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2 years ago

Factor the expression x^2 +3x-10

Mathematics

1 answer:

maw [93]2 years ago

3 0

Answer:

(x+5)(x-2)

Step-by-step explanation:

x^2 +3x-10

What two numbers multiply to -10 and add to 3

5*-2 = -10

5+-2 = 3

(x+5)(x-2)

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Write each mixed number as an improper fraction and as a decimal then tell whether the decimal is terminating or repeating.

Sphinxa [80]

7) 29/9; repeating

8) 301/20; terminating

9) -101/20; terminating

5 0

3 years ago

Please I need help with this I don't understand my teacher gave us a valentines day assignment like what the heck I seriously do

Helen [10]

Answer:

A) 5x = y

B) $2x \leq 100$

Step-by-step explanation:

A is 5x = y because there are 5 pink hearts per the number of boxes (x) bought.

B uses the equation 2x is less than or equal to 100 because the teacher is spending 2 dollars per kid and can spend a maximum of 100.

The graph for this is attached.

6 0

2 years ago

A manufacturer of a certain brand of appliance estimates that he can sell 5000 units a year at Php 900.00 each and that he can s

Radda [10]

First solve the return in each price per unit

Return = number units sold x price per unit

Return1 = 5000 units x Php 900

Return1 = php 4,500,000

Next is solve the other price per unit

Return2 = number units sold x price per unit

Return2 = (5000 + 1500 units0 x ( php 900 – 100)

Return2 = php 5,200,000

So the php 800 per unit will have greater return

8 0

2 years ago

Read 2 more answers

The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci

Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that $n = 300$ and $\pi = \frac{10}{300} = 0.033$

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So $\alpha$ = 0.05, z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532$

The correct answer is

(0.0128, 0.0532)

4 0

2 years ago

Consider the function g(x) = sqrt(x + 4) - 6 which function has the same y-intercept as this function?

Inga [223]

Answer:

$f(x) = \frac{4}{x-8} - 3.5$

Step-by-step explanation:

The y intercept of g(x) is the value of g when x = 0.

In this problem

$g(x) = \sqrt{x+4} - 6$

The y-intercept is

$g(0) = \sqrt{0+4} = \sqrt{4} - 6 = 2 - 6 = -4$

$f(x) = \frac{4}{x-8} - 3.5$

The y-intercept is:

$f(0) = \frac{4}{0-8} - 3.5 = -0.5 - 3.5 = -4$

This is the correct answer

$f(x) = -\frac{4}{x} - 1$

The y-intercept is

$f(0) = -\frac{4}{0} - 1$

This is an asymptote

$f(x) = 2|x+2|$

The y-intercept is

$f(0) = 2|0+2| = 4$

$f(x) = |x - 4|$

The y-intercept is

[tex]f(0) = |0-4| = |-4| = 4.

7 0

3 years ago