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3 years ago

How many squares will be in the fifth figure

Mathematics

1 answer:

Phantasy [73]3 years ago

5 0

Answer: 30

Step-by-step explanation:

see photo for work

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zepelin [54]

Answer:

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

Step-by-step explanation:

We need to find equation from the table given

x f(x)

3 -5

7 -2

11 1

15 4

We can write equation in the form of $y=mx+b$

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: $Slope=\frac{y_2-y_1}{x_2-x_1}$

From the table we have: $x_1=3, y_1=-5, x_2=7, y_2=-2$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}$

So, we get slope $m=\frac{3}{4}$

Now, finding y-intercept

Using the slope $m=\frac{3}{4}$ and point (3,-5) we can find y-intercept

$y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}$

The y-intercept is $b=\frac{-29}{4}$

So, the equation having slope $m=\frac{3}{4}$ and y-intercept $b=\frac{-29}{4}$ will be:

$y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}$

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

6 0

3 years ago

What is a reciprocal?

prohojiy [21]

<span>a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.
</span>

7 0

3 years ago

Read 2 more answers

Help plz!!!!!!!!!!!!!!!!!!!!

RUDIKE [14]

4 Triangles 1/2(6)6()= 18 18x4= 72
5 squares 3X3=9. 5x9= 45

72+45= 117 sq in

5 0

3 years ago

Factor completely<br> -2x^4+6x^3+8x^2

vlada-n [284]

Answer:

-2x²(x + 1)(x - 4)

Step-by-step explanation:

Hello!

Factor:

$-2x^4 + 6x^3 + 8x^2$
$-2x^2(x^2 - 3x - 4)$ Take out GCF

Think: What numbers add up to -3 and multiply to -4?

Answer: -4 and 1

Continue:

$-2x^2(x^2 - 3x - 4)$
$-2x^2(x^2 - 4x + x - 4)$
$-2x^2(x(x - 4) + 1(x - 4))$ Factor by Grouping
$-2x^2(x + 1)(x - 4)$

The complete factored form is -2x²(x + 1)(x - 4)

5 0

2 years ago

To start a board game,the player who rolls two sixes gets to go first.What is the probability that a player will roll two number

emmainna [20.7K]

Answer I believe that the answer is 1/36.

Step-by-step explanation: I just toke the test and got it right.

7 0

4 years ago

Read 2 more answers