The value of the x from the given equation is 1 and 6/7.
According to the statement
we have given that the quadratic equation and we have to find the solve for the value of the x.
So, For this purpose we know that the
A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers.
So, The given equation is
7x^2 -x -6 =0
Find the factors of the equation
7x^2 -7x + 6x -6 =0
7x(x-1) -6(x-1) = 0
(x-1)(7x-6) =0
here the values of x becomes 1 and 6/7.
So, The value of the x from the given equation is 1 and 6/7.
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Nacho cheese corn chips are 28,6% fat. it a party size bag contains 15 ounces of corn chips, and each gram of fat equals 9 calories, how many calories from fat are there in a party sized bag of nacho cheese corn chips?
Based on the amount of Nacho cheese corn chips and the calories per gram, the calories per party bag is 1,094.6 calories
What amount of calories are in a party bag?First, convert ounces to grams:
= 1 ounce is 28.3495 grams
Party bag in grams:
= 15 x 28.3495
= 425.243 grams
The amount of calories is:
= 425.243 x 28.6% x 9
= 1,094.6 calories
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You need to build a model that predicts the volume of sales (Y) as a function of advertising (X). You believe that sales increase as advertising increase, but at a decreasing rate. Which of the following would be the general form of such model? (note: X^2 means X Square)
A. Y ^ = b0 + b1 X1 + b2 X2^2
B. Y ^ = b0 + b1 X + b2 X / X^2
C. Y ^ = b0 + b1 X + b2 X^2
D. Y ^ = b0 + b1 X
E. Y ^ = b0 + b1 X1 + b2 X2
The general form of such a model that predicts the volume of sales (Y) as a function of advertising (X) in which sales increase as advertising increases, but at a decreasing rate is given by Y^ = b0 + b1X + b2X². Option C.
The general form of the model that fits the description of the sales model that is given in the problem is C. Y^ = b0 + b1X + b2X². Where Y^ represents the predicted or estimated value of Y. b0, b1, and b2 are the coefficients of the model, and they represent the intercept, the slope, and the curvature of the relationship between X and Y, respectively.
In this model, the variable X has a quadratic relationship with the variable Y because of the presence of the squared term X². This indicates that the effect of X on Y is not linear but curvilinear, which means that the effect of X on Y changes as X increases. Specifically, the effect of X on Y increases initially but then levels off or diminishes as X becomes larger. Answer option C.
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1) Which of these is a two-step equation?
A) x +9=21
B) x = 11
C) 2x + 9 = 21
A two-step equation is an equation which needs two steps to solve.
In this case, answer choice "C" is a two-step equation.
2x + 9 = 21. Subtract 9 from both sides
2x = 12. Divide both sides by 2.
x = 6.
Answer choice "B" just gives us the answer.
Answer choice "A" needs only one step to solve the equation.
x + 9 = 21. Subtract 9 from both sides.
x = 12.
The equation with two-step solution is x +9=21.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
A) x+ 9 = 21
Subtract 9 from both side we get
x +9 -9 = 21 -9
x = 12
B) x = 11
C) 2x + 9 = 21
Subtract 9 from both side we get
2x = 12
Divide both side by 2
x = 6.
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yo i need some help this determines weather i pass or fail
To make 4 dozen cookies she would need
→ 3/2 cup peanut butter
→ 3 cup of vegetable shortening
→ 1 1/2 cups of firmly packed light brown sugar
→ 6 tablespoons of milk
→ 2 3/2 tablespoons of vanilla extract
→ 2 cups of flour
→ 3/2 teaspoon of baking soda
→ 1/2 teaspoon salt
To make 4 dozen cookies
she will need double the items which are mentioned in the list
thus the required list will look like this
3/4 × 2 = 3/2 cup peanut butter
3/2 cup of vegetable shortening = 3/2 × 2 = 3 cup of vegetable shortening
1 1/4 cups of firmly packed light brown sugar = 1 1/4 × 2 = 1 1/2 cups of firmly packed light brown sugar
3 tablespoons of milk = 3 × 2 = 6 tablespoons of milk
2 3/4 tablespoons of vanilla extract = 2 3/2 tablespoons of vanilla extract
1 large egg = 1× 2 = 2 large eggs
1 1/2 cups flour = 1 1/2×2 = 1 + 1 = 2 cups of flour
3/4 teaspoon baking soda = 3/2 teaspoon of baking soda
1/4 teaspoon salt = 1/4 × 2 = 1/2 teaspoon salt
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HELP PLEASE
Use the value of the discriminant to determine the number and type of roots for the equation,
X^2 = 4x - 4
A. 2 real, irrational roots
B. 1 real, rational root
C. 2 complex roots
D. 2 real, rational roots
We are given –
\(\qquad\) \(\twoheadrightarrow\bf x² = 4x -4\)
\(\qquad\) \(\twoheadrightarrow\bf x² -4x +4 = 0\)
Where, a = 1 ; b = -4 ; c = 4Let's find it's discriminant.
We know –
\(\qquad\) \(\purple{\twoheadrightarrow\bf Discriminant = b² - 4ac}\)
\(\qquad\) \(\twoheadrightarrow\sf Discriminant = (-4)² - 4 \times 1 \times 4\)
\(\qquad\) \(\twoheadrightarrow\sf Discriminant = 16-16\)
\(\qquad\) \(\purple{\twoheadrightarrow\sf Discriminant =0 }\)
If Δ (Discriminant) >0here are two separate real roots.If Δ (Discriminant) =0, there are two identical real roots.If Δ (Discriminant) <0, there are no real roots, but there are two complex roots.As we got –
Δ Discriminant is 0 that means , there are two identical real roots. Henceforth, Option (D) 2 real, rational roots – is correct.when a = 2, what is the value of 3a + 6 + 5a
3×2 + 6 + 5×2 =
6 + 6 + 10 =
22
.....
solve: -3 |x-3| = -6
how do i solve absoulute value ?
Answer:
x=5,1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
shows some values of a linear function f and an exponential function g. find exact values (not decimal approximations) for each of the missing entries. x 0 1 2 3 4 f(x) 10 ? 20 ? ? g(x) 10 ? 20 ? ?
The missing entries for f(x) are 20, 30, and 40, and the missing entries for g(x) are 40, 80, and 160.
The missing entries for f(x) can be found by knowing that f is a linear function and using the values given. A linear function has the form f(x) = ax + b, where a is the slope and b is the y-intercept. Since f(0) = 10 and f(1) = 20, we can use these two points to find a and b.
Putting x = 0 in the equation, we get:
f(0) = 10 = a(0) + b
Putting x = 1 in the equation, we get:
f(1) = 20 = a(1) + b
Solving these two equations simultaneously, we find:
a = 10
b = 0
So, the equation for f is:
f(x) = 10x + 0 = 10x
Using this equation, we can find the missing entries for f(x) in the table:
f(2) = 10x = 10(2) = 20
f(3) = 10x = 10(3) = 30
f(4) = 10x = 10(4) = 40
So the missing entries for f(x) are 20, 30, and 40.
To find the missing entries for g(x), we need to know the form of the exponential function g. A common form for exponential functions is g(x) = ab^x, where a is the y-intercept and b is the growth factor. Since g(0) = 10 and g(1) = 20, we can use these two points to find a and b.
Putting x = 0 in the equation, we get:
g(0) = 10 = a(1)^0 = a
So, a = 10.
Putting x = 1 in the equation, we get:
g(1) = 20 = 10b
Solving for b, we find:
b = 2
So, the equation for g is:
g(x) = 10(2^x)
Using this equation, we can find the missing entries for g(x) in the table:
g(2) = 10(2^2) = 10(4) = 40
g(3) = 10(2^3) = 10(8) = 80
g(4) = 10(2^4) = 10(16) = 160
So the missing entries for g(x) are 40, 80, and 160.
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--The given question is incomplete; the complete question is
"The table below shows some values of a linear function f and an exponential function g. find exact values (not decimal approximations) for each of the missing entries. x 0 1 2 3 4 f(x) 10 _ 20 _ _ g(x) 10 _ 20 _ _"--
Which shows two triangles that are congruent by the SSS congruence theorem?
O
O
O
A
B
B
B
B
E
E
C
C
D
D
E
W
The second option shows a pair of triangles which are congruent by the SSS congruence theorem.
What is the SSS congruence theorem?The SSS (Side - Side - Side) congruence theorem states that if two triangles have three sides that are congruent to each other, then the two triangles are congruent by the SSS theorem.
The congruent sides for the second option are given as follows:
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how to graph x=y^2 on ti-83
To graph the equation \(x=y^2\) on a TI-83 calculator, you need to follow a few steps. First, go to the "\(Y=\)" screen by pressing the "\(Y=\)" button. Then, enter the equation by typing "\(y^2\)" into the first available function slot. Press the "GRAPH" button to display the graph of the equation on the calculator screen.
To explain the process in more detail, start by turning on your TI-83 calculator and pressing the "\(Y=\)" button, which will take you to the function screen. You'll see a list of function slots labeled "\(Y1\)," "\(Y2\)," and so on. Enter the equation "\(y^2\)" in one of the slots. To enter the squared symbol, press the "^" key, usually located near the upper right corner of the calculator's keypad, followed by "\(2\)." Make sure you use the "\(y\)" variable, which can be found by pressing the "ALPHA" button and then the corresponding letter key. Once you have entered the equation, press the "GRAPH" button to plot the graph on the calculator's screen. The graph should display a parabola opening to the right, representing the equation \(x=y^2\).
By following these steps, you can easily graph the equation \(x=y^2\) on a TI-83 calculator. Remember to check if the graph is within the viewing window and adjust it if necessary using the window settings.
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Farmer Jack wants to build a fence that is 44 feet long with an area greater than 105 square feet for a chicken coop. Under which conditions should Farmer Jack build his fence?
A. The length of the fence must lie between 7 ft. and 15 ft., including 7 ft. and 15 ft.
B. The length of the fence must be greater than or equal to 15 ft. or less than or equal to 7 ft.
C. The length of the fence must be greater than 15 ft. or less than 7 ft.
D. The length of the fence must lie between 7 ft. and 15 ft., not including 7 ft. and 15 ft.
The conditions under which the Farmer Jack should build his fence is; B. The length of the fence must be greater than or equal to 15 ft. or less than or equal to 7 ft.
How to find the area of a fence?
We are told that the length of the entire fence is 44 ft long. Thus it means that the perimeter is 44 ft long.
Now, since the fence is a rectangular shape, it means that;
a + b = 44/2
a + b = 22 ----(1)
Now, we are told that the area has to be greater than 105 sq. ft. Thus;
ab > 105 ------(2)
From eq 2; a > 105/b
Thus; (105/b) + b = 22
Multiply through by b to get;
105 + b² = 22b
b² - 22b + 105 = 0
Solving using quadratic equation calculator gives;
b ≤ 7 or b ≥ 15
Thus, we can conclude that the length of the fence must be greater than or equal to 15 ft. or less than or equal to 7 ft.
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WHATS THE ANSWER PLSZ HELP
Answer:
a. 0.8 = 0.5 + 0.3
b. 30.9 = 2.7 + 28.2
c. 15.4 = 3.1 + 2.4 + 9.9
d. 17.4 = 15.2 + 1.4 + 0.8
e. 42.5 = 39.2 + 2.5 + 0.8
f. 8 = 4 + 4
g. 35 = 23 + 8 + 4
h. 84 = 53 + 3 + 28
i. 121 = 11 + 17 + 93
j. 35 = 24 + 8 + 3
What is the area of this cross section of this rectangular prism? Enter your answer in the box.
10 in.
16 in.
16 in.
Answer:
1152in²
Step-by-step explanation:
Given the following
Length = 10in
Width = 16in
Height = 16in
surface area of the prism = 2(LW + WH + LH)
surface area of the prism = 2(10*16+ 16*16 + 10*16)
surface area of the prism = 2(160+256+160)
surface area of the prism = 2(576)
surface area of the prism = 1152in²
Which complex number's graph is shown?
The complex number that the given graph depicts is:
D: 2{cos 7π/4 + i sin 7π/4}
How to interpret complex number graphs?The complex number shown has coordinates (1.35, -1.35)
or
z = 1.35 - 1.35i
The modulus is:
|z| = √(1.35² + (-1.35)²)
|z| = √3.645
|z| ≈ 2
The argument is:
θ = tan⁻¹(-1.35/1.35)
θ = tan⁻¹(-1) = 7π/4
The polar form is:
2{cos 7π/4 + i sin 7π/4}
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A triangle has two sides of length 2 and 10. What is the smallest possible whole-number length for the third side?
Answer:
11
Step-by-step explanation:
the answer is 11 because of therom
What is the slope of the line? *
Answer:
The line isnt there but....
Step-by-step explanation:
I suggest to make a table
x y
( ) ( )
( ) ( )
and on each section put the points on the correct input and output
once you do that you want to see how much you need to add or subtract to get to the other input or output
For example
if i have ( 5, 10) and ( -5, -10)
I would make a table that looks like this with each of the inputs and outputs.....
x y
5 10
-5 -10
From 10 to -10 you need to subtract 20
from 8 to -8 you need to subtract 10
so y/x
-20/-10
2 negative numbers make a positive so...
your slope will be 2
So with any numbers that they give you, use what I showed u
Hope this helped to clarify a little!
Answer:
yeah that is what you do i could give an awnser if ther was a pc
Nicole is on her way in her car. She has driven 20 miles so far, which is one-half of the way home. What is the total length of her drive
Answer:
40 miles
Step-by-step explanation:
If Nicole has driven 20 miles and this is only half the distance, then the total length of her drive would be 40 miles.
We can determine this with a simple algebraic equation:
Let x be the total length of her drive.
We know that Nicole has already driven one-half of the distance, which can be represented as:
20 = 1/2x
Multiplying both sides by 2, we get:
40 = x
Therefore, the total length of Nicole's drive is 40 miles.
Under laminar conditions, the volume flow Q through a small triangular section pore of side length b, and length L is a function of viscosity , pressure drop per unit length p/L, and b. Using the pi theorem, rewrite this relation in dimensionless form. How does the volume flow change if the pore size b is doubled?
The volume flow Q through a small triangular section pore can be related to viscosity, pressure drop per unit length, and pore size through the Buckingham Pi theorem.
Let's first identify the fundamental dimensions involved in this problem:
Length (L)
Mass (M)
Time (T)
Using these fundamental dimensions, we can form three dimensionless pi groups that express the relationship between the variables:
Reynolds number: Re = (ρVL)/µ, where ρ is the density of the fluid, V is the characteristic velocity (which is proportional to pressure drop per unit length), µ is the viscosity of the fluid, and b and L are characteristic length scales.
Aspect ratio: Γ = L/b
Shape factor: Ψ = (Qb²)/(µVL)
The volume flow Q can therefore be written in terms of the other variables as:
Q = (ΨµVL)/b²
To answer the second part of the question, if the pore size b is doubled, the volume flow Q will increase by a factor of 4, assuming all other variables remain constant. This is because the shape factor Ψ is proportional to b², so doubling b will lead to a four-fold increase in Ψ and thus in Q.
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A cable hangs between two poles 12 yards apart. The cable forms a catenary that can be modeled by the equation y =12 cosh (x/12) - 9 between x = -6 and x = 6. Find the area under the catenary. Round your answer to four decimal places. Area = yards?
The area under the catenary between x = -6 and x = 6 is approximately 42.0754 square yards.
To find the area under the catenary modeled by the equation y = 12cosh(x/12) - 9 between x = -6 and x = 6, you can follow these steps:
Step 1: Understand the problem
You are given the equation of the catenary and the interval of interest, and you need to find the area under the curve.
Step 2: Set up the integral
To find the area under the curve, you need to integrate the given function with respect to x, from the lower limit (-6) to the upper limit (6). The integral is:
Area = ∫[-6, 6] (12cosh(x/12) - 9)dx
Step 3: Calculate the integral
Now, you need to find the antiderivative of the function inside the integral. The antiderivative of 12cosh(x/12) is 144sinh(x/12) and the antiderivative of -9 is -9x. So, the integral becomes:
Area = [144sinh(x/12) - 9x] evaluated from -6 to 6
Step 4: Evaluate the integral at the limits
Evaluate the antiderivative at the upper and lower limits and subtract the results:
Area = (144sinh(6/12) - 9(6)) - (144sinh(-6/12) - 9(-6))
Step 5: Simplify and calculate
Simplify the expression and calculate the result. Round the answer to four decimal places:
Area ≈ 42.0754 square yards
So, the area under the catenary between x = -6 and x = 6 is approximately 42.0754 square yards.
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Colton has $67,696 in a savings account that earns 2% interest per year. The interest is not compounded. How much interest will he earn in 1 year?
Colton has $67,696 in a savings account that earns 2% interest per year. The interest is not compounded. How much interest will he earn in 1 year?
we know that
2%=2/100=0.02
so
To find out the amount of interest, multiply the total amount by the percentage in decimal form
(67,696)*0.02
=$1,353.92I AM ON A TIMER!! HURRY PLEASE!!!!
What is the answer to this?
Answer:
(1,6) and (4,6)
Step-by-step explanation:
Answer:
(2,4)
Step-by-step explanation:
It's where the two lines cross, or where that black dot is.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
What is the slope of the line that passes through the points (1, -19) and (-2,-7)
a. -1/4
b. -4
c. 4
d. 1/4
Answer:
b. -4
Step-by-step explanation:
Slope m = (y2-y1)/(x2-x1)
m = (-7 - -19)/(-2 - 1) = (-7 + 19)/(-3) = 12/-3 = -4
HEELLPPP!!!!! An import/export business marks up imported merchandise by . If a wicker chair imported from Singapore originally costs from the manufacturer, what is the retail price?
The retail price is $?
.
The retail price is $354.65.
What is retail price?
The price at which a product's manufacturer ostensibly recommends that a retailer sell it is referred to as the list price, also known as the manufacturer's suggested retail price, recommended retail price, or suggested retail price of a product.
Given: An import/export business marks up imported merchandise by 105%.
A wicker chair imported from Singapore originally costs from the manufacturer $173.
We have to find the retail price.
Retail price = \(= 173 + 173*\frac{105}{100} \\\)
= 173 + 181. 65
Retail price = 354.65
Hence, Retail Price is $ 354.65.
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What is the meaning of sampling probability?
The sampling probability refers to the property of an element of a given population in its given probability to become a part of a sample during the drawing of a single sample.
It is a defined and distinguished technique that is based on the principle of random selection to study a certain part of a concerning population. Furthermore, in this specific method, every member of the population has the possibility of having an equal chance of being chosen for the sample.
One backlash in the field of using sampling probability is it's very time-consuming and has a higher expenditure in comparison to other methods.
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Excel's =100*RAND() function produces continuous random numbers that are uniformly distributed between 0 and 100. The standard deviation of this distribution is approximately Multiple Choice 33.33 28.87. 25.00. 50.00
The standard deviation of the distribution produced by
Excel's =100×RAND() function, which generates continuous random numbers uniformly distributed between 0 and 100, is approximately 28.87.
The =100×RAND() function in Excel generates random numbers between 0 and 100 by multiplying the output of the RAND() function by 100.
The RAND() function produces random numbers that are uniformly distributed between 0 and 1.
To calculate the standard deviation of a uniform distribution, we can use the formula σ = \(\frac{(b-a)}{\sqrt{12} }\), where σ is the standard deviation and a and b are the lower and upper bounds of the distribution, respectively.
In this case, the lower bound (a) is 0 and the upper bound (b) is 100. Substituting these values into the formula, we have σ = \(\frac{(100 - 0) }{\sqrt{12} }\)≈ 28.87.
Therefore, the standard deviation of the distribution produced by Excel's =100×RAND() function is approximately 28.87.
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In the diagram, x is a negative number and y is a positive number. Select the expression that is a positive.
Answer choices:
x(y)
x - y
y/x
y - x
Answer:
Option 4: y -x
Step-by-step explanation:
Option 1
Multiplying a positive and a negative number will result in a negative number.
For example, if x= -1 and y=5,
x(y)= -1(5)= -5 (a negative number)
Thus, option 1 is incorrect.
Option 2
In this option, we are essentially multiplying -1 to y, a positive number, before adding the result with x.
Since y is a positive number, -y is a negative number and hence x -y (when x is a negative number) will result in a negative number. Let's plug in values into x and y to check this.
For example, x= -2 and y=3.
x -y= -2 -3= -5
Option 2 is thus incorrect.
Option 3
Dividing a positive number with a negative number will result in a negative number.
For example: 6÷(-2)= -3
Option 3 is also incorrect.
Option 4
Subtracting a negative number from a positive number will result in a positive number.
For example: x= -1, y= 8
y -x= 8 -(-1)= 8 +1= 9
As seen from the example above, when the negative number is multiplied to negative 1, a positive sign results.
In summary, when a positive number is multiplied to a positive number, the resulting number is positive.
When a negative number is multiplied to a negative number, the resulting number is positive.
When a positive number is multiplied to a negative number, the resulting number is negative.
+(+)= +
-(-)= +
+(-)= -
This applies to division too.
How many different 6-digit PIN codes using only the digits 0-9 are possible?
Pls help me ill follow u like everything
Answer:
Step-by-step explanation:
Where a number=x
Product of 6= y and z
product of a number(x)=u and v
A hot-air balloon descended 0.8 meters per second for 10 seconds. It
then climbed at 0.4 meters per second for 5 seconds.
What was the average rate of change in altitude per second?
Answer:
Step-by-step explanation:
we will use 0,8 in 10 seconds as thats the easiest.
for 10 to become 1 we move the decimel once to the right, 10/10
same will happen to 0.8,
10/10=1
0.8/10=0.08
The hot air-ballon climbs 0,08 meters per second
Graph y > x^2 - 3.
Click on the graph until the correct graph appears.
Answer: The first one
Answer:
The first one