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3 years ago

Answering these questions

Mathematics

1 answer:

Rudiy273 years ago

6 0

$1.\\ a)\ y=2x-3\ \ \ |subtract\ y\ from\ both\ sides\\\\\boxed{2x-y-3=0}\\\\b)\ y=\dfrac{1}{3}x-\dfrac{2}{5}\ \ \ |multiply\ both\ sides\ by\ 15\\\\15y=5x-3\cdot2\ \ \ |subtract\ 15y\ from\ both\ sides\\\\\boxed{5x-15y-6=0}$

$2.\\a)\ 5x-y+3=0\ \ \ |add\ y\ to\ both\ sides\\\\\boxed{y=5x+3}\\\\d)\ 7x+2y-3=0\ \ \ |subtract\ 7x\ from\ both\ sides\\\\2y-3=-7x\ \ \ |add\ 3\ to\ both\ sides\\\\2y=-7x+3\ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{y=-3.5x+1.5}$

$3.\\y=25x+100\ \ \ \ |subtract\ y\ from\ both\ sides\\\\\boxed{25x-y+100=0}$

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Explain how to apply the substitution property of equality to the equation

Vlad1618 [11]

Answer: Substitute the values given. The equation is a + 42 = b. Since a = -16 and b = 26, the equation will become -16 + 42 = 26. This equation holds true so it is correct.

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2 years ago

4. The red graph (1) is the graph of f(x) = log(x). Describe the transformation of the blue function (2) and write the equation

sergey [27]

Answer:

Function $f(x)$ is shifted 1 unit left and 1 unit up.

$f(x)\rightarrow f(x+1)+1$

Transformed function $f(x+1)+1=\log(x+1)+1$

Step-by-step explanation:

Given:

Red graph (Parent function):

$f(x)=\log(x)$

Blue graph (Transformed function)

From the graph we can see that the red graph is shifted 1 units left and 1 units up.

Translation Rules:

$f(x)\rightarrow f(x+c)$

If $c>0$ the function shifts $c$ units to the left.

If $c$ the function shifts $c$ units to the right.

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

Applying the rules to $f(x)$

The transformation statement is thus given by:

$f(x)\rightarrow f(x+1)+1$

As function $f(x)$ is shifted 1 unit left and 1 unit up.

Transformed function is given by:

$f(x+1)+1=\log(x+1)+1$

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3 years ago

Use synthetic division to find the quotient of (44 + 22 − 4 + 12) ÷ ( + 2). Show your work for full credit.

valina [46]

Just remember BODMAS, which B= brackets O= Order D= Division M= Multiply A=Addition and S=Subtract

So first you solve the brackets so 44+22 is 66

So 66-4+12 so 66-4 is 62

62+12 is 74

So now you have got 74 divided by 2 which is 37

Hope this helps xx

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3 years ago

Mr. Inahurry sold his house for $27,000, which is a 10% loss over what he originally paid for it. What did he pay for the house

Ainat [17]

Answer: $30,000

Step-by-step explanation:

If Mr. Inahurry had a 10% loss, it means that he paid X for the house and only got back 90% (100% - 10%) of what he paid.

This way X . 90% = 27,000

X . 0.90 = 27,000

X = 27,000/0.9

X = 30,000

Counter-proof: 30,000 . 10% = 30,000 . 0.10 = 3,000

30,000 - 3,000 = 27,000

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3 years ago

In a lilac paint mixture , 40% of the. Mixture is white paint ,20%is blue and the rest red how many cups of red paint are used

fredd [130]

Answer: 40%

Step-by-step explanation: all percents add to 100%, so 40%+20%=60%, and 100%-60%=40%

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3 years ago