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3 years ago

2x+4y=16 what is the slope intercept form

1 answer:

3 0

Since slope intercept is y=mx+b, you first want to get rid of the 2x by subtracting it from both sides. after, you should end up with 4y=16-2x or 4y=-2x+16, they both are the same, but some teachers might prefer the slope first. after that, you want to get the y alone, so you divide everything by 4. you should end up with the slope intercept form being y=-2/4x+4, simplified to y=-1/2x+4.

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Solve the system of equations: y = 2x y = x2 - 3 please help asap

skelet666 [1.2K]

Answer:

y=x squared-2x-3

Step-by-step explanation:

I hope this helps

7 0

3 years ago

Albert walks 4/5 of a mile in 5/12 of an hour. what was the average speed miles er hour?

NISA [10]

Answer:

3mph

Step-by-step explanation:

his speed per hour will be 3 miles per hour

6 0

3 years ago

What is the vertex of the graph y = x^2 + 6x - 5 ?

Dafna11 [192]

Given: y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.

The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.

Use the given formula y = x^2 + 6x - 5 to find the value of y when x = -3:

y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14

Then the vertex is (-3, -14).

6 0

3 years ago

Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write wit

SCORPION-xisa [38]

Answer:

Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

Step-by-step explanation:

We are given the following hypothesis below;

Let p = proportion of people who write with their left hand

So, Null Hypothesis, $H_0$ : p = 0.22 {means that the proportion of people who write with their left hand is equal to 0.22}

Alternate Hypothesis, $H_A$ : p $\neq$ 0.22 {means that the proportion of people who write with their left hand is different from 0.22}

Now, Type I error states that we conclude that the null hypothesis is rejected when in fact the null hypothesis was actually true. Or in other words, it is the probability of rejecting a true hypothesis.

So, in our question; Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error states that we conclude that the null hypothesis is accepted when in fact the null hypothesis was actually false. Or in other words, it is the probability of accepting a false hypothesis.

So, in our question; Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

4 0

3 years ago

Which of the following is an equation of the circle with a center at (-1,4) and a radius of 2√5 units? plss pahelp naman

Ksivusya [100]

Answer:

Option A

Step-by-step explanation:

The standard form of an equation of a circle is represented by the formula $(x-h)^2+(y-k)^2 = r^2$ . Remember that $(h,k)$ is the center and $r^2$ is the radius squared.

So, the equation of the circle must be $(x+1)^2 +(y-4)^2 = 20$ . Complete the square to change the form of the equations listed in the options and find the one that is equal.

Let's try this with option A. Move the constants to the right side, then use the completing the square method to place the equation in standard form:

$x^2 + y^2 +2x -8y -3 = 0\\x^2 + y^2 +2x-8y = 3\\x^2 + 2x +y^2-8y = 3\\(x^2 +2x+1)+(y^2-8y +16)=3+1+16\\(x+1)^2 + (y-4)^2=20$

The end result matches with the equation determined before, so option A is the answer.

8 0

3 years ago