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ELEN [110]
3 years ago
9

Two linear functions f(x) and g(x) are graphed on the same coordinate plane. The graphs of the functions are parallel where f(x)

has a y-intercept at (0, −1315 ) and g(x) has a y-intercept at (0, 812).
Determine whether the statements are true or false about f(x) and g(x).


TRUE OR FALSE: g(x)is the image of f(x) after a vertical translation up 15 units.



TRUE OR FALSE: g(x)is the image of f(x) after a vertical translation up 2315 units.



TRUE OR FALSE: g(x)=f(x)+2315



TRUE OR FALSE: g(x)=f(x)−2315
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
3 0
True
False
True
True
Hope I helped!
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AKAJAXOSPAPXODAOAPA HELP
Leya [2.2K]

Answer:

He used 6 bananas at .50 which cost $3.00

12 oranges at .75 which cost $9.00 and

3 papayas at $1.25 which cost $3.75

Step-by-step explanation:

We can set up a system of equations using the information given.

b for banana, r for orange, p for papaya

b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:

b + 2b + p = 21 The number of items.

50b + 75(2b) +125p = 1575 The cost.

<em>I </em><em>multiplied</em><em> </em><em>everything</em><em> </em><em>by </em><em>100 </em><em>to </em><em>eliminate</em><em> </em><em>the</em><em> </em><em>decimals</em><em>.</em>

To solve by substituion, rewrite the first equation to get a value for p in terms of b

p = 21 - 3b

Substitute this value in the second equation and solve for b.

50b + 150b + 125(21–3b) = 1575

200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:

–175b = 1575 –2625

–175b = –1050. Divide both sides by –175

b = 6

Substitute in the original equation to find the amount of each fruit:

b + r + p = 21

b = 6 bananas

r = 2b. 2(6) = 12 oranges. <em>I </em><em>used </em><em><u>r </u></em><em>so </em><em>as </em><em>not</em><em> to</em><em> </em><em>mix </em><em>up </em><em>o </em><em>with </em><em>0</em><em>.</em><em> </em>

6 + 12 + p = 21

p = 21 –18

p = 3 papayas

7 0
3 years ago
For each system of equations, drag the true statement about its solution set to the box
iVinArrow [24]
<h2 /><h2>1</h2>

ONE SOLUTION

  • 6x-3=2x+1 has one solution

INFINITELY MANY SOLUTION

  • 6x-3 is a multiple of 2x+1

5 0
3 years ago
1. What is the solution for<br> the inequality 4x &lt; 12?
DedPeter [7]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

4x < 12

Divide both sides by 4:

x < 12/4

x < 3

That is your solution ^^

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

8 0
3 years ago
2. Which variable will eliminate? *<br> 3x +6y=27<br> -3x+8y= 1
Anarel [89]
9x=27
x=3
———
-3*3+8y=1
5\4
5 0
3 years ago
Read 2 more answers
Suppose y varies directly with x. If y = -4 when x = 8, what is the equation of direct variation?
tresset_1 [31]

\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we also know that }~~ \begin{cases} y=-4\\ x=8 \end{cases}\implies -4=k(8)\implies \cfrac{-4}{8}=k\implies -\cfrac{1}{2}=k \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-\cfrac{1}{2}x~\hfill

8 0
3 years ago
Read 2 more answers
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