The bank that the Payans would like to borrow from uses the back-end ratio to determine loan qualification, approving applications if the back-end ratio is less than 36%. So, the Payans have collected some information on what the bank will consider to calculate the ratio, including what they estimate their monthly mortgage payment will be.According to the Payans' back-end ratio calculation, the bank will ______(most likely, not) lend the Payans $250,000 to purchase the home because their back-end ratio is_____(equal to, higher than, lower than) 36%

The parallelogram can be redrawn as,

To Prove: The opposite side of the parallelogram are equal.

Given: In the given parallelogram AB is parallel to CD and BC is parallel to AD.

Construction: Diagonal AC is drawn.

Proof:

Thus, traingle ABC is congruent to triangle CDA by ASA congruency theorem is the missing information from the paragraph.

Solution:

The equation in the question is given below as

Step 1:

Expand the brackets in the qu

Answer:

x = 4.8

Step-by-step explanation:

Area = Length times width

12 = 2.5x  Divide both sides by 2.5

4.8 = x

From the problem, we are given a point (8, -6) and an equation y = 4x + 7

The equation we are to obtain is perpendicular to y = 4x + 7

In Mathematical terms, it means the slope of the given equation and the one we are to find follow the relation:

slope of the given equation = 4

The required equation passes through a point (8,-6)

The formula for obtaining the equation with a given slope that passes through a point is given as :

By substituting;

The equation in slope-intercept form is y = -0.25x - 4

Answer:

11.682 many times larger

Answer:

16.8

Step-by-step explanation:

To find how many times larger (1.008 × 10¹) is than (6 × 10⁻¹), divide the first expression by the second expression:

[tex]\implies \dfrac{1.008 \times 10^1}{6 \times 10^{-1}}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{ab}{cd}=\dfrac{a}{c} \times \dfrac{b}{d}:[/tex]

[tex]\implies \dfrac{1.008}{6} \times \dfrac{10^1}{10^{-1}}[/tex]

Divide the numbers 1.008 and 6:

[tex]\implies 0.168 \times \dfrac{10^1}{10^{-1}}[/tex]

[tex]\textsf{Apply the exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies 0.168 \times 10^{(1-(-1)}[/tex]

Simplify:

[tex]\implies 0.168 \times 10^{2}[/tex]

[tex]\implies 0.168 \times 10 \times 10[/tex]

[tex]\implies 1.68 \times 10[/tex]

[tex]\implies 16.8[/tex]

According to the commutative property, the numbers we use can be moved around or swapped around without changing the solution. For addition and multiplication, the principle is true, but not for division or subtraction.

4x-3

 Is x=2

4(2)-3

This uses the ___ attribute?

Answer:

(5,-5) commutative property of subtraction property is used.

Example:

It can be commutative if you retain the negative with the 2 and the positive with the 5. Edited: Subtraction is not a commutative operation; for example, 5-2=3 and 2-5=-3. The order of addition or subtraction does not important, though, if you maintain the sign of the integer, as in +5-2=3 and -2+5=3, for example. 

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Answer:

x = -2/y -1

Step-by-step explanation:

2xy + 4 = -2y -----> x = -2y -y

Step 1: Divide 2y to all sides. 2xy÷2y + 4÷2y= -2y÷2y. Since we are divinding y with y it cancels out, so it will be -2÷ 2 = -1

Step 2: x + 2y = -1

Step 3: Then subtract 2y and move it to the other side.

x = -2/y -1

Another way of explaining it:

2xy + 4 = -2y

Step 1: Divide 2 to all sides. 2xy÷2 +4÷2 = -2y÷2

Step 2: xy + 2 = -y

Step 3: Subtract the 2 and move it to the other side.

xy + 2 = -y

-2. -2

Step 4: xy = -2 -y

Step 5: Then we divide the y to all sides. xy÷y = -2÷y - y÷y

Step 6: xy÷y = -2 ÷ y -2 ÷y. We're trying to get x by itself.

Step 7: x = -2/y -1. Since we are divinding y with y it cancels out, so it will be

Answer: x = -2/y -1

(Any Further Questions or Confusion Please Let Me Know)

The difference quotient of the function f(x) = 4x² + 3x - 5 is [f(x + h) - f(x)]/h = 8x + 4h + 3

The function is given as

f(x) = 4x² + 3x - 5

Start by calculating the function f(x + h)

So, we have the following

f(x + h) = 4(x + h)² + 3(x + h) - 5

Expand

f(x + h) = 4(x² + 2xh + h²) + 3(x + h) - 5

Open the brackets

f(x + h) = 4x² + 8xh + 4h² + 3x + 3h - 5

The difference quotient is then calculated as

[f(x + h) - f(x)]/h

This gives

[f(x + h) - f(x)]/h = (4x² + 8xh + 4h² + 3x + 3h - 5 - 4x² - 3x + 5)/h

Evaluate the like terms

[f(x + h) - f(x)]/h = (8xh + 4h² + 3h)/h

Evaluate the quotients

[f(x + h) - f(x)]/h = 8x + 4h + 3

Hence, the value of [f(x + h) - f(x)]/h is 8x + 4h + 3

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Complete question

If f(x) = 4x² + 3x - 5, then [f(x + h) - f(x)]/h is equal to which of the following?

She received 19 purple and 6 blue marbles, so the total number of marbles is 19 + 6 = 25

Percentage of purple marbles = 100 * 19/25 = 1900/25 = 76%

Percentage of blue marbles = 100 * 6/25 = 600/25 = 24%

Answer:

Percentage of purple marbles = 76%

Percentage of blue marbles = 24%

To determine the total number of employees, we need to determine first how many are men in the company.

To determine the number of men in the company, we can use the given ratio 7 men is to 5 women and apply direct proportion.

To solve for the number of men (?), let's apply cross multiplication in the equation above.

Hence, there are 189 men in the company.

In total, there are 189 men + 135 women = 324 employees in the company.

Hello!

Let's solve:

 [tex]\dfrac{2}{5}(15x+40)} =6x+10\\\\\\\text{Multiply the '2/5' into the function inside the parentheses}\\\dfrac{2}{5} *15x + \dfrac{2}{5} *40=6x+10\\\\6x + 16 =6x+10\\\\\\\text{Subtract '6x' from both sides}\\6x + 16-6x=6x+10-6x\\16 = 10[/tex]

Since 16 doesn't equal 10 ==> There are no solution

Hope that helps!

Given:

Function interval

Find-: Average rate of change.

Sol:

The average rate of change is:

Choose any two-point.

So average rate of change is:

The average rate of change is -9.

Points (2, -1) and (1,-4)

Finding slope

For slope for the perpendicular line

Answer:

i believe its 30

Step-by-step explanation:

well i think you would divide sixty by 2 which is thirty.

IM SO SORRY IF IM WRONG- THIS IS JUST WHAT I THINK!

Let "x" represent the width of the rectangular steel, then the length, which is 2meters less than triple the width, can be expressed as "3x-2".

The perimeter of the rectangular piece is 60meters.

The formula for the perimeter is the following:

Replace the formula with the expressions for the width and length and the given perimeter of the piece of steel:

w=x

l=3x-2

P=60

From this expression, you can determine the value of x.

-First, distribute the multiplication on the parentheses term

-Second, simplify the like terms and pass "-4" to the left side of the expression by applying the opposite operation "+4" to both sides of it

-Third, divide both sides by 8 to determine the value of x

The value of x is 8m, which means that the width of the piece of steel is 8m

To determine the length you just have to replace the expression by x=8

The length is 22m

In the picture, there are two lines that graph distance versus time, so the slope of the line is teh rate or the speed of Albert or Tanisha.

We need to calculate the slope of each line. We can note that the two lines start in the origin point (0, 0), so:

The different between the slopes (speed) is:

Albert goes 3 miles/hour faster than Tanisha

The value of inverse trigonometric function  θ = sin-1(-.5) is 30°

What is an inverse trigonometric function?

The inverse trigonometric functions perform the opposite operation of the trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent. We know that trigonometric functions are especially applicable to the right angle triangle.

Here, the given inverse trigonometric function is  θ = sin⁻¹(0.5)  

Now solving the given inverse trigonometric function by consider 0.5 value in terms of sine that is :

0.5 = sine (30°)

Now, substituting back this value in place of 0.5 and solve for θ :

θ = sin⁻¹(0.5)  

θ = sin⁻¹(sin(30°))  

Now the inverse of sinθ is θ itself

θ = 30°

Therefore, The value of inverse trigonometric function  θ = sin-1(-.5) is 30°.

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Answer:

35  5/9 cm total

Step-by-step explanation:

24 +   8   +  8/3  +    8 / 9   =  35  5/9 cm

Answer:

(-1,3)

Step-by-step explanation:

Where the two lines intersect, they have equal values

-4x-1       =      -2x + 1

-2 = 2x

x = -1    

  Now, you have 'x'  ....use this value in either of the equations to find 'y'

-2 (-1) + 1 = y = 3  

(-1,3)

Given:

The triangles EFG and PQR are given.

To find: The correct answer

Explanation:

a) An angle bisector:

As we know,

An angle bisector is a line or ray that divides an angle into two congruent angles.

Here, The line FJ is the angle bisector for angle F.

Thus, the angle bisector is line FJ.

b) Perpendicular bisector:

As we know,

A perpendicular bisector is a line that bisects another line segment at a right angle, through the intersection point.

Here, the line SL bisects another line segment PQ at a right angle, through the intersection point S.

Thus, the perpendicular bisector is SL.

c) A point is equidistant from the line segment FE and EG:

The point that is equidistant to all sides of a triangle is called the incenter.

Here, H is the point that is equidistant from the line segment FE and EG.

Thus, the point is H only.

d) A point is equidistant from the points P and Q:

The point that is equidistant to all vertices of a triangle is called the circumcenter.

Here, L is the point that is equidistant from the points P and Q.

Thus, the point is L only.

There are 12 inches in a foot.

To convert 120 inches to feet we can use the next proportion:

Solving for x:

x = 1*120/12

x = 10 feet

The numbers are 13 and 24

What is Integers?

The negative numbers are the additive inverses of the corresponding positive numbers.[2] In the language of mathematics, the set of integers is frequently denoted by the boldface Z or blackboard bold displaystyle mathbb Z mathbb Z.[3][4][5] An integer is the number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer with a minus sign

y=first number

x=2y-2 (second number)

y^2+(2y-2)^2=745

y^2+4y^2-8y+4=745

5y^2-8y+4-745=0

5y^2-8y-741=0

Now, from the equation we can solve

5y^2 -65y +57y - 741 = 0
5y(y - 13) + 57(y - 13) = 0

(5y + 57)(y - 13)= 0

now, since the Integers are positive so the value obtained from (5y + 57) = 0 can't hold true.

So, y-13 = 0

      y = 13

The first number is : 13

The second number is :

x = 2(13) - 2

x = 26 - 2

x = 24

The second number is : 24

Hence, the numbers are 13 and 24

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ANSWER:

STEP-BY-STEP EXPLANATION:

The space shuttle travels about 6713 miles per hour. Rounded to the nearest mile, this is approximately 6713 miles per hour.

What is a radius ?

In mathematics, the radius is a term used to describe the distance from the center of a circle or a sphere to any point on its surface. It is denoted by the letter "r".

The orbit of the space shuttle is circular, so the distance it travels in one orbit is equal to the circumference of the circle with a radius of 275 + 4000 = 4275 miles (275 miles above the Earth's 4000 mile radius).

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle and π is the mathematical constant pi (approximately 3.14). Therefore, the distance traveled by the shuttle in one orbit is:

C = 2π(4275) ≈ 26851 miles

Since the shuttle orbits once every 4 hours, its average speed is:

distance/time = 26851/4 ≈ 6713 miles per hour

Therefore, the space shuttle travels about 6713 miles per hour. Rounded to the nearest mile, this is approximately 6713 miles per hour.

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Answer:  6 hours into minutes is 360

Step-by-step explanation:

The way in which this data-collection method produce bias in obtaining an estimate of all drivers who are satisfied with the company’s truck drivers is that: D. This sample may lead to voluntary response bias because drivers can choose to call the phone number and register an opinion.

A sampling bias can be defined as a type of bias in which members of an intended population are selected in such a way that some members have a higher or lower sampling probability (chances) than the other members.

This ultimately implies that, a sampling bias would occur when members of an intended population are selected incorrectly and as such resulting in a sample that is not representative of the entire population.

Generally speaking, a voluntary response sample is a data-collection technique (method) that is always biased because it only include individuals who choose to volunteer, unlike a simple random sample.

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Here, we want to deduce the equation of the blue graph

From what we have, we can see that the image of the f(x) was moved 2 units to the right and 1 unit upwards

What this mean is that, we have 1 added to the y value and 2 added to the x value

So, the equation of the blue graph is

Answer:

If the wide variety has only two factors, 1 and itself, then it if truth be told is top in a very huge way. If the variety has usually greater than two factors, then it is for all intents and functions composite in a refined way.

Answer:

See below

Step-by-step explanation:

If a number only has factors of one and itself, then the number is a prime number.

SOLUTION

Given the following

Consider the image below

To solve the right triangle, we need to find the following:

To find B, we use the sum of angles in a triangle

hence

Substituting into the equation we have,

Subtract 136.5 from both sides

hence

B = 43.5°

To find b, we use the trigonometry ratio for tangent

From the triangle above

Substituting into the equation

Then

hence

b = 1.8in to 1 decima place

To find c, we also apply trigonometry ratio for sine of an angle

Substituting the values into the equation we have,

Divide both sides by 1.9, we have

hence

c = 2.6 in

Therefore, to solve the right triangle, we have

Answer; B = 43.5°, b = 1.8in, c = 2.6 in