did i do this right?

Answer:

[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]

Step-by-step explanation:

We want to find a quadratic that passes through the points:

[tex](-4, 0), \, (2, 0), \text{ and } (6, -20)[/tex]

In intercept form.

First, note that the first two given points are the x-intercepts of our quadratic. Intercept or factored form is given by:

[tex]y=a(x-p)(x-q)[/tex]

Where p and q are the x-intercepts, and a is the leading coefficient.

So, we will substitute -4 and 2 for p and q:

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

Simplify:

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

Next, the third point (6, -20) tells us that y = -20 when x = 6. So:

[tex](-20)=a(6+4)(6-2)[/tex]

Solve for a:

[tex]-20=10(4)a\Rightarrow 40a=-20[/tex]

Thus:

[tex]\displaystyle a=\frac{-20}{40}=-\frac{1}{2}[/tex]

Hence, our equation in intercept from is:

[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]

Answer:

7

Step-by-step explanation:

1x2=2x3/1/2= 7

Answer:

7

Step-by-step explanation:

I did the question

Answer:

89.5 cm

Step-by-step explanation:

circumference of full circle = π2r = 3.14 x 2 x 19 = 119.32 cm

(270/360)(119.32) = 89.5 cm

Answer:

33 newspapers per 1 pile.

Step-by-step explanation:

33+33+33=99

Answer:

there would be 33 news papers in each pile

Step-by-step explanation:

when you divide 99 from 3 you will get 33 so you would have 33 in each pile hope this helps.

Answer:

,,,,,,,,,,,,,,,,,,,,

Answer:

1/∛x

Step-by-step explanation

Based on the therem of power of exponents;

a^-m = 1/a^m

Given the expression

x^-1/3

On comparison, you ca see that;

a = x

m = 1/3

Substitute into the general formula;

x^-1/3 = 1/a^1/3

Also, [tex]a^{\frac{1}{x} } = \sqrt[x]{a}[/tex]

Hence;

[tex]\frac{1}{x^{\frac{1}{3} } } = \frac{1}{\sqrt[3]{x} }[/tex]

This that the required expression is 1/∛x

Given:

In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G  is 110 degrees.

To find:

The measure of angle FEG.

Solution:

Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.

Using extrior angle theorem in triangle EFG, we get

[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]

[tex]5x+6x=110^\circ[/tex]

[tex]11x=110^\circ[/tex]

[tex]x=\dfrac{110^\circ}{11}[/tex]

[tex]x=10^\circ[/tex]

Now,

[tex]m\angle FEG=5x[/tex]

[tex]m\angle EFG=5(10^\circ)[/tex]

[tex]m\angle EFG=50^\circ[/tex]

Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.

Answer:

2 * 2 * 2 * 2 * 2 * 2, 4 * 16, 8 * 8.

Step-by-step explanation:

To make this easier, let's find the values of all the answers.

2^6 = 64.

So now we compare the values.

6 * 6 * 6 * 6 * 6 * 6 = 46656.

2 * 2 * 2 * 2 * 2 * 2 = 64.

2 * 6 = 12.

4 * 16 = 64.

12 * 12 = 144.

8 * 8 = 64.

Answer:

22222241688

Step-by-step explanation:

I think I think I think

Answer:

75 divided by 15 = 5 undershirts.

Answer: 40%

Step-by-step explanation:

Answer:

I think B is the correct answer, sorry im not very good with math tho.

Step-by-step explanation:

Sorry if its incorrect

Answer:

When you have two negative signs, one turns over, and they add together to make a positive. If you have a positive and a negative, there is one dash left over, and the answer is negative.

Step-by-step explanation:

Answer:

There is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.

Step-by-step explanation:

the correct answer

Answer:

y = 2x +14

Step-by-step explanation:

2y - 4x = 10

=> 2y = 4x + 10

=> y = 2x + 5

          ↑ the slope of this equation

parallel lines have the same slope, thus, the equation in the 4 options must have the same slope: 2.

plug in point (-6, 2) & the slope "2" into the equation: y = ax + b   to find "b."

=> 2 = -6(2) + b

=> b = 14

plug in the slope "2" and the y-intercept(or b) "14" into the equation: y = ax + b

=> y = 2x +14

Answer:

16 cm

Step-by-step explanation:

We're to find the length of RT.

Apply the leg rule which is given as,

Hypotenuse/leg = leg/part

Hypotenuse = PR = 7.2 + 12.8 = 20 cm

Leg = RT

Part = 12.8 cm

Plug in the values

20/RT = RT/12.8

Cross multiply

RT*RT = 20*12.8

RT² = 256

RT = √256

RT = 16 cm

Answer:

sparky is 4 years older than cookie

__________________________

hope this helps, I wasn't entirely certain what the question was.

Answer

y= 1.5x+4

Step-by-step explanation:

Answer:

60 seconds

Step-by-step explanation:

The y-intercept is 60

Answer:

12,300

Step-by-step explanation:

I'll right this as a function to make it easier on me.

f(x) = 7500(1 + 0.8)^x

f(2) = 7500(1 + 0.8)^2

f(2) = 7500(1 + 0.64)

f(2) = 7500(1.64)

f(2) = 12300

Answer:

$8700

Step-by-step explanation:

0.08 x 2 yrs = 0.16

7500 x 0.16 =1200

7500 + 1200 = 8700

9514 1404 393

Answer:

  (a)  132

Step-by-step explanation:

Exterior angle DBA is the sum of the remote interior angles D and C.

  ∠DBA = 65° +67°

  ∠DBA = 132°

Answer:

w + w

Step-by-step explanation:

w + w   * 1 is the coefficent of w *

1w + 1w

(1+1) w

2w

Answer:

w+w

Step-by-step explanation:

Answer:

408 Cars

Step-by-step explanation:

Dividing 12 Hours by 1.5 hour

= 12/1.5 = 8

Now Multiplying 8 by 51

=51 x 8

= 408 cars  

Answer:

-17°C at sunset

15°C at sunrise

Answer:

The probability of both coins landing on tails is 25%

Step-by-step explanation:

A coin toss is a 50% chance to get on either side, if you toss 2 coins that probability is cut in half and becomes a 25% chance to get both of the coins to land on the same side.

Answer:

[tex] BD \approx 2.6[/tex]

Step-by-step explanation:

By angle bisector theorem:

[tex] \frac{3.4}{BD} = \frac{6.5}{4.9} \\ \\ BD = \frac{3.4 \times 4.9}{6.5} \\ \\ BD = \frac{16.66}{6.5} \\ \\ BD = 2.56307692 \\ \\ BD \approx 2.6[/tex]

Answer:The answer is A

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

7

−

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

7

b={\color{#e8710a}{-7}}

b=−7

=

−

1

8

c={\color{#129eaf}{-18}}

c=−18

=

−

(

−

7

)

±

(

−

7

)

2

−

4

⋅

5

(

−

1

8

)

√

2

⋅

5

x=\frac{-({\color{#e8710a}{-7}}) \pm \sqrt{({\color{#e8710a}{-7}})^{2}-4 \cdot {\color{#c92786}{5}}({\color{#129eaf}{-18}})}}{2 \cdot {\color{#c92786}{5}}}

x=2⋅5−(−7)±(−7)2−4⋅5(−18)​​

2

Simplify

3

Separate the equations

4

Solve

Solution

=

7

±

4

0

9

√

1

0

Answer:

-360

Step-by-step explanation:

Answer:

-360

Step-by-step explanation:

yes is it correct.................

Answer:

(5 , 3)

Step-by-step explanation:

x + y = 8 ----------------(I)

-x + 3y = 4 ----------(II)

Add equation (I) and (II) and so x will be eliminated and we can find the value of y

(I)      x + y    = 8

(II)   -x   + 3y = 4  

             4y = 12  {Divide both sides by 4}

y = 12/4

y = 3

Plugin y = 3 inn equation (I)

x + 3 = 8 {Subtract 3 from both sides}

     x = 8 -3

x = 5