Can anyone help? <br> A) $6.00<br> B) $5.00<br> C) $7.70<br> D) $6.50

(01.06) Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 3x − 3 The function g

Damm [24]

Answer:

<h2>They both have the same slope</h2>

Step-by-step explanation:

The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.

given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;

mx = 3x

Divide through by x

mx/x = 3x/x

m = 3

Hence the slope of the function f(x)= 3x − 3 is 3.

For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;

m = Δy/Δx = y₂-y₁/x₂-x₁

From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5

m = 5-2/1-0

m = 3/1 = 3

Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.

<em>This shows that both functions have the same slope.</em>

3 0

4 years ago

A student runs 35 m east and then 12 m west. What is the distance run by the

ValentinkaMS [17]

Answer:

A.47 m

Step-by-step explanation:

you a add 35 m east and 12 m west

5 0

3 years ago

Read 2 more answers

Can someone help me please

pishuonlain [190]

64 FL oz

1 pint is 12 fl oz.

Since you're looking for 4 pints, you multiply everything by 4.

1 x 4 = 4
12 x 4 = 64

7 0

4 years ago

Factor completely. 12x4+18x3+45x2 Enter your answer in the box.

lukranit [14]

QUESTION 1

The given expression is

$12x^4+18x^3+45x^2$

The greatest common factor is $3x^2$ .

We factor to obtain;

$3x^2(4x^2+6x+15)$

QUESTION 2

The given quadratic equation is

$x^2+6x-72=0$

We split the middle term to obtain

$x^2+12x-6x-72=0$

Factor by grouping;

$x(x+12)-6(x+12)=0$

$(x+12)(x-6)=0$

Use zero product property;

$(x+12)=0\:\:or\:\:(x-6)=0$

$x=-12\:\:or\:\:x=6$

QUESTION 3

The given system of equation is

$3x+4y=-8$

$7x-3y=6$

If we multiply $3x+4y=-8$ by 3, we obtain;

$9x+12y=-24$

If we multiply $7x-3y=6$ by 4 we obtain;

$28x-12y=24$

Adding the last two equations will give us;

$37x=0$

The y-variable is eliminated.

Answer:Multiply 3x+4y=−8

by 3. Multiply 7x−3y=6 by 4. Add the resulting equations together.

6 0

4 years ago

Find the area of the circle to the<br> nearest tenth. Use 3.14 for it<br> (11 mm)

Nikolay [14]

Answer:

The area of the circle is 379.94 mm²

Step-by-step explanation:

To solve this problem we need to use the area formula of a circle:

a = area

r = radius = 11 mm

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (11 mm)²

a = 3.14 * 121 mm²

a = 379.94 mm²

Round to the nearest tenth

a = 379.94 mm² = 379.9 mm²

The area of the circle is 379.9 mm²

4 0

3 years ago

Can anyone help? A) $6.00 B) $5.00 C) $7.70 D) $6.50