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3 years ago

10

Need answer to this math problem

2 answers:

Elis [28]3 years ago

8 0

The slope of this line is the difference of the y values divided by the difference of the x values. Solving this give 4/-3. Then, you already know the b in y = mx+b, which is 2, because you already have the value (0, 2). So, the answer is y = $-\frac{4}{3}$ x + 2

Rasek [7]3 years ago

3 0

$y=mx+b\medskip\\\begin{cases}-2=3m+b\\2=b\end{cases}\Leftrightarrow\begin{cases}-2=3m+2\\b=2\end{cases}\Leftrightarrow\begin{cases}m=-\dfrac{4}{3}\\b=2\end{cases}\medskip\\y=-\dfrac{4}{3}x+2$

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Evaluate the expression 3x² + 2x - 4 for x =-2.

marin [14]

Answer:

4

Step-by-step explanation:

3x² + 2x - 4

3(-2)² + 2(-2) - 4

3(4) - 4 - 4

12 - 4 - 4

12 - 8

= 4

4 0

3 years ago

Use the image below to answer the following question. Find the value of sin x® and cos yº What relationship do the ratios of sin

Flauer [41]

Answer:

sin(x) and cos(y) are equal and have ratio of 1 : 1

First find the missing hypotenuse using Pythagoras theorem:

a² + b² = c²

12² + 5² = c²

c = √144+25

c = 13

using sine rule:

$sin(x) = \dfrac{opposite}{hypotenuse}$

$sin(x) = \dfrac{5}{13}$

using cosine rule:

$cos(y) = \dfrac{adjacent}{hypotenuse}$

$cos(y) = \dfrac{5}{13}$

4 0

2 years ago

Read 2 more answers

What equation does the model represent?

Vesnalui [34]

It would be 62+23=94 because you'll need to add the tens and the ones, then add it up

I think-_-

7 0

3 years ago

Find the measure of y in the drawing.<br><br> 51°<br> 129°<br> 61°<br> 139°

snow_lady [41]

Answer:

B) y = 129º

Step-by-step explanation:

since a triangle is 180º in total, the you have to subtract 71 and 58 from 180 which will give you 51º which gives you the amount for x

and the line that the triangle is on is also 180º in total, so you subtract the 51 from 180 to give you a total of 129º which is the amount for y

4 0

2 years ago

Read 2 more answers

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat

madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

The test statistics is $t = - 1.761$

The p-value is $p = P(Z < t ) = 0.039119$

so

$p \ge 0.01$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 122$

The sample size is n= 38

The sample mean is $\= x = 116 \ feet$

The standard deviation is $\sigma = 21$

Generally the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

Generally the test statistics is mathematically evaluated as

$t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }$

substituting values

$t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }$

$t = - 1.761$

The p-value is mathematically represented as

$p = P(Z < t )$

From the z- table

$p = P(Z < t ) = 0.039119$

So

$p \ge 0.01$

4 0

2 years ago