Sat prep find the value of x in each of the following exercises

Answer:

B

Step-by-step explanation:

f(x) = x²+49 , rewrite the equation

x² +7² =0 , to find the roots make f(x) =0 and subtract 7² from both sides

x² = -7², square root both sides

√x² =√-7², consider √-1 =i

x= ±7i

the roots are -7i and 7i

Answer:

B

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

x² + 49 = 0 ( subtract 49 from both sides )

x² = - 49 ( take the square root of both sides )

x = ± [tex]\sqrt{-49}[/tex] = ± 7i

Solutions are x = - 7i, x = 7i

Answer:

there no choice but what i can do for you is [tex]\sqrt{32} =4\sqrt{2}[/tex] & [tex]\sqrt{8} =2^3[/tex]

The equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.

The square root of any number is equal to a number, which when squared gives the original number.

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.

According to the given question.

We have a fraction [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex]

Therefore, the equivalent fraction for [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is given by

[tex]\frac{\sqrt{32} }{\sqrt{8} } =\frac{\sqrt{4} \sqrt{8} }{\sqrt{8} }[/tex]

⇒[tex]\frac{\sqrt{32} }{\sqrt{8} } =\sqrt{4} =\frac{2}{1}[/tex]

Hence, the equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.

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Answer:

23°

Step-by-step explanation:

13x + 154 = 180

13x = 26

x =2

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

6(2) + 11

12+11 =23

Answer:

[tex]A = Pe ^{-0.03108 * t}[/tex]

Step-by-step explanation:

Note: these are typically two part questions...

you have the model and have to FIRST find a constant value "k"

once you have the "k" value you plug that into the model to finish the problem

[tex]A = Pe ^{-kt}[/tex] is a typical version of the continuous decay...

e is "e 2.717" not a variable "e"

so... step 1.. fink k

you are told that the 1/2 life is 22.3 years...

so lets assume that we started with 2 units of lead, and waited for it to decrease to 1 (1 is 1/2 of 2)

you would have

1 = 2[tex]e^{k * 22.3}[/tex]

.5 = [tex]e^{k * 22.3}[/tex]

ln(.5) = 22.3k ln(e)

ln(e) = 1

ln(.5) = 22.3k

ln(.5) = 22.3k ln(e)

[tex]\frac{ln(.5) }{22.3} = k[/tex]

[tex]\frac{\ln \left(0.5\right)}{22.3}=-0.03108[/tex] = k

x+2y=4 ] × (-2) —> -2x-4y=-8

2x-3y=1

-2x-4y=-8

_________o_o___

–7y=–7 —> y =1

2x-3y=1 —> 2x -3(1)=1 —> 2x-3=1 —> 2x=1+3 —> 2x=4

x=4/2 —> x=2

(x,y) —> ( 2,1)

Answer:

your correct

Step-by-step explanation:

Answer:

I think the one you have answered is correct.

Answer:

mark brainlist..............

Answer:

sorry i don,t know but i am finding

if i get then i hep you

Step-by-step explanation:

thanks and have nice day

Answer:

Step-by-step explanation:

thats your problem learn how to pay attention lol

The answer is 59049.

Kuaaahahahahahahahah!

Answer:

Step-by-step explanation:

Rectangle:

Length : Width = 3 : 5

Length = 3x

Width = 5x

Perimeter = 64

2*(length + width) = 64

2*(3x + 5x) = 64           {Add like terms}

2 * 8x = 64                                

  16x = 64        {Divide both sides by 16}

      x = 64/16

      x = 4

Length = 3*4 = 12 units

Width = 5*4 = 20 units

Answer:

Step-by-step explanation:

solution;

here

let us suppose the ratios of length and width of rectangle be 3x and 5x

if the perimeter of rectangle is 64

we know that,

perimeter of rectangle=2 (l + w)

or,    64=2(3x +5x)

or,     64=2(8x)

or,     64=16x

or,      x=4

therefore length=3x

                      3*4=12

                 width=5x

                     5*4=20

Length of cloth = 5³/4 m -> 23/4 m -> 5.75 m

Cost of cloth per m = ₹42¹/2 -> ₹42.5

Therefore, Cost of 5.75 m = 5.75 × ₹ 42.5 = ₹244.375

Answer = 5.75(5³/4) metres of cloth costs ₹ 244.375

Answer:

Answer given below

Step-by-step explanation:

[tex]5\frac{3}{4}[/tex] m = 5*4 + 3 / 4

= 23/4 m

[tex]42\frac{1}{2}[/tex] rupees = 42*2 + 1 / 2

= 85/2 rupees

cost of 1 meter cloth = 85/2

cost of 23/4 meter cloth = 85/2 * 23/4

= rupees 1955/8

= [tex]244 \frac{3}{8}[/tex] rupees

Answer:

c

Step-by-step explanation:

it just is

Answer:

Step-by-step explanation:

Clyde has x crayons.

Amanda has y crayons.

The equation:

Answer:

A's radius is half so multiply it by 2 to get the diameter which is the same as B's.

Step-by-step explanation:

Answer:

Step 1: 1.5

Step 2: Plot the points (0, 1.5)

Step 3: 3, then 0.75

Step 4: Plot the points (1, 3) and (-1, 0.75)

Step 5: y=0

Step-by-step explanation:

Ur welcome and have a nice day :>

The initial value of the function f(x) = 3/2 (2)^x is 3/2

The function expression is given s:

f(x) = 3/2 (2)^x

Substitute 0 for x

f(0) = 3/2 (2)^0

Evaluate the exponent

f(0) = 3/2 * 1

Evaluate the product

f(0) = 3/2

Hence, the initial value of the function is 3/2

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Answer:

y = 4x -2

Step-by-step explanation:

y = 4x + b

6 = 4(2) + b

6 = 8 + b

-2 = b

Answer:

704π

Step-by-step explanation:

V = π×r²×h

= π×8²×11

= 704π yd³

Answer:

Tue area of the new figure is 28ft

Step-by-step explanation:

Each side 20/4=5

The length 5+2=7

The width 5-1=4

The area 7x4=28

Answer:

a. The constant of proportionality is, 21

b. Tiana charges $94.50 for a job, so, c=94.50

from the given equation,

c = 21h

or, 94.50 = 21h

or, h = 94.50/21

or, h = 4.5

She babysit for 4.5 hours.

Answered by GAUTHMATH

c = 21h

94.50 = 21h

h = 94.50 ÷ 21

h = 4.5hours.

Therefore, Tiana spent 4½ hours babysitting.

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Answer:

huh???

Step-by-step explanation:

how does that make sence

Answer:

3rd option

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

r = - 6 ÷ 1 = 36 ÷ - 6 = - 216 ÷ 36 = - 6

To obtain a term in the sequence multiply the previous term by - 6

Then the recursive rule is

[tex]a_{n}[/tex] = - 6 . [tex]a_{n-1}[/tex]

Answer: 1*6°=6

1*(-6)^1=-6

1*(-6)^2=36

1*(-6)^3=-216

Answer:

x=1, x=2, x=3, x=4, x=5

Step-by-step explanation:

set each expression in the parenthesis equal to 0 to solve for the roots

Answer:

Read below.

Step-by-step explanation:

The expression "BA to the length of MA" is probably part of the expression "the length of BA to the length of MA" and is a ratio.

A proportion is setting two ratios equal.

If two triangles are similar, then the lengths of corresponding sides are proportional. That means that the ratios of the lengths of corresponding sides are equal.

For example, let's say you are given triangles ABC and XYZ, and you are told that triangle ABC is similar to triangle XYZ.

By the order of the letters in ABC and XYZ, you can conclude that

side AB corresponds to side XY

side AC corresponds to side XZ

side BC corresponds to side YZ

Since the lengths of corresponding sides are in the same ratio, so you can further conclude that

the length of AB is to the length of XY as

the length of AC is to the length of XZ as

the length of BC is to the length of YZ

Mathematically, you can write the previous three lines as the proportion

AB/XY = AC/XZ = BC/YZ

Answer:

Last answer.

Step-by-step explanation:

What I do is divide the terms by the previous terms, and if they all equal 1.5, that is your answer.

Answer:

[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex]

[tex]\sf m\angle B = 2x = \bf 80^o [/tex]

[tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]

Step-by-step explanation:

A figure is given to us , in which two lines are parallel to each other. There are two transversals to the || lines . We know that the measure of a straight line is 180° . Therefore ,

[tex]\sf\longrightarrow \angle A +\angle B = 180^o [/tex]

Substitute the given values ,

[tex]\sf\longrightarrow 3x - 20^o + 2x = 180^o [/tex]

Simplify the RHS by adding the variables ,

[tex]\sf\longrightarrow 5x - 20^o = 180^o [/tex]

Add 20° to both sides ,

[tex]\sf\longrightarrow 5x = 180^o + 20^o [/tex]

Add the numbers in RHS ,

[tex]\sf\longrightarrow 5x = 200^o [/tex]

Divide both sides by 5 ,

[tex]\sf\longrightarrow \boxed{\blue{\sf x = 40^o}}[/tex]

Therefore ,

Answer:

Bus charges for 30 people = $98

Step-by-step explanation:

Given:

Car A charges for 2 people = $14

Car B charges for 4 people = $20

Van charges for 8 people = $32

Find:

Bus charges for 30 people

Computation:

Assume;

Fix charge = b

Variable charges = a

So,

2a + b = 14.................................. Eq 1

4a + b = 20 ..............................Eq2

From Eq 1 and 2

a = 3

Variable charges = $3

Fix charge = 8

So,

Bus charges for 30 people = 30a + b

Bus charges for 30 people = 30(3) + 8

Bus charges for 30 people = $98