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3 years ago

what is the slope of the line given by the equation y= -2x? Enter your answer as an integer or fraction in lowest terms

Mathematics

1 answer:

shutvik [7]3 years ago

8 0

Answer:

-2

Step-by-step explanation:

the slope is -2 because it says -2x and the number attached to x is the slope

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A family buys groceries for $154.35, including $10.37 in taxes. The bill includes $27.83 worth of items that are not taxable. Fi

mart [117]

154.35 - 10.37 = 143.98
143.98 - 27.83 = 116.15
10.37 = 116.15x
x = 0.0893

Change x to percent form to get 8.93% tax rate.

3 0

3 years ago

baherus [9]

Answer: see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

4 0

4 years ago

Andrew has three times as many pens as Owen. Together they have 20 pens. How many pens Andrew have?

Softa [21]

Andrew has 10 pens bc it's half of twenty

3 0

3 years ago

Rename 18/7 as a mixed number by dividing the numerator by the denominator

Elena-2011 [213]

2 with 4/7 next to it :)

4 0

3 years ago

Read 2 more answers

Could someone help me pls with this question it is math !

Nana76 [90]

Answer:

B) 275n + 1000 = 2700

Step-by-step explanation:

n is just a placer holder for how many days the Carter family can vacate.

That being said, the question says that they will spend 275 per day, which is per n. You want to multiply 275 by n.

Then the question says it plans to spend $1000 on meals (that's a lot). Instead of substracting, you are going to add for this equation. You want the equation to match; you want both sides to equal 2700 so you can determine how many days you can spend there.

6 0

3 years ago