A quadratic has been factored, as shown below:

f(x) = (x − 6)(x + 5)

What are the zeros of the quadratic?
a
6 and −5
b
6 and 5
c
-6 and 5
d
-6 and -5

Answer:

Let's denote:

x: number of bicycles

y: number of  skateboards

Then, we have:

x + y = 20

2x + 4y = 52

=> 2(20 - y) + 4y = 52

=> 2y = 12

=> y = 6 (number of skateboards)

=> x = 14(number of bicycles)

Hope this helps!

:)

Answer:-6

Step-by-step explanation:

Answer:

ez

Step-by-step explanation:

6 negative

Answer: 0.71

Step-by-step explanation:

we have that cos(A) = 12/13

then:

A = Acos(12/13) = 22.62°

But A is in the fourth quadrant, so A is actually 22.62° + 180° = 202.62°

Then Sin(2A) = sin(2*202.62°) = 0.71

Answer:

-20

Step-by-step explanation:

It is the farthest from 0.

Answer:

A. -20

Step-by-step explanation:

The absolute value means take the positive value

A. -20

abs(-20) = 20

B. 0

abs(0) = 0

C. 10​

abs(10) = 10

20 is the largest value

Answer:

The distance from the helicopter to the fire is 8909 feet.

Step-by-step explanation:

Refer the attached figure

The pilot of a helicopter sights a fire at an angle of depression of 11° i.e. [tex]\angle ACB = 11^{\circ}[/tex]

The helicopter's altitude is 1700 feet.i.e.AB = 1700 feet

We are supposed to find the distance from the helicopter to the fire i.e. AC

Using trigonometric ratios

[tex]Sin \theta = Perpendicular}{Hypotenuse}\\\\Sin 11^{\circ}=\frac{AB}{AC}\\\\Sin 11^{\circ}=\frac{1700}{AC}\\\\AC=\frac{1700}{Sin 11^{\circ}}\\\\AC=\frac{1700}{0.1908}\\\\AC=8909.85 feet[/tex]

Hence the distance from the helicopter to the fire is 8909 feet.

Answer:

center: (0,0)

radius: 4 units

Step-by-step explanation:

the circle goes through points (0,4), (0,-4), (4,0), and -4,0).

if you notice, all four points are 4 away from the origin, (0,0). this means that there center is (0,0).

if you start at one of the points and go to the origin, it will be 4 units. that will be your radius

Answer:

1/3

Step-by-step explanation:

To find equivalent fractions, we can multiply or divide the original fraction by 1, since it won't change the value.

That means, dividing the numerator and denominator by the same integer.

For example, in this case, we divided both the numerator and denominator by 6.

6/6=1

18/6=3

So we divided the entire fraction by 6/6, which doesn't change the value of the fraction, just simplifies it.

Answer: [tex]\frac{1}{3}[/tex]: D

Step-by-step explanation:

This is simple, just simplify the fraction.

[tex]\frac{6}{18}[/tex]

You have to find the greatest common factor. In this case, it is 6 because both of them can be divided by 6.

When you divide 6 by 6, you get 1.

When you divide 18 by 6, you get 3.

Therefore, your answer is [tex]\frac{1}{3}[/tex].

Hope this helps! :)

Answer:

4

Step-by-step explanation:

Answer:

4 cm

Step-by-step explanation:

Volume of cylinder = [tex]\pi[/tex]r²h

Radius = [tex]\sqrt{\frac{V}{\pi h} }[/tex]

Radius = [tex]\sqrt{\frac{351.9}{\pi 7} }[/tex]

Radius = [tex]\sqrt{\frac{351.9}{21.98} }[/tex]

Radius ≈ [tex]\sqrt{16}[/tex]

Radius ≈ 4

So, the radius is about 4 cm.

[tex]\frac{2}{3}[/tex]

[tex]\frac{4}{6}[/tex]

[tex]\frac{12}{18}[/tex]

[tex]\frac{14}{21}[/tex]

I hope this helps :)

Answer:

2/3= 4/6= 12/18= 14/21

Step-by-step explanation:

2/3= __/6

you know that that denominator doubles because 3*2=6, so what you do to the denominator you have to do to the numerator and vice versa. 2*2= 4 so the answer would be 4/6

To find 12/__

You should know that everything is equal to 2/3 in this equation. To get from 2 to 12 you need to multiply by 6. what you do to the top you have to do to the bottom. 3*6=18

_/21

You times 2/3 by 7 because 3*7=21.

2*7=14

Answer:

3x + 7y = −17

4x − 7y = 10

Add up both sides of 2 equations, then

7x = -7

=> x = 1

=> y =(3 x 1 - 17)/7 = -14/7 = -2

Hope this helps!

:)

Answer:

5.18x10-5 is the correct answer

Step-by-step explanation:

Scientific notations are used to represent relatively large and small numbers.

The population per capita is (d) [tex]5.18 \times 10^{-5}[/tex]

The populations are given as:

[tex]Starbucks = 2010[/tex]

[tex]People = 38.8\ million[/tex]

The population of Starbucks per capita is calculated by dividing the population of Starbucks by the population of the people.

So, we have:

[tex]Per\ Capita = \frac{Starbucks}{People}[/tex]

Substitute known values

[tex]Per\ Capita = \frac{2010}{38.8\ million}[/tex]

Divide

[tex]Per\ Capita = 0.00005180412[/tex]

Approximate

[tex]Per\ Capita = 0.0000518[/tex]

Express as scientific notation

[tex]Per\ Capita = 5.18 \times 10^{-5}[/tex]

Hence, the population per capita is (d) [tex]5.18 \times 10^{-5}[/tex]

Read more about scientific notation at:

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Answer:

d. 2x-6 is the answer

a=b, b=x, c=2

=5x-5×2

=2x-6

Answer:

C. 1,297,956 square ft.

Step-by-step explanation:

480.6*755.9*1/2 (area of triangle)

4 triangles so the above x4

square base=755.9^2

add it all together to get 1,297,955.89 or about 1,297,956

Answer:

D. 18x-0.08y

Step-by-step explanation:

He will make 18 monthly payments of x dollars on the total amount leftover after paying an 8% down payment. So his finance charge is payment minus down payment: 18x-0.08y

The expression correctly represents Adam's finance charge is

C. 18x-0.92y.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From, The given information,

8% of the downpayment is (8/100)×y = 0.08y and te total monthly payment is 18x.

Therefore,

The phrase that accurately describes Adam's finance charge is,

y = 0.08y + 18x.

y - 0.08y = 18x.

0.92y = 18x.

18x - 0.92y = 0.

learn more about numerical expressions here :

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Answer:

The answer is D. Let me know if you don't understand that.

Step-by-step explanation:

Hi!

To find the Mean Absolute Deviation (MAD) of the weight of the boxes, first find the mean.

5 + 3 + 3 + 4 + 5 + 4 = 24

24/6 = 4

Now find the absolute distance from the mean for each of the numbers by subtracting the mean from each of the numbers. It doesn't matter if it's negative.

5 - 4 = 1

3 - 4 = 1

3 - 4 = 1

4 - 4 = 0

5 - 4 = 1

4 - 4 = 0

Now find the mean of those numbers.

1 + 1 + 1 + 0 + 1 + 0 = 4

4/6 = 0.7

So now we know the answer is either B or D.

B. 0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound

D. 0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds

Hope this helps! :)

-Peredhel

The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds

Option D is the correct answer.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

To find the mean absolute deviation, we first need to find the mean weight of the boxes:

Mean = (5+3+3+4+5+4)/6 = 24/6 = 4 pounds

Next,

We calculate the absolute deviations from the mean for each weight:

So,

|5-4| = 1

|3-4| = 1

|3-4| = 1

|4-4| = 0

|5-4| = 1

|4-4| = 0

Then,

We find the mean of the absolute deviations:

(1+1+1+0+1+0)/6 = 4/6 = 0.67 = 0.7

This means that on average, the weight of a box varies by 0.7 pounds from the mean weight of 4 pounds.

Therefore,

The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds (rounded to one decimal place).

Learn more about mean here:

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Answer:190

Step-by-step explanation:

If there are 950 classes over a year and 5 classes then there are 190 classes per class because 950/5=190

Answer:

529 units squared

Step-by-step explanation:

Answer:

784

Step-by-step explanation:

Answer:

784

Step-by-step explanation:

34+22=56

28÷2=14

56×14=784

Answer:

Slope: 2

Y-intercept: (0,-7)

Step-by-step explanation:

2(x-3)=y+1

distribute the 2 through the parentheses

2x-6=y+1

2x+6=0+1

(change the y to 0)

2x-6=1

add 6 to both sides(+6 cancels out -6)

2x=1+6

divide both sides by 2

x=7/2 or x=3.5

hope this helps!

Answer:

stem and leaf plot

Step-by-step explanation:

:) trust

Answer:A

Step-by-step explanation: 14% of the mothers work part-time in families where the father works part-time while 7% of the mothers work part-time in families where the father is not working.

Probabilities are used to determine how likely or unlikely an event is. From the 2-column table, it is twice as likely to get a family where the father and the mother work part-time than a family where the father doesn't work, and the mother works part-time.

We use the following representation:

[tex]FF \to[/tex] Father works full-time

[tex]FP \to[/tex] Father works part-time

[tex]FW \to[/tex] Father not working

[tex]MF \to[/tex] Mother works full-time

[tex]MP \to[/tex] Mother works part-time

[tex]MW \to[/tex] Mother not working

Next, we test each of the 4 options, till one of the options is true (see attachment)

Choice A:

The claim in choice A is that:

[tex]P(FP\ and\ MP) = 2 \times P(FW\ and\ MP)[/tex]

From the given table, we have:

[tex]P(FP\ and\ MP) = 0.14[/tex] ---- father works part-time and mother works part-time

[tex]P(FW\ and\ MP) =0.07[/tex] ---- father not working and mother works part-time

Put the above values in the following equation

[tex]P(FP\ and\ MP) = 2 \times P(FW\ and\ MP)[/tex]

[tex]0.14 = 2 \times 0.07[/tex]

[tex]0.14 = 0.14[/tex]

The above equation is true.

Hence, choice (A) is true

Read more about probabilities at:

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Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

Vince began practicing piano at 11:15 P.M

He stopped at 11:35 P.M

=> He practiced in 35 - 15 = 20 mins = 1/3 hour.

=> 1/3 hour means 1/3 circle, the number of degrees the minute hand turned:

N = (1/3) x 360 = 120 deg (1 circle = 360 deg)

Hope this helps!

:)

Answer:

About 158 liters

Step-by-step explanation:

475 / 3 = 158.333...

Answer:

Step-by-step explanation:

+ Because of " the line passing through the points (-2, 2) and (3,-1)", that means this line has its equation y = ax + b where

[tex]a=\frac{2-(-1)}{-2-3} =\frac{2+1}{-5} =-\frac{3}{5}[/tex]

So we write its equation: y = -3/5 x + b.

+ Then, now, we replace x = -2 and y = 2 into y = -3/5 x + b for finding b like:

2 = -3/5 * (-2) + b or 2 = 6/5 + b

so b = 2 - 6/5 = 4/5.

And this line has its equation: y = -3/5 x  + 4/5.

Mẹthod 2:

we have a formule for a line that passes 2 points [tex](x_{0},y_{0}) , (x_{1},y_{1}) ,x_{0}\neq x_{1}[/tex]

Here is: [tex]\frac{x-x_{0} }{x_{1}-x_{0} } = \frac{y-y_{0} }{y_{1}-y_{0} }[/tex]

Then, we can write for this case:

[tex]\frac{x-(-2)}{3-(-2)} =\frac{y-2}{-1-2} \\\frac{x+2}{5} =\frac{y-2}{-3} \\-3(x+2) = 5( y-2)\\-3x-6=5y-10\\3x+5y-4=0\\or\\y=-\frac{3}{5}x+\frac{4}{3}[/tex]

P.S: You type wrongly the signs?

Answer: I believe D is the correct answer.

Step-by-step explanation:

I just took the test. Hope this Helps!!! PLZ MARK BRAINLIEST!!!

Answer:

Multiply each GDP number by its country's population.

Step-by-step explanation:

The GDP depends on the higher or lower population.

The highest GDP and highest population product all help decide the living standards of the country.

After you have multiplied the countries' GDP by its population you compare.

Answer:

C  F

Step-by-step explanation:

Answer:

2/10 is equivalent to 1:5

6:30 is equivalent to 1:5

8 to 40 is equivalent to 1:5

Step-by-step explanation:

Answer:

25 tomes 2 50 times 5 250

Step-by-step explanation:

Answer:

The shaded area is 475 yds²