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just olya [345]
3 years ago
13

Write an equation for a linear function f that has the given values: f(-3) = 2 and f(1) = 0

Mathematics
1 answer:
Semmy [17]3 years ago
7 0
A linear function can be written in this form: 

y - y2 = m(x - x2) 


f(-3) = 2 
f(-3) is saying that some function had the number -3 put in for the value of x. The output was a value of 2. Which is our y. So we have a coordinate point of: 
(-3, 2) 

Same thing with f(1) = 0 

(1,0) 

Now we need to find the slope, m. 

(2 - 0) / (-3 - 1) = 2 / -4 = -1/2 

So an equation for the linear function f is this: 
y - 2 = -1/2(x + 3) 

(Note that the -3 we subbed in has become a positive 3 because the equation called for a negative. And two negatives become a positive) 

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The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of
weqwewe [10]

Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY.  The measure of D is five-halves the measure of Y. Find the measure of  each angle of the deck.

Answer:

\angle G = \angle Y = 51.43 ^{\circ}

\angle D = \angle R = 128.57 ^{\circ}

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: \angle D = \frac{5}{2}\angle Y

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

\angle D = \angle R = \frac{5}{2}\angle Y

and

\angle G = \angle Y

The sum of angles is given as:

\angle D + \angle G + \angle R + \angle Y=360^{\circ}

Substitute values for \angle D, \angle G \ \&  \angle R

\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}

Take LCM

\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}

\frac{14\angle Y}{2}= 360^{\circ}

Multiply both sides by \frac{2}{14}

\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}

\angle Y= 360^{\circ} * \frac{2}{14}

\angle Y= \frac{ 360^{\circ} *2}{14}

\angle Y= \frac{720^{\circ}}{14}

\angle Y= 51.43 ^{\circ}

So:

\angle G = \angle Y = 51.43 ^{\circ}

\angle D = \frac{5}{2}\angle Y

\angle D = \frac{5}{2} * 51.43^{\circ}

\angle D = \frac{5* 51.43^{\circ}}{2}

\angle D = \frac{257.15^{\circ}}{2}

\angle D = 128.57 ^{\circ}

Hence:

\angle D = \angle R = 128.57 ^{\circ}

8 0
2 years ago
Given below are descriptions of two lines.
gulaghasi [49]

Answer:

Line 1 is 1/3

Line 2 is 1/3 as well

Choice 1

Step-by-step explanation:

<u>Rise over run</u>

<em><u>Line 1:</u></em>

\frac{(7)-(3)}{(6)-(-6)}

\frac{4}{12}

<u>Simplify:</u>

1/3

<em><u>Line 2:</u></em>

\frac{(2)-(1)}{(-3)-(-6)}

\frac{1}{3}

1/3

1 is Paralell to 2 because they have the same slope

I hope this helps! :D

Pls give thx and brainliest if i’m right!

5 0
3 years ago
Juan invest $3700 in a simple interest account at a rate of 4% for 15 years
OleMash [197]

<em><u>Question:</u></em>

Juan Invest $3700 In A Simple Interest Account At A Rate Of 4% For 15 Years. How Much Money Will Be In The Account After 15 Years?

<em><u>Answer:</u></em>

There will be $ 5920 in account after 15 years

<em><u>Solution:</u></em>

<em><u>The simple interest is given by formula:</u></em>

S.I = \frac{p \times n \times r }{100}

Where,

p is the principal

n is number of years

r is rate of interest

From given,

p = 3700

r = 4 %

t = 15 years

Therefore,

S.I = \frac{3700 \times 4 \times 15 }{100}\\\\S.I = 37 \times 4 \times 15\\\\S.I = 2220

<em><u>How Much Money Will Be In The Account After 15 Years?</u></em>

Total money = principal + simple interest

Total money = 3700 + 2220

Total money = 5920

Thus there will be $ 5920 in account after 15 years

8 0
3 years ago
BRAINLIEST ASAP!!!!!!!<br><br> why is it useful to factor out the gcf first when factoring
Lelu [443]
By pulling out the common factors for each pair of terms, we can rewrite the original polynomial like this:
3x(2x + 1) + 10(2x + 1)
These two terms now have a common factor of (2x + 1). Seems like we should be able to do something with that information, don't you think? In fact, we can pull out this common factor and rewrite the polynomial again:

4 0
3 years ago
jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week.
ollegr [7]

The number of full time employees is 17 and the number of part time employee is 9

Step-by-step explanation:

Step 1 :

Let f represent the number of full time employee and p represent the number of part time employee

Total number of employees = 26

Hence we have f + p = 26

Step 2 :

Wages of full time employee  = $275

Wages of part time employee = $140

Total wages paid by Jeds = $ 5935

Hence we have 275 f + 140 p = 5935

Step 3:

Solving the equations obtained in step 1 and step 2 we have

f + p = 26, Multiplying by 275 = > 275 f + 275 p = 7150

275 f + 140 p = 5935

Subtracting equation 2 from 1 we have

135 p = 1215 => p = 9

Substituting this in f + p = 26 gives, f + 9 = 26

So f = 17

Step 4 :

Answer :

The number of full time employees is 17 and the number of part time employee is 9

5 0
3 years ago
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