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3 years ago

Find the value of y for the given value of x.

Mathematics

2 answers:

Gnesinka [82]3 years ago

8 0

Y = 7x ; x = -5

Y = 2

Y = x2 + 9 ; x = - 12

Y = -15

Sorry if it’s incorrect

tia_tia [17]3 years ago

5 0

X=30 in the first one and x=-15 in the second one

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What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16?

erastovalidia [21]

Answer:

x = 5, x = 1

Step-by-step explanation:

The quadratic equation 0 = 4(x - 3)2 - 16.

Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.

0 = 4(x2 - 6x + 9 ) - 16.

Using distributive property to multiply 4 by x2 - 6x + 9.

0 = 4x2 - 24x + 36 - 16.

Subtract 16 from 36 to get 20.

0 = 4x2 - 24x + 20.

4x2 - 24x + 20 = 0.

Divide both sides by 4.

x2 - 6x + 5 = 0.

To solve the equation, factor and rewrite as x2 + ax + bx + 5

a + b = -6, ab = 1(5) = 5.

a = -5, b = -1.

Rewriting x2 - 6x + 5 as

(x2 - 5x) + (-x + 5)

Factor x in the first and -1 in the second group.

x(x - 5) - (x - 5)

Factor out common term

(x - 5)(x - 1)

By solving the above, we get

x = 5, x = 1

8 0

2 years ago

4. Which property is illustrated by the statement? 8(-5/6)=(-5/6)8

SCORPION-xisa [38]

4. is B
and 5. is also B

7 0

3 years ago

Read 2 more answers

How many times does 1/4 go into 3??

nirvana33 [79]

Your answer is <span>0.75 i hope I helped!</span>

4 0

3 years ago

if the diameter of the front wheels on the locomotive is 4 ft what is the diameter of the front wheels on the model. Express the

Leto [7]

Question is Incomplete, Complete question is given below.

Consider a model of a train locomotive that has a similarity transformation map of x arrow right 48x from the model to the actual locomotive when answering the question.

If the diameter of the front wheels on the locomotive is 4 feet, what is the diameter of the front wheels on the model? Express the answer in inches.

Answer:

The diameter of front wheel on the model is 1 inch.

Step-by-step explanation:

Given:

Let diameter of the front wheel on the model be 'x'.

Actual diameter of front wheel = 4 feet

Now given that ratio model to actual = $\frac{x}{48x}= \frac{1}{48}$

Now we can say that ratio model to actual is equal to ratio of model diameter of front wheel to actual diameter of front wheel.

framing in equation form we get;

$\frac{x}{4}=\frac{1}{48}\\\\x=\frac{4}{48} = \frac{1}{12} \ ft.$

Now we know that;

$\frac{1}{12}\ ft = 1 \ in.$

Hence The diameter of front wheel on the model is 1 inch.

6 0

3 years ago

A cube with sides of length 5 inches has a volume of ___ cubic inches.

faust18 [17]

Answer:

125 cubic inches

Step-by-step explanation:

For Cube:

l = 5 inches

Volume of Cube

$= l {}^{3} \\ = {5}^{3} = 125$

Thus, A cube with sides of length 5 inches has a volume of 125 cubic inches.

7 0

3 years ago