All categories

3 years ago

Which of the following is best modeled using a linear equation y=ax+b, where a is less than 0?

Mathematics

2 answers:

allsm [11]3 years ago

7 0

Your answer should be C because the slope line is negative so you're answer should be negative

lorasvet [3.4K]3 years ago

7 0

We are given y = ax + b.

Here, [a] represents the slope.

Which graph shows NEGATIVE SLOPE?

The graph starting at the upper left going to the bottom right is CHOICE C.

CHOICE C is the answer because the slope [a] must be negative.

You might be interested in

Evaluate x(– y + z) for x = –1, y = 2, and z = 5

Delicious77 [7]

Ok so lets plug it in
-1(-2+5)
3+-5
=-2

7 0

4 years ago

Read 2 more answers

The length of a rectangular garden is 1 yard less than twice the width. The area of the garden is 55 square yards. What is the w

katrin2010 [14]

Answer:

5 yards

Step-by-step explanation:

Area= 55

width=y(unknown)

length= 1+2y (given)

Formula for finding A=l*b

(1+2y)(y)=y+2y²

2y²=55-y

y=5

<h3>Verification</h3>

2*5²=55-5

2*25=55-5

5 0

3 years ago

Please help me with these questions , thank you

Angelina_Jolie [31]

Answer:

1. 4 $x^{3}$ + 26x² + 4x - 48

2. 2 $x^{3}$ - 23x² + 60x - 32

3. $x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

4. 2 $x^{7}$ + $x^{6}$ - 28 $x^{5}$ + 3x + 12

Step-by-step explanation:

To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.

1) Distribute the parenthesis (x + 6):

x(4x² + 2x - 8) + 6(4x² + 2x - 8)

4 $x^{3}$ + 2x² -8x + 6(4x² + 2x -8)

4 $x^{3}$ + 2x² -8x + 24x² + 12x - 48

Combine like terms:

4 $x^{3}$ + 26x² + 4x - 48

2) Distribute the parenthesis (x - 8):

x(2x² - 7x + 4) + (-8)(2x² - 7x + 4)

2 $x^{3}$ - 7x² + 4x + (-8)(2x² - 7x + 4)

2 $x^{3}$ - 7x² + 4x + -16x² + 56x - 32

Combine like terms:

2 $x^{3}$ - 23x² + 60x - 32

3) Distribute the parenthesis (x + 2):

x( $x^{4}$ + 7x² - 4) + 2( $x^{4}$ + 7x² - 4)

$x^{5}$ + 7 $x^{3}$ - 4x + 2( $x^{4}$ + 7x² - 4)

$x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

No like terms to combine, so:

$x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

4) Distribute the parenthesis (x + 4):

x(2 $x^{6}$ - 7 $x^{5}$ + 3) + 4(2 $x^{6}$ - 7 $x^{5}$ + 3)

2 $x^{7}$ - 7 $x^{6}$ + 3x + 4(2 $x^{6}$ - 7 $x^{5}$ + 3)

2 $x^{7}$ - 7 $x^{6}$ + 3x + 8 $x^{6}$ - 28 $x^{5}$ + 12

Combine like terms:

2 $x^{7}$ + $x^{6}$ - 28 $x^{5}$ + 3x + 12

hope this helps!

8 0

3 years ago

last year the number of cars sold was 39000 more than three times the number of trucks sold there were 216,000 cars sold last ye

Tom [10]

Answer:

25272 to the 10 power

Step-by-step explanation:

4 0

4 years ago

Math tangent of a circle Also sorry my sister got a hold of it<br> ASAP!!!

sweet-ann [11.9K]

Imagine we drew a line from the centre (2,0) to the point (0,4).

Essentially the line<u> we drew from the centre to that point on the circle is perpendicular to the tangent line slope-wise</u>.

The <u>slope of that line from the centre to the point is -2</u> based on the slope's equation or formula.

slope = $\frac{y2-y1}{x2-x1}=\frac{4-0}{0-2} =-2$

Therefore the <u>tangent equation's slope is 1/2</u> since any perpendicular line's slope is the negative reciprocal of the original line's slope.

By<u> using the point-slope form, we must have the point on the tangent plane (0,4) and the slope we found which is 1/2</u>.

$y - 4 = \frac{1}{2}(x-0)\\ y= \frac{1}{2}x + 4$

Hope that helps!

7 0

2 years ago