Find the equation for the
following parabola.
Vertex (0, 0)
Focus (2, 0)
A. 2x2 = y
B. y2 = 8x2
C. x2 = 8y
D. y2 = 8x

Answer:

y = -4x +7

Step-by-step explanation:

First, we need to find the slope of the first equation

8x + 2y = 4

Subtract both sides by 8x

8x + 2y = 4

-8x         -8x

2y = -8x + 4

Then divide both sides by 2 to isolate the variable, y

2y/2 = (-8x + 4)/2

y = -4x + 4

This means the slope is -4, so our other equation will need to have the slope of -4 to be parallel

y = -4x + ?

Wait, the equation also needs to be a line where it goes through (0,7)

Luckily, that just seems to be the y-intercept, so our work is cut out for us.

Here is our equation

y = -4x + 7

You can plug in the numbers to check

7 = -4(0) +7

7 = 0 + 7

7 = 7

Answer:

the answer is b!!!!!!!!!!!!

(3x-3)(x²+3)

=x²(3x-3)+3(3x-3)

=3x³-3x²+9x-9

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 5

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 )

Here m = - [tex]\frac{1}{3}[/tex] , then

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (6, 3 ) into the partial equation

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line

Answer:

y = -9x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b

Therefore, the equation is y = -9x + 6.

Answer:

70 seconds

Step-by-step explanation:

first we'll divide seconds by shirts 28/2 to find out how long it takes to do one shirt. it takes Jonah 14 seconds to do 1 shirt so we can then multiply that by 5 shirts to get 70 seconds

Answer:

50

Step-by-step explanation:

x + 30 = 180 - 2x   [vertically opposite angles]

x = 180 - 30 - 2x

x = 150 - 2x

x + 2x = 150

3x = 150

x = 150/3

x = 50

Hello there!

Law of Exponent

[tex] \displaystyle \large{ {a}^{ \frac{m}{n}} = \sqrt[n]{ {a}^{m} } }[/tex]

The first problem asks us to write the cube root of 17 in exponential form. Refer the exponent's law above.

[tex] \displaystyle \large{ \sqrt[3]{17} = \sqrt[n]{ {a}^{m} } }[/tex]

Compare the terms.

Hence,

[tex] \displaystyle \large{ \sqrt[3]{17} = {17}^{ \frac{1}{3} } }[/tex]

The second problem asks us to write 13^{1/2} in radical form. Refer the law above.

[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = {a}^{ \frac{m}{n} } }[/tex]

Compare the terms.

Hence,

[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = \sqrt{13} }[/tex]

Conclusion

Let me know if you have any questions!

Topic: Exponent / Fractional Exponent and n-th root /

Answer:

Assuming this is the full problem.

3x^2-8x+4

Step-by-step explanation:

1. ∠A and ∠B are complementary

2. ∠A + ∠B = 90° and ∠B + ∠C = 90°

3. ∠A = 90° - ∠B

4. ∠C = 90° - ∠B

5. ∠A ≅ ∠C

Answer:

Step-by-step explanation:

1 2/4

Well an easy way to solve this would be multiply it by 6. 1*6=6 and 4*6=24.

That would be enough for 6 people. Or you could do. 1/4+1/4+1/4+1/4+1/4+1/4 and get the same answer.

Hope this helps and if possible brainliest please?

Answer:

x² + 10x - 24

Step-by-step explanation:

Given the roots are x = - 12 and x = 2 then the corresponding factors are

(x + 12) and (x - 2) and their product equals zero , that is

(x + 12)(x - 2) = 0 ← expand using FOIL

X² + 10X - 24 = 0

Step-by-step explanation:

(16-8)x(2+4)

= 8x(6)

= 8x6

= 48

Answer:

A. Selection Bias

Step-by-step explanation:

Selection bias is the bias introduced by the selection of individuals, groups, or data for analysis in such a way that proper randomization is not achieved, thereby ensuring that the sample obtained is not representative of the population intended to be analyzed. This is represented by choosing the students without glasses.

Answer:

selection bias

Step-by-step explanation:

i got it right

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:

100-10=90%=SP

[tex]\\ \sf\longmapsto 90\%\times x=450[/tex]

[tex]\\ \sf\longmapsto \dfrac{90}{100}x=450[/tex]

[tex]\\ \sf\longmapsto x=450\times \dfrac{100}{90}[/tex]

[tex]\\ \sf\longmapsto x=5(100)[/tex]

[tex]\\ \sf\longmapsto CP=500[/tex]

Based on the information given, the value of x is 28 which means that Rovers scored 28 goals.

Number of goals scored by Rovers = x

United scored 8 goals more than rovers. This will be = x + 8

City scored 3 goals less than twice the number of goals scored by rovers. This will be: = 2[x} - 3 = 2x - 3

Since the three teams scored a total of 117 goals, this will be:

x + x + 8 + 2x - 3 = 117

Collect like terms

4x = 117 - 8 + 3

4x = 112

x = 112/4

x = 28

The value of x is 28

Read related link on:

https://brainly.com/question/24424070

Answer:

Answer: 6m+4n=32

Step-by-step explanation:

m=4

n=2

From this, we can deduce that m+n=32.

6*4=24 and 4*2=8. 24+8=32

So, 6m+4n=32. Hope this was what you were looking for!

Answer:

(x - 4)³

Step-by-step explanation:

"The cube of x" would be x³.  The difference of a number and 4 would be x - 4.

Therefore, "the cube of the difference of a number and 4" would be

(x - 4)³

Answer:

There are 600 students in this school.

Step-by-step explanation:

Let p represent the total population of the school.

Then (1/3)p represents the number of students who like math.  Subtracting this (1/3)p from p gives an expression representing those who do not like math:  

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

400 students do not like math, so (2/3)p = 400.

Solve this for p by multiplying both sides by (3/2):

(3/2)(2/3)p = (3/2)(400), which simplifies to p = 600.

There are 600 students in this school.

Answer:

r=-1

Step-by-step explanation:

6-r+3r=4

or, 6+2r=4

or, 2r=-2

or, r=-1

Answer

(3.5 times 5.25) times 4

Step-by-step explanation:

then convert the decimal to a fraction.

Answer:

here you go mate.

These are the solutions

Answer:

B

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log (xy)

[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]

Given

[tex]log_{4}[/tex] (x + 3) + [tex]log_{4}[/tex] x = 1 , then

[tex]log_{4}[/tex] x(x + 3) = 1

x(x + 3) = [tex]4^{1}[/tex] = 4

x² + 3x = 4 ( subtract 4 from both sides )

x² + 3x - 4 = 0 ← in standard form

(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

However, x > 0 , thus x = 1

Answer:

5130

Step-by-step explanation:

You just multiply 513 by 10 to get 5130.

You can check this answer by just seeing if it fits the requirements, which it does. Making it the correct answer.

Answer:

6

Step-by-step explanation:

6 decimal places

0.005011 has six decimal places.

'The place value of a decimal number is recognized according to the position of the dot or decimal point. The first digit to the right of the decimal point indicates the number of tenths and the second digit to the right indicates the number of hundreths.'

According to the given problem,

For the number 0.005011, after the decimal there are numbers up to the sixth place which is that there are six numbers.

For counting decimal places, we need to count the number of digits present to the right of decimal point.

Hence, we can conclude that 0.005011 has 6 decimal places.

Learn more about decimal places here:

https://brainly.com/question/26568840

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