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3 years ago

Can someone help me solve this ???

Mathematics

1 answer:

babunello [35]3 years ago

5 0

Answer:

y = 4 x = 12

Step-by-step explanation:

The blue square I started on my own and ended with a calculator

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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 the polynomial 3y2 + (y + 7)2 – 15 after it has been fully simplified and written in standard form?

Greeley [361]

Answer:

4y^2 + 14y + 34

I hope this helps :)

4 0

3 years ago

May someone please help me?

Vesna [10]

Answer:

The 3rd table

Step-by-step explanation:

The x values are dividing by 5 to get the y values. The table is proportional because it's a pattern not just random values.

5 0

2 years ago

Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are

yuradex [85]

Ans: (6,-13)

Rationale:

Simply take your pre-image (point before applying transformation) of point B (4,-5) and apply the transformation to each point. Therefore, (x,y) = (4+2,-5-8) = (6,-13)

7 0

3 years ago

Read 2 more answers

What is the solution to the inequality -4x < 8? x < -24 x > -24 x < -2 x > -2

liberstina [14]

Answer:

x > -2

Step-by-step explanation:

Solve the inequality -4x < 8 using inverse operations. If you divide or multiply by a negative, flip the inequality sign.

$-4x < 8\\\\\frac{-4x}{-4} < \frac{8}{-4}$

x > -2

8 0

3 years ago