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3 years ago

Which of the following has a y-intercept of 3 y=3x+2 or x=3or y=2x+3 or y=x

Mathematics

1 answer:

hoa [83]3 years ago

3 0

Answer:

We conclude that the equation y=2x+3 has a y-intercept of 3.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the equation

y = 3x+2

comparing with the slope-intercept form y = mx+b

The slope-intercept of y = 3x+2 is: 2

Given the equation

x=3

Does not have a y-intercept.

Given the equation

y=x

comparing with the slope-intercept form y = mx+b

The slope-intercept of y=x is: 0

Given the equation

y=2x+3

comparing with the slope-intercept form y = mx+b

The slope-intercept of y=2x+3 is: 3

Thus, we conclude that the equation y=2x+3 has a y-intercept of 3.

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20.99 for a 42 lb-bag of dog food (im pretty sure your supposed to divide the last number to the first number example: 18.5÷11.9

ra1l [238]

Answer:

18.5÷11.99 is correct the answer is most likly option B

5 0

3 years ago

Complete the steps to find the area of the trapezoid.

Yuki888 [10]

Answer:

Area of rectangle: 256

Area of triangle 1: 24

Area of triangle 2: 16

Area of triangle 3: 96

Area of trapezoid: 120

Step-by-step explanation:

I just did the question on the thing so Ik I'm right.

-The graph measures by twos. To get the area of the rectangle get the base times height of it. That would be 16x16=256.

-Get base (8) times height (6) of triangle 1 then divide by 2, remember to count the squares by 2 for finding all areas. The formula would be 1/2(b)(h) because dividing by 2 is the same as multiplying times 1/2. Plug it in and (8)(6)=48 then divide by 2 which equals 24.

-Same formula for triangle 2. Plug it in and (8)(4)=32 and divide by 2 and it equals 16.

-Same formula for triangle 3. Plugged in is (12)(16)=192 divide by 2 and it equals 96.

-To find the area of the trapezoid get your rectangle area (256) and subtract all the triangle areas. So 256 - 6 - 16 - 96 = 120.

4 0

3 years ago

Read 2 more answers

RT has the endpoints (0, 2) and (4, 2). What is its midpoint?

Nimfa-mama [501]

R=(0,2), T=(4,2)
vector:
v=(4-0,2-2)=(4,0)
v/2=(2,0)

(0,2)+v/2=(2,2)

so (2,2) is the midpoint

3 0

4 years ago

Read 2 more answers

My quiz had 15 questions, I got a score of 67.8%. how many questions did I get wrong?

Ne4ueva [31]

You take 67.8/100×15
10.17
then take 15-10.17 the answer will be the wrongs u got
=4.83

4 0

3 years ago

Read 2 more answers

An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr

seraphim [82]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean compression strength from the extra carbonation of strawberry drink and μ2 be the mean compression strength from the extra carbonation of cola.

The random variable is μ1 - μ2 = difference in the mean compression strength from the extra carbonation of strawberry drink and the mean compression strength from the extra carbonation of cola.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 530

x2 = 553

s1 = 23

s2 = 16

n1 = 10

n2 = 10

t = (530 - 533)/√(23²/10 + 16²/10)

t = - 2.6

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [23²/10 + 16²/10]²/[(1/10 - 1)(23²/10)² + (1/10 - 1)(16²/10)²] = 6162.25/383.752

df = 16

We would determine the probability value from the t test calculator. It becomes

p value = 0.0097

Since alpha, 0.05 > than the p value, 0.0097, then we would reject the null hypothesis. Therefore, at 5% significance level, the data suggests that the extra carbonation of cola results in a higher average compression strength.

4 0

3 years ago