solve the equation using the quadratic formula. 3x^2+7x-20=0

Answer: Bobby, Amy, Carlos

Step-by-step explanation:

Amy spent $6.00 for 2 gallons of gas.

The price per gallon will be:

= $6/2

= $3 per gallon

Bobby paid $15.00 for 6 gallons of gas.

The price per gallon will be:

= $15/6

= $2.5 per gallon

Carlos paid $32.00 for 8 gallons of gas.

The price per gallon will be:

= $32/8

= $4 per gallon

From the cheapest to the most expensive will be:

Bobby, Amy, Carlos

Answer:

Bobby,Amy,Carlos

Step-by-step explanation:

Step-by-step explanation:

6y=24-3x

6y/6=24-3x/6

y= 4-1/2x

x= -2y+8

Answer:

Please see below

Step-by-step explanation:

There are two variables so you can't really solve for both of them

Here's x:

3x = 24 - 6y

x = 8 - 2y

Here's y:

6y = 24 - 3x

y = 4 - x/2

Hope this helps :)

(Please let me know if I've gotten anything wrong!)

Answer:

Shift the graph of y = x2 left 13 units and then up 6 units.

Step-by-step explanation:

Answer:

You start with the graph y=x^2, you shift the graph right 13 units to get y=(x-13)^2, then you shift the graph up 6 units to get y=(x-13)^2+6. Hope this helps!

Answer:

2 seconds

Step-by-step explanation:

[tex]y=-5t^2+20[/tex] (Given)

When acorn will hit the the ground, at that moment y = 0

[tex]\implies 0= -5t^2+20[/tex]

[tex]\implies 5t^2=20[/tex]

[tex]\implies t^2=\frac{20}{5}[/tex]

[tex]\implies t^2=4[/tex]

[tex]\implies t=\pm\sqrt4[/tex]

[tex]\implies t=\pm 2[/tex]

Time can not be negative.

[tex]\implies t\neq-2[/tex]

[tex]\implies t=2\:seconds[/tex]

Answer:

[tex]( - 1,2 \frac{1}{2} )[/tex]

Step-by-step explanation:

[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )}[/tex]

Thus, midpoint

[tex] = ( \frac{4 - 6}{2} , \frac{8 - 3}{2} ) \\ = (\frac{ - 2}{2} , \frac{5}{2} ) \\ = ( - 1,2 \frac{1}{2} )[/tex]

Answer:

See below.

Step-by-step explanation:

We know that the equation [tex]4x+16y=36[/tex] is a true equation for a particular value of x.

Now, let's see what happens if we divide everything by 4. In other words:

[tex]\frac{4x+16}{4}=\frac{36}{4}[/tex]

Divide:

[tex]x+4=9[/tex]

So, we get [tex]x+4=9[/tex].

When we divided everything by 4, we used the division property of equality. Under this property, the equation remains the same even if we divided since we did the same thing to both sides of the equation.

Therefore, [tex]x+4y=9[/tex] is also true for the same value of x because it is just a simplified version of [tex]4x+16y=36[/tex].

Answer: f is the dependent variable

Step-by-step explanation:

A variable that depends on one or more other variables. For equations such as letter f = 0.73g +16.8, the dependent variable is letter f. The value of letter f depends on the value chosen for g. Usually the dependent variable is isolated on one side of an equation.

I am pretty sure the answer is 37 more bags.

Kendall need 33 more bags of popcorn to be sold.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given that, Kendall is selling bags of popcorn to raise money for her soccer team. If she has raised $104 so far and the popcorn bags cost $8 each, she needs to raise $400, we need to find how many more must she sell in order to raise at least $400.

Let she needs to sell x more bags of popcorn,

Therefore,

140 + 8x = 400

8x = 260

x = 32.5 ≈ 33

Hence, Kendall need 33 more bags of popcorn to be sold.

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Answer:

(1,2)

Step-by-step explanation:

look at the slope

pick two points that connect like Γ

list which one connects to x and which one connects to y

h= 28°

(Vertically opposite angles are equal)

Step-by-step explanation:

Answer: the actual speed of the car is 65 and the other part is

"he used change in x coordinates/change in y coordinates to find a unit rate not change in y-coordinates/change in x coordinates"

Step-by-step explanation:

sorry, hope this isnt too late and hope this helps you!! <3

sorry put a answer then i realized we didn’t have the same numbers

It will take 8 weeks to Tom to achieve his goal.

The amount earned by him is given by multipliy number or hours and eaning in a hour.

Given

Tom has a goal of saving enough money to buy a new set of rims for his car.

Tom makes $7. 50 an hour take home pay at his job working 15 hours per week.

The earning of Tom in an hour = $7.5

If tom worked 15 hours in a week, then the amount earned by him in one week is;

[tex]=15\times 7.5\\\\=112.5[/tex]

The required amount to achieve his goal = $900

The number of week he need to work to achieve his target is;

[tex]= \dfrac{900}{112.5}\\\\= 8[/tex]

Hence, It will take 8 weeks to Tom to achieve his goal.

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Answer:

x = -6

Step-by-step explanation:

we can see that x=-6 when y=2 on the graph

Answer:

-4 should be the answer

good luck

Answer:

Claire traveled for 9 days.

Step-by-step explanation:

Given:

Total Distance traveled = 701 miles

Distance traveled each day = 80 miles

Distance traveled on last day = 61 miles

We need to find the number of days Claire traveled.

Solution:

Let the number of days Claire traveled be denoted by 'd'.

Now we can say that;

Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.

framing in equation form we get;

Now Subtracting both side by 61 using Subtraction Property of Equality we get;

Now Dividing both side by 80 we get;

Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total 9 days of travel.

Answer:

All you need to do is find the reciprocal and switch the exponent to a negative. The answer is 8^-6

Step-by-step explanation:

Answer: 8^-6

Step-by-step explanation:

got it right from the answer above

Answer:

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.  

If someone prefers to study music, the probability the person is in HS is about 44%.

Step-by-step explanation:

In the music column, we see that

total people who prefer to study with music =   153

high school students = 68

So, probability of high school students who study with music

= 68/153

= 0.44

= 44%.

College students = 85

Probability of college students who prefer to study with music

=  85/153

= 0.56

= 56%.

So, the correct statements are :

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.  

If someone prefers to study with music, the probability the person is in HS is about 44%.

Answer:

3 and 5

Step-by-step explanation:

2022

Answer:

Step-by-step explanation:

1. solution

160 gallons = 2 min

160 x 5 = 2 x 5

800 gallons = 10 min

2. solution

160 x 19 = 2 x 19

2880 = 36

So

approximately 38 min

Answer:

x = 5

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 4^2 = x^2

9 + 16 = x^2

25 = x^2

√25 = √x^2

x = 5

Answer:

The value of a ratio is:

Option 2, The quotient of the two quantities in the ratio.

Step-by-step explanation:

Hope this helps you out! ^^

Answer:

a=14

b=-5

c=3

Step-by-step explanation:

14 divided by 7 will give 2.

Using laws of indices {a^x/a^y}=a^x-y,using that law(-5-4 will give -9 bringing the -9 downward will make it positive )

same too for y

Hey there!

Formula:

SUM of all numbers / TOTAL numbers you have in your data plot

EQUATION:

(10 + 10 + 13 + 14 + 16 + 19 + 23) / 7

10 + 10 + 13 + 14 + 16 + 19 + 23
= 20 + 13 + 14 + 16 + 19 + 23

= 33 + 14 + 16 + 19 + 23

= 47 + 16 + 19 + 23

= 63 + 19 + 23

= 82 + 23

= 105

105 / 7

= 15

So, therefore the answer is: Naeem's Work. Start fraction 10, 10, 13, 14, 16, 19, 23 Over 7 end fraction = StartFraction 105 Over 7 end fraction = 15 (Option A.)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: First option: Line FG

Step-by-step explanation:

Intersection points will be those points that belong to both lines.

We have the lines Line FG and Line GF.

Line FG: This is the line that connects the point F and the point G.

Line GF: this is the line that connects the point G and the point F.

Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.

Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"

Then the interception is the whole Line FG.

Answer:First option: Line FG First option: Line FG

Step-by-step explanation:

Intersection points will be those points that belong to both lines.

We have the lines Line FG and Line GF.

Line FG: This is the line that connects the point F and the point G.

Line GF: this is the line that connects the point G and the point F.

Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.

Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"

Then the interception is the whole Line FG.

(-7)¹ x (-7)⁻⁴ = (-7)⁻⁵

Answer:

I think your answer is h = -1

Answer:

-8h+13=3

-8h=3-13

_8h=_10

h=5\4

Answer:

Step-by-step explanation:

y = 66x - 1200

The charity organisation has to sell a number of tickets to cover their production costs of $1,200. It is given that after selling 200 tickets they retain a net profit of $12,000. Net profit is deduced as: Total sales - total costs. Sales is calculated as total tickets x selling price per ticket.

If we let b represent the sales earned from selling tickets, then:

Net profit = total sales - total costs

12,000 = 200b - 1,200

We can then solve for b by taking the 1200 to the other side of the equal sign. When we do that the sign of that number changes. This is also the same as adding 1200 to both sides of the equal sign:

∴12000 + 1200 = 200b

13200 = 200b

To get the price of one single ticket, b, we need to divide both sides by 200.

∴ b = 66

This means that each ticket's selling price is $66.

So when when we take it back to the calculation of net profit then it becomes:

Net profit = total sales - total costs

y = 66x - 1200

To test:

y = 66x - 1200

= 66 (200 tickets) - 1200

= $12,000

Using the formula for the area and circumference of a circle, we have the following answers:

1. radius = 2 in. (given)

Diameter = 4 in.

Circumference = 12.56 in.

Area = 12.56 in.²

2. radius = 10 in.

Diameter = 20 in. (given)

Circumference = 62.8 in.

Area = 314 in.²

3. radius = 5 in.

Diameter = 10 in. (given)

Circumference = 31.4 in.

Area = 78.5 in.²

4. radius = 20 in.

Diameter = 40 in. (given)

Circumference = 125.6 in.

Area = 1,256 in.²

5. radius = 18 in. (given)

Diameter = 36 in.

Circumference = 113.04 in.

Area = 1,017.36 in.²

6. radius = 8 in. (given)

Diameter = 16 in.

Circumference = 50.24 in.

Area = 200.96 in.²

7. radius = 12 in. (given)

Diameter = 24 in.

Circumference = 75.36 in.

Area = 452.16 in.²

8. radius = 16 in.

Diameter = 32 in. (given)

Circumference = 100.48 in.

Area = 803.84 in.²

9. radius = 15 in. (given)

Diameter = 30 in.

Circumference = 94.2 in.

Area = 706.5 in.²

1. radius = 2 in. (given)

Diameter = 2(2) = 4 in.

Circumference = πd = π(4) = 12.56 in.

Area = πr² = π(2²) = 12.56 in.²

2. radius = 1/2(20) = 10 in.

Diameter = 20 in. (given)

Circumference = πd = π(20) = 62.8 in.

Area = πr² = π(10²) = 314 in.²

3. radius = 1/2(10) = 5 in.

Diameter = 10 in. (given)

Circumference = πd = π(10) = 31.4 in.

Area = πr² = π(5²) = 78.5 in.²

4. radius = 1/2(40) = 20 in.

Diameter = 40 in. (given)

Circumference = πd = π(40) = 125.6 in.

Area = πr² = π(20²) = 1,256 in.²

5. radius = 18 in. (given)

Diameter = 2(18) = 36 in.

Circumference = πd = π(36) = 113.04 in.

Area = πr² = π(18²) = 1,017.36 in.²

6. radius = 8 in. (given)

Diameter = 2(8) = 16 in.

Circumference = πd = π(16) = 50.24 in.

Area = πr² = π(8²) = 200.96 in.²

7. radius = 12 in. (given)

Diameter = 2(12) = 24 in.

Circumference = πd = π(24) = 75.36 in.

Area = πr² = π(12²) = 452.16 in.²

8. radius = 1/2(32) = 16 in.

Diameter = 32 in. (given)

Circumference = πd = π(32) = 100.48 in.

Area = πr² = π(16²) = 803.84 in.²

9. radius = 15 in. (given)

Diameter = 2(15) = 30 in.

Circumference = πd = π(30) = 94.2 in.

Area = πr² = π(15²) = 706.5 in.²

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