"Five times a number minus seven is equal to the opposite of eleven."

Answer:

y = 2,500x + 5,000

Rate of change = $2500 a year

Initial value = $5000

Step-by-step explanation:

We have 3 values to figure what is the function here, the rate of change, and the initial value.

To find the initial value, find where y is located where x is 0. In this case it's $5000, so that's the initial value.

Now the rate of change. Find y where x is 1. That is $7,500. Subtract $5000 from to get the rate of change, since it's the same. It's constant because of a straight diagonal line.

$7,500 - $5,000 = +$2,500/year

Now the equation. This is not proportional, because y's starting point is not 0. It's greater than that, so an addition sign is in the equation. Do you remember our initial value? That's right! It was $5,000, so put that after the addition sign.

y = ????x + 5,000

You also need to remember the rate of change, which was 2,500. Put that on the left of the addition sign and there's your equation!

y = 2,500x + 5,000

Answer:

y=2500x + 5000

2500

5000

Step-by-step explanation:

Answer:

Discounted price= $16.792

Step-by-step explanation:

Giving the following information:

The extra data costs are $20.99 monthly, but they're offering 20% off that.

To calculate the discounted price, we need to use the following formula:

Discounted price= normal price*(1 - discount rate)

Discounted price= 20.99*0.8

Discounted price= $16.792

Answer:

1/4

Step-by-step explanation:

-2 2/5 + 3 1/4 - 3/5

-12/5 + 13/4 - 3/5 =

1/4

Answer:

a. 76 b. 190

Step-by-step explanation:

a. Number of white lights

Since the ratio of blue lights to white lights is 3 to 2 and the number of blue lights is 114, it follows that 3 : 2 = 114 : x where x is the number of white lights.

So, 3/2 = 114/x

cross-multiplying,

3x = 114 × 2

3x = 228

x = 228/3

x = 76

b. Total number of lights

So, the total number of lights is thus number of blue lights + number of white lights = 114 + 76 = 190

Answer:

60º

Step-by-step explanation:

Answer:

x = [tex]\frac{4+5y}{y+3}[/tex]

Step-by-step explanation:

Given

y = [tex]\frac{4-3x}{x-5}[/tex] ( multiply both sides by x - 5

y(x - 5) = 4 - 3x ( distribute left side )

xy - 5y = 4 - 3x ( add 3x to both sides )

xy + 3x - 5y = 4 ( add 5y to both sides )

xy + 3x = 4 + 5y ← factor out x from each term on the left side

x(y + 3) = 4 + 5y ← divide both sides by y + 3

x = [tex]\frac{4+5y}{y+3}[/tex]

Replace x with a couple of numbers, solve for Y them mark those points on the graph and connect with a line.

See picture:

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex] |12| + | - 15| = [/tex]

[tex]12 - ( - 15) = [/tex]

[tex]12 + 15 = [/tex]

[tex]27[/tex]

Thus the correct answer is the last option .

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Answer:

[tex] \boxed {27}[/tex]

Step-by-step explanation:

All negative numbers in the absolute sign will become positive.

[tex] |a| = a \: \: \: \: \: \: \: (a \geqslant 0) \\ |a| = - a \: \: \: \: \: \: (a < 0)[/tex]

Therefore we evaluate | - 15 | = 15

[tex]12 + 15 = \red {27}[/tex]

Answer:

I’m pretty sure it’s just 3x^2

Step-by-step explanation:

6x^3/2x^4= 3x^-1

(3x^-1)2= 3x^2

Answer:180

Step-by-step explanation:

Since 15% of 400=60 and 40%=160 the total of this combined is 220. 400-220=180 which is the amount of purple marbles

Answer:

$37

Step-by-step explanation:

Delivery fee- $10

each sandwich- $4.50

Sandwiches ordered- 6

4.50(6)+10=37

6 Cakes man 6 cakes 42*2 3*2

Answer:

Step-by-step explanation:

Let the unknown value be x

[tex]42 = 3\\84 =x\\\\[/tex]

Cross Multiply

[tex]42\times x = 84\times 3\\\\42x = 252[/tex]

Divide both sides of the equation by 42

[tex]\frac{42x}{42} = \frac{252}{42} \\\\Simplify\\\\x =6[/tex]

Answer:

1st Option is correct

Step-by-step explanation:

Just keep adding 150 to see the results

Answer:

(-6,0.5)

Step-by-step explanation:

(-9 + -3)÷2= -6

(-4 + 5)÷2=0.5

(-6,0.5)

Answer:

30

Step-by-step explanation:

3 times 30 = 90 - 2(for the six she already had) so 30

i think

Answer:

80m - (12+4) = x

Step-by-step explanation:

Hope this helps! I mean its self explanatory

Answer:

$38.75

Step-by-step explanation:

We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.

Answer:

ΔPQR and ΔSTU are not similar.

Step-by-step explanation:

The two triangles look distinguishable from each other.

Answer:

Its (5 , 1 )

Step-by-step explanation:

because it is

Answer:

(2,-2) because the x axis goes from right to left and the y axis goes up and down

Step-by-step explanation:

Answer:

I know algebra ll

i can help :D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

This warm-up prompts students to carefully analyze and compare quadratic expressions. In making comparisons, students need to look for common structure and have a reason to use language precisely (MP7, MP6). The activity also enables the teacher to hear the terminology students know and how they talk about characteristics of the different forms of expressions.

As students discuss in groups, listen for rationales that are based on the structure of the expressions. Select those students or groups to share their thinking during class discussion.

Launch

Arrange students in groups of 2–4. Display the expressions for all to see. Give students 1 minute of quiet think time and then time to share their thinking with their small group. In their small groups, ask each student to share their reasoning about why a particular item does not belong, and together find at least one reason each item doesn't belong.

Student Facing

Which one doesn’t belong?

A.

B.

C.

Answer:

86

Step-by-step explanation:

36 + 4 = 40 x 2 =80  

36 x 2 = 82 = 4 - 86

Hope it helps!

The special number was supposed to be; 76

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

For age 'a', the special number was

 2a +4

Tammi's mother actually calculated it as;

 2(a +4) = 2a +8

Now a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.

The special number was supposed to be;

80 -4 = 76.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Answer:

100

Step-by-step explanation:

got it right on edg

Step-by-step explanation:

Since UV bisects TW, TW also bisects UV.

=> Line segments UV and TW bisect each other.

=> 4y - 3 = 2y + 1 and 3x + 8 = 3y + 2

=> 2y = 4 and 3x = 3y - 6

=> y = 2 and x = y - 2

=> y = 2 and x = (2) - 2

=> y = 2 and x = 0.

Answer:

y= 181/7 or 25.86

i really dont know about x

Answer:

[tex]Area = 2900[/tex]

Step-by-step explanation:

Given

[tex]A (x_1,y_1) = (40,20)[/tex]

[tex]B (x_2,y_2) = (80,20)[/tex]

[tex]C (x_3,y_3) = (100,70)[/tex]

[tex]D (x_4,y_4) = (40,70)[/tex]

Required

Determine the Area

The area of the section is:

[tex]Area = \frac{1}{2}|(x_1y_2 + x_2y_3 + x_3y_4 + x_4y_1) - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_1)|[/tex]

Substitute values for the x's and y's

[tex]Area = \frac{1}{2}|(40 * 20 + 80*70 + 100*70 + 40*40) - (20*80 + 20*100 + 70*40 + 70*40)|[/tex]

[tex]Area = \frac{1}{2}|15000 - 9200|[/tex]

[tex]Area = \frac{1}{2}|5800|[/tex]

[tex]Area = \frac{1}{2} * 5800[/tex]

[tex]Area = 2900[/tex]

Hence, the area of the section is 2900ft^2

Answer:

y = (2/5)x -1

Step-by-step explanation:

Answer:y is (2/5) x minus 1

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

10/4 simplified is

5/2 multiply this by 3

15/6

Step-by-step explanation:

I suggest you to use calculator for this to avoid careless mistakes

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer:

Part A)

2nd and 5th choice.

Part B)

[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]

Step-by-step explanation:

For the given parabola, our focus is (-3, 2), and our directrix is given by y = 4.

Part A)

We are given a point (x, y) on the parabola.

Since our directrix is an equation of y, the distance from (x, y) to the directrix will simply be the absolute value of the difference in y-values. So:

[tex]d_1=|y-4|=|4-y|[/tex]

Recall the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Our distance from (x, y) to the focus (-3, 2) can be determined using the distance formula. Let (x, y) be (x₂, y₂) and let our focus (-3, 2) be (x₁, y₁). Therefore:

[tex]d_2=\sqrt{(x-(-3))^2+(y-2)^2}=\sqrt{(x+3)^2+(y-2)^2[/tex]

Hence, for Part A, our answers are the 2nd and 5th choices.

Part B)

Recall that by the definition of a parabola, any point (x, y) on it is equidistant to the directrix and focus. Hence:

[tex]\sqrt{(x+3)^2+(y-2)^2}=|y-4|[/tex]

Solve for y. Square both sides. We may remove the absolute value since anything squared is positive:

[tex](x+3)^2+(y-2)^2=(y-4)^2[/tex]

Square:

[tex]x^2+6x+9+y^2-4y+4=y^2-8y+16[/tex]

Rearrange:

[tex](x^2+6x+13)+(-16)=(y^2-y^2)+(-8y+4y)[/tex]

Combine like terms:

[tex]x^2+6x-3=-4y[/tex]

Divide both sides by -4. Hence, our equation is:

[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]

Heyo! :D

Distance to the directrix is |y - 4|.

Distance to the focus is [tex]\sqrt{(x+3)^2+(y-2)^2}[/tex].

Hope this helps! If so, please lmk! Tysm and good luck!

Answer:

25.2 gallons per week

Step-by-step explanation: