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4 years ago

Which of the following is not a linear function? F(x)=-2 f(x)=x-2 f(x)=2x f(x)=x^2

1 answer:

6 0

f(x)=-2 = Line
f(x)=x-2 = Line
f(x)=2x = Line
f(x)=x^2 = Parablola

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Solve the equation for a. 55a – 44a = 11

Yanka [14]

55a-44a=11 combine like terms on the left side

11a=11 divide both sides by 11

a=1

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3 years ago

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If b is the midpoint of ac and if c is the midpoint of bd, then what percent of cd is ac

Sergeu [11.5K]

Answer:

ac is 200% of cd

Step-by-step explanation:

To answer this question, we shall be making a visual representation.

Let’s take it one at a time.

Given;

b is the midpoint of ac

a b c

What this means is that a-b represents 50%, while bc represents another 50%

okay, we move on:

c is the midpoint of bd

b c d

What this means is that bc is 50%, while cd is another 50%.

So let’s combine the representations;

a 50% b 50% c 50% d

Now what does the question says again?

What percent of cd is ac?

From a to c, we can see two 50% which means 100%

while cd is just the regular 50%

So we can see that ac is actually twice cd

What we are saying here is , if cd is x, then ac is 2x

So we can restructure our question to mean, what percent of x is 2x?

That is simply 2x/x * 100 and that is 200%

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3 years ago

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The cost of a circular table is directly proportional to the square of the radius. A circular table with a radius of 50cm costs

Lana71 [14]

Answer:

£135 is the correct answer.

Step-by-step explanation:

Let C be the cost of table.

And let R be the radius of table.

Cost of table is directly proportional to square of radius.

As per question statement:

$C\propto R^{2}$ or

$C=a\times R^2 ....... (1)$

where $a$ is the constant to remove the $\propto sign$ .

It is given that

$C_1 =$ £60 and $R_1 = 50\ cm$

$C_2 = ?$ when $R_2= 75\ cm$

Putting the values of $C_1$ and $R_1$ in equation (1):

$60=a \times 50^2 ....... (2)$

Putting the values of $C_2$ and $R_2$ in equation (1):

$C_2=a \times 75^2 ....... (3)$

Dividing equation (2) by (3):

$\dfrac{60}{C_2}= \dfrac{a \times 50^2}{a \times 75^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{50^2}{75^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{2^2}{3^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{4}{9}\\\Rightarrow C_2 = 15 \times 9 \\\Rightarrow C_2 = 135$

So, £135 is the correct answer.

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3 years ago

Four years after a tree was planted, its height was 6 feet. Eight years after it was planted, its height was 8 feet. How tall wi

german

Answer:

It will be 10 feet after 10 years

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3 years ago

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Each year Lizzie's school purchases student agenda books, which are sold in the school store. This year, the school purchased 35

lana [24]

Divide $1,137.50 by 350 to see out how much each book costs. Then divide $1,500 by 350 to see how much the school should add to the price of each agenda book to make the total profit. So the answer should be: (1137.50/350)+(1500/350) = minimum price

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3 years ago