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artcher [175]
3 years ago
11

1.) p^2+14p-38=0 what the vertex?

Mathematics
1 answer:
Lelu [443]3 years ago
3 0

Answer:

vertex = (- 7, - 87)

Step-by-step explanation:

given a parabola in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

p² + 14p - 38 is in standard form

with a = 1, b = 14, c = - 38, hence

x_{vertex } = - \frac{14}{2} = -7

substitute x = - 7 into the equation for corresponding value of y

y = (- 7)² + 14(- 7) - 38 = 49 - 98 - 38 - - 87

vertex = (- 7, - 87)


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Antwone earns money at a steady rate mowing lawns. The points (1,25) and (5,125) appear on a graph of the amount earned versus n
Volgvan
Use rise over run to find slope. If you don't know what that is, its y2-y1/x2-x1. Y2 is 125, Y1 is 25, X2 is 5, and X1 is 1. You then plug the numbers in, 125-25=100. 5-1=4. then you divide 100/4, in which you get 25. So you times 25 by 3, getting 75.
8 0
3 years ago
A local aquarium purchased a new turtle tank for their giant turtle exhibit. What is the volume of the turtle tank. 15 yd, 12yd,
slavikrds [6]

Answer:

1440 yd³

1200 yd³

Step-by-step explanation:

A local aquarium purchased a new turtle tank for their giant turtle exhibit  for their giant turtle exhibit.

By using the dimensions 15yd by 12yd by 8yd and the shape of the tank is cubooid

We can determine volume by using the formula i.e

V = (Length) × (Width) × (Height),

then the volume of the tank will be

V = 15 × 12 × 8 =

V=1440 yd³.

Now , by using dimensions 15 yd by 8 yd by 10 yd

The volume will be,

V = 15 × 8 × 10 = 1200yd³

6 0
3 years ago
Find the area of circle with a radius of 2 in exact terms​
ss7ja [257]

Answer:

12.56 (13 if rounded)

Step-by-step explanation:

A=pi x r squared

A=2 squared multiplied by pi

A=4 times pi

plug into calculator should be about 12.56

7 0
3 years ago
Suppose you invest $150 a month for 5 years into an account earning 7% compounded monthly. After 5 years, you leave the money, w
lisabon 2012 [21]

Answer:

About 0.3 billion dollars

Step-by-step explanation:

5 years = 60 months.

The 150 of the first month will be 150*1.07^60 in 5 years.

The 150 of the second month will be 150*1.07^59 in 5 years.

The 150 of the third month will be 150*1.07^58 in 5 years.

And so forth.

So we sum that up:

( sum_(n=1)^(60) 150×1.07^n)

And multiply with

× 1.07^(5×23)

to account for the increase in value in the following 23 years.

7 0
3 years ago
Is -40 the solution to -12=<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bu%7D%7B8%7D" id="TexFormula1" title="\frac{u}{8}" alt="\f
valentinak56 [21]
Answer: Yes -40 is the answer

Explanation:

-12 = u/8 - 7
8(-12)/8 = u/8 - 8(7)/8
-96/8 = u/8 - 56/8
-96 = u - 56
-u = -56 + 96
-u = 40
u = -40
4 0
3 years ago
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