Which system of equations does the graph represent?

A) y = 2x + 2
y = -3x + 4

B) y = x + 2
y = -x + 4

C) y = 2x + 4
y = -3x + 2

D) y = -x + 2
y = x + 4

Questions (contd)

(a) For what amount of driving do the two plans cost the same?

(b) What is the cost when the two plans cost the same?

Answer:

(a) 100 miles

(b) $65

Step-by-step explanation:

Given

Plan 1:

[tex]Initial\ Fee = \$57[/tex]

[tex]Additional = \$0.08[/tex] per mile

Plan 2:

[tex]Initial\ Fee = \$50[/tex]

[tex]Additional = \$0.10[/tex] per mile

Solving (a): Number of miles when both plans are equal

Represent the distance with x and the cost with y

So:

Plan 1:

[tex]y = 57 + 0.08 * x[/tex]

Plan 2:

[tex]y = 50 + 0.10 * x[/tex]

To solve (a), we equate both plans together; i.e.

[tex]y = y[/tex]

[tex]57 + 0.08x = 50 + 0.10x[/tex]

Collect Like Terms

[tex]0.08x - 0.10x= 50 - 57[/tex]

[tex]-0.02x= -2[/tex]

Solve for x

[tex]x = -2/-0.02[/tex]

[tex]x = 100[/tex]

Hence, 100 mile would cost both plans the same

Solving (b): Cost when both plans are the same:

In this case, we simply substitute 100 for x in any of the y equation.

[tex]y = 57 + 0.08 * x[/tex]

[tex]y = 57 + 0.08 * 100[/tex]

[tex]y = 57 + 8[/tex]

[tex]y = 65[/tex]

Hence, the amount is $65

Answer:

125*125

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Answer:

The height of the flagpole is 36 feet

Step-by-step explanation:

The given parameters are;

The height of the street light = 10 feet

The shadow cast by the streetlight = 2.5 feet

The shadow cast by the flagpole = 9 foot

The height of the flagpole is given as follows;

The height of the street light/(The shadow cast by the streetlight) = (The height of the flagpole)/(The shadow cast by the flagpole)

∴ The height of the flagpole = (The shadow cast by the flagpole) × (The height of the street light)/(The shadow cast by the streetlight)

By substituting the values, we get;

The height of the flagpole = 9 ft. × 10 ft./2.5 ft. = 36 feet

The height of the flagpole = 36 feet.

Answer:

Se la voy a dar., Se la voy a dar, se la voy a dar., se la voy a dar, Se la voy a dar a Juan., Se la voy a dar a Juan, se la voy a dar a Juan., se la voy a dar

Step-by-step explanation:

Answer:

[tex] \underline{\boxed{if \: y = 2x + \frac{2}{3} \to \: the \: slope\to \boxed{m = 2} }}\\ \underline{\boxed{if \: y = - \frac{1}{2} x - 3 \to \: the \: slope\to \boxed{m = - \frac{1}{2} } }}\\ \underline{\boxed{ if \: y = \frac{2}{3} x\to \: the \: slope\to \boxed{m = \frac{2}{3} }}}\\ [/tex]

Answer:

B' (0,-4)

Step-by-step explanation:

When a point undergoes a reflection across the x-axis, it follows this transformation:

(x, y) --> (x, -y)

(0, 4) --> (0, -4)

Answer:

2.57575758

Explanation:

42.5 / 16.5

Answer:

the answer would be

Step-by-step explanation:

i hope this helped

If you add all four together, you get a %400 increase

Answer:

7

Step-by-step explanation:

If line l is parallel to line m, therefore:

[tex] 16x + 22 = 134 [/tex] (alternate exterior angles are congruent)

Subtract 22 from each side

[tex] 16x + 22 - 22 = 134 - 22 [/tex]

[tex] 16x = 112 [/tex]

Divide both sides by 16

[tex] \frac{16x}{16} = \frac{112}{16} [/tex]

[tex] x = 7 [/tex]

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Answer:

3, 6, 15, 12, 33, 16, 3a, 4b

All the fractions can simplify to 2/3

Answer:

3, 6, 15, 12, 33, 16, 3a, 4b

Step-by-step explanation:

re the same except you have to add the variable letter in front of them.You can multiply or divide 4/6 to fill in the blanks for the other ones. The last 2 with variables are the exact same, but you have to add the variable letter as well. Please correct me if I am wrong because everybody makes mistakes.      

Answer:

The answer is 1.5

Step-by-step explanation:

Answer:

The scale factor is = 1.5

Step-by-step explanation:

Trust me bro

the answer is -8/5

ur welcome lolz

Answer:

The slope is -1.6

Answer:

The value that completes the square is: c=8

Step-by-step explanation:

Find the value of c that completes the square  [tex]x^2-16x+c[/tex]

The formula used is: [tex]a^2-2ab+b^2=(a-b)^2[/tex]

In the question given the value c can be found by breaking the middle term. we are given -16x while the general formula is 2ab for middle term so,

2(x)(8) = 16x

so, c= 8

Solving:

[tex]x^2-16x+c\\=x^2-2(x)(8)+(8)^2-(8)^2\\=(x-8)^2-64[/tex]

So, the value that completes the square is: c=8

Answer: I think it 616lbs not 100% sure

Step-by-step explanation:

10^2 = 100 + 64 sweet potatoes = 164

10^1 = 10+80 tangerines= 90

10^3= 300 + 62 spaghetti squash = 362

full answer:

As we know that

The domain of a relation is defined as the set of all possible independent values the relation can really take - basically the group of all possible inputs.

The range of a relation is defined as the set of all possible dependent values the relation can generate from the domain values - basically the group of all possible outputs.

As

The domain is the set of independent values, meaning the set of x-coordinates of the ordered pairs as x is an independent variable.  

The range is set of dependent values, meaning the set of y-coordinates of the ordered pairs as y is an independent variable.

So, in the set of ordered pairs of a relation

Answer:

(in the image)

Step-by-step explanation:

for the slope one - both triangle a and b have a slope of 5/3 (b's goes from 15/9 to 5/3 because of simplifying)

for the second one - 5/3=15/9 because the sides of both triangles correspond

My Answer to that:

5 - 3= 15 - 9 (Statement)- 5/3 = slope (Reason)

Definition of slope (Statement) - triangle A is similar to triangle B (Reason)

- sorry if wrong but that is the answer I would put

9514 1404 393

Answer:

  8 seconds

Step-by-step explanation:

Your answer is the time interval at which the projectile is at or above ground level.

The way I read the question, it is asking for the value of t when the projectile hits the ground. It is 8 (seconds). My answer to this question would be 8, or 8 seconds.

__

Comment

We cannot tell whether the answer is intended to include units, or not. The usual clues are missing here.

Answer:

2450 J

Step-by-step explanation:

mass(m)=25kg

height(h)=10m

gravity(g)=9.8

now,

PE=mgh

=25×10×9.8

=2450J

ANS

Answer:

c

Step-by-step explanation:

c i think

Answer:

(D). (8, - 5)

Step-by-step explanation:

Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)

Coordinates of the midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

(x² - 10x + 25) + (y² + 2y + 1) = 25

(x - 5)² + (y + 1)² = 5²

(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)

5 = (2 + x) / 2 ⇒ x = 8

- 1 = (3 + y) / 2 ⇒ y = - 5

(D). (8, - 5)

Answer:

22% because her taxable income will now be 40,000 dollars

Step-by-step explanation:

Answer:

15% Plato

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

y = -4/3x - 6

Step-by-step explanation:

1. Find the slope. Since we know that a line perpendicular to another is it's opposite reciprocal, or the product of the two is equal to -1, we can find the slope. -4/3 times 3/4 is -1, so -4/3 would be the slope of this line.

2. Plug in the point and slope into the slope-point equation. The equation would be y - 2 = -4/3 * (x + 6).

3. Simplify. The simplified equation would be y = -4/3x - 6.

Answer: y = -4/3x - 6

There's a pretty simple formula to follow: count of multiples [tex]*[/tex] average of the multiple.

To find the average, we take the smallest multiple of 4 which is in the range of 1 and 150 which is 4 of course. And the largest would be 148 since that's the only number in the range. So now average them: [tex]\frac{4 + 148}{2} = \frac{152}{2} = 76[/tex]

Now we find the count of the multiples which is in the range of 1 to 150. To do that, we use this formula:

[tex]\frac{\text{largest multiple} - \text{smallest multiple}}{n} \\[/tex]

Here, [tex]n[/tex] is 4 so this would be:

[tex]\frac{148-4}{4} = \frac{144}{4} = 36[/tex]

This would give you the exclusive count of all the numbers, but we want the inclusive count so, we simple add 1 so the count would be [tex]37[/tex]

Now following the 1st formula we get: [tex]37 * 76 = 2812[/tex]

So the answer would be 2812! :D

And here's the check too:

Answer:

Im 47 and i have no idea

Step-by-step explanation:

thanks for 5 points