What is the value of the expression below?

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = 7x - 8 → (1)

y = 5x - 2 → (2)

A

Solving by substitution

Substitute y = 7x - 8 into (1)

7x - 8 = 5x - 2 ( subtract 5x from both sides )

2x - 8 = - 2 ( add 8 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 7(3) - 8 = 21 - 8 = 13

Solution is (3, 13 )

B

The point of intersection of the graph of the 2 equations is the solution to the above equations.

That is point of intersection = (3, 13 )

Answer:

X=4

Step-by-step explanation:

I'm took lazy to explain it step by step sorry, but I'm positive that's the correct answer.

Answer:

4

Step-by-step explanation:

(4 - 18)( x+ 3) (-1)= 8 - 72 +162

-14(x+3)(-1) = 98

14(x+3) =98

x+3 = 98÷14

x+3=7

x= 7-3=4

Answer:

38.774

Step-by-step explanation:

Answer:38.774

Step-by-step explanation:

Answer:

It is 50 mph

Step-by-step explanation:

Answer: 17%

Step-by-step explanation:

A shop keeper purchased 200 bulbs for Rs.10 each. Therefore, the cost price:

= 200 × 10

= 2000

Since 5 bulbs were fused and had to

be thrown away and the remaining were sold at Rs.12 each. Therefore, selling price would be:

= 195 × 12

= 2340

Gain would be:

= 2340 - 2000

= 340

Gain percent would be:

= Gain / Cost price × 100

= 340/2000 × 100

= 17%

Answer:

60 cups

Step-by-step explanation:

Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups.

From the above question:

1 gallon of juice = 16 cups

Then:

4 gallons of juice = c

Cross Multiply

1 × c = 4 × 16 cups

c = 64 cups of juice

Hence, 4 gallons of juice = 64 cups of juice

We are told that :

After the party, 4 cups of juice were left over.

The cups of juice people drank at the party is calculated as:

Total cups of juice - Number of cups of juice left over.

64 cups of juice - 4 cups of juice

= 60 cups of juice

Answer:

1/10

Step-by-step explanation:

A number line is a line which contains numbers marked at intervals (usually regular intervals). Points to the right of the origin are positive numbers while those to the left are negative numbers.

The school is used as the origin. Ellie house is 1 and three fifths blocks east (to the right) of the school. This means that it is + 1 and three fifths (+8/5).

Chase house is 1 and one half blocks (3/2) west of Ellie. Since it is west then it is to the left. Hence the coordinate of chase house = 8/5 - 3/2 = 1/10

Hence the coordinate of chase house is 1/10(one tenths).

The error may be as a result of thinking chase house is to the east of Ellie, hence adding to get  3 and one tenth.

Answer:

Step-by-step explanation:

First rewrite the first term as:

Now the sum is:

Answer:

To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.

Step-by-step explanation:

Proportions

The hybrid car can travel 40 miles per gallon.

Since one mile is equivalent to 1.6 Km, the distance traveled per gallon is 40*1.6 = 64 Km.

Now the distance is expressed in Km, we can find the gallons needed to travel 20 Km, by calculating 20/64 = 0.3125.

To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.

Answer:

mince is the answer

Answer:

[tex]m = -\frac{3}{2}[/tex]

Step-by-step explanation:

Given

x 2 4 6 8

y 1 -2 -5 -8

Required

Determine the slope

First, pick any two corresponding x and y values.

[tex](x_1,y_1) =(2,1)[/tex]

[tex](x_2,y_2) =(8,-8)\\[/tex]

The slope (m) is then calculated using:

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

Substitute in, the x and y values

[tex]m = \frac{1 - (-8)}{2- 8}[/tex]

[tex]m = \frac{1 +8}{-6}[/tex]

[tex]m = \frac{9}{-6}[/tex]

[tex]m = -\frac{9}{6}[/tex]

Divide numerator and denominator by 3

[tex]m = -\frac{9/3}{6/3}[/tex]

[tex]m = -\frac{3}{2}[/tex]

Hence, the slope is -3/2

Answer:

Is -3/2.

Step-by-step explanation:

I just took the test!

Answer:

C

Step-by-step explanation:

Answer:

Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.

Answer:

Perpendicular Line Theorems

Step-by-step explanation:

If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. If two sides of two adjacent angles are perpendicular, then the angles are complementary. If two lines are perpendicular, then they intersect to form four right angles.

Answer: this relationship has a constant rate because the pattern will stay as buy three get the 4th one free

Step-by-step explanation:

Answer:

A varying rate of change.

Step-by-step explanation:

He will have spend 1 dollar for one song, making that point (1,1), 2 dollars for two songs (2,2), 3 dollars for 3 songs (3,3), but when he buys a fourth song, which is free, he has still only spent 3 dollars, making the point (4, 3).

(That's with the amount of songs as the x value and money spent as the y-value)

Answer:For one bush it would be $185 and for one tree it would be $189.

Step-by-step explanation:185 + 189 = 374

The equation that represent the number of students in High School A at time t is AA =  500 + 80tt.

The equation that represent the number of students in High School B at time t is BB = 700 + 30tt.

The number of students when both schools would have the same number of students is 820.

The equation that represent the number of students in High School A :

current number of students + (number of years x rate of increase)

AA =  500 + 80tt.

The equation that represent the number of students in High School B at time t is:

current number of students + (number of years x rate of increase)

BB = 700 + 30tt.

When the schools would have the same number of students, the two equations would be equal:

700 + 30tt = 500 + 80tt

700 - 500 = 80tt - 30tt

200 = 50tt

tt = 200 / 50

tt = 4

Population = 500 + (80 x 4)

500 + 320 = 820

To learn more about linear equations, please check: https://brainly.com/question/26434260

#SPJ1

Answer:

Study Harder

Step-by-step explanation:

Answer:

Step-by-step explanation:

given: (2,1) & (5-8)

first find the slope,

m= (Y2-Y1) / (X2-X1)    

m=(-8-1)/(5-2)

m=(-9)/(3)

m=-3

we have y=-3x+b

use any point to sub in x and y

1=-3(2)+b

1+6=b

b=7               therefore, y=-3x+7 is the equation

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1 ), then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line

Answer:

i think b,c,d and f

Step-by-step explanation:

Answer:

.52

Step-by-step explanation:

math ting

Answer:

Ë

Step-by-step explanation:

Im literally going to poop my pants that is SO scawwwy. I deserve compensation for this. My lawyers are coming after you

Answer:

i looked behind me and yes i did see a monster, my brother

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

1/3+1/2=5/6

1) find common denominator

2) Add top number and then add bottom

Answer:

The probability is 0.694

Step-by-step explanation:

Let the probability of getting a car washed be

P(W) = 72% = 0.72

Let the probability of getting a car vacuumed be

P(V) = ?

Probability of getting car washed and vacuumed is P(W n V) = 50% = 0.5

From Bayes’ theorem

P(V|W) is the probability that a customer gets their car vacuumed given that they are getting it washed

So mathematically;

P(V|W) = P(V n W)/P(W)

= 0.5/0.72 = 0.694

Answer:

Step-by-step explanation:

Given the expression ax+by = c, the y intercept of the line occurs at when x = 0

Substitute x = 0 into the expression and get the value of y

ax+by = c

a(0)+by = c

0+by = c

by = c

divide both sides by b

by/b = c/b

y = c/b

Hence the y intercept of the line occurs at y c/b

Answer:

Bond Price​= $108,175.71

Step-by-step explanation:

Giving the following information:

Face value= $100,000

Coupon rate= 0.05/2= 0.025

YTM= 0.04/2= 0.02

Time period= 10*2= 20 semesters

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

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 2,500*{[1 - (1.02^-20)] / 0.02} + [100,000/(1.02^20)]

Bond Price​=  40,878.58 + 67,297.13

Bond Price​= $108,175.71

In this exercise we have to use the knowledge of finance to calculate the stipulated value through the percentages, thus we find that:

Bond Price will be  [tex]\$108,175.71[/tex]

From the information given in the text we found that:

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

[tex]Bond\ Price = cupon*{[1 - (1+i)^{-n}] / i} + [face \ value/(1+i)^n][/tex]

So with the formula already informed we will replace the values ​​given in the text find what we want.

[tex]Bond \ Price = 2,500*{[1 - (1.02^{-20})] / 0.02} + [100,000/(1.02^{20})]\\Bond Price= 40,878.58 + 67,297.13\\Bond Price= \$108,175.71[/tex]

See more about finances at: brainly.com/question/10024737

Given:

[tex]5^2\times 5^{x-5}=625[/tex]

To find:

The value of x.

Solution:

We have,

[tex]5^2\times 5^{x-5}=625[/tex]

It can be written as

[tex]5^2\times 5^{x-5}=5\times 5\times 5\times 5[/tex]

Using property of exponents, we get

[tex]5^{2+x-5}=5^4[/tex]            [tex][\because a^m\times a^n=a^{m+n}][/tex]

[tex]5^{x-3}=5^4[/tex]

Comparing the exponents on both sides, we get

[tex]x-3=4[/tex]

Adding 3 on both sides, we get

[tex]x=4+3[/tex]

[tex]x=7[/tex]

Therefore, the value of x is 7.

Answer:

SOLVE FOR C

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2

3

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=0

SOLVE FOR X

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x=

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(

5−c

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+

3

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)

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; x=

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3

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(−

5−c

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+

3

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)

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x=−

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1

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,

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c

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c=2

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