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

Answer:

The value of x = 6

Step-by-step explanation:

Given:

√x + 3 = x - 3

Find:

The value of x

Computation:

Given expression

√x + 3 = x - 3

Squaring both side

(√x + 3)² = (x - 3)²

x + 3 = x² + 3² - (2)(x)(3)

x + 3 = x² + 9 - 6x

x² + 9 - 6x - x - 3 = 0

x² + 7 - 5x = 0

x² - (6 + 1)x + 6 = 0

x² - 6x - x + 6 = 0

x(x - 6) -1(x - 6) = 0

(x - 6)(x - 1) = 0

x = 6 and x = 1

The value of x = 6

Answer:

69

Step-by-step explanation:

1234567890

Answer

a^1=-2,5

a^n=a×a^n-1

Answer:

-10

Step-by-step explanation:

Inverse equation: x= -13y +52

simplify: y=-1/-13x + 4

Plug in for x: y= 1/-13 (182) +4

=   -10

Answer:

y = -10

Step-by-step explanation:

x = -13 y + 52

y = (x - 52)/-13

~~~~~~~~~~~~~~~~~~

y = (182 - 52)/-13

y = -10

Answer:

2.92

Step-by-step explanation:

bvscscscscsccscd

Answer:

2.92

Is what I rounded

and hope it helps

Answer:

[tex]\huge\boxed{\boxed{s=P-t-r}}[/tex]

Step-by-step explanation:

[tex]P=s+t+r\qquad|\text{subtract}\ t\ \text{and}\ r\ \text{from both sides}\\\\P-t-r=s+t+r-t-r\\\\P-t-r=s\Rightarrow\boxed{s=P-t-r}[/tex]

Answer:

151,031

Step-by-step explanation:

If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:

[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.

Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:

[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]

Therefore, in 5 years, the population should be 151,031.

Answer:

[tex](8x - 14) + (2x + 54) = 180 \\ 8x + 2x - 14 + 54 = 180 \\ 10x - 14 + 54 = 180 \\ 10x + 40 = 180 \\ 10x = 180 - 40 \\ 10x = 140 \\ x = \frac{140}{10} \\ x = 14[/tex]

Answer:

x= -1, y = -1

Step-by-step explanation:

-16x +24y = -8

16x -8y = -8

16y = -16

y=-1

16x = -16

x = -1

Answer:

x = - 0.25 = - 1 / 4

y = 0.5 = 1 / 2

Step-by-step explanation:

4x + 6y = 2

Divide 2 on both sides,

2x + 3y = 1 ----> eq. 1

16x - 8y = - 8

Divide - 8 on both sides,

- 2x + y = 1 ----> eq. 2

Add eq. 1 and 2,

2x + 3y = 1

- 2x + y = 1

_________

0 + 4y = 2

4y = 2

y = 2 / 4

y = 1 / 2

y = 0.5

Substitute y = 0.5 in eq. 2,

- 2x + y = 1

- 2x + 0.5 = 1

- 2x = 1 - 0.5

- 2x = 0.5

x = 0.5 / - 2

x = - 0.25

Answer: 4 8×8= 64 half the base which is 8 =4

Step-by-step explanation:

Answer:

height = 8 m

base = 16 m

Step-by-step explanation:

Let base = 2x m

So, height = half its base = [tex]\frac{2x}{2} = x \ m[/tex]

Area = 64 m²

[tex]\frac{1}{2}* \ base* \ height = 64\\\\\\\frac{1}{2}* 2x * x = 64[/tex]

 x * x = 64

x * x = 8 * 8

x = 8 m

Base = 2x = 2*8 = 16 m

Answer:

I D K u tell me

Step-by-step explanation:

this is what u answersed another he/she question repeating u

Answer:

SHEEESSHHHHHHHHHH

Step-by-step explanation: life goes around and around

Answer:

$32.80

Step-by-step explanation:

So you are trying to find out how much does the sale price cost?

Ok convert $41 into a decimal

$41 = $0.41

Then multiply 80% x $0.41

80 x $0.41 = 32.80

Answer:

$32.8

Step-by-step explanation:

Solve using a proportion

if 100%= $41 and 80% = x, then you cross multiply, and you get 100x = 41 (80), which would become 100x = 3280. Then you divide by 100 on both sides to get 32.8, which would be your answer!

Answer:

FOIL:  [tex]9x^2 +30xy + 25y^2[/tex]

(3x + 5y)(3x+5y)

F: 3x*3x

O: 3x*5y

I: 5y*3x

L: 5y*5y

[tex]9x^2 +30xy + 25y^2[/tex]

Step-by-step explanation:

Answer:

833.3 ft^3

Step-by-step explanation:

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

((12.5)(12.5)(16))/3

((156.25)(16))/3

2500/3

833.3 ft^3

Hope this helps (●'◡'●)

The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

we know that,

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

=((12.5)(12.5)(16))/3

=((156.25)(16))/3

=2500/3

=833.3 ft^3

Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

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Answer:

" because the coefficient of the x^2 term is less than 1 (between -1 and + 1)  

y = x^2 looks like a big U with the vertex (bottom) "kissing" the origin (0,0)

if you add 1 to the equation y = x^2 + 1 it shifts UP one  

if you subtract 3 y = x^2 -3 it shifts down three ....

if you change it to look like this y = (x+4)^2 it shifts (slides) to the LEFT 4 units..

note that this slide is opposite to the sign + 4 left slide , - 4 right slide...

NOW YOUR QUESTION !!!! if the coefficient is > 1  

y = 99 x^2 then the graph gets "skinny" goes up faster...

if it is less than one (between -1 past 0 to +1 ) then it flattens out

Bottom line here your coefficient is a "-1/2"  

so YOUR GRAPH IS A ∩ (goes downward) and is FLATTER than the normal ∪

I hope that this helps

Step-by-step explanation:

Answer:

The second decrease is larger at 16 1/6% decrease

Step-by-step explanation:

175 to 150

Take the original price minus the new price divided by the original price

(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease

150 to 125

Take the original price minus the new price divided by the original price

( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease

The second decrease is larger at 16 1/6% decrease

Answer:

9/25

Step-by-step explanation:

Number of student who has cat , dog = 25 - 3 = 22

Number of students who has cat and dogs = (15 + 16) - 22

                                                                       = 31 - 22 = 9

Number of students who has only cats = 15 - 9 = 6

Number of students who has only dogs = 16 - 9 = 7

P(Cat & dog) = 9/25

Answer: some parts of your question is missing below is the missing data

Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y

answer:

F is conservative

F = -6xe^y + ( 33 + 9 ) e^y + C

Step-by-step explanation:

The Potential functions for F so that F = ∇f.

F = -6xe^y + ( 33 + 9 ) e^y + C

attached below is a detailed solution

Answer:

(-1,3) and (2,6)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

The graphs intersect at x=-1 and y =3  and x = 2 y=6

(-1,3) and (2,6)

Answer:

$960

Step-by-step explanation:

Let the original amount be = x

Percentage increase is equal to = 12.5%

final amount = original amount + increase

final amount = x + 0.125x

final amount = 1.125x

final amount = 1080 = 1.125x

and then solve for x

[tex]x = \frac{1080}{1.125} \\ \\ x = 960[/tex]

so in the end x is equal to $960

Solve the equation: 1080 = 1.25x

Answer:

what is question of this you asked

Answer:

17310.6

$540.15 multiply 30

because if they ask all in every month is 540.15

and she got 30 year

Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.

To determine the total interest Susie will pay over the 30 years of mortgage payments, we need to subtract the principal amount (the original loan amount) from the total amount she will pay over the 30 years.

First, let's calculate the total amount she will pay over the 30 years by multiplying her monthly payment by the number of months in 30 years:

Total amount paid = Monthly payment x Number of months

= $540.15 x (30 years x 12 months/year)

= $540.15 x 360

= $194,454

Next, we subtract the principal amount from the total amount paid to find the total interest paid:

Total interest paid = Total amount paid - Principal amount

= $194,454 - $150,000

= $44,454

Therefore, Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.

Learn more about interest at https://brainly.com/question/25793394

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Step-by-step explanation:

the answer is in the image above

Answer:

The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD)   because the measure of an intercepted arc is equal to the measure of its corresponding central angle.

Explanation:

sample answer from edmentum