What is EF?


A. 26
B. 28
C. 30
D. cannot be determined from information given

The quadratic equation with the given conditions is:

[tex]f(x) = \frac{3}{16}(x^2 + 2x - 24)[/tex]

The standard form of a quadratic equation with roots [tex](x_1,0)[/tex] and [tex](x_2,0)[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2)[/tex]

In which a is the leading coefficient.

In this problem, the roots are [tex]x_1 = -6, x_2 = 4[/tex], thus:

[tex]f(x) = a(x - (-6))(x - 4)[/tex]

[tex]f(x) = a(x + 6)(x - 4)[/tex]

[tex]f(x) = a(x^2 + 2x - 24)[/tex]

It passes through point (2,-3), which means that when [tex]x = 2, f(x) = -3[/tex], and this is used to find a.

[tex]a(2^2 + (2)(2) - 24) = -3[/tex]

[tex]-16a = -3[/tex]

[tex]a = \frac{3}{16}[/tex]

Thus, the equation is:

[tex]f(x) = \frac{3}{16}(x^2 + 2x - 24)[/tex]

A similar problem is given at https://brainly.com/question/17987697

Answer:

f = t/m

Step-by-step explanation:

Answer:

14 is the correct answer

Answer:

14

Step-by-step explanation:

the answer is 14 when the equation is evaluated

[tex]( \sqrt{5} + \sqrt{2} {)}^{2} \\ [/tex]

[tex]by \: \: \: using \: \: \: the \: \: \: formula \: \: (a + b) ^{2} = {a}^{2} + 2ab \: + {b}^{2} \: \: we \: \: \: get \\ ( \sqrt{5} {)}^{2} + 2( \sqrt{5}) \: (\sqrt{{2)}} + ( \sqrt{2) }^{2} \\ = \sqrt{5} \times \sqrt{5} + 2 \sqrt{5 \times 2} + \sqrt{2} \times \sqrt{2} \\ = 5 + 2 \sqrt{10} + 2 \\ = 7 + 2 \sqrt{10} [/tex]

(C) 7+2√10

Answer:

y + 1 = [tex]\frac{1}{2}[/tex] (x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁ ) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 1 ) and (x₂, y₂ ) = (2, 1 )

m = [tex]\frac{1-(-1)}{2-(-2)}[/tex] = [tex]\frac{1+1}{2+2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] and (x₁, y₁ ) = (- 2, - 1 ) , then

y - (- 1) = [tex]\frac{1}{2}[/tex](x - (- 2) ) , that is

y + 1 = [tex]\frac{1}{2}[/tex] (x + 2)

The correct answer is A. In a Zero-Based Budget, you spend your checking account balance down to $0 every month.

Zero-base budgeting is an analysis and planning method that is used in cost management, in which the budget is planned from base zero.

Each department has to define different measures for the coming period. The total budget is now divided among the most important measures until it is used up. Particularly important measures are carried out with the special solution, rather unimportant measures with the minimal solution.

Learn more in https://brainly.com/question/15994567

Answer:

$10.28

Step-by-step explanation:

Answer:

71/ 20

Step-by-step explanation:

Answer:

y

Step-by-step explanation:

Answer:

7.994×10^3

3.99780×10^5

1.0051×10^4

3.5×10^1

3.5094013×10^7

Step-by-step explanation:

7994:Seven thousand nine hundred ninety four .

399,780 :Three hundred thousand ninety nine , seven hundred eighty.

10,051 :Ten thousand fifty one .

35 :thirty five .

35,094,013 :thirty five million ninety four thousand and thirteen.

Answer:

31/5

Step-by-step explanation:

Divide both the numerator and denominator by 2.

Answer:

The answer is 3x3x3x3

Step-by-step explanation:

Reason: The 4 on top is an exponent. That exponent shows how many 3's you need to put. You need to put 4 3's, so 3x3x3x3

Answer:

12)

a =140º

b=40º

c=40º

d 140º

Step-by-step explanation:

a line is 180º

Answer:

c 3×10⁹

Step-by-step explanation:

because the answer is 3000000000

Answer:

5 movies

Step-by-step explanation:

90-30=60

60/12=5

Answer:

90 minus 12x is greater than or equal to 30

then solve and get x equals 5

48 seconds / 12 copies = 4 seconds per copy

4 seconds per copy x 5 copies = 20 seconds

Answer: 20 seconds

Answer:

30

Step-by-step explanation:

dollers bc if kate has k dollers a pack of gum is for 30

Answer:

k hh kn gigih ih jodoh Iin om i j OB yoh gih bogoh UB

An arithmetic sequence is a sequence where we use addition or subtraction to get to the next term.

Examples:

1, 3, 5, 7, 9...

Common Difference: Add 2

2, 6, 10, 14, 18, 22..

Common Difference: Add 4

100, 90, 80, 70, 60, 50..

Common Difference: Subtract 10.

25, 30, 35, 40, 45..

Common Difference: Add 5

1, 10, 19, 28, 37..

Common Difference: Add 9

Hope it helps!

[tex]ANSWERED:\\GraceRosalia[/tex]

Answer:

£1 = 100p

100:26

÷2

=50:13 thats the answer

Answer:

Step-by-step explanation:

B=brackets

i= indices

D= division

M=multiplication

A= addition

S= subtraction

7x10000/5x100/6x1

7x10000=70000/500/6

70000/500=140/6= 23.33

Answer:

Q4) 256 roses

Q5) 40 hamburgers

Q6) 60 professors and 168 lecturers

Q7) 20 percussionist on the sideline

Step-by-step explanation:

Q4) First to set up a proportion you simply have to write a letter to represent the missing number. In this case we'll be using x. So it'll look something like these:

I) 160:5 = x:8 (using colon) or

II) 160/5 = x/8 (as two equal fractions)

You can use one of the two above.

I used the fractions here to solve the question.

After setting up the proportion, your going to cross multiply to get the value of x so its going to look like this:

160×8 = 5×x

1280 = 5x

5x = 1280

Now you have to divide on both sides to isolate x.

5x÷5 = 1280÷5

x = 256

Therefore your answer is 256 roses.

Q5) Use the same method in Q4.

Q6) This is where the proportion using colon comes in. It should look like this 5:14. 5 representing the professors and 14 the lecturers. Now it said that the total number of faculty members is 228.

First thing your going to do is add the proportion together. So basically 5+14=19.

After acquiring this your going to use the sum to divide the total number of faculty members which is 228. So 228÷19=12.

And finally you now have to multiply both sides of the proportion by 12. Therefore 5×12:14×12

60:168

To make sure the answer is right add the proportions of the working above which will give you the total number of faculty members. 60+168=228.

Your final answer: There are 60 professors and 168 lecturers.

Q7) Use the same method done in Q6.

I gave the answers to questions 5 and 7 because I wanted to give you the opportunity to try out the working outs yourself for a better understanding on your part and see if you can get the same answers as me. Anyway hope this helped.

Answer:

k = 5

Step-by-step explanation:

y = kx

10 = 2k

k = 5

Answer:

Step-by-step explanation:née

Answer:

4x + 28

3x - 30

24x + 30

14x - 7y

Step-by-step explanation:

Use M a t h w a y to solve

Answer:

B) 12

Step-by-step explanation:

Hope I helped!

Answer:

(3,-7)

Step-by-step explanation:

The point where they cross is the solution

Answer:

0.015625

Step-by-step explanation:

the answer is 0.015625

Answer:

1/4^3

Step-by-step explanation:

1/4^7 x 1/4^-4 = 1/4^ 7+-4

=1/4^3