Marcus saved money from her allowance for some books she wanted to buy. To determine how much money she will save, she used the function rule: y = 6x. Find f (7) A. $13 B. $36 C. $42 D. $49

Answer:

[tex]x=8,\:x=-3[/tex]

Step-by-step explanation:

[tex]x^2-5x-24=0\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\mathrm{For\:}\quad a=1,\:b=-5,\:c=-24:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\left(-24\right)}}{2\cdot \:1}\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=8,\:x=-3[/tex][tex]=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\5+\sqrt{121}\\=\frac{5+\sqrt{121}}{2}\\=\frac{5+11}{2}\\=\frac{16}{2}\\=8\\\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-24\right)}}{2\cdot \:1}\\=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\\left(-5\right)^2\\=25\\4\cdot \:1\cdot \:24\\=96\\=5+\sqrt{25+96}\\[/tex]

[tex]\frac{5-\sqrt{121}}{2\cdot \:1}\\\frac{5-11}{2}\\=-\frac{6}{2}\\=-3\\[/tex]

Answer:

#14) x is 95 (155-180= 25, 180-25-60= 95)

#19) my best guess is 4 (DE=7 -> AB=11, a 4 unit increase)

Answer:

31.6227766

Step-by-step explanation:

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Answer:

A is the answer

Step-by-step explanation:

5(2x+1)<10

10x+5<10

     -5  -5

____________

     10x<5

   ——   —-

    10      10

———————-

    x < 1/2

Answer:

a.x<1/2

Step-by-step explanation:

5(2x+1)<10

2x+1< 5/10

2x+1<2

2x<2−1

2x<1

x< 1/2

mark brianliest if my answer suit your question

Answer: 4 and 10/12

Step-by-step explanation:

2 x 2= 4

[tex]1/2 X 3/4=2/2+ 3/4= {5/6} x 2= 10/12[/tex]

Answer:

2261.95

Step-by-step explanation:

A=2πrh+2πr2

Answer:

2261.9

Step-by-step explanation:

the other users answer was correct, but not with 1 decimal place

Answer:

Number of 10 cent coins = 14

Number of 50 cent coins = 7

Step-by-step explanation:

Let the number of coins of 10 cents = a

and the number of coins of 50 cents = b

Total count of coins = 21

a + b = 21  ---------(1)

Value of 10 cent coins = $0.10

Value of a coins of 10 cents = 0.10a

Value of 50 cent coins = $0.50

Value of b coins of 50 cents = 0.50a

The value of these coins = $4.90

0.10a + 0.50b = 4.90

a + 5b = 49 --------(2)

By subtracting equation (1) from equation (2)

(a + 5b) - (a + b) = 49 - 21

4b = 28

b = 7

From equation (1),

a + 7 = 21

a = 21 - 7

a = 14

Therefore, number of 10 cents coins = 14

number of 50 cent coins = 7

Answer:

[tex]Slope:\frac{3}{2}\\y-intercept:2[/tex]

Step-by-step explanation:

Answer: rays or lines

Step-by-step explanation:

Answer:

I believe the answer is: B.) lines

Hope this helps God bless!

Answer: All of them besides <AEB

Step-by-step explanation:

Everyone of those can be measured but the <AEB therefore all the answers besides <AEB is correct

Answer:

There are 14 marbles in each red jar and 2 marbles in the blue jar

Step-by-step explanation:

There are two red jars of marbles and one blue jar of marbles.

Let the number of marbles in the red jar be x.

Let the number of marbles in the blue jar be y.

There are 30 marbles in total. This means that:

2x + y = 30 _____________ (1)

The difference between the number of marbles in a red jar and the number of marbles in a blue jar is 12. This means that:

x - y = 12 ______________(2)

We have a system of simultaneous equations:

2x + y = 30 _____________ (1)

x - y = 12 ______________(2)

Add them together:

3x = 42

=> x = 42/3= 14

Put the value of x in (2)

14 - y = 12

=> y = 14 - 12 = 2

Therefore, there are 14 marbles in each red jar and 2 marbles in the blue jar.

Answer:

14,15,16

Step-by-step explanation:

14+15=29

add up 29 + 16 = 45

Answer:

Step-by-step explanation:

slope = [tex]\frac{vertical}{horizontal}[/tex] = - [tex]\frac{3}{10}[/tex] → A

The slope is negative as the ramp slopes down from left to right

The slope of the ramp shown in the diagram given is 3/10.So option D is the correct answer.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a diagram of a ramp.

It can be picturized as a right angled triangle.

We know that,

Slope = Change in y coordinates / change in x coordinates.

Horizontal distance = change in x coordinates = 10

Vertical distance = change in y coordinates = 3

Substituting,

Slope = 3/10

Hence the slope of the ramp is 3/10.

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Answer:

x=40

Step-by-step explanation:

The 2 angles are opposite each other. Therefore, they are vertical angles. This means the 2 angles are equal. So, we can set them equal to each other.

120=3x

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

120/3=3x/3

120/3=x

40=x

x is equal to 40.

Answer:

40

Step-by-step explanation:

i had this a while ago

Answer:

see below

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + (y-k) ^2 = r^2

( x-3)^2 + (y+4) ^2 = 36

Rewriting this equation

( x - 3)^2 + ( y - -4)^2 = 6^2

The center is at (3,-4) and the radius is at 6

Susan did not use the formula correctly.

It is x-h and y-k so she needed to rewrite to get the equation in the proper form

Also the radius is r^2 not r/2

Answer:

After 5 minutes, the submarine is at -40 × 5 = -200 feet

Step-by-step explanation:

In 1 minute, the submarine is 40 feet below sea level. This situation can be represented with -40 feet. Notice that we use a negative sign since the submarine is descending.

Answer:

It's at 200 ft

Step-by-step explanation:

You multiply 40 and 5 because the submarine goes 40 ft per minute and you have to find out the level after 5 minutes.

Therefore 40•5=200 ft

Hope this helps!

Answer:

D

Step-by-step explanation:

Answer:

D.)   9 − 2x − 2x2

[tex]the \: right \: answer \: is \: of \: option \: a \\ y = - 0.32 {x}^{2} - 1.26x + 15.81 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

1.49216*10^8 km

Step-by-step explanation:

The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:

3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km

To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:

1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km

Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km

Answer:

4.75

Step-by-step explanation:

u = 10  a = -2  t = 0.5 (half)

need to work out u times t add 0.5 times a times t ^2

so 10 x 0.5 + 0.5 x -2 x 0.25

= 4.75

Answer:

s=4.5 m

Step-by-step explanation:

in the equation s=ut+1/2at squared, u=10, a=-2, and t==1/2. So substitute the given values by the units u, a and t.

[tex]s=ut+\frac{1}{2} at^{2} \\s=10*\frac{1}{2}+-2*\frac{1}{2}^{2}\\ s=5+(-2)*\frac{1}{4}\\ s=5+\frac{-2}{4}\\ s=\frac{5*4-2}{4}\\ s=\frac{20-2}{4}\\ s=\frac{18}{4}\\ s=4.5 m[/tex]

Answer: Wheres the table

Step-by-step explanation:

Answer:

Step-by-step explanation:

40

Answer:

area of the kitchen

Step-by-step explanation:

in real life the dimensions are 10*40=400 cm=4 m and 18*40=720 cm=7.2 m

Area of the bedroom is A=4*7.2=28.8  m^2

Area of the kitchen  is  300.000 cm^2=30 m^2

30>28.8

The bigger area is  area of the kitchen

The bigger area between bedroom and kitchen is kitchen which is 30 m^2

Area can be find of l length and b breadth sides is

Area = l b

Here the scale of bedroom is given that is 1 : 40

If bedroom is rectangle and measuring 10 cm and 18 cm then dimensions are

l = 10x40 = 400 cm = 4 m

b = 18x40 = 720 cm = 7.2 m

Therefore the area will be

Area of bedroom = 4x7.2 = 28.8 m^2

And we have given

Area of the kitchen = 300,000 cm^2

Convert into m^2 we have

Area of the kitchen = 30 m^2

This shows the area of the kitchen is bigger than the area of the bedroom

This is the conclusion to the answer.

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Answer:

x= AP, y= GP

Step-by-step explanation:

x = 1, 2, 3, 4, 5 - difference in terms = 1, this is AP

y = 5, 25, 125, 625, 3125 - the ratio of increase= 5, this is GP

Answer:

x= AP, y= GP

Step-by-step explanation:

A wheel is a circle.

Given diameter of wheel = 2.8 m

Then radius of the wheel = 2.8/2 = 1.4 m

Now we know that , circumference of circle =[tex]2\pi r[/tex]

Circumference of wheel = 2 × 22/7 × 1.4

Circumference of wheel = 8.8 m

From the above we can conclude that ;

1 revolution = 8.8 m

x revolution = 484 km = 484000 m

[tex]x = \frac{1}{8.8} \times 484000 \\ \\ x = 55000[/tex]

Answer:

For every rap song Ling listened to, she listened to 3 country songs.

Ling listened to 3 times as many country songs as rap songs.

Ling listened to a ratio of 4 rap songs to 12 country songs.

Step-by-step explanation:

Answer:

2,3,4

Step-by-step explanation:

12^2 + 9^2 = x^2

144 + 81 = x^2

225 = x^2

√225 = √x^2

x = 15

Answer:

the third option

Step-by-step explanation:

the inverse of a statement is just the opposite. So the opposite of your statement would be "if a quadrilateral is NOT a rectangle, then it is NOT a parallelogram."

hope this helps!

Answer:

7/36

Step-by-step explanation:

7/9* 1/4

Multiply the numerator

7*1 = 7

9*4 = 36

Put the numerator over the denominator

7/36

Answer:

Step-by-step explanation:

7/9 x 1/4 = 7/36

Answer:

A

Step-by-step explanation:

49-45 = 4 wrong

4/49 = 0.08163

        = 8.16%

Answer:

A) 8.16

Step-by-step explanation:

1) Subtract 49-45

2) Divide 4/49 and multiply by 100

3) Then multiply by 100

Hope this helped

Answer:

x=-2

Step-by-step explanation:

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

5x-5=9x+3

9x is being added to 3. The opposite of addition is subtraction, so subtract 9x from both sides.

5x-9x-5=9x-9x+3

5x-9x-5=3

-4x-5=3

5 is being subtracted from -4x. The opposite of subtraction is addition, so add 5 to both sides.

-4x-5+5=3+5

-4x= 3+5

-4x=8

x is being multiplied by 4. The opposite of multiplication is division, so divide both sides by -4.

-4x/-4=8/-4

x=8/-4

x= -2