Is this graph a function?

Answer:

(-6,2)

Step-by-step explanation:

[tex]f(x)<0[/tex]

We are given [tex]f(x)=x^2+4x-12[/tex].

So we need to solve:

[tex]x^2+4x-12<0[/tex]

First let's find when the expression on the left is 0.

[tex]x^2+4x-12=0[/tex].

The expression on the left is factorable.

Given the coefficient of [tex]x^2[/tex] is 1, all we have to do is see if there are two numbers that multiply to be -12 and add to be 4.

Those numbers are 6 and -2 so the factored form is:

[tex](x+6)(x-2)=0[/tex]

So the solutions can be found be solving the following linear equations:

[tex]x+6=0[/tex] and [tex]x-2=0[/tex].

First equation, you just need to subtract 6 on both sides. [tex]x=-6[/tex]

Second equation, you just need to add 2 on both sides. [tex]x=2[/tex]

So draw a number line with those on it and test the intervals they divide.

--------(-6)--------(2)----------

So we need to test three intervals.

*Plug in a number before -6 to see if that piece of the function is above the x-axis or below. We are looking for below since we want [tex]f(x)<0[/tex].

Let's plug in x=-8

[tex]f(x)=(x+6)(x-2)[/tex] or use [tex]f(x)=x^2+4x-12[/tex].

[tex]f(-8)=(-8+6)(-8-2)[/tex]

[tex]f(-8)=(-2)(-10)[/tex]

[tex]f(-8)=20[/tex] so this piece is above since 20 is positive and not negative.

So we will not include this interval in our answer.

*Plug in a number between -6 and 2 like 0.

[tex]f(x)=(x+6)(x-2)[/tex]

[tex]f(0)=(0+6)(0-2)[/tex]

[tex]f(0)=(6)(-2)[/tex]

[tex]f(0)=-12[/tex] so this piece is under since -12 is negative and not positive.

So our solution includes the interval (-6,2).

*Plug in a number after 2 like 5.

[tex]f(x)=(x+6)(x-2)[/tex]

[tex]f(5)=(5+6)(5-2)[/tex]

[tex]f(5)=(11)(3)[/tex]

[tex]f(5)=33[/tex] so this piece is above since 33 is positive and not negative.

The answer only includes the interval (-6,2).

Answer:

A is correct

3.75x 1^5 is also written as 375000

Divide 375000 by 75 and u get 5, 000

5 times 10^3 is also 5000

therefore A is correct

Step-by-step explanation:

Answer:

5000 or A. 5 x [tex]10^{3}[/tex]

Step-by-step explanation:

3.75 x [tex]10^{5}[/tex] = 375000

375000/75 = 5000

Answer:

7:20

Step-by-step explanation:

Its very complex i know

Answer:

314.2 cm²

Step-by-step explanation:

The formula for the area of a circle is πr², so since the radius is 10, just multiply 100 × π, which is 314.2, since the problem told you to use 3.142 for π.

The answer is B

I hope you have a nice day!

Answer:

b

Step-by-step explanation:

took test on edge 2020

Answer:

10

Step-by-step explanation:

If Sabrina is 5 & Michael is 7. (5×7=35)

Michael is 7, & he is 3 yrs younger than Meghan, who is 10. And Meghan is twice as old as Sabrina, when Sabrina is 5 (5×2=10).

Answer:

Meghan is 10 years old

Step-by-step explanation:

We can write out the information with equations and then combine the information. Then, we can solve for x and hence solve for Meghan's age.

We write our first variable, x. Meghan (m) is twice as old as Sabrina (x). So we write:

m = 2x

Michael (M) is 3 years younger than Meghan. So we write:

M = m - 3

The product (multiplication) of Sabrina's and Michael's age is 35. So we write:

Mx = 35

To solve for x, we can substitute Meghan's age (2x) into the equation for Michael.

M = 2x - 3

Then, we can substitute this for M in the final equation to solve for x. This will be a quadratic so we factorise to solve it:

x(2x - 3) = 35

2x² - 3x = 35

2x² - 3x -35 = 0

(2x - 7)(x - 5) = 0

x = ⁷⁄₂ or 5

we know it is 5 since ⁷⁄₂ does not work and it is not a whole number. Hence:

m = 2(5)

m = 10

Answer:

-18

Step-by-step explanation:

k ≥ −18

Answer:

The solution is K > -18

_

Answer:

No

Step-by-step explanation:

It is not because 8/5 16/8 is not proportional. If it were to be proportional it would be 8/5 and 16/10 NOT 16/8

Answer:

25.981 seconds

Step-by-step explanation:

because X represents the magnitutde of falling height substitute 1200 into the original equation and you will find the above answer

Answer:

Question 7: The new vertices after translation are:

U'(1-2), V'(2,0), W'(3,0), X(2,-2)

Question 8: The new coordinates after translation are:

W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)

Step-by-step explanation:

Question No 7:

Translation Rule: (x,y) =>

U(-5,1), V(-4,3), W(-3,3), X(-4, 1)

In order to get the new coordinates, we have to add 6 to x-coordinate of vertices  subtract 3 from y-coordinates of all vertices. So,

[tex]U(-5,1) => (x+6,y-3) => (-5+6, 1-3) => U'(1,-2)\\V(-4,3) => (x+6,y-3) => (-4+6, 3-3) => V'(2,0)\\W(-3,3) => (x+6,y-3) => (-3+6, 3-3) => W'(3,0)\\X(-4,1) => (x+6,y-3) => (-4+6, 1-3) => X'(2,-2)[/tex]

Hence, the new vertices after translation are:

U'(1-2), V'(2,0), W'(3,0), X(2,-2)

Question No 8:

W(-3,-2), X(-2,2), Y(2,0), Z(1,-3)

Translation Rule: (x+2,y+2)

In order to get the new coordinates, we have to add 2 to x-coordinate of vertices and add 2 to y-coordinates of all vertices. So,

[tex]W(-3,-2) => (x+2,y+2) => (-3+2, -2+2) => W'(-1,0)\\X(-2,2) => (x+2,y+2) => (-2+2, 2+2) => X'(0,4)\\Y(2,0) => (x+2,y+2) => (2+2, 0+2) => Y'(4,2)\\Z(1,-3) => (x+2,y+2) => (1+2, -3+2) => Z'(3,-1)[/tex]

Hence The new coordinates after translation are:

W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)

Answer:

1 7/20 or 27/20

Step-by-step explanation:

Convert the fraction to where the denominators are both equal then subtract 2/5

A fraction is a way to describe a part of a whole. The amount of coffee that Awan drinks is 0.7 quarts.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given Awan has 1 3/4 quarts of tea, also he drinks 2/5 of the coffee, therefore, the amount of coffee that Awan drinks is,

Amount of Coffee = 1 3/4 × 2/5

Amount of Coffee = 7/4 × 2/5 = 14/20 = 7/10 = 0.7 quarts

Hence, the amount of coffee that Awan drinks is 0.7 quarts.

Learn more about Fraction:

https://brainly.com/question/1301963

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Answer:

If the owner left only 3 cans of food for 5 days, that means that we have to divide those cans of food so we can just do simple math and divide 3 by 5

3/5 and you get 0.6

So the cat must eat 0.6 of each can everyday.

Answer    

b

Step-by-step explanation:

yeah

Answer:

ok go on a site called math.way it will really help you

Step-by-step explanation:

the least common multiple is 1,020 :)

Answer:

Attached above is the answer

Answer:

2 big

30 small

Step-by-step explanation:

possibility

Answer: is 1/2

Step-by-step explanation:

Answer:

176

Step-by-step explanation:

Answer:

What do you mean by third equivilent fraction? One equivalent fraction is 4/6.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The answer is 2 because it appears more then 1 which means that it is the highest common factor aka HCF

Hope this helps

The HCF is 2.

What is HCF?

The full form of HCF is the Highest Common Factor. HCF of two or more numbers is the greatest factor that divides the numbers.

For example, 2 is the HCF of 4 and 6.

Given numbers:

10,18 ,20 and 36​

Now splitting the factors of each number we have

10=2*5

18=2*3*3

20=2*2*5

36=2*2*3*3

Hence, the Highest common factor is 2.

Learn more about HCF here:

https://brainly.com/question/28574719

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9514 1404 393

Answer:

  y = 1

Step-by-step explanation:

The horizontal asymptote can be found as the ratio of the highest-degree terms in the numerator and denominator.

  f(x) = (x -2)/(x +2)

lim (x→ ±∞) of f(x) = x/x = 1

Answer:the answer is 3/8.

Step-by-step explanation:

Answer:

218 (not positive its correct)

Step-by-step explanation:

Answer:

hope it helps..

Step-by-step explanation:

Using the slope-intercept form, the slope is 0 .

Answer:

$1,300

Step-by-step explanation:

commission on the first $10,000

= 4/100 * 10000

= $400

remaining amount

= $28,000 - $10,000

= $18,000

commission on remaining $18,000

= 5/100 * 18000

= $900

total commission

= $400 + $900

= $1,300

Answer:20

Step-by-step explanation:

Because it's not relevant

Answer:

25 and 11

Step-by-step explanation:

because subtract 14 from 36 it will give u 11 so 11 is your smaller number and 25 is your bigger

Hope this helps :)

Answer:

The numbers are 11 and 25.

Step-by-step explanation:

Assign x to the the numbers.

One of the numbers is 14 more than the other.

x + (x+14) = 36

Smaller number = x

Bigger number = x +14

2x + 14 = 36

2x = 22

x = 11 = smaller number

x = 11 + 14 = 25 = bigger number

Answer:

y=mx+b no judgement i think this is right but i coukldbe completely off

Step-by-step explanation: