5. What is the value of this function evaluated at F(-3)?
F(x)=2x² + 5x - 9

Answer:

[tex]d = \sqrt{13}[/tex]

Step-by-step explanation:

Use the Distance Formula to help you determine the distance between the two following points:

-Distance Formula:

[tex]d = \sqrt{(x_{2} - x_{1})^2 + ( y_{2} - y_{1})^2}[/tex]

(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)

-Apply the two following points onto that equation:

[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]

[tex](x_{1}, y_{1}) = (5, 3)[/tex]

[tex](x_{2}, y_{2}) = (7, 6)[/tex]

-Solve the equation:

[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]

[tex]d = \sqrt{2^2 + 3^2}[/tex]

[tex]d = \sqrt{4 + 9}[/tex]

[tex]d = \sqrt{13}[/tex]

So therefore, the distance is [tex]\sqrt{13}[/tex].

Answer:

the answer is 48

Step-by-step explanation:

Answer:

124, I think

Step-by-step explanation:

you set them equal to each other and solve for x, then substitute in for A. if this is wrong please let me know

Answer:

Should be something along the lines of:

3,450 = 326x - 310

Step-by-step explanation:

First, let's start with the number of years. Assume the number of years is x. 3262 greenhouses amounts to about 326 greehouses/year. The other number was the existing greenhouses, but we want just how many greenhouses that were built, per the subtraction sign.

Hope this helps!! : )

Sorry if I am wrong, haven't done equations in a while.

Answer:

x = 2

Step-by-step explanation:

instructions above :)

Answer:

[tex]-\frac{5}{6}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

[tex]\frac{-10}{12} ,\frac{-5}{6}[/tex]

Step-by-step explanation:

Start with:

[tex]\frac{-2}{3}[/tex] × [tex]\frac{5}{4}[/tex]

Multiply your numerators.

[tex](-2)(5)=-10[/tex]

Now, multiply your denominators.

[tex](3)(4)=12[/tex]

Let's transfer those numbers into a fraction.

[tex]\frac{-10}{12}[/tex]

You may need to simplify.

Divide by the greatest common factor. In this case, that would be [tex]2[/tex].

[tex]-10[/tex] ÷ [tex]2=-5[/tex]

[tex]12[/tex] ÷ [tex]2=6[/tex]

Put those numbers back into the fraction.

[tex]\frac{-5}{6}[/tex]

Let s be Jim's Sister's age now

s = 2x

Answer:

12, 15 would be the next two in that order

Answer:

Step-by-step explanation:

(2n -3)(2n+1) = 4n^2 + 2n - 6n - 3 = 4n^2 - 4n -3

Answer:

[tex](k+9)(k-9)[/tex]

Step-by-step explanation:

[tex]k^2-81[/tex]

[tex]k^2-9^2[/tex]

Apply the difference of squares formula: [tex]x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

Thus, [tex]k^2-9^2=\left(k+9\right)\left(k-9\right)[/tex]

Answer:

yz= 100-30

yz= 70.

hope it helps.

Answer:

Step-by-step explanation:

2 + 4 > 8

6 > 8

not true

xy = -2

(-3)(2/3) = -2

-2 = -2 TRUE

x + 3y = -1

-3 + 3(2/3) = -1

-3 + 2 = -1

-1 = -1 TRUE

x + z = 4

-3 + z = 4

z = 7 NEITHER

9y = -2x

9(2/3) = -2(-3)

6 = 6 TRUE

y/x = -2

(2/3)/(-3) = -2

-0.22... = -2 FALSE

-2/x / y = -1

-2/-3 / 2/3 = -1

2/3 / 2/3 = -1

1 = -1 FALSE

Best of Luck!

Answer:

A. xy = -2 - true

B. x + 3y = -1 - false doesn't equal -1 it equals -2

C. x + z = 4 - neither because z

D. 9y = -2x - false because it equals  -6

E. y/x = -2 - false because it equals -.2222222

F. -2/x / y = -1  - false it equals positive 1

x = # of days.

1.5x = 47.075

Divide both sides by 1.5

x = 31.38 days

Answer:addition property of equality, combine like terms, distributive property and division property of equality.

Step-by-step explanation: I took the test

Answer:

36 miles per gallon of gas

Step-by-step explanation:

Answer:

36 miles per gallon

Step-by-step explanation:

if she drove 216 miles and used 6 gallons of gas then you would divide 216/6=36. so the answer is 36 miles per gallon

Answer:

are or rectangle = l*b

252= (x+2) (2x+1)

252= 2x²+x+ 4x +2

2x²+5x -250=0

(x-10) (2x+25)=0

so x=10

using sum and product method

Step-by-step explanation:

Answer:

The expression is (x + 4) yards where x yards represent the initial amount of yards had by tre team

Step-by-step explanation:

In this question, we are told to write an expression which can be used to describe the total yard gained by the team.

Now, before we can write an expression showing the yard gained by the team, we need a variable that will represent the amount of yard they had initially.

Let us represent this by x yard.

By gaining 12 yards in the first play, total amount of yards now become x + 12 yards

Now in the second play, they lost 8 yards and this translates to (x + 12)-8 = (x + 4) yards

Answer:

Hey there!

6x+1+3=8x+1

6x+4=8x+1

6x+3=8x

3=2x

x=1.5

6(1.5)+1

10

SR is 10 units long.

Let me know if this helps :)

Answer:

Measure the distance from one endpoint to the other.

Answer:

a line segment is a portion of a straight line which is directly connected to two given points. the given points has coordinate x and y

distance = √(x2-x1)²+(y2-y1)²

example : find distance between two points (2,6) and (3,4) ( find the length of a segment)

d = √(3-2)²+(4-6)

d=√1²+2²

d=√5

Answer:

On the grid

Step-by-step explanation:

Go 226 spaces to the left of the x axis, when you get there go 216 up on the y axis

Answer:

[tex] y = \frac{ - 4}{5} x + 7[/tex]

Answer:

x=-1.68

Step-by-step explanation:

5x + 34 = 2(1 -7x)

5x+34=2-14x

5x+14x=2-34

19x=-32

x=1.68

Answer:

[tex] {10}^{ - 14} [/tex]

Step-by-step explanation:

[tex] \huge\frac{ {10}^{ - 9} }{ {10}^{5} } \\ \\ \huge = {10}^{ - 9} \times {10}^{ - 5} \\ \\ \huge = {10}^{ - 9 + ( - 5)} \\ \\ \huge = {10}^{ - 9 - 5} \\ \\ \huge \orange {= {10}^{ - 14}} [/tex]

Answer: $732.25

Step-by-step explanation: I just took the quiz through K12 online school.

Answer: D.$732.25

Step-by-step explanation:

Patti's ending balance was $715.26

On 2/5 (February 5) she did a withdrawal (-) of $140.00

On 2/7 she did a check (-) of $326.15 and a deposit (+) of $483.14

$715.26- $140.00- $326.15+ $483.14= $732.25

Step-by-step explanation:

First she need to measure the complete wall distance and then divide it by 2

(I just tried the answer, Sorry if it is wrong)

We need not go so depth in this question and find it logically.

Answer:

y=80x + 100

Step-by-step explanation:

y - 660 = 80(X – 7)

y-660= 80 x - 560

y-660+660= 80 x - 560+660

y= 80x + 100

Answer:

Answer:

y=80x + 100

Step-by-step explanation:

y - 660 = 80(X – 7)

y-660= 80 x - 560

y-660+660= 80 x - 560+660

y= 80x + 100

Step-by-step explanation:

just read it g

Answer:

option 4) -18x = 12x-20

Step-by-step explanation:

Answer:

A- SAS

Step-by-step explanation:

The statements tell you the outer two lines are congruent and the top two angles as well, then through the properties of equality you know the inner line is congruent to itself. That means you have two sides and an included angle making it SAS.