Hector purchased a used car and the graph below shows the number of miles on the car since he bought it. Which of these is a correct statement based on the graph

Answer:

3x² - 21x + 30

Step-by-step explanation:

y = 3(x - 5)(x - 2) ← expand factors using FOIL

  = 3(x² - 7x + 10) ← distribute parenthesis by 3

y = 3x² - 21x + 30 ← in standard form

Answer:

complementary

55 degrees

Step-by-step explanation:

ABC and CBD are complementary angles which means that their sum is 90 degrees

90 - 35 = 55 degrees

Answer:

2 2/3 (first)

Step-by-step explanation:

-2 1/3 is the same as -7/3.

-(-) means plus, so you add 5

5 = 15/3

-7/3 + 15/3 = 8/3 = 2 2/3

Answer:

I'm not sure exactly what you're looking but I would set up the equation like this.

y=65+5.5x   for Ned's equation

y=8.75x       for Jack's equation.

Step-by-step explanation:

This is in y=mx+b format, hopefully it helps!

Answer:

B. 3 + 5i

Step-by-step explanation:

-2i + (9 - 3i) - (6 - 10i) =

= - 2i + 9 - 3i - 6 + 10i

= 5i + 3

= 3 + 5i

Answer:

c = 3

Step-by-step explanation:

Given

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{c^2-4}[/tex] ← factor the difference of squares

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{(c-2)(c+2)}[/tex]

Multiply through by (c - 2)(c + 2) to clear the fractions

2(c + 2) - 3(c - 2) = 7 ← distribute and simplify left side

2c + 4 - 3c + 6 = 7

- c + 10 = 7 ( subtract 10 from both sides )

- c = - 3 ( multiply both sides by - 1 )

c = 3

Answer:

Step-by-step explanation:

Intersecting chords theorem:

Substitute and solve for x:

Answer:

Given:

KQ:3

NQ:2

MQ:8

QL:3x

According to theorem of intersecting chords

NQ×QL=QM×QK

now=

Substituting value

2×3x=8×3

x=24/6

x=4 is a required answer.

Given:

The length between points on a map is 6 inches, 8 inches, and 9 inches.

The scale is one inch equals 5 miles.

To find:

The distances in miles.

Solution:

The given scale is:

1 inch = 5 miles

Using this scale, we get

6 inches = 6 × 5 miles

               = 30 miles

8 inches = 8 × 5 miles

               = 40 miles

9 inches = 9 × 5 miles

               = 45 miles

The distance is miles are 30, 40, 45 miles.

Therefore, the correct option is C.

Answer:

27

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

300 divide by 60. the answer is 20 percent

Answer:

( x + 5 )² + ( y - 8 )² = 25

Step-by-step explanation:

Standard form for the equation of a circle - ( x - h )² + ( y - k )² = r²

Where r = radius and Center is located at ( h , k )

We are given that the center is at ( -5 , 8 )

Thus, h = -5 and k = 8

We are also given that the radius = 5

Thus, r = 5

Now we just plug all of the given values into the standard form equation

( x - (-5))² + ( y - 8 )² = 5²

*simplify*

in - ( - 5 ) the two negative sign cancel out and it turns into + 5

5² = 25

Thus, the equation is ( x + 5 )² + ( y - 8 )² = 25

Answer:

The y-intercept is (0,0) or the origin, it's basically the point that intercepts the line of y.

Answer:

0

Step-by-step explanation:

I think 0...

...

...

...

Hope this helps <3

hehe it hit 0 and it is on y so uhh yeah...

Step-by-step explanation:

If 3.25m is equal to 15kg then what about 1m?

3.25m = 15kg

1m =?

Then by cross multiplication we get 4.615 kg

Answer:

216 cm^2.

Step-by-step explanation:

Surface area = 2 * area of triangular sides + area of 3 rectangles

= 2 * 1/2 * 6 * 8 + 8*7 + 6 * 7 + 10*7

= 48 + 56 + 42 + 70

= 216.

Answer:

216cm^2

Step-by-step explanation:

The surface area is equal to the sum of areas of the walls.

We've got 2 triangular walls with area 6*8/2, for 6*8 = 48cm^2 total

We've got a wall with 7x10 = 70cm^2

We've got a wall with 6x7 = 42cm^2

And the last wall is 8x7 = 56cm^2

So total surface area is: 48 + 70 + 42 + 56 = 216

Answer:

Option 2 : m∠1 = 67.4°, m∠2 = 104.5°

Step-by-step explanation:

Lets find the measure of angle 2 first:

180° - 17.3° - (180° - 121.8°) = Angle 2

                             ↑

             Angle of the straight line = 180°

             The angle should be 180 - 121.8

Angle 2 = 104.5

At this point the only answer that works is the second option, but let's still work out Angle 1

Angle 1 :

Theory of opposite angles state that the opposite angles inside a triangle = the exterior angle

in this case:

Angle 1 + 37.1 = Angle 2

Since we know angle 2 = 104.5, lets solve

Lets say angle 1 = x

x + 37.1 = 104.5

x = 104.5 - 37.1

x = 67.4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The measures of ∠ 1 and ∠ 2.

[tex]{\boxed{\mathcal{\red{Angle\: 1 \:=\: 67.4° \:}}}}[/tex]✅

[tex]{\boxed{\mathcal{\red{Angle\: 2\:=\:104.5° \:}}}}[/tex]✅

We know that,

[tex]\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

✒ ∠ x + 121.8° = 180°

✒ ∠ x = 180° - 121.8°

✒ ∠ x = 58.2°

Now,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ ∠ 2 + 17.3° + 58.2° = 180°

➪ ∠ 2 + 75.5° = 180°

➪ ∠ 2 = 180° - 75.5°

➪ ∠ 2 = 104.5°

[tex]\boxed{Therefore,\:the\:measure\:of\:∠\:2\:is\:104.5°.}[/tex]

Again,

[tex]\sf\blue{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

➵ ∠ 2 + ∠ y = 180°

➵ 104.5° + ∠ y = 180°

➵ ∠ y = 180° - 104.5°

➵ ∠ y = 75.5°

Finally, we have

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

⇢ ∠ 1 + 75.5° + 37.1° = 180°

⇢ ∠ 1 + 112.6° = 180°

⇢ ∠ 1 = 180° - 112.6°

⇢ ∠ 1 = 67.4°

[tex]\boxed{Therefore,\:the\:measure\:of\:∠\:1\:is\:67.4°.}[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

Answer:

14 min on Stairmaster

16 min on Bike

Step-by-step explanation:

s = time on Stairmaster

b = time on bike

System of Equations:

s + b = 30

7s + 12b = 290

let 's' = 30-b

Substitution Method:

7(30-b) + 12b = 290

210 - 7b + 12b = 290

5b + 210 = 290

5b = 80

b = 16

s + 16 = 30

s = 14

Answer:

its the 4 on the number line under her name

==================================================

We're asked to find the slope:

m = slope

m = (y2-y1)/(x2-x1)

m = (50-20)/(4-2)

m = 30/2

m = 15

The rate of change is 15. Each time x goes up by 1, y increases by 15.

slope = rise/run = 15/1

rise = 15, run = 1

I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.

Answer:

[tex]f(n) = 4n^2 + 4[/tex]

f(1) = 4 x 1 + 4 = 4 + 4 = 8

f(2) = 4 x 4 + 4 = 16 + 4 = 20

f(3) = 4 x 9 + 4 = 36 + 4 =40

f(4) = 4 x 16 + 4 = 64 + 4 = 68

Answer:

r = [tex]2\sqrt{5}[/tex]

[tex](x - 3)^{2} + ( y - 2)^{2} = 20[/tex]

Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

[tex]r^{2}[/tex] = [tex]{(3 - 5)^{2} + (2 + 2)^{2} }[/tex]

    =  [tex](-2)^{2} + 4^{2}[/tex]

    =  4 + 16 = 20

r = [tex]\sqrt{20 } = 2\sqrt{5}[/tex]

Equation of circle:   [tex](x - 3)^{2} + ( y - 2)^{2} = 20[/tex]

Answer:

Radius: [tex]2\sqrt{5}[/tex]

Equation of circle: [tex](x-3)^2+(y-2)^2=20[/tex]

Step-by-step explanation:

The radius of a circle is equal to the distance between the center of the circle and any point on the circle. Therefore, we have:

[tex]r=\sqrt{(5-3)^2+(2-(-2))^2},\\r=\sqrt{2^2+4^2},\\r=\sqrt{20}=\boxed{2\sqrt{5}}[/tex]

The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex].

What we know:

Substituting known values, we get:

[tex](x-3)^2+(y-3)^2=(2\sqrt{5})^2,\\\boxed{(x-3)^2+(y-2)^2=20}[/tex]

Answer:

The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.

Step-by-step explanation:

Answer: 24x + 8x - 80

Step-by-step explanation: ohh its right

Answer:

The answer 168.75 without rounding and rounding its also 168.75

Let A : getting an odd number (i.e. 1,3 or 5), B: getting a number greater than 4 (i.e 5 or 6) . So, the required probability is  P(A∪B)=P(A)+P(B)−P(A∩B)=36+26−16=46=23

Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

D none of them hope this helps

Answer:

The answer is B. t = StartStartFraction 2.01 minus 2 OverOver StartFraction 0.893 Over StartRoot 5 EndRoot EndFraction EndEndFraction. The P-value is greater than 0.25.

Step-by-step explanation:

EDGE 2021

Answer:

9^5×4^3

Step-by-step explanation:

9 has to multiply itself 5 times and 4 has to multiply itself 3 times

Answer:

[tex]9^{5}[/tex] × 4³

Step-by-step explanation:

9 is multiplied by itself 5 times and 4 is multiplied by itself 3 times.

This is expressed in index form as

[tex]9^{5}[/tex] × 4³

Answer:

I think the answer would be 287?

Step-by-step explanation:

Answer:

3?

Step-by-step explanation:

Answer: a.) 18 x 8

Step-by-step explanation: if you break down the equation 6^3= 18 and 4^2=8 then take 18x8 simple as that