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3 years ago

For any two nonzero integers the product and quotient have the same sign.

1 answer:

8 0

<span>This statement is always true. For any two nonzero integers the product and quotient have the same sign. For example, -2*-3 = 6 and of we see -2/-3, then the result is 2/3. The sign in the result is same after product and quotient, but the result has the same sign.</span>

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Femi drove 290 miles from his college to home and used 23.2 gallons of gasoline. His sister, Kehinde, drove 225 miles from her c

Nata [24]

to find miles per gallon we simply do D/G

D = distance

G = gallons

290/23.2 = 12.5 mpg

225/15 = 15 mpg

Kehinde has better gas mileage.

3 0

3 years ago

Read 2 more answers

Find the value for x

harkovskaia [24]

Answer:

x=45

Step-by-step explanation:

add (3x-9)+30+24=180

subtract 30 and 24 from both sides

(3x-9) = 126

+9 on both sides

3x=135

divide by 3 on both sides

x=45

7 0

3 years ago

EXPRESS THE AREA OF THE ENTIRE RECTANGLE. YOUR ANSWER SHOULD BE A POLYNOMIAL IN STANDARD FORM

OlgaM077 [116]

Answer:

(x+7) times (x+3)

Step-by-step explanation:

Because a area of a rectangle is lw and you combine x and 3 to make x+3 and 7 and x to make x+7 and you multiply them together.

3 0

3 years ago

Read 2 more answers

Two girls scout troops are completing a wilderness campouts. The blue troops hikes 2/3 mile every 1/2 hour. The yellow troop hik

sergejj [24]

Answer:

<em>Yellow troop will complete the hike faster than blue troop</em>

<u>Blue troop hikes 1.33 miles in 1 hour</u>

<u>Yellow troop hikes 2.25 miles in 1 hour</u>

Missing portion:

Since the final statement is missing, so we will find how much distance can the troops travels in 1 hour and which troop can complete the hike faster.

Step-by-step explanation:

As given in the statement:

Blue troops travels $\frac{2}{3}$ miles ever $\frac{1}{2}$ hour:

$\frac{1}{2}$ hr = $\frac{2}{3}$ miles

1 hr = $\frac{(2)2}{3}$

1 hr= $\frac{4}{3}$ miles = 1.33 miles

Blue troop hikes 1.33 miles in 1 hour

Yellow troops travels $\frac{3}{4}$ miles ever $\frac{1}{3}$ hour:

$\frac{1}{3}$ hr= $\frac{3}{4}$ miles

1 hr = $\frac{(3) 3}{4}$ miles

1 hr = $\frac{9}{4}$ miles =2.25 miles

Yellow troop hikes 2.25 miles in 1 hour

<u><em>Yellow troop will complete the hike faster than blue troop</em></u>

7 0

3 years ago

Maths functions question!!

Marina86 [1]

Answer:

5) DE = 7 units and DF = 4 units

6) ST = 8 units

$\textsf{7)} \quad \sf OM=\dfrac{3}{2}\:units$

8) x ≤ -3 and x ≥ 3

Step-by-step explanation:

<u>Information from Parts 1-4:</u>

brainly.com/question/28193969

$f(x)=-x+3$

$g(x)=x^2-9$

A = (3, 0) and C = (-3, 0)

Points A and D are the <u>points of intersection</u> of the two functions.

To find the x-values of the points of intersection, equate the two functions and solve for x:

$\implies g(x)=f(x)$

$\implies x^2-9=-x+3$

$\implies x^2+x-12=0$

$\implies x^2+4x-3x-12=0$

$\implies x(x+4)-3(x+4)=0$

$\implies (x-3)(x+4)=0$

Apply the zero-product property:

$\implies (x-3)= \implies x=3$

$\implies (x+4)=0 \implies x=-4$

From inspection of the graph, we can see that the x-value of point D is <u>negative</u>, therefore the x-value of point D is x = -4.

To find the y-value of point D, substitute the found value of x into one of the functions:

$\implies f(-4)=-(-4)=7$

Therefore, D = (-4, 7).

The length of DE is the difference between the y-value of D and the x-axis:

⇒ DE = 7 units

The length of DF is the difference between the x-value of D and the x-axis:

⇒ DF = 4 units

To find point S, substitute the x-value of point T into function g(x):

$\implies g(4)=(4)^2-9=7$

Therefore, S = (4, 7).

The length ST is the difference between the y-values of points S and T:

$\implies ST=y_S-y_T=7-(-1)=8$

Therefore, ST = 8 units.

The given length of QR (⁴⁵/₄) is the difference between the functions at the same value of x. To find the x-value of points Q and R (and therefore the x-value of point M), subtract g(x) from f(x) and equate to QR, then solve for x:

$\implies f(x)-g(x)=QR$