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3 years ago

Whats the answer to this question

Mathematics

2 answers:

Misha Larkins [42]3 years ago

7 0

Yes because 10-23 is -13 and -10 is greater than that

andriy [413]3 years ago

4 0

Answer:

Yes.

Step-by-step explanation:

We have been given an inequality. We are asked to determine whether 10 is a solution for the given inequality or not.

$x-23\leq -10$

Upon substituting $x=10$ in our given inequality, we will get:

$10-23\leq -10$

$-13\leq -10$

Since the solution $x=10$ satisfies our given inequality, therefore, 10 is a solution for the given inequality.

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EFGH is a parallelogram. Find the measure of FG and EG

navik [9.2K]

Answer:

FG = 44

EG = 80

Step-by-step explanation:

For FG:

1) 5z - 16 = 3z + 8

2) 5z = 3z + 24

3) 2z = 24

4) z = 12

5) 3(12) + 8 = 44

For EG:

1) 2w + 22 = 4w + 4

2) 2w = 4w - 18

3) -2w = -18

4) w = 9

5) 4(9) + 4 + 2w + 22 = 80

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2 years ago

1. Name of the missing segment. 2.Length of the missing segment.

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Answer:

Name: FE

Length: 13

Step-by-step explanation:

The total length is 34, so you would do 34-21, which equals 13.

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3 years ago

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Evaluate 17 + x when x = 16

Vesnalui [34]

Answer: 17+ 16 = 33

Good luck !

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3 years ago

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3 years ago

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Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic f

vladimir2022 [97]

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

$f(x)=ax^3+bx^2+cx+d$

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

$y = x^3 - x$

Equate y to 0

$x^3 - x = 0$

Expand

$x(x^2 - 1) = 0$

Express $x^2 - 1$ as difference of two squares

$x(x - 1)(x +1 ) = 0$

x = 0 or 1 or -1

For 2 x intercepts

$y = x^3 - x$

$y =(x-5)^2)(x+7)$

Equate y to 0

$(x-5)^2(x+7) = 0$

Expand

$(x-5)(x-5)(x+7) = 0$

x= 5 or x = -7

For 1 x intercept

$y = x^3$

Equate y to 0

$x^3 = 0$

Take cube roots of both sides

$x = 0$

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

$y = x^2 + x + 17$

The above function has no x intercept.

A quadratic function will have at least 1 x intercept when the function can be factorized;

E.g.

$y = x^2- 6x + 9$

Equate y to 0

$x^2- 6x + 9 = 0$

Expand

$x^2 - 3x - 3x + 9 = 0$

$(x - 3)(x-3) = 0$

$x = 3$

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

3 0

2 years ago