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3 years ago

3 (1 - 2v) - V = -1 (3y + 1)

Mathematics

1 answer:

Dominik [7]3 years ago

4 0

Answer: v = 3 /7 y + 4 /7

Step-by-step explanation:

Step 1: Add -3 to both sides.

−7v+3+−3=−3y−1+−3

−7v=−3y−4

Step 2: Divide both sides by -7.

−7v /−7 = −3y−4 /-7

v= 3 /7 y + 4 /7

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A recipe called for 5/9 cup of chopped lettuce and 5/6 cup of diced lettuce. In total, how many cups of lettuce did the recipe c

77julia77 [94]

Answer:

1 7/18

Step-by-step explanation:

5/9 + 5/6 write all numerators above the least common denominator which is 18.

10+15/18 then you add the numerators which will make it 25/18 which alternative form will be 1 7/18, or in decimal 1.38

3 0

3 years ago

what is -4.7+4.2 equal. please help I have a C+ in math and I need to find the answer to this question. so, please, please, plea

lana66690 [7]

Answer:

-0.5

Step-by-step explanation:

-4.7+4.2 = -0.5

3 0

3 years ago

Which description matches the transformations y=cos x undergoes to produce y=-2cos3x?

mrs_skeptik [129]

Answer:

horizontal compression by factor 3, vertical stretch by factor 2, then reflection across the x-axis ⇒ answer A

Step-by-step explanation:

* Lets revise some transformation

- A vertical stretching is the stretching of the graph away from

the x-axis

# If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched

by multiplying each of its y-coordinates by k.

# If k should be negative, the vertical stretch is followed by a reflection

across the x-axis.

- A horizontal compression is the squeezing of the graph toward

the y-axis.

# If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally

compressed by dividing each of its x-coordinates by k.

* Lets solve the problem

∵ y = cos x

∵ y = -2 cos 3x

- At first cos x multiplied by -2

∵ y multiplied by -2

∵ 2 > 1

∴ y = cos x is stretched vertically by factor 2

∵ The factor 2 is negative

∴ y = cos x reflected across the x-axis

∴ The function y = cos x stretched vertically with factor 2 and then

reflected across the x-axis ⇒ (1)

∵ cos x changed to cos 3x

∵ x multiplied by 3

∵ 3 > 1

∴ y = cos x compressed horizontally by factor 3

∴ The function y = cos x compressed horizontally by factor 3 ⇒ (2)

- From (1) and (2)

* The function y = cos x has horizontal compression by factor 3,

vertical stretch by factor 2, then reflection across the x-axis to

produce y = -2 cos 3x

5 0

3 years ago

M=-4/5,(-7, - 2) Find the equation of the line that has the given slope

ikadub [295]

Answer: $y=-\frac{4}{5}x-\frac{38}{5}$

Step-by-step explanation:

To find the equation, you plug in the slope and given point. Then, you can solve and find the y-intercept.

$-2=-\frac{4}{5}(-7)+b$ [multiply]

$-2=\frac{28}{5}+b$ [subtract both sides by $\frac{28}{5}$ ]

$b=-\frac{38}{5}$

Now that we have the y-intercept, the equation is $y=-\frac{4}{5}x-\frac{38}{5}$ .

8 0

3 years ago

Lillian kicks a football. Its height in feet is given by h(t)= -16t^2+72th(t)=−16t 2 +72t where tt represents the time in second

Hitman42 [59]

The after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

$\rm h(t)= -16t^2+72t$

Making perfect square:

$\rm h(t)= -[(4t)^2-72t+9^2 -9^2]$

$\rm h(t)= -[(4t-9)^2 -81]$

$\rm h(t)= 81-(4t-9)^2$

The highest point will be when term (4t-9)² becomes zero

So the highest point = 81 feet, and it takes:

t = 9/4 seconds

Thus, the after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ1

7 0

2 years ago