College Level Quantitative Reasoning - See Screenshot

Answer:

1. y = 2x - 5

2. y = (-1/3)x

3. y = -4

4. y = (-3/4)x + 7

5. x = 6

6. y = -3x - 8

Step-by-step explanation:

1.

Point 1: (0, -5) Point 2: (-1, -7)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -7 - (-5)     -7 + 5       -2

m = ------------ = ----------- = ---------- = ------ = 2

        x₂ - x₁         -1 - 0           -1           -1

y - y₁ = m (x - x₁)

y - (-5) = 2(x - 0)

y + 5 = 2x - 0

   -5           -5

y = 2x - 5

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2.

Point 1: (0, 0) Point 2: (3, -1)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        -1 - 0            -1

m = ------------ = ----------- = ----------

        x₂ - x₁         3 - 0            3

y - y₁ = m (x - x₁)

y - (0) = (-1/3)(x - 0)

y - 0 = (-1/3)x - 0

   -0                -0

y = (-1/3)x

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3.

Point 1: (0, -4) Point 2: (-5, -4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -4 - (-4)   -4 + 4         0

m = ------------ = ----------- = ---------- = ------ = 0

        x₂ - x₁         -5 - 0          -5          -5

y = -4

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4.

Point 1: (0, 7) Point 2: (4, 4)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        4 - 7            -3

m = ------------ = ----------- = ----------

        x₂ - x₁         4 - 0            4

y - y₁ = m (x - x₁)

y - 7 = (-3/4)(x - 0)

y - 7 = (-3/4)x - 0

   +7               +7

y = (-3/4)x + 7

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5.

Point 1: (6, 0) Point 2: (6, 3)

            (x₁, y₁)              (x₂, y₂)

        y₂ - y₁        3 - 0             3

m = ------------ = ----------- = ---------- = undefined

        x₂ - x₁         6 - 6           0

x = 6

----------------------------------------------------------------------------------------------------------

6.

Point 1: (0, -8) Point 2: (-4, 4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        4 - (-8)      4 + 8       12

m = ------------ = ----------- = ---------- = ------ = -3

        x₂ - x₁         -4 - 0          -4         -4

y - y₁ = m (x - x₁)

y - (-8) = -3(x - 0)

y + 8 = -3x - 0

   -8           -8

y = -3x - 8

I hope this helps!

Answer: 9) 0.42, 2/5, 4.5%

10) 3.34, 3 1/3, 300%

Step-by-step explanation:

The value of the function f(6) on the graph of the linear equation is -1

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The equation of the function is given as

f(x) = 1/3x - 3

The graph of the function is added as an attachment

From the graph, we can see that when x = 6, the value of the function is -1

This means that f(6) = -1

Hence, the value of the function f(6) on the graph of the linear equation is -1

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Answer:

1.Pentagon

2.Rhombus

3.Hexagon

1. The Lisa pay for the filet mignon she purchased at $6.99 per pound is $30.41 pounds.

2. The amount she will pay for the shrimp is $11.8125.

3. The total amount Lisa will pay for the filet mignon and the shrimp is $42.2225.

1. The local grocery store has filet mignon on sale for $6.99 per pound. Lisa bought 4.35 pounds of steak for the dinner party. The amount paid will be:

= 4.35 × $6.99

= $30.41 pounds.

2. Lisa also purchased 2.25 pounds of shrimp at $5.25 per pound. The amount she will pay for the shrimp is:

= 2.25 × $5.25

= $11.8125

3. The total amount Lisa will pay for the filet mignon and the shrimp is:

= $11.8125 + $30.41

= $42.2225

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Answer:

$42.2225

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

To find the percentage of boys in the class, we must know how many boys are in the class.

The class has a total of 45 students. 15 of those students are females, so we know to 45 - 15 is the number of boys.

45-15=30

So now we now that there are 30 boys. To be more specific, 30 boys out of the 45 students. We can look at this as a fraction, which can be changed to a percentage/decimal. ([tex]\frac{30}{45}[/tex])

[tex]\frac{30}{45}[/tex] converted to a percentage is 75. This means that the percentage of boys in the class is 75%

Answer:

7ab(b^4-8)

Step-by-step explanation:

(7ab)(b^4-8)

Answer:

12

Step-by-step explanation:

4.18/6  *  5 over 5

72/6 *5 over 5

72/6 * 5 divided by 5

12.5 divided by 5

12 times 5 over 5

60/5

60 divided by 5

if he had 500.00ghs that has left, he has withdrawn 3,000.00ghs from his bank.

The total amount that Mr. John withdrew from the bank is 1, which is the same as 100%, in other words, the fraction of the amount remaining is 1 minus 1/2 given to his son and 1/3 that was given to his daughter:

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Full question: Mr. John withdrew some of money from the bank .He gave 1/2 to his son and 1/3 to his daughters1)if he had 500.00ghs that has left, how much did he take from his bank

Answer:

;( no se tu problema

The solution to the composite functions are as follows:

The composite functions can be solved as follows:

f(x) = x² / 2

g(x) = x + 2

Therefore,

f(g(x)) = (x + 2)² / 2

f(g(x)) = (x + 2)(x + 2) / 2

f(g(x)) = x² + 2x + 2x + 4 / 2

f(g(x)) = x² + 4x + 4 / 2

Therefore,

g(f(x)) = x² / 2 + 2

g(f(x)) = x² / 2 + 2

Therefore, the solution to the composite functions are as follows:

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The inequality to compare the balances in the accounts x <-26

Based on the given parameters in the question, the balances are given as

Bank Account Balance 1 = -$26

Bank Account Balance 2 is less than Bank Account Balance 1

This above balances can be represented as be expressed as

Bank Account Balance 2 is less than Bank Account Balance 1

So, we have

x is less than Bank Account Balance 1

In this case, the variable x represents balance 2

Express less than inequality using less than inequality symbol <

So, we have the following inequality expression

x < balance 2

Substitute -26 for balance 2

x < -26

Hence, the inequality to compare the balances in the accounts x <-26

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The year in which the approximate number of oil barrels imported from Country B per day would be 4.05 million is 2,015.

A linear equation can be defined as an algebraic equation of the first order that has two (2) variables (x, y) with each of its term having an exponent of one (1).

In Mathematics, the standard form of a linear equation is given by the following:

y = mx + c

Next, we would solve the given linear equation for x:

y = 0.064x + 1.49

Subtracting 1.49 from both sides, we have:

4.05 - 1.49 = 0.064x + 1.49 - 1.49

4.05 - 1.49 = 0.064x

2.56 = 0.064x

x = 2.56/0.064

x = 40.

The year in which the approximate number of oil barrels imported from Country B per day would be 4.05 million is given by:

y = 1975 + x

y = 1975 + 40

y = 2,015.

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Answer:

4/5

Step-by-step explanation:

In order to turn a decimal, in this case 0.8, you'll need to look at the placement of the decimal first. The placement of the decimal here is in the tenths. Thus meaning we will use 10 as the denominator. For the numerator you will use 8. Now we have 8/10. To simplify 8/10 you will divide 8/10 by 2. 8 divided by 2 is 4 (now the numerator). and 10 divided by 2 is 5 (now the denominator). 0.8 would be 8/10 as a fraction and the simplified version of 8/10 is 4/5.

In rectangular pyramid VWXYZ where WX>XY, then slant height VA shorter than the slant height VB.

As given,

In rectangular pyramid VWXYZ,

WX>XY

⇒(WX/2)>(XY/2)

⇒AX>BX

Draw perpendicular height VM and join AM and BM such that MAXB is a rectangle

AM=BX and BM=AX

So, BM>AM  __(1)

In right triangle VMA and VMB,

VA and VB are slant height (hypotenuse)

VM=perpendicular height

AM and BM are base

VA=√VM² + AM²

VB=√VM² + BM²  __(2)

From (1) and (2)

VA<VB

Therefore, in rectangular pyramid VWXYZ where WX > XY, then slant height VA shorter than the slant height VB.

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In order to compare the lengths from the shortest to the longest, we need to convert all the fractions into decimals.

We are given the different lengths of the spool of twine that is being cut.

We have those lengths as:

5 / 6 foot

0.75 foot

4 / 5 foot.

To compare the lengths from the shortest to the longest, we need to first convert all the fractions into decimals.

So, we get that:

5 / 6 foot = 0.83 foot

4 / 5 foot = 0.80 foot

Now, we can arrange the lengths from the shortest to the longest.

0.75 foot, 0.80 foot, o.83 foot.

Therefore, we get that, in order to compare the lengths from the shortest to the longest, we need to convert all the fractions into decimals.

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Your question was incomplete. Please refer the content below:

Sakura is making a mobile. She has a spool of twine that she cuts into

lengths of 5/6 foot, 0.75 foot, and 4/5 foot. The mobile will have pieces twine in lengths in order from shortest to longest. A. What do you need to do before you can compare the lengths?

The position of the periscope on the number line will lie at negative 10 for below sea level and at 18 for above sea level.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that a submarine's periscope rises around 18 feet above sea level when fully deployed. The peak of the periscope is 10 feet below sea level when it is fully extended.

The periscope will be at negative 10 for levels below sea level and at 18 for levels above sea level on the number line. The image of the number line is attached with the answer below.

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The matching of each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)

After matching each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)

Therefore, the matching of each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)

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The complete question is given below:
Match each system of equations to the inverse of its coefficient matrix, A^-1and the matrix of its solution, X.

Answer:

shown in picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Respuesta (ab³+))

The ratio of 8:3 is 2. 67

Ratio can be defined as the mathematical comparison of two or more numbers indicating their sizes in relation to each other.

It also explains how many times a number of element contains another.

It is mathematical represented with the symbol ' : '

From the information given, we have to determine the ratio of 8 and 3

We need to take the quotient or division of the two values.

With this, we have the representation as;

= 8/3

Find the quotient

= 2. 67

Thus, the ratio of 8:3 is 2. 67

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Total hay eaten by horse is 983 pounds.

given,

handy ate 779 pound hay in first month .

in the next month handy ate 204 pounds of hay,

we have to add both the numbers ,204+779

=983pounds.

so,

the total amount of hay eaten by handy is 983 pounds.

The addition formula is the statement that shows an addition fact and is expressed as, addend + addend = sum.

Long addition is a process for adding numbers together.

Stack your numbers and align the columns by place value.

Add all numbers column by column from right to left.

Record the sum in the answer space for each column.

If the sum of any one column is greater than nine, carry the additional digits to the next highest column.

The addition is the process of adding 2 or more numbers to get a final result. The 4 main properties of addition are commutative, associative, distributive, and additive identity. Commutative refers that the result obtained from addition is still the same if the order changes.

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60 more cases of coke is needed to maintain the required inventory.

Total inventory for the coke needed = 120

Number of cokes in then cooler = 17

Number of coke in the floor display = 43

Number of coke needed more to maintain the required inventory will be calculated by using subtraction.

= 120 - 17 - 43

= 103 - 43

= 60

Therefore, 60 more cases of coke is needed to maintain the required inventory.

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Answer:4/3

Step-by-step explanation:from point (0,-1) to (4,4)

From first point on the y it goes up 5and 4 to the right

Or you can use formula m= y2-y1 / x2-x1

(X1,y1) (x2,y2).                  m= 4- -1/4-0 m= 5/4

(0,-1).   (4,4)

Answer: 24 blue cars

Step-by-step explanation:

Red   |   Blue

5        :        3

x8                  x8

40      :         ?

40        :          24

The solution of the quadratic equation -2x² + 4x = 5 is; x = 1 ± (1/2)√-6

We are given the quadratic equation;

-2x² + 4x = 5

-2x² + 4x - 5 = 0

Quadratic formula for an equation of the form ax² + bx + c = 0 is given as; x = [-b ± √(b² - 4ac)]/(2a)

From the given quadratic equation, we can see that;

a = -2

b = 4

c = -5

Thus;

x = [-4 ± √(4² - 4*-2*-5)]/(2*-2)

x = [-4 ± √(16 - 40)]/-4

x = -4/-4 ± (1/4)√-24

x = 1 ± (2/4)√-6

x = 1 ± (1/2)√-6

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The graph of saving function f(x) = 40 - 1.25x has been plotted with a slope of -1.25.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

Given the function,

f(x) = 40 - 1.25x

Now to plot it we need to put x = 0

f(0) = 40 so y-intercept is (0,40)

Now keep f(x) = 0

Then 0 = 40 - 1.25x

x = 40/1.25 = 32

So x-intercept is (32,0)

So plot a straight line using points (0,40) and (32,0).

Hence "The graph of saving function f(x) = 40 - 1.25x has been plotted".

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Yes the relation is a function because each input value has only one output value

Function is a type of relation, or rule, that maps one input to specific single output.

The x circle contains the numbers -6, -1, 4, and 0. The y circle contains the numbers -2, -1, and 3.

The mapping is of numbers from x to numbers from y. There are arrows going from 6 to -1, from -1 to 2, from 4 to 3, and from 0 to 3.

Thus, we conclude that yes the relation is a function because for each element of the set X there is only one correspondent element in the set Y.

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Answer: c

Step-by-step explanation: i did the test C:

Answer:

Paragraph

So, to start off this equation, you start with your mixed number, -10 1/5. Convert both mixed numbers to improper fractions, then multiply their numerators and denominators separately. Next, you must simplify. You simplify by converting improper fraction to mixed number. Then, you find the answer.

Hope this helps!

Answer:

3

Step-by-step explanation:

there are 15 pieces of candy and 5 people, so all you have to do is divided 15 by 5 which gives you 3 meaning each person gets 3 pieces.

Answer:

3

Step-by-step explanation:count them all together 15 put them into separate groups