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3 years ago

Simplify the expression— 3/4(z+ 2/5)+2z

Mathematics

1 answer:

kogti [31]3 years ago

8 0

Answer:

2 3/4z +3/10

Step-by-step explanation:

3/4(z+ 2/5)+2z

Distribute the 3/4

3/4z + 3/4*2/5 +2z

3/4z + 6/20 +2z

3/4z +3/10 +2z

Combine like terms

2 3/4z +3/10

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Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative StartFraction one-third EndFr

DiKsa [7]

Answer:

$y=-\frac{1}{3} x+5$

Step-by-step explanation:

Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.

Since they give you two points $(x_1,y_1)$ and $(x_2,y_2)$ for the line, use them to find the slope of the line that goes through them, with the formula: $slope=\frac{y_2-y_1}{x_2-x_1} =\frac{7-6}{-6-(-3)} =\frac{1}{-3} =-\frac{1}{3}$

Therefore, the slope of the line must be $-\frac{1}{3}$

Now, find the y-intercept (b) using the general form of a line with the given slope:

$y=-\frac{1}{3}x +b$

Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):

$y=-\frac{1}{3} x+b\\6=-\frac{1}{3}(-3)+b\\6=1+b\\b=6-1=5$

then the y-intercept must be 5. Therefore our line is : $y=-\frac{1}{3}x +5$ which appears listed as your second choice.

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3 years ago

Read 2 more answers

A rock is kicked horizontally at 15 m/s from a hill with a 45degree slope. How long does it take for the rock to hit the ground?

LekaFEV [45]

The time of flight of a half projectile motion is given by V0 sin θ / g = 15(sin 45) / 9.8 = 1.08 seconds.

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3 years ago

In a certain chemical, the ratio of zinc to copper is 3 to 19.A jar of the chemical contains 874 grams of copper.How many grams

marusya05 [52]

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4 years ago

Which logarithmic equation is equivalent to the exponential equation below? e^a=60

Goryan [66]

Answer:

Option B. $ln(60)=a$

Step-by-step explanation:

we have

$e^{a}=60$

solve for a

Applying logarithm neperian (ln) both sides

$ln(e^{a})=ln(60)$

$a*ln(e)=ln(60)$

Remember that $ln(e)=1$

$a=ln(60)$

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3 years ago

Jorge has $24 on a gift card. He only uses the gift card to buy $1.75 cups of coffee. What is the total change in the amount in

user100 [1]

Jorge would have $8.25 left. This answer does not include 9 cups + the $1.75 it said he bought in the beginning. I’m pretty sure the 9 is the total amount of cups he bought. If it isn’t then subtract another $1.75 and you should get $6.50

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3 years ago