In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
ax + b = c

Answers

Answer 1

Answer:

x = (b-c)/a

Step-by-step explanation:

ax + b = c

Subtract b from each side

ax+b-b = c-b

ax = b-c

Divide by a

ax/a = (b-c)/a

x = (b-c)/a

Answer 2

Answer:

x= (C-B)A

Step-by-step explanation:


Related Questions

Which of the following is a point-slope equation of a line that passes through
the points (-1,4) and (8, -2)?
O A. y-1--3(x-1)
O B. y 4 = {(x+1)
O C. y-4--(x+1)
O D. y-4--2(x+1)

Answers

Answer:

y - 4 = -2/3 (x + 1)

Step-by-step explanation:

y2 - y1 / x2 - x1         -2 - 4 / 8 - (-1)      -6/9     = -2/3

y - 4 = -2/3 (x + 1)

Given:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5

Find:(f + g)(x)

Answers

Answer:

2x^2-3

Step-by-step explanation:

f(x) = -4x + 2

g(x) = 2x^2 + 4x - 5

(f+g)(x) = -4x + 2+ 2x^2 + 4x - 5

Combine like terms

       = 2x^2-4x+4x+2-5

      =2x^2-3

Answer:

2x ^ 2 - 3

Step-by-step explanation:

f(x) = -4x + 2

g(x) = 2x ^ 2 + 4x - 5

(f + g)(x) = -4x + 2 + 2x ^ 2 + 4x - 5

= 2x ^ 2 - 4x + 4x + 2 - 5

= 2x ^ 2 - 3

Need help asap, thanks :)

Answers

Answer:

937

425

Step-by-step explanation:

9 is the square of 3

7 is 1 more than 6, the double of 3

4 is the square of 2

5 is 1 more than 4, 2x 2

Is there more?

Answer:

425

Step-by-step explanation:

1st = 2^2

3rd = 2*2 + 1

Please solve this question

Answers

Answer:

Step-by-step explanation:

Answered by Gauthmath

Step-by-step explanation:

Is great than eit6of the measure of the interior angles

<3 and <6 can be classified as:
a. alternate exterior angles
b. same side interior angles
c. corresponding angles
d. alternate interior angles

Answers

Answer: d. alternate interior angles

Note how the two angles are inside, or interior, of the lines L1 and L2. For me, I tend to think of such lines like train tracks. So that takes care of the "interior" portion.

As for the "alternate" portion, we can see that the angles are on either side of the transversal line T.

So that's why angles 3 and 6 are alternate interior angles.

If L1 and L2 are parallel, then angle 3 = angle 6.

find the missing side lengths answers are in simplest radical form with the denominator rationalized​

Answers

Answer: Choice C

Explanation:

For any 30-60-90 triangle, the short leg is half of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.

So this means n = 10/2 = 5

Because n = 5, there's only one answer choice that fits and it's choice C.

I need help please!!!!

Answers

a. 122.5 g

M(t) = 300(1/2)^(31/24) = 122.5

One side length of a rectangle is 1/3 of a foot. The second length is 1 2/3 times the length of the first. Find the area of the rectangle.

Answers

Answer:

5/27 ft²

Step-by-step explanation:

a = 1/3

b = 1/3 × 5/3 = 5/9, as 1 2/3 = 5/3

the area of the rectangle is a×b

Ar = 1/3 × 5/9 = 5/27 ft²

find the value of the trigonometric ratio​

Answers

The answer is 12/5 or 2.4

tan c =opposite÷ adjacent

tan c =36÷15

tan c = 12÷5

Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths of the sides.

Answers

Answer:

(I'll leave cm out to save space and time in the answer)

the perimeter is 500, there are 5 sides. so on average a side will be 100.

that's already the important key idea.

it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).

repeat this for the 1. and 5. side and we get:

80

90

100

110

120

square root by prime factorisation method of 324​

Answers

Step-by-step explanation:

find the square root

√324

=18

Solve for . Round to the nearest tenth of a degree, if necessary.
3.9
2.2
Answer: 2 =
Submit Answer
attempt 1 out of 2
PLSSS HELp

Answers

Answer:

x = 60.6

Step-by-step explanation:

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

tan theta = opp /adj

tan x = 3.9/ 2.2

Taking the inverse tan of each side

tan ^-1 (tan x )=  tan ^-1(3.9/ 2.2)

x=60.57254

To the nearest tenth

x = 60.6

HELP ME PLS ITS PYTHAGOREAN THEOREM

Answers

Answer:

a= [tex]\sqrt{19}[/tex]

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2

a^2+9^2=10^2

a^2+81=100

a^2=19

a=[tex]\sqrt{19}[/tex]

Answer:

b = 4.4 meters

URGENT+Brainliest. Convert r=2sin(2theta) into rectangular cords.

Answers

Answer:

try 14n

Step-by-step explanation:

Answer:

[tex]r \: = 2sin2 \theta \\ = > r = 2.2sin\theta.cos\theta \\ = > r = 4sin\theta.cos\theta \: \\ \\ \sf \: we \: know \: that \: \\ x = r \: cos\theta \: \therefore \: cos\theta = \frac{x}{r} \\ \\ y = r \: sin\theta \: \therefore \: sin\theta = \frac{y}{r} \\ \\ \sf \: now \\ \\ r = 4 \times \frac{y}{r} \times \frac{x}{r} \\ = > {r}^{3 } = 4xy \\ \\ \sf \: again \: \: r = \sqrt{ {x}^{2} + {y}^{2} } \\ \\ = > {( \sqrt{ {x}^{2} + {y}^{2} } })^{3} = 4xy \\ = > {( {x}^{2} + {y}^{2} })^{ \frac{3}{2} } = 4xy \\ = > {( {x}^{2} + {y}^{2} })^{3} = 16 {x}^{2} {y}^{2} [/tex]

Please mark me as Brainliest

A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
nearest cubic inch.

Answers

Answer:

V = 267.9 in^3

Step-by-step explanation:

V = 4/3 * (pi) * r^3

V = 4/3 * 3.14 * 4^3

V = 4/3 * 3.14 * 64

V = 256/3 * 3.14

V = 803.84/3

(x+5). (x-4)-(x+2)^2+(2x+3)^2=(2x-1) (4x^2+2x-1)+18x(2x+3)​

Answers

Answer:

x ≈ -0.73151

Step-by-step explanation:

if the probability of winning the netball game is 0.7, what is the probability of not winning the game?

Answers

Explanation:
Just like any simple addition 93 + 7 Is 100 right? so Imagine 99.3 + 0.7 = 100%

Answer:
99.3

Helpppp and explain pls and ty

Answers

Step-by-step explanation:

2 gallons are needed for 10 galloms of lemonade

3. In a primary election, 35% of voters voted for Goron, 15% voted for Smith, 40% voted for Fishman, and 10% voted for other candidates. (a) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work. (b) Forty people voted for "Other." Was the estimate of total voters from Part (a) accurate? Explain.

Answers

Answer:

98 ppl voted for Gordan

Step-by-step explanation:

a) 35% of 280=98

b)  15% of 280=42

   40% of 280=112

    10% of 280=28

Add 98, 42, 112, and 28 and you get 280! Hope this helps :)

solve for w: 7w < -56

Answers

Lets solve

[tex]\\ \sf\longmapsto 7w<-56[/tex]

Take 7 to right side

[tex]\\ \sf\longmapsto w<dfrac{-56}{7}[/tex]

Simplify

[tex]\\ \sf\longmapsto w<-8[/tex]

Answer:

[tex]\boxed {\boxed {\sf w < -8}}[/tex]

Step-by-step explanation:

We are given an inequality and asked to solve for the variable w.

[tex]7w < -56[/tex]

In order to solve for w, we must isolate the variable. It is being multiplied by 7. The inverse of multiplication is division, so we divide both sides of the inequality by 7.

[tex]\frac {7w}{7} < \frac {-56}{7}[/tex]

[tex]w < \frac{-56}{7}[/tex]

[tex]w < -8[/tex]

w is less than -8 or w < -8.

The dot plot below represents this set of data:
30, 29, 30, 28, 28, 27, 22, 28, 28, 22, 27, 26, 25, 27

Answers

Answer:

True

Step-by-step explanation:

All of them match up

(4x-5y) is subtracted from (-10x-y)

Answers

Answer:

-14x+4y

this is the correct answer.

Thirty- five out of sixty students preferred to eat their lunch at school rather going home in lunch break. Express the numbers in decimal.

Answers

Answer:

0.583

Step-by-step explanation:

Use a caluclator

Rita offers to pay for 8 of her friends to play laser tag, but 3
of them don't want to play.
If laser tag costs $5 per person, how much will Rita spend on her friends?
Choose the correct expression and solution to this problem,

Answers

Last Option

Rita will spend $25

5(8-3)

Answered by Gauthmath must click thanks and mark brainliest

Answer:  The correct answer is D.

Step-by-step explanation:

Since 3 of Rita's 8 friends don't want to play laser tag, Rita only has to pay for 5 of her friends to go.

So, the expression would be:

5 (8 - 3)

= 5 (5)

= $25

Hope this helps! :)

Hope made 3 different yo-yo's. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string

Answers

Answer:

See explanation

Step-by-step explanation:

Your question is different from the attachment

Statement 1

1 adult + 5 Children

$4 for adult and total of $16 for both adult and children

Let

Cost of children skating = x

The equation is

4 + 5x = 16

Statement 2:

Cost of making a bike bag= $4

Selling price of the bike bag = $5

Profit = $16

Let x = number of bike bag

Profit = selling price - cost price

16 = 5x - 4x

16 = x(5 - 4)

Also written as

(5 - 4)x = 16

Statement 3:

Initial temperature = 16°C

Change in temperature per hour = 4°C

Final temperature = 5°C

Let

x = number of hours it changes

16 - 4x = 5

Hope made 3 different yo-yos. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string for the second yo-yo, and a total of meters of string 4 1/3

length of first yo-yo = 1 3/4

length of second yo-yo = 1

Length of third yo-yo = x

Total = 4 1/3

Total length = length of first yo-yo + length of second yo-yo + length of third yo-yo

4 1/3 = 1 3/4 + 1 + x

4 1/3 = 2 3/4 + x

4 1/3 - 2 3/4 = x

13/3 - 11/4 = x

(52-33) / 12 = x

19/12 = x

x = 1 7/12

Which form of payment can you lose and NOT get your money back?

Answers

Answer: Tax?

(I'm just here bc I need 20 words to soobmit)

Answer:

its cash

Step-by-step explanation:

The sampling distribution of a statistic _________. Group of answer choices gives all the values a statistic can take gives the probability of getting each value of a statistic under the assumption it had resulted due to chance alone is a probability distribution all of the options

Answers

Answer:

all of the options

Step-by-step explanation:

A sampling distribution is a probability distribution, gives the probability of getting each value and all values a statics can take. It is arrived out through a repeated sampling form of a large population. It truly exists as a population.

The bill before tax at a restaurant is $32, and the sales tax is 10%. You decide to leave a 15% tip based on the pre-tax amount. What will be the amount of the total bill, including tax and tip?

Answers

Bill before tax = $32

Tax = 10/100×32

= $3.2

Tip = 15/100×32

= $4.8

Total cost = 32 + 3.2 + 4.8

= $40

Answered by Gauthmath must click thanks and mark brainliest

A fair spinner has 12 equal sections: 5 red 4 blue and 3 green. its Spun twice what is the probability of getting the same colour twice?​

Answers

Answer:

25/72

Step-by-step explanation:

P( blue) = blue / total = 4/12 = 1/3

P ( blue, blue) = 1/3 * 1/3 = 1/9

P ( red) = red / total = 5/12

P ( red, red) = 5/12 * 5/12 = 25/144

P ( green) = green /total = 3/12 =1/4

P ( green , green) = 1/4 * 1/4 = 1/16

Add these together to get

P( same colour twice) = 1/9+ 25/144 + 1/16

                                      =16/144 + 25/144 + 9/144

                                      =50/144

                                     =25/72

In Natalie's class, 18 children listed math as their favorite subject while 15 said English was their favorite
subject. Eleven children liked both subjects equally well and 3 children didn't like either math or English. How
many children are in the class?

Answers

25 is your answer if i am sure, the question was confusing tho.

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