write the equation of the line from the given information. through (-3,5) & (4,-2)

Answer:

Step-by-step explanation:

The time taken to reach the goal of $3000 will be 36 months.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Lucas has $300 in his savings account and starts saving $75 per month. He wants to meet his savings goal of $3000.

The equation for the total cost will be formed as,

TC = 75m + 300

3000  = 75m + 300

3000 - 300 = 75m

2700 = 75m

m = 2700 / 75

m = 36 months

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Answer:

8.75

Step-by-step explanation:

In order to determine what is 25% of 35, simply multiply 35 by 0.25 (which is the decimal equivalent of 25%).

0.25 × 35 = 8.75.

Therefore, the 25% of 35 is 8.75.

Answer: 18.9

A=8900

P= 3500

r = 0.05

n = 2 (semi-annually)

T= 18.9

the answer is 5x But if you know what "x" is then just multiply the x first and then the addition

Answer:

When f(x)= 3x – 1 and g(x) = 7x + 6,

f(g(x)) = 21x + 17

and

g(f(x)) = 21x - 1

Step-by-step explanation:

Given:

f(x) = 3x - 1

g(x) = 7x + 6

To find f(g(x)), substitute the value of g(x) into f(x).

f(g(x)) = f(7x + 6)

Substitute variable.

f(7x + 6) = 3(7x + 6) - 1

Distribute the 3 inside the parenthesis.

f(7x + 6) = 21x + 18 - 1

Subtract 1 from 18.

f(7x + 6) = 21x + 17

Therefore, f(g(x)) is 21x + 17.

To find g(f(x)), substitute the value of f(x) into g(x).

g(f(x)) = g(3x - 1)

Substitute variable.

g(3x - 1) = 7(3x - 1) + 6

Distribute the 7 inside the parenthesis.

g(3x - 1) = 21x - 7 + 6

Add 6 to -7.

g(3x - 1) = 21x - 1

Therefore, g(f(x)) is 21x - 1.

Answer:

65

Step-by-step explanation:

Answer:

I really don't know sorry

Answer:

90

Step-by-step explanation:

20% of 75 is 7.5 times 2 which equals 15 so 15 plus 75 is 90.

Answer:

She scored 90 on her second math test.

Step-by-step explanation:

A 20% increase is 120% of the original number. 120% is also just a multiplier of 1.2. Multiply the first score by 1.2 to get the second score:

[tex]75\times1.2=90[/tex]

She scored 90 on her second math test.

Answer:

27/50

Step-by-step explanation:

Answer:

27/50

Step-by-step explanation:

54 is another way of writing 54 hundredths, or as a fraction, 54/100. Asking for a simplified fraction is asking you to reduce the numerator and denominator by any common terms. 54 and 100 are both divisible by 2, so we get to 27/50. These have no factors in common, so 27/50 is our simplified fraction.

Answer:

2.04

Step-by-step explanation:

Answer:4/50

Step-by-step explanation:

2+2 = 4

Step-by-step explanation:

(i) Here in ∆ AED and ∆ CEB ,

Hence by AAS congruence congruence condition ,

Also ,

==========================================

(ii) In ∆ AEB and ∆CED ,

Hence by SAS condition ,

===========================================

(iii) Here ,

Since these two angles are alternate interior Angles and equal . Hence the lines will be parallel . Also since ∆AEB is congruent to ∆CED , the corresponding sides will be equal . Hence AB = CD .

Answer: 780

Step-by-step explanation:

Answer:

I think this one will be D.  

TR=UR

Hope this helps :)

Answer:

9x5=45x5=225+5=230

Step-by-step explanation:

Answer:

4p-n+2q-3m

Step-by-step explanation:

:)

Answer:

what is the question?

Step-by-step explanation:

Answer:

8-9=-1

just absoulte value. |-1| = 1

Step-by-step explanation:

Answer:

x2 =0.87

Step-by-step explanation:

Step-by-step explanation:

[tex] = ( {a}^{3} {b}^{12} {c}^{2} ) \times ( {a}^{5} {c}^{2} ) \times ( {b}^{5} {c}^{4} ) {}^{0} [/tex]

[tex] = {a}^{3 + 5} {b}^{12} {c}^{2 + 2} [/tex]

[tex] = {a}^{8} {b}^{12} {c}^{4} [/tex]

Option D

Answer:

Step-by-step explanation:

What exactly is your question first of all?

Answer:

6-8k

Step-by-step explanation:

2(3-4k)=2*3-2*4k=6-8k

Answer:

D. 1356.5 cm³

Step-by-step explanation:

The volume of a cone can be represented by:

V = (π)(r²)(h/3)

Substitute the known values:

π = 3.14

r = 12

h = 9

V = (3.14)(12²)(9/3)

Square 12.

V = (3.14)(144)(9/3)

Divide 9 by 3.

V = (3.14)(144)(3)

Multiply 3.14 and 144.

V = (452.16)(3)

Multiply 452.16 and 3.

V = 1356.48

Round to the nearest tenth.

V = 1356.5.

Answer:

The y-intercept is -2 and the slope is 2/3

Step-by-step explanation:

Answer:

24 cups is the answer!

Step-by-step explanation:

Hope this helps :)

Answer:

24 cups

Step-by-step explanation:

1/3

2=6/3

4*6= 24

Answer:

[tex]2x^{2} +7-4[/tex]

Step-by-step explanation:

Distribute x+4 into 2x-1 to get

[tex]2x^{2} +7-4[/tex]

Answer:

y= 2x^2+7x-4

Step-by-step explanation:

if you make a box plot it is easier to figure answers like this out.

Answer:

C

Step-by-step explanation:

Use the quadratic formula to find the roots. Find the factors from the roots, then multiply the factors together.

Answer: 39

Step-by-step explanation: 1/2   = 6

                                             13/4 = x

If Satchmo bought half pound of mangoes for $6 then he pay $39 for 13/4 pounds of mangoes.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that Satchmo bought half pound of mangoes for $6

We need to find the amount he has to pay for 13/4 pounds of mangoes.

Let x be the  amount he has to pay for 13/4 pounds of mangoes..

We find the value of x by forming a proportional equation by given data.

1/2/6=13/4/x

1/12=13/4x

Apply cross multiplication

4x/12=13

x/3=13

x=39

Hence, Satchmo pay $39 for  13/4 pounds of mangoes.

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Answer:

Step-by-step explanation:

we divide since when 5 can divide 2

Step-by-step explanation:

officially, complementary angles complete each other to a total sum of 90 degrees.

supplementary angles complete each other to a total sum of 180 degrees.

angle 1 = 19× angle 2

90 = angle 1 + angle 2 = 19×angle 2 + angle 2 = 20×angle 2

angle 2 = 90/20 = 9/2 = 4.5 degrees.

angle 1 = 19×4.5 = 85.5 degrees.

and so, it seems to me, your teachers made a severe definition mistake and aimed for 180 degrees instead of the correct 90 degrees.

in that case, everything doubles.

angle 2 = 9 degrees

angle 1 = 171 degrees

If measure of an angle is 19-times measure of its complementary-angle, then measure of one angle is 85.5° and other is 4.5°.

Let us denote the measure of the angle as = "x" degrees.

The complementary angle is the angle that, when added to the given angle, forms a 90-degree angle.

The complementary-angle to "x" degrees is = (90 - x) degrees,

We know that the measure of the angle is nineteen times the measure of its complementary angle, we can write the equation as :

x = 19(90 - x),

x = 1710 - 19x,

20x = 1710,

x = 1710/20,

x = 85.5,

Therefore, the measure of the angle is 85.5 degrees. The measure of its complementary angle is 90 - 85.5 = 4.5 degrees.

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