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3 years ago

6. Which of the following is the graph of the equation y = −2x2 − 3x + 4?

Mathematics

1 answer:

Stells [14]3 years ago

4 0

Answer:

From the looks of the graph, it looks like the answer will be Letter C. (The last graph).

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex: ( − 3 /4 , 41 /8 )

Focus: ( − 3 /4 , 5 )

Axis of Symmetry: x = − 3 /4

Directrix: y = 21 /4

x y

− 3 − 5

− 2 2

− 3 4

41 8

0 4

1 − 1

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A rectangular prism has a volume of 60 cubic centimeters. The height of the prism is 3 centimeters. What is the area of the base

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Answer:

Area = 20 square centimeters

Step-by-step explanation:

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3 years ago

A multiplier of 1.641 corresponds to a percentage increase or decrease of what percent?

bezimeni [28]

Answer:

A multiplier of 1.641 corresponds to a percentage increase or decrease of 64.1%.

Step-by-step explanation:

To determine a percentage increase or decrease of a certain number, a calculation consisting of the multiplication of said number by 1 plus the decimals corresponding to the percentage to be increased must be performed. Thus, for example, if you want to increase a number by 50%, you must multiply that number by 1.50. Therefore, if you multiply a number by 1,641, this implies that you are wanting to increase or decrease the initial number by 64.1%.

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3 years ago

Fine the equation of the line that is perpendicular to the given line and passes through the given point. Enter the right side o

Kipish [7]

Answer:

$y=-\frac{4}{7} x+\frac{55}{7}$

Step-by-step explanation:

Change the given equation to slope-intercept to get $y=\frac{7}{4}x-\frac{1}{4}$ . When you multiply the slopes of perpendicular lines, you get -1. -1 divided by $\frac{7}{4}$ is $-\frac{4}{7}$ . The slope of the new line is then $-\frac{4}{7}$ . The perpendicular line passes through (5, 5) so you can have the equation $5=-\frac{4}{7} (5)+b$ . Simplifying gets $b = \frac{55}{7}$ . So now the final equation for the perpendicular line is $y=-\frac{4}{7} x+\frac{55}{7}$

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3 years ago

How do I solve this problem

Vaselesa [24]

C = 84 degrees

A = 2B
C = A + 20
A + B + C = 180

A = 2B
A/2 = B

A + (A/2) + (A+20) = 180
multiply each side by 2
2A + A + 2A + 40 = 360
combine like terms
5A + 40 = 360
subtract 40 from both sides
5A = 320
divide both sides by 5
A = 64

C = A + 20
C = 64 + 20
C = 84

4 0

3 years ago