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Nat2105 [25]
2 years ago
15

Identify an equation in slope-intercept form the line parallel to y=-3x+7that passes through (2,-4)

Mathematics
2 answers:
gregori [183]2 years ago
6 0

Answer:

y=-3x+2

Step-by-step explanation:

Same slope = parallel. You can aso double check this answer by either graphing using the desmos online graphing calculator or by plugging in the point into the equation y = -3(2) + 2 --> y = -6 + 2 --> y = -4, so we are correct.

tresset_1 [31]2 years ago
4 0

Answer:

y=-3x+2

Step-by-step explanation:

In this equation the slope is the same as the original equation (-3), but has a different y-intercept meaning that this line is parallel. As for satisfying the requirement that the line is parallel <em>and</em> passes through (2,-4), I plugged the coordinates into the equation y=-3x+b to get  -4=-3(2)+b, and then found what b would have to equal to make the equation true.

(plus I put my answer into a graphing calculator to check my work)

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Big babies: The National Health Statistics Reports described a study in which a sample of 354 one-year-old baby boys were weighe
Vedmedyk [2.9K]

Answer:

Yes. The data provide enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.

P-value=P(t>2.84)=0.0024

Step-by-step explanation:

Hypothesis test on the population mean.

The claim is that the mean weight of one-year-old boys is greater than 25 pounds.

Then, the null and alternative hypothesis are:

H_0: \mu=25\\\\H_a:\mu>25

The significance level is α=0.05.

The sample size is n=354. The sample mean is 25.8 pounds and the sample standard deviation is 5.3 pounds. As the population standard deviation is estimated from the sample standard deviation, we will use a t-statistic.

The degrees of freedom are:

df=n-1=354-1=353

The t-statistic is:

t=\dfrac{\bar x-\mu}{s/\sqrt{n}}=\dfrac{25.8-25}{5.3/\sqrt{354}}=\dfrac{0.8}{0.2817}=2.84

For a right tailed test and 353 degrees of freedom, the P-value is:

P-value=P(t>2.84)=0.0024

As the P-value is smaller than the significance level, the effect is significant and the null hypothesis is rejected.

There is enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.

7 0
2 years ago
Evaluate 4(3h + 7)<br> ————— for h = -2<br> 4 +h
Juliette [100K]

If i understood the question right, you're trying to find the value when h = -2. If that's true so here is how it's done:

4(3h + 7)\\4(3(-2) + 7)\\4(-6+7)\\4(1)\\=4

3 0
3 years ago
Please can some explain how to identify angles that on the same segment? ​
sp2606 [1]

Step-by-step explanation:

Angles in the same segment. The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.

Picture 1  a° = a°  they are the same

Picture 2  p= 52°  q= 40° Angles in the same segment are equal. if they ask you to calculate you just show both angles p= 52 and q=40.

Picture 3 + 4  Let the obtuse angle MOQ = 2x.  

Using the circle theorem, the angle at the centre is twice   the angle at the circumference.

Therefore picture 4 tells us and proves;

Angle MNQ = x and angle MPQ = x.

Picture 5

A cyclic quadrilateral is a quadrilateral drawn inside a circle. Every corner of the quadrilateral must touch the circumference of the circle.

The second shape is not a cyclic quadrilateral. One corner does not touch the circumference.

Picture 6

The opposite angles in a cyclic quadrilateral add up to 180°.

a + c = 180°

b + d = 180°

Picture 7

Example

Calculate the angles a and b.

The opposite angles in a cyclic quadrilateral add up to 180°.

This is a picture that couldn't be added but has a quadrilateral occupying half the triangle consisting of 3 arcs the middle one was 140 and proved part of one triangle. The x (a) missing angle showed below a = 180-60 = 120 °

So hopefully this will help you remember the format here for quadrilateral shapes within a circle.

b = 180 - 140 = 40°

a = 180 - 60 = 120°

8 0
3 years ago
Joannie lent 200$ to her sister. Four years later, her sister repaid her in full with 228$. What a simple annual interest rate d
tatiyna
I believe the interest world be 3.5%
6 0
2 years ago
Read 2 more answers
The graph represents this system of equations y equals 4 - x y equals x - 2 what is the solution to the system of equations
babunello [35]

The solution to the system of equations is (3,1)

Step-by-step explanation:

The system of equations represented by graph are:

y=4-x\\y=x-2

Solving the system of equations

Let:

y=4-x\,\,\,eq(1)\\y=x-2\,\,\,eq(2)

Putting value of y from eq(2) into eq(1):

x-2=4-x\\Simplifying:\\x+x=4+2\\2x=6\\x=6/2\\x=3

So, Value of x = 3

Putting value of x into eq(2)

y=x-2\\y=3-2\\y=1

So, value of y= 1

So, The solution to the system of equations is (3,1)

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

4 0
3 years ago
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