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3 years ago

Plot the x intercepts of the function

Mathematics

1 answer:

Nutka1998 [239]3 years ago

5 0

Answer:

(-1,0), (3,0)

Step-by-step explanation:

(x+1)(x-3) = y

We are trying to find the values for x which make y = 0.

y can only equal 0 when x+1 or x-3 =0

When you solve both x+1 =0, and x-3=0, your solution set is x = -1,3 --> (-1,0), (3,0)

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2x - 5y +10x - 2y + 3z solve.

Margarita [4]

Answer:

12x-7y+3z

Step-by-step explanation:

8 0

2 years ago

Solve by taking the square root of both sides.

horrorfan [7]

Answer:

Step-by-step explanation:

Given

3(x + 3)² - 81 = 0 ( add 81 to both sides )

3(x + 3)² = 81 ( divide both sides by 3 )

(x + 3)² = 27 ( take the square root of both sides )

x + 3 = ± $\sqrt{27}$ = ± 3 $\sqrt{3}$ ( subtract 3 from both sides )

x = - 3 ± 3 $\sqrt{3}$

x = - 3 - 3 $\sqrt{3}$ or x = - 3 + 3 $\sqrt{3}$ → a

8 0

2 years ago

Read 2 more answers

I am offering another 100 points

Ivahew [28]

Answer:

$\sf Since \;\sqrt{\boxed{64}}=\boxed{8}\;and\;\sqrt{\boxed{81}}=\boxed{9}\; \textsf{it is known that $\sqrt{75}$ is between}\\\\\sf \boxed{8}\;and\;\boxed{9}\;.$

Step-by-step explanation:

Perfect squares: 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, ...

To find $\sf \sqrt{75}$ , identify the perfect squares immediately before and after 75:

64 and 81

$\begin{aligned}\sf As\;\; 64 < 75 < 81\; & \implies \sf \sqrt{64} < \sqrt{75} < \sqrt{81}\\&\implies \sf \;\;\;\;\;8 < \sqrt{75} < 9 \end{aligned}$

$\sf Since \;\sqrt{\boxed{64}}=\boxed{8}\;and\;\sqrt{\boxed{81}}=\boxed{9}\; \textsf{it is known that $\sqrt{75}$ is between}\\\\\sf \boxed{8}\;and\;\boxed{9}\;.$

See the attachment for the correct placement of $\sf \sqrt{75}$ on the number line.

6 0

10 months ago

Read 2 more answers

What is the y- intercept of the line?

Nadusha1986 [10]

The y-intercept of the line is 40

6 0

2 years ago

The population of Luis’s city in 2005 was 7400 and the population in 2010 was 9000. Let x represent the number of years since 20

podryga [215]

Answer:

The linear equation is;

y = 320x + 7400

Step-by-step explanation:

Here, we want to write a linear equation that represents the population y at a year since 2005

To write this, we need points

Initially, we have (0,7400)

Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)

Mathematically, we can get the slope as follows;

m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320

The equation of the line can be represented using the general form as;

y = mx + b

where m is 320 and b is unknown

So we have the equation as;

y = 320x + b

we need to get b

To get b, we can use any point

let us use the point (0,7400)

substituting this;

7400 = 320(0) + c

c = 7400

so the equation is;

y = 320x + 7400

4 0

2 years ago