Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:

ax – c = bx + d
ax – bx = d + c
x (a – b) = d + c
x = x equals StartFraction d plus c Over a minus b EndFraction.
How can Victoria justify Step 3 of her work?

Answers

Answer 1

Answer:

A: Rewrite the expression on the left using the distributive property.


Related Questions

Juanita is making 30 sundaes with mint, chocolate, and vanilla ice cream. 1\3 of the sundaes are mint ice cream and 1\2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

Answers

Answer:

10

Step-by-step explanation:

→ Calculate how many are mint ice cream's

[tex]\frac{1}{3}[/tex] × [tex]30[/tex] = 10

→ Calculate how many are chocolate

30 - 10 = 20

[tex]\frac{1}{2}[/tex] × 20 = 10

→ Now find the vanilla

30 - ( 10 + 10 ) = 10

PLS HELP ASAP!!!!!!!!!!!!!!!!

Answers

The answer is 12/100 or 12% probability.

The total group is 100 people, with only 12 being moderate that are high school only.

what is
f(x)= (x-12)(x+1)
in standard form?

Answers

Answer:

x^2-11x-12

Step-by-step explanation:

I use the box method, which makes a 2x2 box. Then you arrange you numbers based on the equation (show in image)

Then you multiply it out and get the equation

F(x)= x^2+x-12x-12

Simplify your equation and you get

F(x)= x^2-11x-12

Evaluate the function for x = 3a.
f(x) = 2x^2 – 3x +4
A. 9а
B. 6a^2- 9a + 4
C. 18a^2 - 9a +4
D. 12a^2 - 6a+4

Answers

Answer:

C

Step-by-step explanation:

We are given the function:

[tex]f(x) = 2x^2 -3x+4[/tex]

And we want to evaluate it for x = 3a.

Substitute:

[tex]f(3a) = 2(3a)^2-3(3a)+4[/tex]

Square:

[tex]f(3a) = 2(9a^2)-3(3a)+4[/tex]

Simplify:

[tex]f(3a) = 18a^2-9a+4[/tex]

Hence, our answer is C.

Choose the correct equation to use for the following story problem: A bakery has two pastry ovens. When both ovens are used, it takes about 3 hours to bake the bread needed for one day. When only the large oven is used, it takes about 4 hours to bake the bread for one day. Approximately how long would it take to bake the bread for one day if only the small oven was used

Answers

Answer:

3 hour in my calculation

Answer:

3 hours. ......i think. ..........

Anyone Know The Answer???

Answers

Answer:

I think it is 2, downwards

Answer:

vertical shift of 2 units up

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

f(x) = 9 | x + 1 | + 2

Represents a vertical shift of 2 units up of the parent function

The ratio of carbon-14 to carbon-12 in a piece of wood discovered in a cave is R = 1/917. Estimate the age of the piece of wood

Answers

Answer:

The answer is "[tex]\bold{6.6 \times 10^{12}\ years}[/tex]"

Step-by-step explanation:

Let the given value is:

[tex]R=\frac{1}{9^{17}}\\\\\to \frac{N_{c_{14}}}{N_{c_{12}}}=\frac{1}{9^{17}}\\\\\to t=\frac{2.303 \times 9^{17}}{5717}=6.6\times 10^{12}\ years[/tex]

can anyone give me the inverse function of this with an explanation? BRAINLIESt?
fx=2-x^3

Answers

Answer:

Inverse of f(x) is ³2-x

Step-by-step explanation:

let the inverse of f(x) be m :

[tex]{ \tt{2 - {x}^{3} = m}} \\ [/tex]

make x the subject:

[tex]{ \tt{ {x}^{3} = 2 - m}} \\ { \tt{x = \sqrt[3]{2 - m} }}[/tex]

substitute x for m:

[tex]{ \bf{f {}^{ - 1}(x) = \sqrt[3]{2 - x} }}[/tex]

Answer:

[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]

Step-by-step explanation:

One is asked to find the inverse of the following function:

[tex]f(x)=2-x^3[/tex]

Keep in mind, finding the inverse of a function is the same as finding the function's opposite. Any easy trick to do so is to take the function and solve it for (x) in terms of (f(x)). This can be done using inverse operations and simplification. Once one has solved this function for (x), then one will put it in inverse function notation. Apply this idea to the given function,

[tex]f(x)=2-x^3[/tex]

[tex]f(x)-2=-x^3[/tex]

[tex]2-f(x)=x^3[/tex]

[tex]\sqrt[3]{2-f(x)}=x[/tex]

Put in inverse function notation,

[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]

geometry: follow directions below for each for each figure. show steps. circle answers. find the area of each figure!!

HELP ASAP!!!
THANK YOU SO MUCH:)))

Answers

Answer:

56 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 1/2 (14) (8)

A = 56 cm^2

if measure of three angles of a quadrilateral are 65 degree 95 degree and 45 degree then find the measure of the fourth​ angle?

Answers

Answer:

155 degrees

Step-by-step explanation:

Hi there!

The sum of the interior angles of a quadrilateral is always 360 degrees. To find the measure of the fourth angle, subtract 65, 95 and 45 from 360:

360-65-95-45

= 155

Therefore, the measure of the fourth angle is 155 degrees.

I hope this helps!

Answer:

155 degrees

Step-by-step explanation:

A quadrilateral has a total internal angle sum of 360 so we can set up an equation where x is the fourth angle

360=65+95+45+x

360=205+x

x=155

Courtney needs to wrap this gift box, which is 412 inches wide, 6 inches long, and 3 inches tall. What is the surface area of the box?

Answers

There is the answer. To get surface area you have to get all the surfaces first

on the number line, which of the following numbers below can be found on the right of 2.26??
A.2.30
B.-2.25
C.2.25
D.1.26​

Answers

Answer:

2.25

Step-by-step explanation:

The lower number will always be on the right side unless its negative numbers , So the lower number is 2.25 , Why it isn't 1.26 is because its much far from 2.26 and so cannot be counted . Thanks

Look at this cube
If the side lengths are halved, then which of the following statements about its surface area will be true?

Answers

Answer:

the new surface Will be 1/4 pf the old surface

Step-by-step explanation:

because the surface with 7 in Is about 294 and with 3.5 (1/2 of 7) Is 73.5.

so 294:4 Is 73.5

excuse me for my bad English but I'm italian

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The _____________ may be the average of 2 values in a data set.
A. range
B. interquartile range
C. mode
D. median

Answers

Answer:

as per my nowledge ans wud be b

as A means difference of highest and lowest

C means value appearing frequently

D means middle number or ascending or descending sequence

beainliest plz

Answer:

b

i dont want brainlist

Step-by-step explanation:

2-6=? need help please

Answers

the answer is -4 hope that helps :)
Answer:

The answer is -4

Step-by-step explanation:

2 - 6 = -4

will mark brainliest help!

In parallelogram ABCD, m∠B = 105°.

What is the value of x. (Round your answer to the nearest tenth, if necessary.)

Answers

Answer:

52.5

Step-by-step explanation:

Since ED ≈ AD, ∆AED is a isosceles triangle where <EAD and <AED has same angle measurement

Now, m<B = 105°, since ABCD is a parallelogram, <B = <D

so, m<ADC = 105° so, m<ADE = 180°-105° = 75°

Now, m<EAD+m<AED+m<ADE = 180°

or, m<AED+m<AED+m<ADE = 180°

or, x+x+75°=180°

or, 2x=180+75°

or, 2x=105°

or, x=52.5°

Someone please help me find y if you don’t mind Thankyouu so much

Answers

Answer:

Step-by-step explanation:

Decreasing rate = 12% = 0.12

y = 2400 * (1- 0.12)^x = 2400*(0.88)^x

x = 8 years

[tex]y = 2400 *(0.88)^{8}\\\\= 2400*0.36\\\\= 863[/tex]

Do you think mathematics is used when collecting and reporting your data ? Give your reasons.

Answers

yes because everyone needs mathematics

mathematics are everywhere even if u said u dont like math u still cant get away with math

please help me! asap!

Answers

Answer:

First option

Remove 2 tiles

What are the amplitude, period, phase shift, and midline of f(x) = 7 cos(2x + π) − 3? (6 points) Amplitude = −3; period: π; phase shift: x = negative pi over 2 ; midline: y = 3 Amplitude: 7; period: π; phase shift: x = negative pi over 2 ; midline: y = −3 Amplitude: 7; period: 2π; phase shift: x = pi over 2 ; midline: y = 3 Amplitude: −3; period: 2π; phase shift: x = pi over 2 ; midline: y = −3

Answers

Answer:

So the amplitude is 7

The period is pi

The phase shift is negative pi/2

The midline is -3

Step-by-step explanation:

A trigonometric function is the same as

[tex]f(x) = a \cos(b(x + c)) - d[/tex]

Where a is the amplitude, 2 pi/ absolute value of b is the period, c is the phase shift, and d is the vertical shift or midline.

Given the function

[tex]7 \cos(2x + \pi) - 3[/tex]

The amplitude is 7, and the midline is -3. The period is

[tex] \frac{2\pi}{2} = \pi[/tex]

The phase shift is

[tex]2x + \pi = 0[/tex]

[tex]2x = - \pi[/tex]

[tex]x = - \frac{\pi}{2} [/tex]

So the amplitude is 7

The period is pi

The phase shift is negative pi/2

The midline is -3.

Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had never been married. Suppose that we select random samples from this population of American adults ages 25 and older. For each sample we then calculate the proportion that had never been married.

For which of the following sample sizes will the sampling distribution be approximately normal?

Wang, W., and Parker, K. (2014). Record Share of Americans Have Never Been Married. Pew Research Center. http://www.pewsocialtrends.org/2014/09/24/record-share-of-americans-have-never-married/

A) 25
B) 50
C) 75

Answers

Answer:

B. 50

Step-by-step explanation:

Central limit theorem is used to calculate the sampling distribution of the given case. The number of adults who are 25 years of age or above and not married is 20% of the samples selected. The standard deviation is 0.06 while the sample size should be 50 to conclude the results.

Jayden travels 13/18 feet in 9/26 seconds. Find the speed of Jayden in feet per second.

Answers

Answer:

Speed = 2 7/81 feet per second

Step-by-step explanation:

Distance travelled = 13/18 feet

Time taken = 9/26 seconds

Find the speed of Jayden in feet per second.

Speed = Distance travelled / Time taken

= 13/18 ÷ 9/26

= 13/18 × 26/9

= (13 * 26) / (18 * 9)

= 338 / 162

= 2 14/162

= 2 7/81 feet per second

Speed = 2 7/81 feet per second

Jayden speed is 2 7/81 feet per second

An item is regularly priced at $95. It is on sale for 85% off the regular price.

Answers

Answer:

14.25

Step-by-step explanation:

95*0.85=80.75

95-80.75=14.25

Answer:

The sale took $14.25 off the original price, so the item is currently $80.75 with the sale.

Find the cross product (7,9, 6)x 44, 1, 5). Is the resulting vector perpendicular to the given vectors?
a. (-57, 43, 33); yes
c. (33. – 59, - 57); no
b. (39, – 59,43), yes
d. (33, - 57, 49); no

Answers

Answer:

Option B, (39, -59, 43)

Answered by GAUTHMATH

HELPPPPPPPP!!!!!!!!!!!!!!!!!

Answers

1)3
2)5/4
3)1
4)3/2
5)1.3
6)4
7)0
8)1
9)7
10)2

find the lenght of the missing side:

Answers

Answer:

x=15.73292

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 70 = x / 46

46 cos 70 =x

x=15.73292

Answer:

15.73

Step-by-step explanation:

cos(x) = adjacent leg / hypotenuse

cos(70) = x / 46

0.342 = x / 46

0.342 x 46 = x

x = 15.73

name the property that the following statement illustrates 84+8=8+84

Answers

Answer:

the commutative property of addition :)

helpppp: write the rule that describes the composition of transformations

Answers

omg i need help on tht too

Which graph represents the function? f(x)=5√x

Answers

Step-by-step explanation:

Since the x is inside of the square root, the x value must be positive. This makes x {0,infinity). Yet, when square rooting x, you should have both a negative and a positive value for y. So, this should be your graph.

0.4 x 10 =....
1.25 x 10 =
97.465 x10 =​

Answers

Answer:

0.4 × 10 = 4

1.25 × 10 = 12.5

97.465 × 10 = 974.65

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