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3 years ago

Ten minus One-third of a number is 4

Mathematics

2 answers:

Virty [35]3 years ago

7 0

10 -1/3y = 4
1/3y = 10 - 4
1/3y = 6
y = 6 x 3 = 18

zloy xaker [14]3 years ago

6 0

Ok, so you automatically know that you are subtracting 6 from 10 to get 4. So, in order to figure out how it is 1/3 of that number, it is going to be multiplied by 3, getting 18. So, the number would be 18.

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Solve: 2x-3 = 5(x + 6)

Slav-nsk [51]

Answer:

2x - 3 = 5(x + 6)

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-33 = 3x

x = -11

7 0

2 years ago

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The function f(x)=3 (x+6)^2+8 is shifted 4 units up and 3 units right to form another function g(x). What is g(x)?

iVinArrow [24]

Answer:

$g(x) = 3\cdot (x+3)^{2}+12$

Step-by-step explanation:

There are two operations involved:

Vertical translation:

$f'(x) = f(x) \pm c,\,c\in \mathbb{R}$ (1)

Note: Positive sign represent a translation upwards.

Horizontal translation:

$f'(x) = f(x\pm c), x\in \mathbb{R}$ (2)

Note: Positive sign represent a translation leftwards.

Then, the new function must be:

$g(x) = f(x-3)+4$

$g(x) = 3\cdot (x+3)^{2}+12$

3 0

2 years ago

Find the value of x and y so that both proportions will be correct:

andrew11 [14]

The values of x and y are 0.2 and 0.4 respectively.

Explanation

The given proportions are.....

$x: 1\frac{2}{3}=y: 3\frac{1}{3}$ and $y:1.5=0.2:0.75$

From the second proportion, we will get....

$y:1.5=0.2:0.75\\ \\ \frac{y}{1.5}=\frac{0.2}{0.75} \\ \\ 0.75y=0.2*1.5\\ \\ 0.75y=0.3\\ \\ y=\frac{0.3}{0.75}=0.4$

Now, we will plug this $y=0.4$ into the first proportion. So we will get....

$x: 1\frac{2}{3}=y: 3\frac{1}{3}\\ \\ x: \frac{5}{3}=0.4:\frac{10}{3} \\ \\ \frac{x}{\frac{5}{3}}= \frac{0.4}{\frac{10}{3}}\\ \\ \frac{3x}{5}=\frac{1.2}{10}\\ \\ 30x=6\\ \\ x= \frac{6}{30}=0.2$