Someone help!!
Set the function = 0, factor, and use the zero product property to find the zeros of the function.

f(x) = x2 + 7x - 60

Someone Help!!Set The Function = 0, Factor, And Use The Zero Product Property To Find The Zeros Of The

Answers

Answer 1

Answer:

-12; 5

Step-by-step explanation:

x^2 + 7x - 60 = 0

D = b^2 - 4ac

D = 7 * 7 + 60 * 4 * 1 = 289

sqrt(D) = sqrt(289) = 17

x₁ = (-b - √D) / 2a = (-7 - 17) / 2 = -24 / 2 = -12

x₂ = (-b + √D) / 2a = (-7 + 17) / 2 = 10 / 2 = 5


Related Questions

What is 3/8 to the nearest half? I need an explanation too cause I don't understand how to say it :)))

Answers

Answer:

HOP IT HELPS

3/8=1.5/4

because when you divide

3÷2 and 8÷2

you get

1.5/ 4

Answer:

1/2

Step-by-step explanation:

3/8 to the nearest 1/2.

The question wants to know if you round 3/8 to the nearest half, what value would that be?  On a number line from 0 to 1, we could mark every 1/8 unit:

0/8==1/8==2/8==3/8==4/8==5/8==6/8==7/8==8/8

Note that 0/8 is 0, 4/8 is 1/4 and 8/8 is 1.

3/8 is one step from 4/8, or 1/2.  So the nearest half would be 1/2.

Normal body temperature is 98.6 degrees Fahrenheit. When Tyler had a fever, his temperature went up to 102.2 degrees. By how much did Tyler's temperature increase?​

Answers

102.2 minus 98.6 equals3.6

what is the area, please help me!

Answers

Answer:

30ft2. (C.)

I did this question once.

Sorry for my Lack of explanation.-

Answer:

C

Step-by-step explanation:

Draw a line to make 2 separate shapes and find the area of each them then add the 2 areas together

18+12=30

There are 65 seats on a train. 60% of the seats are empty. How many empty seats are there
on the train?

Answers

Answer:

39 seats are empty

Step-by-step explanation:

60% of 65 is 39

97 is what percent of 837? Round to the nearest whole #

Answers

Answer:

12

Step-by-step explanation:

3. Angles X and Y have a sum of 159 degrees. Angle X is 43 degrees smaller than angle Y.
Write a system of equations that represent this, then solve it to find the measures of both
angles.

Answers

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

[tex]\longrightarrow[/tex]Since angle X and Y have a sum of 159

[tex]\implies \bf Y + X= 159 \_\_\_\_(1) [/tex]

[tex]\longrightarrow[/tex]Since X is 43 degrees smaller than Y , so subtracting X from Y would give 43 , therefore equation will be written as -

[tex]\implies \bf Y - X = 43 \_\_\_\_(2) [/tex]

Adding Equation (1) and (2)

[tex]\begin{gathered}\\\implies\quad \sf Y+X+Y-X = 159+43 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf Y+Y + X-X = 202 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2Y = 202 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf Y = \frac{202}{2} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \boxed{\sf {Y = 101 }} \\\end{gathered} [/tex]

Putting Y in eq (1)

[tex]\begin{gathered}\\\implies\quad \sf X + 101 = 153 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf X = 153-101 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \boxed{\sf{ X = 52 }}\\\end{gathered} [/tex]

2. Simplify each expression into its standard
(x - 3)(6x - 2)

Answers

Answer: 6x² - 20x + 6

Step-by-step explanation:

x(6x - 2) -3(6x - 2)

= 6x² - 2x - 18x + 6

= 6x² - 20x + 6

the hot air popcorn maker used at the movies theater produces 14 cups of popcorn in 2.5 minutes. what is the unit rate per minute?

Answers

14 popcorns = 2.5 minutes
14 divided by 2.5 = 6.5 popcorns
2.5 divided by 2.5 = 1 minute

Therefore, the hot air popcorn maker makes 6.5 popcorn per minute.

Find f(6) if f(x) = x2 ÷ 3 + x.
18
21
10
4

Answers

The answer for this question is 10

Answer:

the answer for d question is 10

Find the area of the region between two concentric circular paths. If the radii of the circular paths are 210 m. and 490 m. respectively.​

Answers

Given :

The radii of the circular paths are 210 m. and 490 m.

To Find :

The area of the region between two concentric circular paths.

Solution :

Area of the outer circle :

[tex]\: \qquad \dashrightarrow \sf{{ \pi \: \times {(490)}^{2} {m}^{2}}} [/tex]

[tex]\: \qquad \dashrightarrow \sf{{ \ \dfrac{22}{7} \times \:490 \times 490 \: {m}^{2}}} [/tex]

[tex]\: \qquad \dashrightarrow \sf{{ \ \dfrac{22}{ \cancel{7}} \times \cancel{490} \times 490 \: {m}^{2}}} [/tex]

[tex]\: \qquad \dashrightarrow \sf{{ \ {22} \times 70 \times 490 \: {m}^{2}}} [/tex]

[tex]\: \qquad \dashrightarrow \bf{{ \ 754600 \: {m}^{2}}} [/tex]

Area of the inner circle :

[tex]\: \qquad \dashrightarrow \sf{{ \pi \: \times {(210)}^{2} {m}^{2}}} [/tex]

[tex]\: \qquad \dashrightarrow \sf{{ \ \dfrac{22}{7} \times \:210 \times 210 \: {m}^{2}}} [/tex]

[tex]\: \qquad \dashrightarrow \sf{{ \ \dfrac{22}{ \cancel{7}} \times \cancel{210} \times 210 \: {m}^{2}}} [/tex]

[tex]\: \qquad \dashrightarrow \sf{{ \ {22} \times 30 \times 210 \: {m}^{2}}} [/tex]

[tex]\: \qquad \dashrightarrow \bf{{ \ 138600 \: {m}^{2}}} [/tex]

Therefore,

Area of the region inside the circular paths :

[tex]\: \qquad \dashrightarrow \sf{{ \ (754600 - 138600 ) \: {m}^{2}}}[/tex]

[tex]\: \qquad \dashrightarrow \bf{{ \ 616000 \: {m}^{2}}}[/tex]

evaluate each expression (-1) • 2 • 3

Answers

Answer:

-6

Step-by-step explanation:

-1 * 2 * 3

= -2 * 3

= -6

Answer:

-1 x 2 = -2

-2 x 3 = -6

Answer:

-6

3. a. Prove that A(1,1), B(4,4), C(6,2) are the vertices of a
right triangle using slopes.

Answers

Answer:

Step-by-step explanation:

Need Help Please!!!!!!

Answers

Answer:

64°

.

.........................

If someone can answer these both I’ll give 75 points

Answers

Solution (1):

Note that:

Sum of interior angles = 180°

This means that...

5x + 3x + 2 + 130 = 180

Finding the value of x.

5x + 3x + 2 + 130 = 180=> 8x + 132 = 180=> 8x = 180 - 132=> 8x = 48=> x = 6

Solution (2):

Note that:

Sum of interior angles = 180°

This means that...

x + 66 + x + 86 + 50 = 180°

Finding the value of x.

x + 66 + x + 86 + 50 = 180°=> 2x + 202 = 180°=> 2x = -22=> x = -11

I NEED THIS DONE IN 5 MIN SOMEONE HELP

Answers

Answer:

4

Step-by-step explanation:

Solve for x and y

2x-5y=1, 3x+2y=11

Answers

Solve for x

2x - 5y = 1

We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term -5y to the other side of equation.

[tex]\rm{2x - 5y = 1 }\\ [/tex]

[tex] \rm{2x - 5y + 5y = 1 + 5y}\\[/tex]

Subtract -5y from both sides of the equation

Simplify 2x - 5y + 5y = 1 + 5y

Cancel -5y with 5y

Reorder 1 + 5y so highest order terms are first

[tex] \rm{x = \frac{5y + 1}{2} } \\ [/tex]

Move factors not having X from the left side of equation 2x = 5y + 1

[tex] \rm{ \frac{2x}{2} = \frac{5y + 1}{2} } \\ [/tex]

Divide both sides of equation 2x = 5y + 1 by 2

Cancel 2 with 2

[tex] \rm{ \frac{\cancel{2}x}{\cancel{2}} = \frac{5y + 1}{2} } \\ [/tex]

[tex] \rm{x = \frac{5y + 1}{2} } \\ [/tex]

Therefore, the x of 2x - 5y = 1 is [tex] \rm{ \frac{5y + 1}{2} } [/tex]

Solve for y

2x - 5y = 1

[tex]\rm{-5y + 2x = 1}\\ [/tex]

Reorder 2x -5y so highest order terms are first

-5y = -2x + 1

We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term 2x to the other side of equation -5y + 2x = 1

[tex]\rm{-5y + 2x - 2x = 1 - 2x}\\[/tex]

Subtract 2x from both sides of the equation

Simply - 5y + 2x -2x = 1 - 2x

Cancel 2x with -2x

Reorder 1 - 2x so highest order terms are first

[tex] \rm{y = - \frac{2x + 1}{5} }\\[/tex]

Move factors not having y from the left side of equation -5y = -2x + 1

[tex]\rm{ \frac{ - 5y}{ - 5} = \frac{ - 2x + 1}{ - 5} }\\ [/tex]

Divide both sides of equation -5y = -2x +1 by -5

Simplify [tex]\rm{ \frac{ - 5y}{ - 5} = \frac{ - 2x + 1}{ - 5} } [/tex]

Cancel 5 with -5

Resolve sign on fraction [tex] \rm{\frac{ - 2x + 1}{ - 5} }[/tex]

Therefore, the y of 2x-5y = 1 is [tex]\rm{\frac{ - 2x + 1}{ - 5} } [/tex]

Solve for x

3x + 2y = 11

We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term 2:y to the other side of equation 3 x + 2y - 2y = 11 - 2y

Subtract 2y from the both sides of the equation

Simplify 3x + 2y - 2y = 11 - 2y

Cancel 2y with 2y

Reorder 11 - 2y so highest order terms are first

[tex] \rm{x = \frac{2y + 11}{3} } \\ [/tex]

Move the factors not having x from the left side of equation 3x = -2y +11

[tex] \rm{ \frac{3x}{3} = \frac{-2y + 11}{3} } \\ [/tex]

Divide both sides of equation 3x = 2y + 11 by 3

Cancel 3 with 3

[tex] \rm{ \frac{\cancel{3}x}{\cancel{3}} = \frac{-2y + 11}{3} } \\ [/tex]

[tex] \rm{x = \frac{2y + 11}{3} } \\ [/tex]

Therefore, the x for 3x + 2y = 11 is [tex] \rm{ \frac{2y + 11}{3} } [/tex]

Solve for y

2y + 3x = 11

Reorder 3x + 2y so highest order terms are first

[tex]\rm{2y + 3x = 11}\\[/tex]

We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term 2:y to the other side of equation 2y + 3x = 11

[tex]\rm{2y + 3x - 3x = 11 - 3x}[/tex]

Subtract 3y from the both sides of the equation

Simplify 2y + 3x - 3x = 11 - 3x

Cancel 3x with - 3x

Reorder 11 - 3x so highest order terms are first

[tex] \rm{y= - \frac{3x + 11}{3} } \\ [/tex]

Move factors not having y from the left side of equation 2y = -3x + 11

[tex] \rm{ \frac{2y}{2} = \frac{-3x + 11}{3} } \\ [/tex]

Divide both sides of equation 2y = -3x + 11 by 2

Cancel 2 with 2

[tex] \rm{ \frac{\cancel{2}y}{\cancel{2}} = \frac{-3x + 11}{3} } \\ [/tex]

[tex] \rm{y = \frac{-3x + 11}{3} } \\ [/tex]

Therefore, the y for 2y + 3x = 11 is [tex] \rm{ \frac{-3x + 11}{3} } [/tex]


[tex]v = \frac{er}{r + a} [/tex]
Find R in image​

Answers

Step-by-step explanation:

[tex]V = \frac{ER}{R + a} [/tex]

[tex]V(R+a)=ER[/tex]

[tex]VR + Va=ER[/tex]

[tex]Va= ER-VR[/tex]

[tex]Va=R(E-V)[/tex]

[tex]R = \frac{Va}{E-V} [/tex]

Can someone pls explain me how to do this pls!!!

Answers

Answer:

A, C, E

Step-by-step explanation:

You would want to graph the points an if the line goes through them then that would be the answer

What is the slope of line that passes through the points ( 2 , 1 )( 10 , 9 )

Answers

Answer:

1.

Step-by-step explanation:

the slope can be calculated as

[tex]slope=\frac{y_2-y_1}{x_2-x_1};[/tex]

according to the formula above:

slope=(9-1)/(10-2)=1.

Question 2 of 5
A cylinder has a diameter of 10 inches and a height of 20 inches. What is the
volume of the cylinder?
А. 1000п
B. 50017
C. 200017
O D. 2001
SUBMIT

Answers

Answer

B. 500 pi

Step-by-step explanation:

Look at the cards below. When the cards are face down, your chances of picking an "A" card out of the group are 2/5. Approximately how many times would you pick an "A" card if you chose 50 times? XA GAP x S Р Hint: Set up a proportion​

Answers

50 times; 40% A

2/5(50) = A

A = 20

Answer:

50 times; 40% A

2/5(50) = A

A = 20

Step-by-step explanation:

A standard sheet of paper in the United States is 11 inches long and 8.5 inches wide. Each inch is 2.54 centimeters. How long and wide is a standard sheet of paper in centimeters?

Answers

The length is 27.94 centimeters and the width is 21.59 centimeters.

How many times does 15 go into 30

Answers

Answer:

2

Step-by-step explanation:

subtract 15 from 30 till u have 0 and count how many times u subtracted 15 from 30

Answer:

2

Step-by-step explanation:

30÷15=2

so 15 goes into 30 2times

What is the overlap of Data Set 1 and Data Set 2?

high

moderate

low

none
Two line plots with the same scale and interval, from fifty two to sixty two, with tick marks every one unit. The plots are stacked vertically for comparison. Each plot has eleven data values. Values appear as x marks above the line. Upper plot data values are one x mark above fifty three, one x mark above fifty four, one x mark above fifty five, two x marks above fifty six, three x marks above fifty seven, two x marks above fifty eight, and one x mark above sixty. Lower plot data values are one x mark above fifty four, one x mark above fifty five, two x marks above fifty six, three x marks above fifty seven, two x marks above fifty eight, one x mark above fifty nine and one x mark above sixty.

Answers

Answer:

Well my answer is high data set I took the test and got 100%

Step-by-step explanation:

Answer:

High

Step-by-step explanation: I took the test.

The perimeter of a square is equal to the perimeter of rectangle of length = 16 cm and breadth=4 cm. What is the perimeter and side of the square?

Answers

Answer:
10cm
Step-by-step explanation
Perimeter of the rectangle = 2(16+4) = 40cm
Assume the length of a side of the square as x.
Therefore the perimeter of ssquare can be wwritten as 4x.(all sides are equal in a square )
And we can build up a simple equation as
4x=40
When u simplify this equation,you get the x value as 10cm. That's the side length of the square.


Find the smallest part when £80 is
shared in the ratio 7:3

Answers

Answer:

£24

Step-by-step explanation:

= 3/(7+3) × £80

= 3/10 × £80

= £24

24 because 7+3=10 80 divided by 10=8 so 3 is the smallest part so you do 8x3 which equals 24

high speed train travels at a speed of 200 km/h if the train sets off from station A at 12 24 and reaches station B AT 14 12 find the distance in between two stations giving your answer in meters.

Answers

Answer: 360000m

Step-by-step explanation:

Okay, so since we know that this train’s speed is 200km/h, let’s find the time difference between 12 24 and 14 12.

14 12 - 2hrs = 12 12

12 12 + 12min = 12 24


2hrs -12min = 1hr 48 min


1hr 48 min also equals to 1.8hrs in decimals. So:


200km x 1.8 = 360km


Now we have to find the answer in meters. Since 1km is equal to 1000m,

That means 360km equals 360000m.


Therefore 360000m is the answer

A football stadium sells regular and box seating. There are twelve times as many
regular seats as there are box seats. The total capacity of the stadium is 10,413. How
many box seats are in the stadium? How many regular seats?

Answers

Answer:

There are 801 box seats and 9612 regular seats.

explanation:

Let the number of box seats be x,

Then the regular seats is 12x

The sum of seats equals to 10,413

Solve:

12x + x ➙ 10,413

13x ➙ 10413

x ➙ 801

There are 801 box seats.

Find for regular seats:

➙ 12(x)

➙ 12(801)

➙ 9612

There are 9612 regular seats.

Using your knowledge of 2- and y-intercepts, which graph matches the equation y = x + 2x - 3?

Answers

Answer:

ANSWER (A.

Step-by-step explanation:

HOPE IT HELP'S !

Rewrite the Equation in Ax+By=C form. Use Integers for A,B, and C

Answers

Answer:

-x + 5y = 15

Step-by-step explanation:

Hello! This question simply asks us to rearrange the equation.

So we have this:

y - 2 = 5(x + 5)

Okay, so we need to get an answer with integers for x and y, but no brackets. This means we can start by expanding them:

5y - 10 = x + 5

now, let's put y and x on the same side of the equation, and numbers on the other side:

5y - x = 5 + 10

5y - x = 15

we can put x first, but it's not necessary:

-x + 5y = 15

A = -1

B = 5

C = 15

And that's it!

I hope this makes sense :))

Answer:

5x - y = - 27

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

y - 2 = 5(x + 5) ← distribute parenthesis

y - 2 = 5x + 25 ( add 2 to both sides )

y = 5x + 27 ( subtract 5x from both sides )

- 5x + y = 25 ( multiply through by - 1 )

5x - y = - 27 ← in standard form

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