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3 years ago

6

Which of the following lists all the integer solutions of the inequality

1 answer:

gavmur [86]3 years ago

7 0

Answer is C. 0, 1, 2.

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Can anyone help out im a little confused.

Shtirlitz [24]

Answer:

$4 {q}^{3} \times 9 {q}^{4}$

$36 {q}^{7}$

7 0

3 years ago

Read 2 more answers

A line includes the point (7,5)has a slope of 1.What is its equation in slope intercept form?

Lina20 [59]

Given:

Point( 7, 5)

x = 7 and y=5

slope(m) = 1

We need to first find the intercept.

Substitute x=7, y=5 and m=1 into y=mx + b and solve for intercept(b)

5 = 1(7) + b

5 = 7 + b

5 - 7 = b

-2 = b

Now, form the equation by substituting the value of the slope and intercept into y=mx + b

y = x - 2

7 0

1 year ago

What is the remainder R when the polynomial p(x) is divided by (x - 2)? Is (x - 2) a factor of p(x)?

puteri [66]

Answer:

The answer can be calculated by doing the following steps;

Step-by-step explanation:

5 0

3 years ago

Find the missing lengths: LK=15 and KH=9, find KI and HI.

Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

$base^2+perpendicular^2=hypotenuse^2$

Use Pythagoras in triangle HKL

$LH^2+KH^2=LK^2$

$(LH)^2+9^2=15^2$

$(LH)^2+81=225$

$(LH)^2=144$

Taking square root on both sides.

$LH=12$

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

$(KI)^2+15^2=(12+x)^2$

$(KI)^2+225=x^2+24x+144$

$(KI)^2=x^2+24x+144-225$

$(KI)^2=x^2+24x-81...(1)$

Use Pythagoras theorem in ΔHKI,

$(KI)^2=x^2+9^2$

$(KI)^2=x^2+81...(2)$

From (1) and (2) we get

$x^2+81=x^2+24x-81$

$24x=162$

$x=\dfrac{162}{24}=6.75$

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

$(KI)^2=(6.75)^2+81$

$(KI)^2=126.5625$

Taking square root on both sides.

$KI=\sqrt{126.5625}$

$KI=11.25$

Hence, the measure of KI is 11.25 units.

3 0

3 years ago

Convert the rate 1000 ounces per 2 hours to cups per minutes?

Andrews [41]

125 cups in 120 minutes (because 1000 oz/8 = 125 cups and 2 hrs is 120 minutes)

$\frac{125}{120} = \frac{n}{1}$

now reduce the fraction by dividing the numerator and denominator by 5 = (optional)
$\frac{25}{24} = \frac{n}{1}$
So 24n = 25 Divide both sides by 24
n= 1 1/24 cups per minute

5 0

3 years ago