6) 4n - 8 = -2n + 5n

7. 197=8(1-4a)+5a

i did this last year lol ;-;

The function h(x) is h(x)=5/4 x² - 5/2 x.

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.

Here, vertex is (h, k)=(0, 0) and coordinate point is (x, y)=(-2, 5)

So, 5=a(-2-0)²+0

5=4a

a=5/4

Substitute, a=5/4 and (h, k)=(0, 0) in vertex form we get

f(x)= 5/4 x²

Equation of straight line with coordinates (-2, 5) and (0, 0) is

Slope m=5/2

Substitute, m=5/2 and (x, y)=(0, 0) in y=mx+c we get

0=5/2(0)+c

c=0

Substitute, m=5/2 and c=0 in y=mx+c we get

y=5/2 x

So, g(x)=5/2 x

Now, h(x)=f(x)-g(x)

h(x)=5/4 x² - 5/2 x

h(x)=5/2 x(1/2 x-1)

1) h(x)=0

5/2 x(1/2 x-1) =0

1/2 x-1=0

1/2 x=1

x=2

2) For x=2, h(x) is 0

3) Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Therefore, the function h(x) is h(x)=5/4 x² - 5/2 x.

To learn more about the quadratic function visit:

https://brainly.com/question/27918223.

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Answer:

A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers. The denominator in a rational number cannot be zero. Expressed as an equation, a rational number is a number. a/b, b≠0. where a and b are both integer

Step-by-step explanation:

All rational numbers are algebraic. ...

The quadratic surds (irrational roots of a quadratic polynomial ax2 + bx + c with integer coefficients a, b, and c) are algebraic numbers. ...

The constructible numbers are those numbers that can be constructed from a given unit length using straightedge and compass. ...

Answer:

A rational number can be divided by two integers

1.5~Is a rational number because it = 3/2~

~3 and 2 are both integers~

Answer:

What are the answers?

Step-by-step explanation:

Answer:A, D, E

Step-by-step explanation:

ΔJKL and ΔJKM are similar triangles and ΔJKL and ΔKML are similar triangles. Therefore, options A and B are the correct answers.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure, ΔJKL, ΔJKM and ΔKML are right angle triangles.

Now, consider ΔJKL and ΔJKM

∠JMK=∠JKL (Measure of angle is equal to 90°)

∠KJM=∠KJL (Reflexive property)

ΔJKL and ΔJKM are similar triangles

Consider ΔJKL and ΔKML

∠KML=∠JKL (Measure of angle is equal to 90°)

∠JLK=∠MLK (Reflexive property)

ΔJKL and ΔKML are similar triangles

Therefore, options A and B are the correct answers.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

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Answer: 9

Step-by-step explanation:

Since x=2 that means there should be 2 3s being multiplied since it’s 3 to the second power. So 3x3 which equals 9. If this answer helped please mark it brainliest!

Answer:

the last option, 9

Step-by-step explanation:

if x=2 then you would just plug x into the equation to get:

y=3^2 or 3 squared and that's just:

3x3 which is

9

So your answer would be 9

I hope this helps! blessings, have a lovely day/night, xo, nm :) <3

Answer:

-3

Step-by-step explanation:

the slope is -3 because it goes down 3 y for every 1 forward on x

Answer:

[tex]m=-3[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, -3)

Point (-1, 3)

Step 2: Find slope m

Answer:

x is 2 and 6 is y

Step-by-step explanation:

Answer:

7/30

Step-by-step explanation:

5/6 = 25/30  3/5 = 18/30

25/30 - 18/30 = 7/30

Sas gives 7/30 of the ribbon to her sister.

Hope this helps! :3

A second basket has 6 spas--- I think you mean 6 soaps , so i will work with that

Answer:it is not possible to determine the price of the soap with the information given.

Step-by-step explanation:

Let s0ap be represented as x

and lotion be represented as y

2 soaps and 5 lotions costing  $20 gives us equation 1 as

2 x+ 5y= 20-------- equation 1

second basket with 6 soaps and 15 lotions and costing $60 gives us equation 2 as

6x + 15y= 60------equation 2

Step 2 -- Solving

2 x+ 5y= 20-------- equation 1

6x + 15y= 60--------equation 2

BY elimination method, we  multiply equation 1 by (3)

2x + 5y= 20  x (3)

6x + 15y=60-------equation 3

Subtraction of equation 3 from equation 2 gives us

6x + 15y=60-------equation 3

-6x + 15y= 60--------equation 2

0x +0y=0  which is no solution

Therefore it is not possible to determine the price of the soap

Answer:

4-4x

Step-by-step explanation:

From the parallelogram

CE = CA+AE

Since CA = -AC

CE = -AC+AE

GIVEN

AC = 6x

AE= 2x+4

Substitute

CE = -6x+2x+4.

CE = -4x+4

Gene the length of CE is 4-4x

Answer:

16=x becuase 16/4 also =4 and 4+2=6 may  i have brainliest plzz

Step-by-step explanation:

i

Answer:

a=4 b=5

Step-by-step explanation:

Answer:

a=4 b=5

Step-by-step explanation:

Answer:

our width is 9 and our length is 14

Step-by-step explanation:

Answer:

288 !

Step-by-step explanation:

Answer:

the absolute value of 5/6 is 5/6

Step-by-step explanation:

absolute value is just the distance from zero on a number line, so it just makes whatever number under the | x | the same number but positive.

Answer:

5/6 is the same you dont change it unless its negative

Step-by-step explanation:

If the fraction is positive, it is its own absolute value. If the fraction is negative, remove the negative sign. That is the absolute value. In other words, the absolute value of 1/7 is 1/7, and the absolute value of -5/8 is 5/8.

HOPE THIS HELPS HAVE A NICE DAY .............:...:..........

                                                                ..............U............

Answer:

12

Step-by-step explanation:

12 divided by 3 = 4

4x3= 12

Answer:

48

Step-by-step explanation:

12 divided by 3 equals 4

so then I multiplied 12 x 4 to get 48

Answer:

y= 1 1/2x-1/2

Step-by-step explanation:

Answer:  t=r/d-200

Step-by-step explanation:

d-200=r/t+200-200

t*(d-200)=r/t*t

t(d-200)/(d-200)=r/d-200

t=r/d-200

Answer:

I think its 8 but I'm not positive sorry if I'm wrong!

Step-by-step explanation:

The Y-intercept is when the line of the graph crosses through the y intercept

Answer:

32

Step-by-step explanation:

can't find N

Answer:

d=-210

Step-by-step explanation:

multiply 15 to both sides

-14*15 =-210

the 15 on the side with d cancels

Now you have d=-210

Hope this helps!

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Follow the following steps

[tex]4.3x - 6 = 2.3x + 8 \\ - 2.3x \: \: \: \: \: \: \: \: \: - 2.3x \\ 2x - 6 = 8 \\ + 6 \: \: \: \: + 6 \\ 2x = 14 \\ \div 2 \: \: \div 2 \\ x = 7[/tex]

Answer:

124.6

Step-by-step explanation:

Answer:

Thus, the surface area of a cylinder involving pie is:

[tex]\:\:\:A=36\pi \:[/tex] in²

or

[tex]A\approx 113.1[/tex] in²

Step-by-step explanation:

Given

Using the formula to determine the surface area of a cylinder:

[tex]A=2\pi \:rh+2\pi \:r^2[/tex]

[tex]A=\left(2\times \pi \times \:2\times 7\right)+\left(2\times \pi \times \:2^2\right)\:[/tex]

[tex]\:\:\:A=36\pi \:[/tex] in²

Thus, the surface area of a cylinder involving pie is:

[tex]\:\:\:A=36\pi \:[/tex] in²

or

[tex]A\approx 113.1[/tex] in²

Answer:

You got a higher score on your math test.

Step-by-step explanation:

100/10= 10 so 3/10 turns into 30/100 so if you got three wrong that’s 30 points off so you scored a 70%. While on the other test, 100/4=25 so each question is worth 25 points if you miss one you get a 75%. Making that higher score.

Answer:

20%.

1.2/1.5 = 0.8

0.8*100 = 80%

100%-80% = 20%.

We can verify this:

1.5-20% = 1.2.

Answer: 20%

Step-by-step explanation:

Answer:

64 in³

Step-by-step explanation:

8 x 4 = 32, 32 x 2 = 64 :D