17) y=-2(x-3)^2+8
Vertex: ____
Y-intercept(plug-in 0): ____

18) y=4x^2-8x-5
a=__ b=__ c=__

1. Circle: Graph upwards/downwards

2.Vertical Axis of Symmetry
X=-b/2a
X=__

3.Vertx (plug in axis of symmetry):

4. Y-intercept (plug in 0):(0,_)

5. X-intercepts (Solve by any method):

X=__,__

6.Graph the equation below:

Answer:

B

Step-by-step explanation:

its b bc its inclusive and rhe others font make much sense

5(p+5) + 6(p+6)

First step: Distribute  (PEMDAS --> Parenthesis)

5p + 25 + 6p + 36       Now, combine like terms

11p + 61

Thus, the answer is 11p + 61

[tex]5(p+5)+6(p+6)\\\\=5p+25+6p+36\\\\=11p+61[/tex]

Answer:

x = 12 cm

y = 2 cm

Step-by-step explanation:

Length is G are 3 times the lengths in H.

Lengths in H are 1/3 the lengths in G.

x = 3 × 4 cm = 12 cm

y = 6 cm / 3 = 2 cm

Answer:

50 g

Step-by-step explanation:

Answer:

C.) 5 * 4^n-1

Step-by-step explanation:

Use the given method you use for finding the sequence with the terms.

Also K12 moment.

If it's wrong, please forgive me, I'm in the middle of the test as well.
I checked and I'm 99% sure this is the answer

Hope this helped despite being a little late!

Answer:

5.5

Step-by-step explanation:

6 x 5.5 = 33

The solution for r is 5.5

Answer:

r = 5.5

Step-by-step explanation:

6r=33

1. divide both sides by 6

6/6=1

33/6= 5.5

2. r=5.5

Answer:

x = -8

Step-by-step explanation:

I will show each step algebraically. If you need further explanation, feel free to ask questions :)

[tex]\frac{x}{2} +7=3\\[/tex]                     Rewrite

[tex]\frac{x}{2} =-4[/tex]                        Subtract 7

[tex]x =-8[/tex]                        Multiply by reciprocal (2/1)

I hope this helps!

Answer:

X = -8

Step-by-step explanation:

So we will start with subtracting 7 from 3, which is -4.

So now you have x/2 = -4

Now we have to find what divided by 2 equals -4 so, we do 2 x -4, which is -8.

This is how we get our answer, x = -8

Answer:

480 [tex]cm^2[/tex]

Step-by-step explanation:

8 x 6 x 10

Length x Width x Height.

Answer:

Assuming the question is how much interest you will pay in the given time frame with the given terms.

Step-by-step explanation:

Borrowed $300

18% per yr = 18/12 = 1.5% per month

You borrowed for 6 months so you will end up paying 1.5%*6 =9% in interest

$300*(9% or 0.09) = $27 in interest paid + $300 in principal paid if paid off in 6 months.

Total $327.

If this was an economics class you would also have to factor in the depreciation of the principal amount month to month with minimum payments but I am guessing this is just a basic question so the above answer is correct enough.

Answer:

31° F

Step-by-step explanation:

Although it is hard to see, Saturday's low temperature is approximately 31°. This is evident in its relative position to Friday's temperature, which measures 30° F -- Saturday is just one degree higher.

Hope this helps!

Answer:31

Step-by-step explanation:

Answer: the center is (-5, 5) and the radius is 15

Step-by-step explanation:

the standard form of a circle is

(x-h)^2 + (y-k)^2 = r ^2 where h is the x coordinate and k is the y coordinate of the center of the circle

(h,k) = the center of the circle

r = radius

therefore,

(x+5)^2 + (y-5)^2 = 225 means that x has to be -5 since subtracting a negative creates a positive and y must be 5 as it is negative in the equation

think of it as making the sum/difference 0 within the parentheses:

(x+5) -5+5 = 0 so x=-5

(y-5) 5-5 = 0 so y =5

so the center of the circle is (-5,5)

the radius is simply 225 square rooted which is 15

hope this helps :)

Answer:

2:4 3:6 and 8:2, and 4:1 are equivalent pairs of ratios.

2 : 4 and 3 : 6 are an equivalent pair of ratios.

( to find equivalent ratios just multiply or divide both quantities by the same number. )

Answer:

Step-by-step explanation:

This is a parabola shaped like a U.

The minimum value is at (-2, -3).

Find the zeroes:

(x + 2)^2 = 3

Find the zeroes:

x + 2 = +/- √3

x = +/-√3 - 2

x = -0.27, -3.73.

So the graph cuts the x axis at (-0.27, 0)  and (-3.73, 0)

when x = -4 , f(x) = 1 and when x = 1,  f(x) =  6.

So you can now draw the curve through these 5 points and it will be shaped like a U, symetrical about the line x = -2

Answer:

A:60.14

B:3,379.95

Step-by-step explanation:

I assume that .007 is supposed to be .07

56.07*1.0725=60.14

B.

36.25 is 1.0725 of ...

3,379.95

36.25 * 0.010725

The constant rate = 20 ft / 5 seconds = 4 feet per second

Find the chart that shows an increase of 4 feet for every second the balloon travels.

The height of the balloon over time is modeled by the linear equation y = 4x, so, the accurate choice is option D.

A linear equation arises when multiple variables are connected, resulting in a linear model when graphed. This model is characterized by having a degree of one for each variable involved.

Imagine a hot air balloon taking off from the ground, ascending at a consistent speed. After 5 seconds, its altitude reaches 20 feet. The balloon maintains this rate of ascent.

The rate per second is calculated as follows:

m = 20/ 5

m = 4 ft/sec

Consequently, the equation is formulated as:

y = 4x

For x = 10 seconds, the corresponding y value will be:

y = 4 × 10

y = 40 ft

Similarly, for

x = 20 seconds:

y = 4 × 20

y = 80 ft

Hence, the linear equation representing the balloon's height over time is

y = 4x. The accurate option among the choices is D.

Find out more on linear equation here: https://brainly.com/question/2030026

#SPJ3

Answer:

Step-by-step explanation:

The first two steps solved and the last step to be performed

Solve the quadratic equation

The solution is:

Correct choice is C

Solving from step 3

Option C

Answer:

825km

Step-by-step explanation:

150km/h= distance/11/2 hours

150km/h divide by 11/2 hours

=825km

Answer:

825km

Step-by-step explanation:

We have the rule: speed=distance/time

in this question you are asked to calculate the distance covered by the machine boat.

so we deduce from the above rule: distance=speed*time

Given: speed=150km/hr    time=5.5hr   distance=??

Solution: distance=150x5.5 = 825km

Answer:

it has three lines of symmetry

Step-by-step explanation:

Answer:

one line of symmetry

Step-by-step explanation:

All i know is that 1 is the fourth option and 3 is the last option. I would assume 2 is the first option, 4 is the second option, 5 is the fifth option, and 6 is the third option, but be sure to check yourself. I hope this helps!

Answer:

slope = 2/3     y intercept = 8/3

Step-by-step explanation:

re-arrange to slope intercept form    y = mx + b

3y = 2x + 8

y = 2/3 x + 8 / 3  

Answer:

[tex]Slope=\frac{2}{3}[/tex]  

[tex]Y-Intercept=\frac{8}{3}[/tex]

Hope This Helps! :)

Answer:

Step-by-step explanation:

A. 2 + -1 - 1^2 = 1 - 1 = 0

B. 2^3 - -1 + 1 = 8 + 1 + 1 = 10.

C. 2 - -1 - 1 = 2 + 1 - 1 = 2.

=2+(-1-1)^2

=1-1

=0

2^3-(-1+1)

=8+1+1

= 10

2-(-1-1)

=2+1-1

=2

Answer: 35, 35, 70, and 220

Step-by-step explanation:

– Let x = size of one of the two equal angles

The sum of angles in a quadrilateral is 360:

360 = x+ x + ( x+x ) x (2( x+ x+ x+x ) – 60)

360 = 4 + 2(4 ) – 60

360 = 4 + 8 – 60

360 = 12 – 60

12x = 420

= 35

Substituting x for 35, will get: 35, 35, 70, 220

The values of the angles are 35°, 35°, 70° and 220°

Answer:

5 inches : 6 inches

Step-by-step explanation:

20 inches : 2 feet

Use Hint: 1 feet = 12 inches

20 inches : 2·12 = 24 inches

Find the simplest form of 20 inches : 24 inches

20 inches : 24 inches , divide both numbers by 2

10 inches : 12 inches, divide both numbers by 2 again

5 inches : 6 inches

Answer:

9.03

Step-by-step explanation:

the formula is V=pir2h

(pi, radius squared, and height)

Answer:

x = 17

Step-by-step explanation:

3x - 1 / 5 = 10

3x - 1 = 5 * 10

3x = 50 + 1

x = 51/ 3

x = 17

Multiplying z₁ and z₂ involves calculating their products

The product of z₁ and z₂ is r₁r₂(cos(Θ₁ + Θ₂) + isin(Θ₁ + Θ₂))

The numbers are given as:

z₁ = r₁(cosΘ₁ + isinΘ₁)

z₂ = r₂(cosΘ₂ + isinΘ₂)

The product is represented as:

z₁ * z₂ = r₁(cosΘ₁ + isinΘ₁) * r₂(cosΘ₂ + isinΘ₂)

This gives

z₁ * z₂ = r₁r₂(cosΘ₁ + isinΘ₁) (cosΘ₂ + isinΘ₂)

Expand

z₁ * z₂ = r₁r₂(cosΘ₁cosΘ₂ + icosΘ₁sinΘ₂+ isinΘ₁cosΘ₂  + i²sinΘ₁sinΘ₂ )

In complex numbers,

i² = -1.

So, we have:

z₁ * z₂ = r₁r₂(cosΘ₁cosΘ₂ + icosΘ₁sinΘ₂+ isinΘ₁cosΘ₂  - sinΘ₁sinΘ₂ )

Rewrite as:

z₁ * z₂ = r₁r₂(cosΘ₁cosΘ₂  - sinΘ₁sinΘ₂ + icosΘ₁sinΘ₂+ isinΘ₁cosΘ₂  )

Apply sine and cosine ratios

z₁ * z₂ = r₁r₂(cos(Θ₁ + Θ₂) + isin(Θ₁ + Θ₂))

Hence, the product of z₁ and z₂ is r₁r₂(cos(Θ₁ + Θ₂) + isin(Θ₁ + Θ₂))

Read more about complex numbers at:

https://brainly.com/question/10662770

Answer:

75%

Step-by-step explanation:

It's over 50% and it's definitely not 100%