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3 years ago

Graph the equation y = x2 + 8x + 12 on the accompanying set of axes. You must

Mathematics

1 answer:

UkoKoshka [18]3 years ago

8 0

Answer:

Step-by-step explanation:

Roots: set y = x^2 + 8x + 12 = 0 and solve for x: x + 6 = 0, so x = -6 is one root. The other is x = -2. The corresponding points are (-6, 0) and (-2, 0).

y-intercept: Let x = 0. Then y = 12. The y-intercept is (0, 12).

Axis of symmetry: x = -b / (2a) => x = -8/(2*1) = -4: x = -4

Vertex y-value: evaluate y at x = - 4: (-4)^2 + 8(-4) + 12 = -4: (-4, -4)

Arbitrarily chosen x value: x = 1 => 1^2 + 8(1) + 12 = 21: (1, 21)

The five points are: (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21). The vertex is (-4, -4). The parabolic graph opens UP.

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Th SEDelco

Delvig [45]

Corrected Question

Matt makes $80 a month mowing lawns. His friend James also mows lawns, but he makes x dollars less per month than Matt does. James makes a total of $816 per year. How much less each month does James make than Matt? Solve the linear equation to find the value for x

. Remember that x represents how much less per month James makes than Matt

Equation: 12(80 – x) = 816

Answer:

x=$12

Step-by-step explanation:

To solve the given equation

12(80 – x) = 816

First, we distribute:

960-12x=816

Collect like terms

12x=960-816

12x=144

Divide both sides by 12

x=12

Therefore, James makes $12 less than Matt every Month.

6 0

3 years ago

Read 2 more answers

GIVEN BRAINLIEST, 5 STARS, + THANKS

Olin [163]

Answer:

Option B. Side YZ is the same length as side Y'X'.

Step-by-step explanation:

At first the image is for the given question

The true graph is the attached figure.

As shown at the attached figure.

XYZ is reflected across the y-axis and then translated down 6 units to form X'Y'Z'.

So, X' is the image of point X

Y' is the image of point Y

Z' is the image of point Z

And ΔXYZ ≅ ΔX'YΔ'Z'

And the corresponding length are congruent.

We will check the options:

A. X has the same measure as X'. ⇒ True

B. Side YZ is the same length as side Y'X'. ⇒ Wrong

Because YZ will be translated to Y'Z'

C. Z has the same measure as Z'. ⇒ True

D. Side XZ is the same length as side X'Z'. ⇒ True

So, The answer is option B. Side YZ is the same length as side Y'X'.

6 0

3 years ago

What is the percent of 45/100?

myrzilka [38]

45/100 is 4,500% 2/5 is 40% 18/40 is 45% 15/25 is 60%

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3 years ago

Jane will draw one card from the regular deck of 52 cards. In how many ways can she choose a jack or a black card?

elena-s [515]

Answer:

Step-by-step explanation:

In a regular 52 card deck, 26 are black (clubs or spades). Additionally, there are two red jacks (diamonds and hearts). This equals 28/52. As a probability, it would be 28/52=14/26=7/13. This could also be expressed as a percentage or decimal. 0.538 or 53.8%. But the question asks how many ways can she choose a jack or black card, so I’m assuming they don’t want the probability, just the number, which is 28.

3 0

3 years ago

Read 2 more answers

What is the measure of angle X ?

Rus_ich [418]

Answer:

65 deg

Step-by-step explanation:

Recall that interior angles of a triangle must add up to 180 deg.

hence

x + 68 + 47 = 180

x = 180 - 68 - 47 = 65 deg

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3 years ago