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1 year ago

Raise 7 to the 2nd power, then add the result to b

Mathematics

2 answers:

Aleks [24]1 year ago

6 0

(7)^2 +

2nd power means squaring a number and since you need to do that first, it goes in brackets.

yaroslaw [1]1 year ago

5 0

answer: 49 + b, or just 7^2 + b

explanation: 7^2 = 7x7, so it is equal to 49. then add b to 49

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1. Find the vertex of the following: y = (x - 4)(x - 10) *

horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

$\frac{-b}{2a}$

First make the equation into a quadratic equation.

$(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40$

Now it is in the form

$ax^{2} +bx+c=0$

Now we can substitute the values

$\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7$

Now we have 7 as our x value for the vertex we can substitute for y,

$x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9$

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

$x-4=0\\x=4\\\\x-10=0\\x=10$

4 is slightly different but start the same,

$(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9$

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

$2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30$

Vertex,

$\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1$

Substitute,

$2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32$

So the vertex is (-1,-32)

8 0

3 years ago

What is the equation of the line that passes through the point (-7, 2) and has a slope of -1?

Morgarella [4.7K]

Answer:

y= -1x-5

Step-by-step explanation:

4 0

3 years ago

Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function

kompoz [17]

Step-by-step explanation:

this is a strange rental company charging no daily fees.

but ok.

so, we have a fixed part of the cost : $24

we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.

and then we pay $0.35 for every mile driven.

that makes our function

C(x) = 0.35x + 24

and if we drive 40 miles, that makes x = 40.

C(24) = 0.35×40 + 24 = 14 + 24 = $38

it would cost us $38.

3 0

3 years ago

PLEASE HELP QUICK ASAP

tankabanditka [31]

Answer:

Julie's share of the profits is (6/16)($4000) = $1500

Step-by-step explanation:

Write and solve an equation of ratios:

Jane's contrib. $10000 10

---------------------- = -------------- = ------ .

Julie's contrib. $6000 6

Adding 10 and 6 together, we get 16.

Julie's share of the profits is (6/16)($4000) = $1500. Jane would take (10/16)($4000), or $2500.

7 0

3 years ago

In 1995, there were about 70,200 cats registered with the cat franciers association. Of these, about 44,700 were persians. What

Doss [256]

Answer:

reqired part of registered cats were persian=0.363247

Step-by-step explanation:

reqired part of registered cats were persian= $\frac{70200-44700}{70200}$

reqired part of registered cats were persian= $\frac{25500}{70200}$

reqired part of registered cats were persian=0.363247 answer

3 0

3 years ago