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katovenus [111]
3 years ago
8

The axis of symmetry for a function in the form f(x) = x2 + 4x - 5 is x = -2. What are the coordinates of the vertex of the

Mathematics
2 answers:
umka2103 [35]3 years ago
8 0

Answer:

(- 2, - 9 )

Step-by-step explanation:

The axis of symmetry passes through the vertex of the parabola.

Thus the x- coordinate of the vertex is x = - 2

To find y substitute x = - 2 into f(x)

f(- 2) = (- 2)² + 4(- 2) - 5 = 4 - 8 - 5 = - 9

Vertex = (- 2, - 9 )

Nostrana [21]3 years ago
6 0
(-2, -9) that’s My answer I put if this is wrong I’m so sorry
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He total variance is $35000 f. the total materials variance is $14000 f. the total labor variance is twice the total overhead va
TiliK225 [7]
Assume that the total overhead variance is x
We are given that the total labor variance is twice the total overhead variance. This means that, the total labor variance is 2x

Total variance can be calculated as follows:
Total variance = Total materials variance + Total overhead variance
                          + Total labor variance

We have:
Total variance = $35000
Total materials variance = $14000
Total overhead variance = x
Total labor variance = 2x

Substitute in the equation and solve for x as follows:
35000 = 14000 + x + 2x
35000 - 14000 = 3x
21000 = 3x
x = 21000/3
x = 7000

Based on the above calculations:
Total overhead variance = x = $7000
Total labor variance = 2x = 2*7000 = $14000
4 0
3 years ago
What is the value of x?
Tresset [83]

Answer:

i think its 8

Step-by-step explanation:

5 0
3 years ago
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19c10x42c4/61c14 what would that equal to?
Pavlova-9 [17]

1680/61c2      Step-by-step explanation:

3 0
3 years ago
Does the order in which the two transformations in a composite transformation affect the final
kap26 [50]

The order in which the two transformations in a composite transformation affect the final answer

<h3>How to determine the composite transformation?</h3>

To determine if order matters or not, I will use the following example and illustration.

Let the coordinate of point A be:

A = (2, 5)

Perform the following transformations:

  • Translate by (x, y + 1)
  • Dilate by a scale factor of 2

First order: Translation before dilation

The translation by (x, y + 1) would give:

A' = (2, 5 + 1)

A' = (2,6)

The dilation by a scale factor of 2 would give

A" = 2 * (2,6)

A" = (4,12)

Second order: Dilation before translation

The dilation by a scale factor of 2 would give

A' = 2 * (2,5)

A' = (4,10)

The translation by (x, y + 1) would give:

A'' = (4, 10 + 1)

A'' = (4,11)

See that the final coordinates in both orders are not the same.

Hence, the order in which the two transformations in a composite transformation affect the final answer

Read more about transformation at:

brainly.com/question/1548871

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6 0
2 years ago
juan and debbie each earn 9 per hour at their "jobs." Debbie worked five hours more than juan during the week. if juan and debbi
Vaselesa [24]

Using a system of equations, it is found that Debbie worked 45 hours during the week.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Amount of hours worked by Juan.
  • Variable y: Amount of hours worked by Debbie.

Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:

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Simplifying the expression by 9:

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Debbie worked five hours more than juan during the week, hence:

y = x + 5.

Since x = 85 - y, we replace in the expression:

y = 85 - y + 5.

2y = 90.

y = 45.

Debbie worked 45 hours during the week.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

3 0
2 years ago
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