How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3? (4 points) None

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 1) and (0, 1). Everyth

HACTEHA [7]

Answer:

y > 2x + 1

Step-by-step explanation:

The equation of a straight line is

y = mx + b

Your graph looks like the diagram below.

Calculate the slope of the line:

$\begin{array}{rcl}m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = & \dfrac{1 - (-1) }{0 - (-1)}\\\\& = & \dfrac{2}{1}\\\\& = & \mathbf{2} \\\end{array}$

That eliminates Options B and D.

The y intercept is at y = 1.

That eliminates Option A.

The only inequality that fits is

y > 2x + 1

8 0

2 years ago

Read 2 more answers

Which of the following is equivalent to 8x2+20x+

kkurt [141]

<h2>answer </h2><h2>36</h2>

7 0

2 years ago

the point (4,0) lies on a circle with the center at the orgin. what is the area of the circle to the nearsest hundreth?

kvasek [131]

Answer:

50.27 units²

Step-by-step explanation:²

The standard equation of a circle with center at the origin is x² + y² = r², where r is the radius. Substituting 4 for x and 0 for y yields 4² + 0² = r², so we see immediately that r = 4 units.

The formula for the area of a circle is A = πr².

Here, with r = 4, the area is A = π(4 units)² = 16π units², or

50.27 units² to the nearest hundredth.

3 0

2 years ago

Find the total volume of the composite figure below. Round to the nearest thousandth.

cestrela7 [59]

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite ( $V$ ), in cubic feet, figure can be determined by this expression:

$V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l$ (1)

Where:

$r$ - Radius of the circle of the right cone, in feet.

$h$ - Height of the cone, in feet.

$w$ - Width of the cuboid, in feet.

$H$ - Height of the cuboid, in feet.

$l$ - Length of the cuboid, in feet.

If we know that $r = 10\,ft$ , $h = 10\,ft$ , $w = 20\,ft$ , $H = 7\,ft$ and $l = 18\,ft$ , then the volume of the composite figure is:

$V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)$

$V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}$

$V \approx 3567.198\,ft^{3}$

The volume of the composite figure is approximately 3567.198 cubic feet.

3 0

2 years ago

Find the center and radius for the circle by the equations: x2 + y2 + 5x - y + 2 = 0.

lord [1]

X2+5x+y2-y=-2
X2+2*5x2+(5/2)^2-(5/2)^2+y2-2*y/2+(1/2)^2-(1/2)^2=-2
(x+5/2)^2+(y-1/2)^2-13/2=-2
(x+5/2)^2+(y-1/2)^2=9/2
So centre =(-5/2,1/2)
Radius=(9/2)^(1/2)

7 0

2 years ago