Answer:
x=-4.5
Step-by-step explanation:
2x+8=-1
step 1 subtract each side by 8
8-8 cancels out
-1-8=-9
now we have
2x=-9
step 2 divide each side by 2
2/2 = cancels out
\(\frac{-9}{2} =-4.5\)
x=-4.5
hope this helps!
consider polynomial function f f(x)=(x-1)^2(x+3)^3(x+1)
use the equation to complete each statement about this function
The zero located and x=1 has a multiplicity of __ and the zero located at x=-3 has a multiplicity of __. The graph of the function will touch, but not cross, the x-axis at the x-value of __.
Answer:
x1=-3, x2=-1,x3=1
Step-by-step explanation:
not sure if this helps but it did for me
The blanks will have values 2, 3, and 1 respectively.
What is zero of a function?
Zero of a function is defined as the roots of the function for which the value of the function will be 0 at those points.
If p is the zero of the function f(x)=0 then f(p)=0.
We have,
f(x) = (x-1)² (x+3)³ (x+1)
Now,
The zero is located at x=1 and has a multiplicity of 2.
Because the number of times a given factor appears in the factored form of the equation of a polynomial is called the multiplicity.
So,
Now,
The zero is located at x = - 3 and has a multiplicity of 3.
And,
The graph of the function will touch, but not cross, the x - axis at the x - value of 1.
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stephine puts 30 cubes in a box.the cubes are 1/2 inch on each side.the box holds 2 layers with 15 cubes in each layer.what is the volume of the box
The Volume of the box is 3.75in³
Volume of a cubeThe volume of the box is dependent on the volume of the cube in it.
To obtain the volume of a cube, we use the relation, V = s³
s = side of the cube
For each cubeVolume = 0.5³ = 0.125 in³
Number of cubes in box = 30
Volume of the boxVolume of each cube × Number of cubes
0.125 × 30 = 3.75 in³
Hence, the volume of the box is 3.75in³
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A retail store makes k% profit on the selling price. What is the least integer value of k that will enable the store to make a profit of at least 30% of the cost of the item?
Answer:
k = 23% profit on sale price is needed to ensure 30% profit on cost price
Step-by-step explanation:
Let sale price be = s , Profit = k% of s
Let cost price be = 100 , Profit = 30% of c
Cost price (c) + profit (p) = Sale price (s)
c + 0.3c = s
1.3c = s
Profit as a percentage of sale = (Profit / Sale) x 100
= (0.3c / 1.3c) x 100
= 23%
solve 3 1/5 = y - 12/25
3 1/5 = y - 12/25
31/5+y = -12/25
31+y = -12/25×5
31+y = -12/5
y = -12/5-31
y = -143/5
y = -28.6
HOPE IT HELPS
1. Rectangle EFGH with vertices E(1,-1), F(4, -1), G(4,-5),
and H(1, -5); scale factor: k = 3,
center of dilation: (2, -4)
Answer:
The new vertices of the rectangle after applying a scale factor of 3 with a center of dilation at (2, -4) are E'(-1, -11), F'(7, -11), G'(7, -15), and H'(-1, -15
Step-by-step explanation:
Divide. (54t2−81t)÷(9t)
Answer:
The answer is 6t-9. This can be calculated by dividing the numerator (54t2−81t) by the denominator (9t). This gives 6t-9.
Step-by-step explanation:
Answer:
81t2+16
Step-by-step explanation:
(9t-4)(-9t-4) : Equation
Distribute parentheses using:(a + b)(c + d) = ac + ad + bc + bd.
Where : a=9t, b=-4, c=-9t, d=-4.
This leads to 9t(-9t) +9t (-4) -4- (9t) -4 (-4).
Now we have to Apply minus-plus rule.
Where: -(-a)=a.+(-a)=-a
-9t.9t - 9t.4 + 4.9t = 4.4
=81t2+16
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Choose the correct answer below
The correct statement is;
False, because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be x = 2π/3 + 2nx and x = 4π/3 + 2nx.
Option D
How to determine the statementFrom the information given, we have that;
All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx
There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx
Such that n is an integer.
This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.
The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.
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A drink bottler needs to fill 16 one-pint bottles and he has two tanks: one that contains 2 gallons of soda and a second that contains 3 gallons which will he need to fill the bottles?
Answer:
2 Gallons of Soda
Step-by-step explanation:
that is the answer above
HELP ME PLEASE I DONT KNOW WHAT TO DO!!!!!!!!
Answer:
I would have to guess c because it show a decrease in the number line
Step-by-step explanation:
Step-by-step explanation:
ɪᴛs ᴛʜᴇ ʟᴀsᴛ ᴏᴘᴛɪᴏɴ D
ᴀs ᴛʜᴇ ᴅᴏᴛ ɪs ᴘᴏɪɴᴛᴇᴅ ʙᴇᴛᴡᴇᴇɴ -15 ᴀɴᴅ -20
12 is 3 more than 7
True or False?
Answer:
false
Step-by-step explanation:
It is 5 more 7+3 is 10 and 5+7 is 12
Answer:
false
Step-by-step explanation:
false coz 12 is 5 more than 7 not 3
How are triangleABC and triangle ADE related? How do you know pls explain.
Triangle ABC and ADE are similar triangles
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.
It has been shown that angles in ABC and ADE are equal.
To show that the ratio of corresponding sides are equal
6/12 = 8/16 = 10/20
The ratios all give a value of 1/2
Therefore we can say that the triangles ABC and ADE are similar.
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Model and Solve the problem.
5x1/2 Please hurry!!
Answer:
2.5
Step-by-step explanation:
i just did 5 times 0.5 hope this helped.
and 2.5 is greater then 2.05
Write an equation of the line with the given slope and y-intercept: m = -5,b=4
a. y = -5x + 4
b. y = 5x + 4
c. y= -57-4
d. y = 5x-4
Please select the best answer from the choices provided
Answer:
A.
I hope this will be useful
Factor the expression -8x 2+ 22x - 15
Sorry my kid needs help with this
Answer:
700,000
Step-by-step explanation:
Well, \(10^{4}\) as we know is 10(10)(10)(10), or 10 multiplied by itself 4 times.
The easiest way to solve this, is knowing that because 10 is being multiplied by itself 4 times, it'll have the outcome of 10000, which has 4 zeroes. This is very good to remember, so I recommend remembering it :) Just like if the question was about \(10^{5}\), it would be 100000, which has 5 zeroes.
So now we add on all of those zeroes to 70.
700000 would be your answer because we added on 4 more zeroes.
To begin a basketball game a referee must toss the ball vertically into the air. This process can be modeled by the equation h(t)=-16t^2+22t+6, where h represents the balls height in feet after t seconds. Determine the time, in seconds) it takes the basketball to hit the ground. Round your answer to the nearest tenth of a second.
Answer: 1.277s and 0.098s
Given the height of the ball modeled by the equation
h(t) = -16t^2+22t+6, where;
t is the time in seconds
To calculate the time interval (in seconds) in which the height of the basketball is 8 feet, we will simply substitute h(t) = 8 into the expression and calculate t as shown;
8 = -16t^2+22t+6
Divide through by 2
4 = -8t^2+11t+3
-8t^2+11t+3-4 = 0
8t^2-11t+1 = 0
t = 11±√11²-4(8)/2(8)
t = 11±√121-32/16
t = 11±√89/16
t = 11±9.43/16
t = 11+9.43/16 and t = 11-9.43/16
t = 20.43/16 and t = 1.57/16
t = 1.277s and t = 0.098s
Hence the time interval to the nearest thousands are 1.277s and 0.098s.
Step-by-step explanation:
anwer this question.
no link or u are at risk
Answer:
where's the question? can you post a screenshot
Combine Like Terms: 2 (x+1) +3(x+2)
what is the slope of the line?
Answer:
-1
Step-by-step explanation:
the slope of the line is given by the equation m=(y2-y1)/(x2-x1)
here the line passes with the coordinate (-2,0),(0,-2)
m=(-2-0)/(0-(-2))
= -2/2
= -1
2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method.
Answer:
The zeros are 1 and 2
Step-by-step explanation:
Given
\(y =x^2 - 3x + 2\)
Required
The zeros
\(y =x^2 - 3x + 2\)
Expand
\(y =x^2 - 2x-x + 2\)
Factorize
\(y =x(x - 2)-1(x - 2)\)
Factor out x - 2
\(y =(x - 1)(x - 2)\)
Set to 0
\((x - 1)(x - 2)=0\)
Solve for x
\(x - 1 = 0 \to x =1\)
\(x - 2 = 0 \to x =2\)
Hence, the zeros are 1 and 2
Please help with this pls
Answer:
Step-by-step explanation:
its c
What is the domain of the function shown in the graph below? y 10 OSCO 7 6 5 4 3 2 1 I 1 -10 -8 -9 -5 -4 -3 -2 1 2 3 4 8 ON 5 9 10 - 2 -3 -4 -5 -8 -9 10
The function is define for all values of x greater than or equal -3 and less than or equal 3
Hence the domain of the function is;
-3 ≤ x ≤ 3
a^2 - b^4 Evaluate is a= -5 and b= 2
21
Explanations:Given the expression
\(a^2-b^4\)We are to find the resulting value given that a = -5 and b = 2
\(\begin{gathered} =(-5)^2-(2)^2 \\ =25-4 \\ =21 \end{gathered}\)Hence the value of the expression if a = -5 and b = 2 is 21
PLS HELP I WILL MARK BRAINILEST
Answer:
Let's assume the original price of the stock was x.
When the company announced it overestimated demand, the stock price fell by 40%.
So, the new price of the stock after the first decline was:
x - 0.4x = 0.6x
A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.
So, the new price of the stock after the second decline was:
0.6x - 0.6(0.6x) = 0.24x
Given that the current stock price is $2.40, we can set up the equation:
0.24x = 2.40
Solving for x, we get:
x = 10
Therefore, the stock was originally selling for $10.
Chandni compares two cylinders. Both cylinders have an identical base. The first cylinder has a height of 4 inches and a volume of 120 cubic inches. The second cylinder has a height of 7 inches. What is the volume, in cubic inches, of the second cylinder?
Answer:
33 Cubic inches
Step-by-step explanation:
The volume, in cubic inches, of the second cylinder is,
⇒ 210 inches³
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Chandni compares two cylinders. Both cylinders have an identical base.
Now, The first cylinder has a height of 4 inches and a volume of 120 cubic inches.
And, The second cylinder has a height of 7 inches.
Let the volume, in cubic inches, of the second cylinder is, x
Hence, We can formulate;
120 / 4 = x / 7
⇒ 120 × 7 = 4x
⇒ 4x = 840
⇒ x = 210 inches³
Thus, The volume, in cubic inches, of the second cylinder is,
⇒ 210 inches³
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How do you solve linear equations in algebra ?-3y>-3-4x
Given linear equations in algebra: -3y >-3-4x
The above is an inequality.
To solve linear equation with two variables we need two equations.
Only one equation is given. The only other explanation is to solve for any of the variables by making it the subject of formula.
On a number line, point A is at coordinate 1. Point B is at coordinate-5. Find the
coordinate that is the midpoint from A to B.
Answer:
-2
Step-by-step explanation:
Midpoint is the half of the sum of endpointsPoint A = 1
Point B = - 5
Midpoint :
(1 + (-5))/2 = -4/2 = -2Please ASAP answer this question:)
Answer:
17 in
Step-by-step explanation:
H²= 8²+15²
H²= 64+225
H²=289
H= √289
H= 17
Answer:
17 in. (option C)
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Set the hypotenuse as x.
8² + 15² = x²
Simplify.
x² = 289
Remove the square from both sides.
x = √289 = 17
Thus, the answer is C, 17.
what is the measure of the smaller angle between the hands of a clock at 8:00
Look at the circle divided into 12 parts that represents a clock
Let's take each part as x°
we know that 12x°=360
x°=360/12
x°=30°
Now, how many parts are there between the hands of a clock at 8:00?
4 parts, which means
4x°
Replace x°
4*(30°)=120°
The measure of the smaller angle between the hands of a clock at 8:00 is 120°
Eighteen less than 9 times a number is the same as 22 more than the number. what's the number ? Please 20 points!
Answer:
5
Step-by-step explanation:
let "a number" be y
Set up equation
9y-18=y+22
solve
8y=40
y=5