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2 years ago

Jason lost one fourth of his pencils. Later, he bought 3 more. He now has 12 pencils. How many did he start with?

Mathematics

2 answers:

Oxana [17]2 years ago

8 0

Answer:

he started with 12 pencils

Step-by-step explanation:

lost 2.25 of his pencils

got 3 more

12 total

12-3=9

9 is 3/4 of the starting number

3,6,*9*,12

Rudiy272 years ago

4 0

Jason started with 9 pencils.

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fgiga [73]

Answer:

7+1- -7

Step-by-step explanation:

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3 years ago

X values:−10,−3-, 4, 11

Alex Ar [27]

Answer:

It is neither linear nor exponential.

Step-by-step explanation:

x values: −10,−3, 4, 11

y values: 1, 6, 30, 120

Slope = rate of change

$m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{6-1}{-3+10}\\m=\frac{5}{7}$

$\\m = \frac{y_3-y_2}{x_3-x_2}\\m = \frac{30-6}{4+3}\\m=\frac{24}{7}$

Since rate of change is not constant . So, It is not linear

If the average rate of change is constant, then the function is linear.

If the ratio of consecutive outputs is constant, then the function is exponential.

So, $\frac{y_2}{y_1}=\frac{6}{1}=5\\\frac{y_3}{y_2}=\frac{30}{6}=6\\\frac{y_4}{y_3}=\frac{120}{30}=4$

Since the ratio of consecutive outputs is not constant.

So, It is not exponential

Hence it is neither linear nor exponential.

7 0

3 years ago

(2x+1)/2=(x+2)/5<br><br>if possible can you show me step by step how to get the answer <br>

katrin2010 [14]

Answer:

$\boxed{\bold{Decimal \ Form: \ x \ = \ -0.125}}$

$\boxed{\bold{Fraction \ Form:x=-\frac{1}{8}}}$

Step By Step Explanation:

Apply Fraction Cross Multiply: If $\bold{\frac{a}{b}=\frac{c}{d}:then\ a\cdot \:d=b\cdot \:c}$

$\bold{\left(2x+1\right)\cdot \:5=2\left(x+2\right)}$

$\bold{\left(2x+1\right)\cdot \:5: \ 10x+5}$

$\bold{2\left(x+2\right): \ 2x+4}$

$\bold{10x+5=2x+4}$

Subtract 4 From Both Sides

$\bold{10x+5-5=2x+4-5}$

Simplify

$\bold{10x=2x-1}$

Subtract 2x From Both Sides

$\bold{10x-2x=2x-1-2x}$

Simplify

$\bold{8x=-1}$

Divide Both Sides By 8

$\bold{\frac{8x}{8}=\frac{-1}{8}}$

Simplify

$\bold{x=-\frac{1}{8}}$

Turn Fraction Into Decimal

$\bold{-1 \ \div \ 8 \ = \ -0.125}$

$\bold{-0.125}$

Regards,

Mordancy

8 0

3 years ago

Solve the quadratic equation. Y=1/4(x-2)^2+4

KATRIN_1 [288]

By using the quadratic equation your answer is y = x^2/4 - x + 5

8 0

3 years ago

3/4x + 4/7y = 5/4x -1...solve for y

Zielflug [23.3K]

Answer:

$\frac{3}{4} x + \frac{4}{7} y = \frac{5}{4} x - 1 \\ \frac{4}{7} y = \frac{5}{4} x - 1 - \frac{3}{4} x \\ \\ \frac{4}{7} y = \frac{5x - 4 - 3x}{4} \\ \frac{4}{7} y = \frac{2x - 4}{4} \\ \\ y = \frac{2x - 4}{4} \div \frac{4}{7} \\ y = \frac{2x - 4}{4} \times \frac{7}{4} \\ \\ y = \frac{14x - 28}{16} \\ \\ y = \frac{14x}{16} - \frac{28}{16}$

I hope I helped you^_^

5 0

2 years ago