Answer:
the answer is b 9 · x + 9 · 3 + 15x
The expression 9(x + 3) + 15x is equivalent to the given expression.
Given,
9(x + 3) + 15x = 9 · x + 9 · 3 + 15x
9(x + 3 + 15)x = 9 · x + 9 · 3 + 9 · 15x 9 · x + 3 + 15x
We need to find which expression is equivalent to the given expression after using the distributive property.
What is distributive property?We have the distributive property of multiplication over addition and subtraction.
Example:
- distributive property of multiplication over addition
= a x ( b + c )
= a x b + a x c
- distributive property of multiplication over addition and subtraction.
= a x ( b - c )
= a x b - a x c
Find the expression using the distributive property.
We have,
- 9(x + 3) + 15x
= 9 · x + 9 · 3 + 15x
This is equivalent to 9 · x + 9 · 3 + 15x
- 9(x + 3 + 15)x
= ( 9 · x + 9 · 3 + 9 · 15 ) x
= 9 . x . x + 9 . 3 . x + 9 . 15 . x
This is not equivalent to 9 · x + 9 · 3 + 9 · 15x 9 · x + 3 + 15x
Thus the expression 9(x + 3) + 15x is equivalent to the given expression.
Learn more about application of the distributive property here:
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Given the graphs of y = f(x) and y = g(x),
g(x) = f(x)
expresses g(x) in terms of f(x).
Step-by-step explanation:
g(x) = f(x) + 4.
This is because g(x) is a translation of f(x) that has been moved up by 4 units. (-2 to 2 when x = 0)
Given the graphs of y = f(x) and y = g(x),
g(x) = f(x) + 3
expresses g(x) in terms of f(x).
The Answer is 3.
Simplify 3(у- 1) +7 completely.
А. Зу+6
В. Зу+ 4
С. 3y+10
D. Зу- 3
Answer:
B. 3y + 4
Step-by-step explanation:
Step 1:
3 (y - 1) + 7
Step 2:
3y - 3 + 7
Answer:
3y + 4
Hope This Helps :)
Determine whether the source given below has the potential to create a bias in a statistical study. Washington University obtained word counts from the most popular novels of the past five years. Choose the correct answer below.A. There does not appear to be a potential to create a bias. The organization is reputable and has many professional and credible members.B. There does not appear to be a potential to create a bias. The organization would not gain from putting a spin on the results.C. There does appear to be a potential to create a bias. There is an incentive to produce results that are in line with theorganization's creed and that of its funders.D. There does appear to be a potential to create a bias. There is an incentive to make the results statistically insignificant.
Answer:
B
Step-by-step explanation:
A new television set was recently purchased for a common room in a residence hall for $408.00 including tax. If the tax rate is 2%, find the price of the television set before taxes
Answer:
$400
Step-by-step explanation:
To solve this, we need to understand how one reaches the final price. The general formula for final price (with tax) is:
t(c) = p x (1+t)
t(c) is total cost
p is price
t is tax rate as a decimal
To find p, we need to create a new formula. Since we have the total cost ($408) and the tax rate (2% or .02), we can divide the total cost by 1 + the tax rate to solve for the price:
t(c) / (1+t) = p
408 / (1+.02) = $400
I hope this helps!
-TheBusinessMan
Which is the function of x?
Answer:
Step-by-step explanation:A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.
I need help on this one , I keep getting the same answered but says it’s wrongg
Answer:
Step-by-step explanation:
p(x)= -3+4x
p(-2)=-3+4(-2)
p(-2)=-3-8=-11p(0)=-3p(5)=-3+4(5)
p(5)=-3+20
p(5)=17Please I need help with this question!!
[15 + 1/2 ] - [ 2 + 3/4 ] - [6 + 2/3 ]......convertng these to improper fractions, we have
[31 /2 ] - [11 / 4 ] - [ 20 / 3 ] getting a common denominator (12), we have
[186 / 12] - [33 / 12 ] - [ 80 / 12 ] = 73 / 12 inches = about 6.0833 inches left
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6 \frac{1}{12} \: \: \: inches}}}}} [/tex]
Step-by-step explanation:
Total inches of a green ribbon = [tex] \sf{15 \frac{1}{2} }[/tex]
Finding the total inches of ribbon that she cut off
[tex] \sf{2 \frac{3}{4} + 6 \frac{2}{3} }[/tex]
Convert the mixed number into an improper fraction
[tex] \dashrightarrow{ \sf{ \frac{2 \times 4 + 3}{4} + \frac{3 \times 6 + 2}{3}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{8 + 3}{4} + \frac{18 + 2}{3} }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{11}{4} + \frac{20}{3} }}[/tex]
Take the L.C.M ( Least Common Multiple ) of 4 and 3
L.C.M = 4 and 3 = 12
[tex] \dashrightarrow{ \sf{ \frac{11 \times 3 + 20 \times 4}{12} }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{33 + 80}{12}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{113}{12} }}[/tex]
Total inches of ribbon that she cut off = 113/12
Now, finding the left inches of ribbon
[tex] \sf{15 \frac{1}{2} - \frac{113}{12} }[/tex]
Convert mixed number into improper fraction
[tex] \dashrightarrow{ \sf{ \frac{15 \times 2 + 1}{2} - \frac{113}{12} }}[/tex]
[tex] \dashrightarrow {\sf{ \frac{31}{2} - \frac{113}{12} }}[/tex]
Take the L.C.M of 2 and 12 , you will get 12
[tex] \dashrightarrow{ \sf{ \frac{31 \times 6 - 113}{2} }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{186 - 113}{12}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{73}{12} }}[/tex]
Convert the improper fraction into mixed number
[tex] \dashrightarrow{ \sf{6 \frac{1}{12} }}[/tex] inches
Hope I helped!
Best regards! :D
Point B lies between points A and C on Line segment A C . Let x represent the length of segment AB in inches. The length of line A C is 20 inches. The space between points A and B is labeled x. The space between points B and C is labeled 3 x. Use the segment to complete the statements. The value of x is . The length of Line segment A B in inches is . The length of Line segment B C in inches is
Part 1) The value of x is 5
Part 2) The length of line AB is 5 inches
Part 3) The length of BC is 15 inches
Answer:
5
5
15
Step-by-step explanation:
Choose the expression equivalent to 6x+8+2x+15
Answer:
Step-by-step explanation:
8x + 23
The list below shows the number of medals that one nation's team won at the Olympics. What is the ratio of gold medals to the total number of medals that the team won? Gold 34 Silver 30 Bronze 39
Answer:
34:103
Step-by-step explanation:
Add up all the numbers and then put gold then : then the numbers added up
A proportion exists an equation that sets two ratios at the same value.
34 : 103 exists the ratio of gold medals to the total number of medals that the team won 103.
What is the difference between ratio and proportions?When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. A ratio is a comparison between two values. A ratio is created when two ratios are equal.
If a ratio depicts the same relationship, it is proportionate. Two ratios can be written as fractions and then reduced to determine if they are proportionate to one another. You have proportionate ratios if the reduced fractions are equal.
Use ratios to compare two things.
The formula for the ratio of any two quantities is expressed as
a : b ⇒ a/b.
On the other hand, the proportional formula is
a : b :: c : d ⟶ ab = cd
a : b :: c : d ⟶ ab = cd
Types of proportion
Direct proportionReverse proportioncompound proportionContinued proportion34 : 103 exists the ratio of gold medals to the total number of medals that the team won 34 + 30 + 39 = 103
Add up all the numbers and then put gold then : then the numbers added up
To learn more about ratio and proportions, refer to:
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AYUDEEEEEEEEEEEEEENME EESS PARA HOY!!!!
Answer:
(x+3)(x-3) = x²-9
(a+4)(a-4) = a²-16
(2/3x²y+1/4)(2/3x²y-1/4) = ((4x^4)y²)/9-1/16
(2x²+3y³)(2x²-3y³) = 4x^4-9y^6
(b-2)(b-2)(b-2) = b³-6b²+12b-8
Step-by-step explanation:
(x+3)(x-3) = x²-9
(a+4)(a-4) = a²-16
(2/3x²y+1/4)(2/3x²y-1/4) = ((4x^4)y²)/9-1/16
(2x²+3y³)(2x²-3y³) = 4x^4-9y^6
(b-2)(b-2)(b-2) = b³-6b²+12b-8
1. On which road would there be a larger standard deviation in speed: a backroad or an interstate? Justify your answer
Answer:
Your answers may vary slightly. 5.2 Normal Distributions: Finding Probabilities If you are given that a random variable Xhas a normal distribution, nding probabilities corresponds to nding the area between the standard normal curve and the x-axis, using the table of z-scores. The mean (expected value) and standard deviation ˙should be given
Step-by-step explanation:
Suppose y varies directly with x, and y = 6 when x =10. What is the value of x when y = 15?
Answer:
x=19
Step-by-step explanation:
because if you add 6 by 9 and you get 15 and if you plus 9 with 10 uoi get 19
Saira is using the formula for the area of a circle to determine the value of LaTeX: \piπ. She is using the expression LaTeX: Ar^{-2}\:A r − 2where LaTeX: A\:=\:50.265\:A = 50.265and LaTeX: r\:=\:4\:r = 4. Use a calculator to evaluate Saira's expression to find her approximation for the value of LaTeX: \pi\:πto the nearest thousandth.
Given:
Area of a circle, A=50.265 sq. units.
Radius of circle, r = 4 units.
To find:
The value of π to the nearest thousandth.
Solution:
Formula for area of a circle is
[tex]A=\pi r^2[/tex]
[tex]\dfrac{A}{r^2}=\pi [/tex]
[tex]Ar^{-2}=\pi [/tex]
Now, using [tex]Ar^{-2}[/tex] expression, we can find the value of π.
[tex]\pi=50.265904(4)^{-2}[/tex]
[tex]\pi=\dfrac{50.265904}{4^2}[/tex]
[tex]\pi=\dfrac{50.265904}{16}[/tex]
[tex]\pi=3.141619[/tex]
Approximate the value to the nearest thousandth (three digits after decimal).
[tex]\pi\approx 3.142[/tex]
Therefore, the approximated value of π is 3.142.
3(x-1)-2(2x+1)=8(x-1)
Answer:
x = 1/3
Step-by-step explanation:
3(x-1)-2(2x+1)=8(x-1)
Distribute
3x -3 -4x-2 = 8x -8
Combine like terms
-x -5 = 8x -8
Add x to each side
-x-5+x = 8x-8+x
-5 = 9x-8
Add 8 to each side
-5+8 = 9x-8+8
3 = 9x
Divide by 9
3/9 = 9x/8
1/3 =x
3(x-1)-2(2x+1)=8(x-1)
Use distributive property:
3x-3 -4x-2 = 8x-8
Combine like terms:
-x -5 = 8x -8
Add 8 to both sides:
-x +3 = 8x
Add x to both sides:
3 = 9x
Divide both sides by 9:
x = 3/9
x = 1/3
Which number is rational ?
Answer:
d) Root 16 is rational
Step-by-step explanation:
Root 16=4
4 is rational
Therefore root 16 is rational
How do I solve 3.24 x 1.2? I have tried and I always get the same answer! Please help! The answer is supposed to be 3.888 but I have gotten 6.47 each time. I'm good at math but I really need help!
Answer:
3.888
Step-by-step explanation:
3.24 × 1.2
Using Multiplication method multiply through like normal multiplication, don't
put your decimal yet
= 3.24
× 1.20
_______
000
6480
+32400
_______
38880
_________
Counting the number of decimal places to knowing where to properly place your decimal sign
3.24 = 2 decimal place
1.20 = 2 decimal place
Total = 4 decimal places
3.8880
Therefore, 3.24 × 1.20 = 3.8880 or 3.888
Find f(-5) and f(12) for each piecewise function f(x){-4x+3 if x<3
{-x^3 If 3<_x<_8
{3x^2+1 If x>8
The lines go under the inequality lol but please help !
==================================================
Explanation:
The given piecewise function is
[tex]f(x) = \begin{cases}-4x+3 \ \text{ if } \ x < 3\\-x^3 \ \text{ if } \ 3 \le x \le 8\\3x^2+1 \ \text{ if } \ x > 8\end{cases}[/tex]
At first piecewise functions may be strange confusing things, but they aren't so bad. I like to think of it like this: f(x) is a function that changes its identity based on what the input x is. We have three situations
f(x) = -4x+3 when x < 3f(x) = -x^3 when [tex]3 \le x \le 8[/tex]f(x) = 3x^2+1 when x > 8In a sense, we have three different functions but they are combined somehow.
If x is smaller than 3, then we go for the first definition. Or if x is between 3 and 8, then we go for the second definition. Or if x is larger than 8, then we go for the third definition.
-----------------------
f(-5) means f(x) when x = -5. We see that -5 is smaller than 3, so x = -5 makes x < 3 true. We'll use the first definition
f(x) = -4x+3
f(-5) = -4(-5)+3
f(-5) = 20+3
f(-5) = 23
------------------------
Now the input is x = 12. This is larger than 8. In other words, x = 12 makes x > 8 true. We'll use the third definition
f(x) = 3x^2+1
f(12) = 3(12)^2+1
f(12) = 3(144)+1
f(12) = 432+1
f(12) = 433
------------------------
Side notes:
We won't use the second definition since we don't have any x inputs between 3 and 8To say "less than or equal to" on a keyboard, you can write "<=" without quotes. For example, [tex]x \le 5[/tex] is the same as x<=5find x (I really need help)
7x-6=5x+18
Steps to solve:
7x - 6 = 5x + 18
~Add 6 to both sides
7x = 5x + 24
~Subtract 5x to both sides
2x = 24
~Divide 2 to both sides
x = 12
Best of Luck!
is -2 a solution for 7x+3=-17-3x ?
Answer:
yes -2 is the correct answer
Step-by-step explanation:
7x+3=-17-3x
7x+3x=-17-3
10x=-20
x=-20/10
x=-2
Answer:
[tex]\boxed{\bold{\huge{\boxed{\sf Yes.}}}}[/tex]
Step-by-step explanation:
=> [tex]\sf 7x+ 3 = -17-3x[/tex]
Combining like terms
=> [tex]\sf 7x+ 3x = -17-3[/tex]
=> [tex]\sf 10x = -20[/tex]
Dividing both sides by 10
=> [tex]\sf x = -2[/tex]
So, -2 is a solution of the given equation.
if Rx) = 2x - x-6 and g(x) = x - 4, find f(x) = g(x).
Answer:
i have the same question on my worksheet Step-by-step explanation: i need help this is the hardest one
find the area of the shape
Answer:
546
Step-by-step explanation:
Formula: 0.5*[sum of parallel sides] *height
Answer:
636 in.²
Step-by-step explanation:
First divide the shape into three pieces, you will get a triangle and two rectangles, the base of the triangle is 30 in. The height is 8 in. Multiply 30×8 to get 240 and then divide by two to get 120. Next the rectangle on top has sides that are 24 in. and 8 in. You will get 192. Lastly the rectangle on the bottom has sides of 54 in. and 6 in. For this you will get 324. Finally you add up 120+192+324 to get 636 in.²
Point U is on line segment TV. Given UV = 4 and TU = 13, determine
the length TV.
Answer:
17 units
Step-by-step explanation:
negative exponents 3-3 x 3-2
Answer:
3^-5
Step-by-step explanation:
Whenever you multiply exponents, you add the values. Negative two plus negative three results in an answer of negative five. This will be the power. You will end up with 3^-5 as your answer.
Write an equation of the line passing through the point (6,-2) that is parallel to the line y=4x-11
Answer:
y=4x-26
Step-by-step explanation:
First, a parallel equation, ALWAYS has the same slope. Just plug in your x value into 4(x) , then find a number that adds or subtracts to get your y value, and that number you added or subtracted is your y-intercept.
The equation of the line passing through the point (6,-2) that is parallel to the line y=4x-11 is y = 4x - 26
The equation of the linear passes through the point (6, -2) and is parallel to the line y = 4x - 11
Parallel lines have the same slope.
Therefore,
y = 4x - 11
using
y = mx + b
where
m = slope
b= y-intercept
Therefore, the slope of y = 4x - 11 is 4.
And the slope of the other line will be 4 because they are parallel.
Therefore,
y = mx + b
y = 4x + b
it passes through (6, -2)
-2 = 6(4) + b
-2 - 24 = b
b = -26
The equation will be y = 4x - 26
learn more on linear equation here: https://brainly.com/question/19954463
the solution to 5/2 x-7 =3/4 x +14
Answer:
x = 12.
Step-by-step explanation:
5/2x - 7 = 3/4x + 14.
put the like terms together keeping in mind that when a number crosses the equal sign it changes its sign and it acquires the opposite sign.
5/2x - 3/4x = 14 + 7
7/4x = 21.
divide both sides by the reciprocal of 7/4, the number next to the unknown
so x = 21 ×4/7
x = 12.
Hey guys i was wondering if i could get some help
==================================================
Explanation:
The given piecewise function basically means we have h(x) defined in two different ways based on what x is
If x is less than 2, then h(x) = 4 - x^3 which is what the first row says
Or
If x = 2 or larger, then h(x) = 2x-3 which is what the second row says.
---------
We want to find h(0). We want to find h(x) when x = 0. We'll use the first definition since x = 0 is less than 2.
h(x) = 4 - x^3
h(0) = 4 - (0)^3
h(0) = 4 - 0
h(0) = 4
How do you convert a fraction to a decimal?
Answer:
To convert fractions to decimals you just divide the top by the bottom — divide the numerator by the denominator — and if the division doesn’t come out evenly, you can stop after a certain number of decimal places and round off. To convert fractions to decimals: If the fraction is a mixed number, change it to an improper fraction.
2x - 3 = 1 and -3x + 6 = 12
Answer:
I am confused by the question no CAPPPPPP
Step-by-step explanation:
The perimeter of a rectangle is P = 2w + 2L, where w is the width of the rectangle and L is the length of the rectangle. Rearrange this formula to find the width of the rectangle
Answer:
P-2L/2= w
P subtract 2L divided by 2 will give u the width
Step-by-step explanation:
Answer:
p
Step-by-step explanation:
p=2w+2l
p -2w=2l
2l=p -2w
divide both sides by 2
l=1/2p-w