All categories

3 years ago

Find the axis of symmetry for the function below. 2x^2 – 8x + 5 = 0

Mathematics

1 answer:

lord [1]3 years ago

8 0

Your answer is (0,-3). The axis of symmetry is basically the y part in a vertex. I just found the vertex of the equation (showed you the steps how to do so if you don’t know) and then took the y value of the vertex-which is the axis of symmetry. Hopes this helps!

You might be interested in

the distance from the park to the grocery store is 0.9 mile. Ezra runs 8 tenths of that distance and walks the rest of the way.

Sholpan [36]

The distance from the park to the grocery store is 0.9 mile. Ezra runs 8 tenths of that distance and walks the rest of the way. The distance ezra runs can be solve by multiplying 8/10 to the total distance.

X = 0.9(8/10)=0.72 mile

6 0

3 years ago

The intersection of lines y=-14x+3 and y=-32x+3 is .

Kamila [148]

The intersection of lines y=-14x+3 and y=-32x+3 is (0, 3)

<h3>How to determine the intersection of the lines?</h3>

The lines are given as:

y = -14x + 3 and y = -32x+3

Substitute y = -32x+3 in

-32x+3 = -14x + 3

Evaluate the like terms

-18x = 0

Divide by -18

x = 0

Substitute x = 0 in y = -14x + 3

y = -14(0) + 3

Evaluate

y = 3

Hence, the intersection of lines y=-14x+3 and y=-32x+3 is (0, 3)

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

6 0

2 years ago

What 2 numbers multiply to -147 but add to -14?

Bezzdna [24]

Okay, so let's go over multiplying negative numbers. A positive times a positive is a positive, right? But a negative times a negative is also a positive. Only a negative times a positive (or a positive times a negative) gives you a negative number. So, we know that one of our 2 numbers in this question must be negative; the other must be positive.

Let's now take a look at the factors of -147, starting with the positives. Obviously, -147 and 1 are factors: -147 * 1 = -147. What other factors of -147 are there?

What about 7? Try it: -147 / 7 = -21. So here are two factors: -21, and 7. They multiply to -147. Do they add up to -14? Let's see: -21+7 = 7+(-21) = 7-21= -14. Yup, that works!

Answer: -21 and 7

4 0

3 years ago

Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natu

fiasKO [112]

Answer:

d. The cost of natural gas (y) = $0.83 per unit

Step-by-step explanation:

The explanation is shown below:-

the equation of system is:

750x + 17y = 141.61 (i)

300x + 30y =75.90 (ii)

as x indicates the cost of electricity and y indicates the costs of natural gas.

we will solve the both equation with the help of multiplication for (i) by 30 and for (ii) 75

$30\times (750x + 17y) 30\times 141.61\\\\$

after solve the above equation we will get

22,500x + 510y = 4248.3 (iii)

$75\times (330x + 30y) = 75\times 75.90$

after solve the above equation we will get

22500x + 2250y = 5692.5 (iv)

After deducting the equation (iii) and (iv) we will get

1740 y = 1444.2

After Dividing by 15 both sides,

116y = 96.28

So, Katrina simplify the above system using linear equation and reach at the equation that is

116 y = 96.28

By Division property of equality defines that divide the equal no. of both sides of an equation:

by Division of 116 to both sides of an equation, to get y:

$\frac{116y}{116} = \frac{96.28}{116}$

y = 0.83

So, the natural gas is $0.83 per unit

7 0

3 years ago

A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean

iogann1982 [59]

Answer:

0.1469

Step-by-step explanation:

Given from the question;

Mean=8.4 hrs=μ

Standard deviation=1.8 hrs=δ

Sample size, n=40

Let x=8.7

z=(x-μ)÷(δ÷√n)

Find z(8.7)

z=(8.7-8.4)÷(1.8÷√40)

z={0.3×√40}÷1.8=1.05409

z=1.0541

Read from the standard normal probabilities table

P(z>1.0541)

=0.1459

3 0

3 years ago