Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, â€"16)? f(x) = â€"(x â€" 2)(x â€" 4) f(x) = â€"(x 2)(x 4) f(x) = â€"2(x â€" 2)(x â€" 4) f(x) = â€"2(x 2)(x 4).

Answers

Answer 1

To find the equation, for the x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16) we have to find the nature of the curve.

The correct option is f(x) = –2(x – 2)(x – 4).

Given:

The x-intercepts at (2, 0) and (4, 0).

The y-intercept of (0, –16).

The nature of the graph is quadratic curve. Write the general equation for x-intercept.

[tex]y=a(x-2)(x-4)[/tex]

Where is [tex]a[/tex] number

Substitute 0 for [tex]x[/tex].

[tex]y=a(0-2)(-4)\\y=8a[/tex]

We have y-intercept of (0, –16).

[tex]-16=8a\\a=-2[/tex]

The equation would be,

[tex]f(x) = -2(x - 2)(x - 4).[/tex]

Thus, the correct option is f(x) = –2(x – 2)(x – 4).

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Related Questions

3.74 = 0.4n + 2.5
What value of n makes the equation TRUE?

Answers

Find and solve the equation for the value of n (by finding the value of n, you are finding which value of n that makes the statement true.)

3.74 = 0.4n + 2.5

3.74 - 2.5 = 0.4n

1.24 = 0.4n

n = 3.1

So the value of n which makes the statement true is 3.1

Hope this helps :)

The value of n for the equation to be true is n = 3,1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A , 3.74 = 0.4n + 2.5

Now ,

3.74 = 0.4n + 2.5

Subtracting 2.5 on both sides of the equation , we get

0.4n = 3.74 - 2.5

0.4n = 1.24

Divide by 0.4 on both sides of the equation , we get

n = 3.1

Therefore , n = 3.1

Hence , the value of n for the equation to be true is n = 3.1

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what are all the numbers through 10 and 100 that are divisible by 6 and 9

Answers

Answer:

6,12,18,24,36,42,48,5,60,66,72,78,84,90,96

Step-by-step explanation:

got a friend help

MODELING REAL LIFE You and your friend are making pear tarts for a bake sale. Your recipe uses 7/6 times the weight of the diced pears used in your friend’s recipe. Your friend’s recipe calls for 0.3 pound of diced pears. How many pounds of pears should you buy to have enough for both recipes?

Answers

Answer:

0.65

Step-by-step explanation:

7/6+6/6=13/6

13/6=2 1/6

2*0.3=0.6

[tex]\frac{3}{10} *\frac{1}{6} =\frac{1}{20}[/tex]

1/20=0.05

0.6+0.05=0.65

Change 2.33 to a simplified fraction. Round to the nearest hundredth.

Answers

Answer: 233.00

Step-by-step explanation: In this case, Rule I applies, so 233/1 (or 233.000) rounded to the nearest hundredth in decimal format is:

What is the solution to y=12

Answers

Answer:

y=12

Step-by-step explanation:

This equation cannot be simplified further.

Hope this helped! :)

find area of parallelogram multiple choice

refer to image.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP
MUST. give thoughtful explanation

Answers

In ∆ABD

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh=\dfrac{1}{2}(7\times 4)[/tex]

In ∆BCD

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)[/tex]

Now

IN PARALLELOGRAM ABCD

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)+\dfrac{1}{2}(7\times 4)[/tex]

Option A

Find measure of <1

Answer ASAP!!

Answers

Answer:

105 degrees

Step-by-step explanation:

since both sides of a line will add up to 180 we must subtract 75 from 180 since we already have 75 on the triangle side we subtract and get 105

Answer:

here

Step-by-step explanation:

60⁰+45⁰+X=180

105⁰+X=180⁰

X=180⁰-105⁰

hence X=75⁰

Now

<1=60⁰+75⁰

=135⁰

Plz mark as brainlist

Thank you ™

the quotient of x and 10 equals 30

Answers

Answer:

x=3

Step-by-step explanation:

I'm assuming that's what you're asking.

x*10=30=>x=30/10=3

What is 8,024.62 in words?

Answers

Answer:

eight thousand twenty four sixty two hundreths

Step-by-step explanation:

you can replace the decimal pint with an and so that its

eight thousand twenty four and sixty two hundreths

Answer: eight thousand twenty-four and sixty-two hundredths

Step-by-step explanation:

a/6 is greater than 1

Answers

Answer: if its a proper fraction, 1 is always greater. Just know that because something doesnt look right here!

Step-by-step explanation:

1/3x^2 = -3

The solution to the equation is ___?

A) x = 3
B) x = -3
C) x = ±3
D) no solution

Answers

[tex] \frac{1}{3} {x}^{2} = - 3 \\ = > {x}^{2} = - 3 \times 3 \\ = > {x}^{2} = - 9 \\ = > {x} = \sqrt{ - 9} \\ = > x = ±3[/tex]

Answer:

C) x = ±3

Hope you could get an idea from here.

Doubt clarification - use comment section.

I NEED HELP WHAT IS 3 miles 440 yards + 6 miles 880 yards

Answers

(3 miles) + (440 yards) + (6 miles) + (880 yards)

= 9.75 miles

After adding all the given values in, the same unit will be equal to 9.75 miles.

What is Unit conversion?

Multiplying or dividing by a numeric number, or more specifically, a correction factor, is a procedure comprising several steps known as conversion.

Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.

As per the given information in the question,

3 miles + 440 yards + 6 miles + 880 yards

Now, use unit conversion,

1 mile = 1760 yards

440 yards = 0.25 miles and,

880 yards = 0.50 miles

So, total distance is,

3 miles + 0.25 miles + 6 miles + 0.50 miles = 9.75 miles.

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What is the radical form of the expression 4 3/2

Answers

The last option. The top part of the fraction becomes s the exponent of the number inside the root. And the bottom part of the fraction is on top part of the root symbol. With square roots you don’t write the number 2. That’s why there is no number in the last option because that means it is square root (2)

In the equation, 6x - 2y = 11, what is the slope?

Answers

The slop of tge equation is 3

A bag of fruit contains 4 apples and 2 banans 3 oranges and 5 peaches. Darlene will randomly select two piecies of fruit one at a time from the bag and not put them back what is the probabilty that the first piece of fruit Darlene secelts will be on apple and the second piece of fruit will be orange

Answers

Answer:

6/91

Step-by-step explanation:

Total number of fruits = 4 + 2 + 3 + 5 = 14

Apple: 4/14

One of the fruits have been taken from the total. 14 thus becomes 13.

There are 3 oranges

Orange: 3/13

Combine probability: 4/14 * 3/13 = 12/182 = 6/91

Two is a common factor in both 12 and 182

What is the length of the longest side of an isosceles triangle with leg lengths 2x+12 and 5x-9 and base length 6x-2?

Answers

Your longest length is going to be 40

i dont know how to do this stuff
im choosing brainliest

Answers

Answer:

5 - 15 = -10

Step-by-step explanation:

Answer:

5 - 15 = -10

Step-by-step explanation:

If you start with 5 and then subtract 15, you end up at -10.

write an equation for the line that gose through the points (-2,6) and (2, 12)

Answers

Answer:

y = [tex]\frac{3}{2}[/tex] x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )

m = [tex]\frac{12-6}{2-(-2)}[/tex] = [tex]\frac{6}{2+2}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (2, 12 ) , then

12 = 3 + c ⇒ c = 12 - 3 = 9

y = [tex]\frac{3}{2}[/tex] x + 9 ← equation of line

Help me solve these questions
?

Answers

Answer:

All of these?

what is b? 0=-1/5(-1)+b

Answers

Answer:

b= -1/5

Step-by-step explanation:

Though a variable's sign changes when it is multiplied by -1, its absolute value does not. Therefore, we can eliminate the 1:

1/5+b=0

b+1-1/5=0-1/5

b+0/5= 0 -1/5

b=0 -1/5

and you have b= -1/5 as your answer

What is the length of the unknown side of the right triangle? (1 point)

A right triangle with hypotenuse x and legs 21 and 20
A)21
B)29
C)400
D)441

Answers

Answer:

B)29

Step-by-step explanation:

[tex] {x}^{2} = {21}^{2} + {20}^{2} [/tex]

[tex] {x}^{2} = 441 + 400[/tex]

[tex] {x}^{2} = 841[/tex]

[tex]x = \sqrt{841} [/tex]

[tex]x = 29[/tex]

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the two legs, that is

x² = 21² + 20 ² = 441 + 400 = 841 ( take square root of both sides )

x = [tex]\sqrt{841}[/tex] = 29 → B

Thad attempted 25 free throws and made 17 of them while Amy attempted 30 and made 20. Who shot the higher percentage?

Answers

Answer: Thad-1.471

Amy-1.500

SO AMY SHOT WITH A HIGHER PERCENTAGE

Step-by-step explanation: brainliest would be appreciated

If each quadrilateral below is a rectangle, find the missing measure.​

Answers

JMK = 54
JKH = 63
HLK = 90
HJL = 27
LHK = 54
JLK = 27
Hope this helps!

30,098 / 6

Quotient and Remainder

Answers

Answer:

5,016.33333333

Step-by-step explanation:

divide

Which variable is most important in this problem? Sal ordered 20 T-shirts for the graphic design club. After tax, the cost of each T-shirt was $25. How much did the T-shirts cost in all?​

Answers

A is the answer the total coast of t shirts

IM GIVING TONS OF POINTS PLEASE HELP THANKS!

The width of a rectangle is 5 less than twice its length. If the area of the rectangle is 112
cm^2 , what is the length of the diagonal?

Answers

the answer might be 18.64 but im actually kinda du.mb so its probably not right.

Answer:

is 10 points alot? the other guy don't think so

6. The Gonzales family has three children. On summer break, they went to an amusement park. They bought 3 child tickets for $18.50 and 2 adult tickets. If they spent a total of $104.50, how much was the price of each adult ticket? and what is the equation.

Answers

Answer:

$24.50

Step-by-step explanation:

18.50*3=55.50 dollars

104.50-55.50=49.00 dollars

49 divided by 2=24.50 dollars

$24.50 dollars per adult ticket

solve the following quadratic equation ​

Answers

27x^2 = 3

27x^2 - 3 = 0

3(9x^2 - 1 ) = 0

9x^2 - 1 = 0

( I think this is it- )

In order to verify the equation sin (θ +π/4) =-cosθ. What value would you need to know besides sin (π/4)?
Group of answer choices

a cos (π/4)

b sin (2π/3)

c tan (2π/3)

d cos ((-π)/3)

Answers

Answer: A cos (π/4)

I just took a test with this question and got it right

tbh this question confusing the **** outta me​

Answers

Answer:

[tex]8^6[/tex]

Step-by-step explanation:

Powers are defined as the number of times you multiply a number by itself. For example, 2 to the 3rd power is 2 multiplied by itself 3 times. 2 * 2 * 2 = 8. You also know that if you multiply two powers of the same base, you add the exponent, and if you raise a power to a different power, you multiply the exponents.

e.g:

[tex]2^2\cdot2^2=2^{2+2}=2^4\\(2^2)^3=2^{2\cdot3}=2^6[/tex]

Now, we are asking to use grouping to write 2 to the power 18 as a power of 8. We know 2 to the power 8 is 2 to the power 3, so we have the following equation:

[tex]2^{18}=(2^3)^x[/tex]

We know this is now 2 to the power 3x = 2 the power 18, and therefore x = 6, because 3 times 6 is equal to 18. Now, we can just simplify 2 to the third as 8 and we now have:

[tex]8^6[/tex]

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