Answer:
part 1
1. -25
2. 40
3. -25
4. -25
5. 9
6. 35
7. -63 1/2
8. -12
part 2
1. $35
2. No they did not, they needed $1100 but only got $35. They were $1065 off.
Please help solve this
Answer: ∞
Step-by-step explanation: First, find the indefinite integral F (x), and then evaluate F (∞)–F(– ∞).
y-12=c when you solve for y
is what?
Answer:
17
Step-by-step explanation:
If you are trying to solve the equation "y-12=c" for y, you would begin by adding 12 to both sides of the equation to obtain "y=c+12". This means that y is equal to the value of c plus 12.
For example, if you were given the equation "y-12=5", you would have "y=5+12" or "y=17".
6. A shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandals. Write an expression for the total amount of sales the store makes.
The expression for the total amount of sales the store makes will be:25s + 28.8p
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
From the information, the shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandal.
Let sneakers = s
Let sandals = p
An expression for the total amount of sales the store makes will be: 1/2(50s) + 0.8(36p).
= 25s + 28.8p
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The graph of function f is shown. Function g is represented by the table. x -1 0 1 2 3 4 g(x) 24 6 0 -2 Which statement correctly compares the two functions? A. They have different end behavior as x approaches -∞ and different end behavior as x approaches ∞. B. They have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞. C. They have the same end behavior as x approaches -∞ and the same end behavior as x approaches ∞. D. They have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞.
The answer choice which correctly draws a comparison between the end behaviors of the functions is; Choice C; They have the same end behavior as x approaches -∞ and same end behavior as x approaches ∞.
As given in the task content; the graph of the exponential function passes through (-4, 9), (0, 1), (1, 0), and (5, -2).
It therefore follows that as; x reduces (approaches -∞), the y value increases.
And, as x -increases (approaches +∞), the y-value decreases.
For the table, the values can be written as coordinates as follows; (-1,2), (0,4), (1,6), (2, 0), (3,-2).
Consequently, as x reduces (approaches -∞), the y- values decrease.
And, as x increases (approaches +∞), the y-values decrease.
Ultimately, the two functions in discuss can be concluded to have; Choice C.
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First accurate answer gets brainliest
Answer: \(20x^2 + 47x+24\)
Step-by-step explanation:
We just multiply the values on the edges like we are finding the area of a square, L * L = area.
4x * 5x = 20x^2
4x * 8 = 32x
3 * 8 = 24
3 * 5x = 15x
Next add the answers together
20x^2 + 47x + 24
Answer:
option 3
Step-by-step explanation:
you need to times (4x+3) by (5x+8)
so you basically need to expand the brackets and collect like terms
name the quadrilateral with 2 pairs of consecutive congruent sides with diagonals that meet at a right angle
The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.
What is the quadratic equation??
Plsss reply I’ll mark as brainliest
Hello !
1. A quadratic equation results in the form: ax² + bx + c
2. Calculate the discriminant: Δ = b² - 4ac
3. Calculate x with the dicriminant: (-b ± √Δ) / 2a
Example:
3x² + 7x - 2 = 0 is a quadratic equation.
x = (-b ± √(b² - 4ac)) / 2a
= (-7 ± √(7² - 4*3*(-2))) / (2*3)
= (-7 ± √73)/6
Michelle and Robert constructed a wooden bridge for ATVs over a deep creek on the edge of their property. To recuperate the cost of the materials, they decided to charge an annual toll of $8 to each of the 120 members of a local club. A survey showed that for every $1 the toll is increased, 4 members wouldn't use the bridge anymore. What is the best toll charge to allow them to recuperate the cost of the materials the fastest?
Answer:
the answer is $10
Step-by-step explanation:
trust that
what is the sum of 34908
Answer:
Step-by-step explanation:
i 798
the product of two numbers and the difference them are 289 and 20 respectively. find the numbers
Answer:
x = 10 + √389, y = -10 + √389 // x = 29.7231, y = 9.72308
or
x = 10 - √389, y = -10 - √389 // x = -9.72308, y = -29.7231
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStandard Form: ax² + bx + c = 0Quadratic Formula: \(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)Step-by-step explanation:
Step 1: Define Systems
xy = 289
x - y = 20
Step 2: Rewrite Systems
x - y = 20
Subtract x on both sides: -y = 20 - xDivide -1 on both sides: y = x - 20Step 3: Redefine Systems
xy = 289
y = x - 20
Step 4: Solve for x
Substitution
Substitute in y: x(x - 20) = 289Distribute x: x² - 20x = 289Rewrite [SF]: x² - 20x - 289 = 0Define variables: a = 1, b = -20, c = -289Substitute [QF]: \(x=\frac{20\pm\sqrt{(-20)^2-4(1)(-289)} }{2(1)}\)Exponents: \(x=\frac{20\pm\sqrt{400-4(1)(-289)} }{2(1)}\)Multiply: \(x=\frac{20\pm\sqrt{400+1156} }{2}\)Add: \(x=\frac{20\pm\sqrt{1556} }{2}\)Simplify: \(x=\frac{20\pm 2\sqrt{389} }{2}\)Factor GCF: \(x=\frac{2(10\pm \sqrt{389} )}{2}\)Divide: \(x=10\pm \sqrt{389}\)Step 5: Solve for y
Possibility 1: x = 10 + √389
Define equation: x - y = 20Substitute in x: (10 + √389) - y = 20Isolate y term: -y = 20 - (10 + √389)Isolate y: y = (10 + √389) - 20Combine like terms: y = -10 + √389Evaluate: y = 9.72308Possibility 2: x = 10 - √389
Define equation: x - y = 20Substitute in x: (10 - √389) - y = 20Isolate y term: -y = 20 - (10 - √389)Isolate y: y = (10 - √389) - 20Combine like terms: y = -10 - √389Evaluate: y = -29.7231Step 6: Identify Solutions
Possibility 1:
x = 10 + √389, y = -10 + √389
x = 29.7231, y = 9.72308
Possibility 2:
x = 10 - √389, y = -10 - √389
x = -9.72308, y = -29.7231
1) Armando loaned money from a bank to buy a Dodge Challenger that costs $30,940. The interest rate is 3.5% yearly. If he makes no payments, how much would the loan be in 3 years? What about 7 years?
Answer:
3 years: $27691.30
7 years: $23359.70
Step-by-step explanation:
3.5% of 30,940 = 1082.9
for each year there is interest, we multiply it by that amount of years.
equation: 1082.9x
3 years: 3248.7
7 years: 7580.3
since interest is subtracted, we will subtract the multiplied interests from above.
equation: 30940 - 1082.9x = answer
3 years: $27691.3
7 years: $23359.7
Answer:
Step-by-step explanation:
On a piece of paper, graph y<-3/4x+2. Then determine which answer choice
matches the graph you drew.
The graph of the linear inequality is given by the image presented at the end of the answer.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The function for this problem is given as follows:
y = -3x/4 + 2.
Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.
The inequality is given as follows:
y < -3x/4 + 2.
Meaning that points below the dashed line are the solution to the inequality.
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Find a function where f(0)=2 and f(1)=2
Answer:
Do you want to be extremely boring?
Since the value is 2 at both 0 and 1, why not make it so the value is 2 everywhere else?
\(f(x) = 2\) is a valid solution.
Want something more fun? Why not a parabola? \(f(x)= ax^2+bx+c\).
At this point you have three parameters to play with, and from the fact that \(f(0)=2\) we can already fix one of them, in particular \(c=2\). At this point I would recommend picking an easy value for one of the two, let's say \(a= 1\) (or even \(a=-1\), it will just flip everything upside down) and find out b accordingly:\(f(1)=2 \rightarrow 1^2+b+2=2 \rightarrow b=-1\)
Our function becomes
\(f(x) = x^2-x+2\)
Notice that it works even by switching sign in the first two terms: \(f(x) = -x^2+x+2\)
Want something even more creative? Try playing with a cosine tweaking it's amplitude and frequency so that it's period goes to 1 and it's amplitude gets to 2: \(f(x) = A cos (kx)\)
Since cosine is bound between -1 and 1, in order to reach the maximum at 2 we need \(A= 2\), and at that point the first condition is guaranteed; using the second to find k we get \(2= 2 cos (k1) = cos k = 1 \rightarrow k = 2\pi\)
\(f(x) = 2cos(2\pi x)\)
Or how about a sine wave that oscillates around 2? with a similar reasoning you get
\(f(x)= 2+sin(2\pi x)\)
Sky is the limit.
Will pick brainliest! I need help with this, actual effort in answering is much appreciated.
Answer:
option 2
Step-by-step explanation:
4^2=16/8=2. 4^2=16/16=1. 2-1=1
Simply expression
Please show steps
Answer:
3(x + 5y) - 2(x + y)
3x + 15y - 2x - 2y
x + 13y
(3x + 15y) + (-2x + -2y)
x + 13y
Solve for x.
3x + 9
x=
33
27
30
Answer:
27
Step-by-step explanation:
3x + 9 = 90
3x = 90 - 9
3x = 81
x =27
What is the area of this figure? I give brainliest! :)
Answer:
276yd^2
Step-by-step explanation:
14*12 + 9*12 = 168+108 = 276
Answer:
It’s 276 yd square
Step-by-step explanation:
you would have to split the shape into two different shapes.
9x12=108
12x14=168
then you would add both areas to get 276 which is the total area for this shape.
NO LINKS!!!
Sketch the graph of the solution set of the system of inequalities.
{ x - y^2 > 0
{ x - y > 6
It is easy to use one of the graphing utilities for the graph.
See the attached.
The first graph is a flipped 90 degrees parabola and the border is a dotted curve due to > sign.
The second graph is a line, also dotted due to > sign.
The solution set is the intersection of the area bounded by the graphs.
Estimate the slope of the tangent line (rate of change) to f(x) = ² at x = -1 by finding the slopes of
the secant lines through the points:
a. (-2,4) and (0,0)
secant slope, msec=
b. (-1.5, 2.25) and (-0.5, 0.25)
secant slope, msec=
a. The secant slope through (-2,4) and (0,0) is -2.
b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.
The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.
To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.
a. (-2,4) and (0,0):
The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:
msec = (y2 - y1) / (x2 - x1)
Plugging in the values, we get:
msec = (0 - 4) / (0 - (-2))
= -4 / 2
= -2
So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.
b. (-1.5, 2.25) and (-0.5, 0.25):
The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:
msec = (0.25 - 2.25) / (-0.5 - (-1.5))
= (-2) / (1)
= -2
So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.
By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.
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math adjacent angles
Answer: ∠EFA and/or ∠CFB
Step-by-step explanation:
Adjacent: In order to classify adjacent the 2 angles need to have a common side and common vertex
Starting Angle: ∠CFE
Possible Adjacents: ∠ EFA and/or ∠CFB
anyone have the answer?
Answer:
50.3 (rounded) I think? Could be wrong, however, it's what I got
If your gross annual income is $80,400 and your employer will match 50% of your retirement
contributions to your 401k up to your maximum contributions of 6% of your salary, what is
the maximum dollar amount that together you and your employer will contribute annually?
Answer:
Well, due to the 6% add on, you could go up to 85,400 within the first year, however I am not quite sure for the 401k. Have a good day!
Step-by-step explanation:
In a class of 6, there are 2 students who forgot their lunch.
If the teacher chooses 2 students, what is the probability that both of them forgot their lunch?
In each figure for what values of x and y is the figure a parallelogram
The values of x and y that makes the figure a parallelogram are x = 17 and y = 26
How determine what values of x and y makes the figure a parallelogram?
A parallelogram is a four-sided geometric shape that has opposite sides that are parallel to each other.
The opposite sides of a parallelogram have the same length, and the opposite angles are also equal. The opposite sides of a parallelogram are also known as the bases, and the other two sides are known as the legs.
Since the opposite sides of a parallelogram are equal in length, we can say:
3x + 6 = 4 - x
3x + x = 4 - 6
4x = -2
x = -2/4
x = -1/2 = -0.5
y + 2 = 2y - 3
2 + 3 = 2y - y
5 = y
y = 5
Likewise, the opposite angles of a parallelogram are equal, so we can say:
(4x - 12)° = (3x + 5)°
4x - 12 = 3x + 5
4x - 3x = 5 + 12
x = 17
(3y + 46)° = (5y - 6)°
3y + 46 = 5y - 6
46 + 6 = 5y - 3y
52 = 2y
2y = 52
y = 52/2
y = 26
Thus, x = 17 and y = 26 makes the figure a parallelogram
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multiply [4, 0, -1, 2, -3, -1]x[0, 1, -3, 1]
Please Help...
Multiplication of the given matrix is not possible by definition of matrix multiplication.
Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Expression for multiply,
⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]
Since, We can see that;
First matrix have order 1 x 6
And, Second matrix have order 1 x 4
We know that;
Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.
Hence, By given matrices we get;
Number of column in first matrix (6) ≠ number of rows in second matrix (1)
So, Multiplication of the given matrix is not possible by definition of matrix multiplication.
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Write a function rule for
Answer:
x^2
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
The formula m =
12,000 + 12,000rt
gives Keri's
121
monthly loan payment, where r is the annual
interest rate and t is the length of the loan, in
years.
Keri decides that she can afford, at most, a $275
monthly car payment. Give an example of an
interest rate greater than 0% and a loan length that
would result in a car payment Keri could afford.
Provide support for your answer.
Answer:
example of an interest rate and a loan length that costs under $275/month (example: 4-year loan at 2% interest)
monthly payment for the loan you described (example: 4-year loan at 2% interest is $270/month)
statement that the monthly payment for the loan you described is less than or equal to $275 (example: $270/month payment is less than $275)
Step-by-step explanation:
Just Copy and Paste what I said^ 100% right
Alex made a drawing of the path in his garden. What is the area of the path?
8 m
1 m
7 m
5 m
5 m
6 m
1 m
7 m
Answer:
\(area = (7 \times 1) + (5 \times 1) + (8 \times 1) \\ = 7 + 5 + 8 \\ = 20 \: {m}^{2} \)
In 1990, a total of $641 billion was spent on food and drinks in a particular country. In 2003, the total spent was $1016 billion.
(a) Find the equation of the exponential function that can be used to model the total 7 spent (in billions of dollars) on food and drinks in this country as a
function of the number of years t since 1990. (Round your decimal value to four decimal places.)
x
T=
(b) Use your model to predict the amount spent (in billions of dollars) in 2000. (Round your answer to the nearest integer.)
billion dollars
(c) What is your prediction for the total sales of food and drink (in billions of dollars) in 2018? (Round your answer to the nearest Integer.)
billion dollars
(d) Estimate when the total sales will reach $2 trillion if this exponential trend continues. (Round your answer to two decimal places.)
t=
Part(a),
The exponential function that models the total spent on food and drinks as a function of the number of years since 1990 is:
\(T(x) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^x\)
Part(b),
The predicted amount spent in 2000 is 964 billion dollars (rounded to the nearest integer).
Part(c),
The predicted total sales of food and drink in 2018 is 1756 billion dollars
Part(d),
If the exponential trend continues, the total sales will reach 2 trillion dollars approximately 32.72 years after 1990, which is around the year 2022.
(a) To model the total spent on food and drinks as an exponential function of the number of years since 1990, we can use the general form of an exponential function:
\(T = a \times b^t\)
where T is the total spent in billions of dollars, t is the number of years since 1990, a is the initial amount spent in 1990, and b is the growth factor or base of the exponential function.
Using the given information, we can set up two equations:
T(0) = 641 (total spent in 1990)
T(13) = 1016 (total spent in 2003, which is 13 years after 1990)
Substituting these values into the exponential function, we get:
\(641 = a \timrd b^0\) => a = 641
\(1016 = a b^{13\) => \(b = (\dfrac{1016}{641})^{\frac{1}{13}\)
Therefore, the exponential function that models the total spent on food and drinks as a function of the number of years since 1990 is:
\(T(x) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13})^x\)
(b) To predict the amount spent in 2000, we need to substitute t = 10 (since 2000 is 10 years after 1990) into the exponential function:
\(T(10) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^{10\) ≈ 964
Therefore, the predicted amount spent in 2000 is 964 billion dollars (rounded to the nearest integer).
(c) To predict the total sales of food and drink in 2018, we need to substitute t = 28 (since 2018 is 28 years after 1990) into the exponential function:
\(T(28) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^{28\) ≈ 1756
Therefore, the predicted total sales of food and drink in 2018 is 1756 billion dollars (rounded to the nearest integer).
(d) To estimate when the total sales will reach 2 trillion dollars, we need to solve for t in the exponential function when T(t) = 2000 (since 2 trillion dollars is equivalent to 2000 billion dollars):
\(2000 = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^t\)
\(ln(\dfrac{2000}{641}) = t \times ln((\dfrac{1016}{641})^{(\frac{1}{13})\)
\(t = \dfrac{ln(\dfrac{2000}{641})} { ln((\dfrac{1016}{641})^{(\frac{1}{13})) }}\)
t = 32.72
Therefore, if the exponential trend continues, the total sales will reach 2 trillion dollars approximately 32.72 years after 1990, which is around the year 2022.
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Need help ASAP will give brainliest!!
In circle A, mCFE is 240 degrees.
What is the measure of angle CAE
60
120
270
360
Answer:
120
Step-by-step explanation:
Because its a circle and 360-240 =120