A car is at a distance s, in miles from its starting point in t hours, given by s(t)=10t^2. Find s(2) and s(5). Find s(5)-s(2). What does this represent? Find the average rate of change from t=2 to t=5. This is the average velocity

Answer:

Sum= -12

Product=32

Step-by-step explanation:

[tex]x^2+12x+32=0[/tex]

By factorization, we get

[tex]x^2+4x+8x+32=0\\x(x+4)+8(x+4)=0\\(x+4)(x+8)=0\\[/tex]

Therefore, the roots of the equation are = -4,-8

Sum of the roots =[tex]\alpha+\beta =\frac{-b}{a}[/tex]

[tex]\alpha +\beta[/tex]=[tex]-8-4=-12[/tex]

Product of the roots=[tex]\alpha \beta =\frac{c}{a}[/tex]

[tex]\alpha \beta =8*4=32[/tex]

Answer:

z=8

Step-by-step explanation:

6z=48

divide by 6

6z/6=48/6

z=8

Answer:

x=8

Step-by-step explanation: Divide six on both sides and that should give you 8 as your answer.

Answer:

m+22-22=30-22

m=8

7/7 y=28/7

y=4

12-12+3p=-3-12

3p=-15

3/3 p=-15/3

p=-5

Answer:

(5,9)

(-19, - 15)

(5, - 15)

(-19, 9)

Step-by-step explanation:

Given that :

Coordinate of point A = - 7, - 3

Number of points between point A and B = 12

Possible coordinate of point B

Possible coordinates of point B:

(-7, - 3) + 12 = (5, 9)

(-7, - 3) - 12 = (-19, - 15)

(-7, - 3) = (-7 +12, -3 - 12) = (5, - 15)

(-7, - 3) = (-7 - 12, - 3 + 12) = (-19, 9)

Hence possible coordinates of be are :

(5,9)

(-19, - 15)

(5, - 15)

(-19, 9)

Answer:

Hey there!

Angle x is equal to 148 degrees because it is supplementary with the angle of  32 degrees.

Let me know if this helps :)

Answer:

it will also be 29°

Step-by-step explanation:

LDAB will be also 29° cuz D is the bisector and at the top the two lines resembles that. So if CAD is 29° then DAB will be also 29°

I hope so it will help ✨

The angle ∠DAB will be equal to 29 degrees.

The line or line segment that divides an angle into two equal halves is known as the internal angle bisector or (interior) bisector. An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively.

Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.

Given that in triangle ABC the angle ∠CAD is 29°. Then the angle will be calculated as below:-

The line AD is an angle bisector at point A of the triangle. Then the two angles ∠CAD and ∠DAB will be equal to each other.

∠CAD = ∠DAB

∠CAD = 29°

Therefore, the angle ∠DAB will be equal to 29 degrees.

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Answer: B Their slopes are equal.

Step-by-step explanation:

Two line segments are parallel if and only if their slopes are equal.

Option B is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Two line segments are parallel if and only if their slopes are equal.

If the slopes of two lines are equal, then they have the same steepness and will never intersect.

However, if the slopes are different, the lines will intersect at some point, and they will not be parallel.

Thus,

Two line segments are parallel if and only if their slopes are equal.

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Answer:what I don’t even know sorry that I wasted you time but if you stay and keep reading it might be important

So how do I switch accounts or log out hopefully you chose to keep reading I got you good and wasted your time

Step-by-step explanation:

Answer:

u = [tex]-\frac{1}{2}[/tex]   ;  u = [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

4u² + 3 = -8u

4u² + 3 + 8u = -8u + 8u       (add 8u both sides)

4u² + 8u + 3 = 0                    simplify

using quadratic equation:

      - 8 ± √ (8² - 4 * 4 *3)

u = ------------------------------

               2 * 4

u = [tex]-\frac{1}{2}[/tex]   ;  u = [tex]-\frac{3}{2}[/tex]

Answer:

You can buy 8.18 gallons of milk.

Step-by-step explanation:

12.79/4.89 = 2.62

21.44/2.62 = 8.18

Answer:

250 km per hour

Step-by-step explanation:

In order to find the rate of the first train, we need to know that the distance between Omaha and Reedly is 750 km away and that it will move at 2 pm and arrive at the location at 5 pm. So, first subtract the hours from 5 to 2.  5 - 2 = 3

The train would arrive in 3 hours.. so we substitute 3 into the number of hours.

Distance = 750

km (kilometers per hour) = ?

Hours = 3

Now we should substitute the number values into the equation, it should look like this:  750 = km(3)

3 multiplied by the varible will be 3km because there is no coefficient for km.

750 = 3km

Then, we divide 3 by both sides to make the 3 into a one for km.

750 ÷ 3 = 3km ÷ 3

250 = km

The rate of first train is 165 mph.

We can frame the situation as

                    Distance      Rate      Time

First train                            x        3

Second train                      85        3

Now, using Distance= Speed x  time

                       Distance      Rate      Time

First train               3x           x              3

Second train       255          85            3

So, the equation is

3x+ 255 = 750

3x = 750 -255

3x =495

x= 165

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999

why becuase thats the answer mine had

Answer:

x= -9.5

Step-by-step explanation:

We want to find out what the variable, x, is equal to. Therefore, we must isolate the variable on one side of the equation.

-4.75 = x/2

x is being divided by 2. The inverse of division is multiplication. Multiply both sides of the equation by 2.

2*(-4.75) = (x/2)*2

2*(-4.75)=x

2* -4.75=x

Multiply 2 and -4.75

-9.5=x

Let's check our solution. Plug -9.5 back in for x and solve.

-4.75= x/2

-4.75= -9.5/2

-4.75= -4.75

This checks out, so we know our solution is correct.

x is equal to -9.5

Answer:

[tex]x = \frac{19}{2} [/tex]

Step-by-step explanation:

[tex] \frac{x}{2} = - 4.75[/tex]

First convert the decimal to an improper fraction

That's

[tex] - 4.75 = - \frac{19}{4} [/tex]

So we have

[tex] \frac{x}{2} = - \frac{19}{4} [/tex]

Cross multiply

4x = - 38

Divide both sides by 4

We have the final answer as

[tex]x = \frac{19}{2} [/tex]

Hope this helps you

Answer:

c because it will be half of it meaning you have to multiply rhem

The angle at the center subtend by the chord of the circle will be 50°. Then the correct option is C.

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The angle that the very same arc subtends at any point around the circle's periphery is the double of the angle that same arc subtends at the center.

The angle at the periphery is 25°.

Then the angle at the center of the circle will be double of the angle subtend at the periphery.

Central angle = 2 × 25°

Central angle = 50°

The angle at the center subtend by the chord of the circle will be 50°.

Then the correct option is C.

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Answer:

0+10i

Step-by-step explanation:

First, the square root of 100 is 10 because 10*10 is 100.

i=-1

Therefore, to get rid of the minus, it would be 10i

Since there is nothing else to solve,

the answer is 0+10i

Answer:

x≥3

Step-by-step explanation:

Treat the ≥ symbol like it is an equals sign. First, subtract 14x from each side to get 6x+12≥30. Then, Subtract 12 from each side to get 6x≥18. I will let you solve the rest :)

Answer:

[tex]\huge\boxed{C.\ x\geq3}[/tex]

Step-by-step explanation:

[tex]20x+12\geq14x+30\qquad\text{subtract 12 from both sides}\\\\20x+12-12\geq14x+30-12\\\\20x\geq14x+18\qquad\text{subtract}\ 14x\ \text{from both sides}\\\\20x-14x\geq14x-14x+18\\\\6x\geq18\qquad\text{divide both sides by 6}\\\\\dfrac{6x}{6}\geq\dfrac{18}{6}\\\\\boxed{x\geq3}[/tex]

Answer:

it should be the second one

Step-by-step explanation:

the only reason i kno this is because one side always has to be white

hope this helps

sorry if its wrong

the last graph i personally think this because of answer i got using desmos when i put in this problem. ( make sure the answer you click matches the last graph on this question i don't want you to get an incorrect answer because you didn't pay attention)  

Answer:

4 is the answer

Step-by-step explanation:

Answer:

hey

√18 = 4.242

Step-by-step explanation:

rounded = 4

Answer:

[tex]21y^{2} +4y-1[/tex]

Step-by-step explanation:

Hello!

[tex](12y^{2} +17y-4)+(9y^{2} -13y+3)[/tex]

For this, we can combine like terms

[tex]12y^{2} +9y^{2}=21y^{2}[/tex]

17y - 13y = 4y

-4 + 3 = -1

Combine the answers and we get

[tex]21y^{2} +4y-1[/tex]

Hope this Helps!

Answer:

21y² + 4y -1

Step-by-step explanation:

(12y² + 17y - 4) + (9y² - 13y + 3)  ---- remove parentheses

= 12y² + 17y - 4y + 9y² - 13y + 3

= 12y² + 9y² + 17y - 13y - 4 + 3  -----grouped like terms

= 21y² + 17y - 13y - 4 + 3

= 21y² + 4y - 4 + 3

= 21y² + 4y - 1

Answer: This equation has one solution.

Steps:

2+4(3-4x) = 5x +9

First, we need to distribute to the terms inside the parentheses.

4 * 3 = 12   and   4 * -4= -16x

Our equation now looks like this:

2 + 12 - 16x = 5x + 9

We can now combine like terms. We have 2 like terms that we can combine:

2 + 12 + = 14

Our equation now looks like this:

-16x + 14 = 5x + 9

We can now use inverse operations to get rid of 5x. The inverse operation for addition is subtraction; so we subtract 5x on both sides. Remember, our goal is to isolate the x.

-16x + 14 = 5x + 9

-5x          -5x

The fives cancel out. Our equation now looks like this:

-21x + 14 = 9

We can now use inverse operations to get rid of the 14:

-21x + 14 = 9

       - 14  -14

The fourteens cancel out. Our equation now looks like this:

-21x = -5

Last step! Now we use inverse operations to isolate the x. -21 is being multiplied by x; the inverse operation for multiplication is division.

-21x/-21 =    and    -5/-21 = 5/21

x is equal to 5/21.

Hope this helps!

Answer:

-5x + -5 + 5x-.1

Step-by-step explanation:

Answer:

[tex]\large \boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

-45x + 40

Factor out 5 from the expression.

5(-9x) + 5(8)

Take 5 as a common factor.

5(-9x + 8)

4w + 9( -6 - 3w)

Expand brackets.

4w + 9(-6) + 9(-3w)

4w - 54 - 27w

Combine like terms.

4w - 27w - 54

-23w - 54

Answer:

Factor the expression

[tex] - 45x + 40 \\ = - 5(9x + 8)[/tex]

Expand the expression

[tex]4w + 9( - 6 - 3w) \\ 4w - 54 - 27w \\ = - 23w - 54[/tex]

hope this helps

brainliest plz..

Answer:

f ( x ) = 5x - 5 is not a quadratic function.

The degree of the equation f(x) = 5x – 5 is one, then it is not a quadratic equation. Then the correct option is B.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

If the degree of the equation is not 2, then the function is not a quadratic.

f(x) = 5x – 5, the degree of the equation is one, then it is not a quadratic equation.

Then the correct option is B.

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━━━━━━━☆☆━━━━━━━

▹ Answer

(-2/3, 10/3)

▹ Step-by-Step Explanation

2|4 - 3x| - 2 < 10

2|-3x + 4| - 2 < 10

2|-3x + 4| < 12

= (-2/3, 10/3)

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

50%

Step-by-step explanation:

Given that Eighty percent ( 80%) of adults drink coffee and seventy ( 70%) percent drink tea.

Let the percent of the adults that drink coffee and tea be y

The total percentage of adults = 100

80 - y + y + 70 - y = 100

150 - y = 100

- y = 100 - 150

Y = 50.

Therefore, the smallest possible percent of adults who drink both coffee and tea is 50 %

A Simpler Answer:

Add together the probabilities.

80%+70%=150%

Therefore we overcounted 50 percent, so the least amount possible is [tex]\boxed{50\%}[/tex]

Answer: x - 2 + 5 = x - 12

Step-by-step explanation:

At first I was confused. Then I read the question again and translated it.

Less than translated means - 2.

A number, aka X.

and means plus(+).

when you put that together you get,

x - 2 + 5.

The next step is to translate to second part of the equation.

Is means equals(=).

So far we have: X - 2 + 5 = 12.

This is where I got confused...

After solving that peice, we have the words; " 12 less than the number it's self. I wasn't sure if 2 x's could be in the same equation. Now I know they can.

Above, we established that 'a number' is x.

Now, it's talking about that number again because it says; "The number itself." At first, I thought it was talking about 12 - 12! Then I realized that it's not.

The new equation, after understanding that in the second piece isn't 12 - 12, would be none other than,

x - 2 + 5 = 12 - x

I hope this helps!!

Answer:

Step-by-step explanation:

Twelve less than the one-fifth of a number is-7

Answer:

(a) hundreds = 817

(b) hundredths = 817.09

(c) 3 d.p = 817.086

(d) 4 s.f. = 817.1

(e) whole number = 817

Answer:

See below.

Step-by-step explanation:

So, Nikki earns $12 per hour.

And she also earns a 5% or 0.05 commission of her total sales each day.

On Saturday, she worked eight hours and she earned $139. In other words, she earned 8(12) or $96 from working her hours and another $43 (139-96) from her commission.

Thus:

[tex]139=96+0.05x[/tex]

Where x represents Nikki's total sales on Saturday.

Further notes:

To solve, subtract 96 from both sides and divide by 0.05:

[tex]139=96+0.05x\\43=0.05x\\x=\$860[/tex]

Thus, her total sales that day were $860.