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3 years ago

The equation of a line parallel to 2x−y+4=0 that passes through the point ( -1, 5) is ___?

Mathematics

2 answers:

soldier1979 [14.2K]3 years ago

5 0

Answer: y = 2x + 7

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents y intercept

m represents the slope of the line.

The equation of the given line is

2x - y + 4 = 0

y = 2x + 4

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 1, 5) is 2

To determine the y intercept, we would substitute m = 2, x = - 1 and y = 5 into y = mx + c. It becomes

5 = 2 × - 1 + c

5 = - 2 + c

c = 5 + 2 = 7

The equation becomes

y = 2x + 7

IrinaK [193]3 years ago

3 0

Answer:

y=2x+7

Step-by-step explanation:

2x−y+4=0

y=2x+4

m=2

Line are parallel, so their slope is the same.

A(-1,5)... x1 =-1,y1 =5

y-y1 =m(x-x1)

y1 - 5=2(x-(-1))

y1 - 5=2(x+1)

y1-5=2x+2

y=2x+2+5

y=2x+7

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The Genetics & IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceivi

Reika [66]

Answer: The test statistic needed to test this claim= 10.92

Step-by-step explanation:

We know that the probability of giving birth to a boy : p= 0.5

i..e The population proportion of giving birth to a boy = 0.5

As per given , we have

Null hypothesis : $H_0: p\leq0.5$

Alternative hypothesis : $H_a: p>0.5$

Since $H_a$ is right-tailed , so the hypothesis test is a right-tailed z-test.

Also, it is given that , the sample size : n= 291

Sample proportion: $\hat{p}=\dfrac{239}{291}\approx0.82$

Test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$ , where n is sample size , $\hat{p}$ is sample proportion and p is the population proportion.

$\Rightarrow\ z=\dfrac{0.82-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{291}}}\approx10.92$

i.e. the test statistic needed to test this claim= 10.92

Critical value ( one-tailed) for 0.01 significance level = $z_{0.01}=2.326$

Decision : Since Test statistic value (10.92)> Critical value (2.326), so we reject the null hypothesis .

[When test statistic value is greater than the critical value , then we reject the null hypothesis.]

Thus , we concluded that we have enough evidence at 0.01 significance level to support the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy.

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3 years ago

Find the squares of (m-1)

Alchen [17]

Answer:

Solution

verified

Verified by Toppr

−3m−1=0

−3m=1 → (1)

Third term =(

coeeficientofm)

(

×(−3))

−3

)

Adding

to both sides of equation (1), we get

−3m+

=1+

∴ m

−3m+

4+9

∴ (m−

)

Taking square roots on both sides

∴ m−

=±

∴ m=

or m=

−

3−

are the roots of the given quadratic equation.

8 0

2 years ago

3. Which relation is a function?

Pani-rosa [81]

Answer:

Step-by-step explanation:

Recall that functions are defined only if for each value in the domain produces one and only one value in the range.

If we view the relations in the questions as x-y coordinates, this means that for every x-value, you can only have one y-value

Lets evaluate the options:

A) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)

C) we can see that for x = 3, this gives 2 possible values for y i.e (3,-8) and (3,8) (hence this is not a function)

D) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)

the only choice where this doesn't occur is choice B

6 0

3 years ago

2 1⁄2 ÷ 1 3⁄6 please help me with the RIGHT answer.

ycow [4]

Answer:

$1\frac{2}{3}$

Step-by-step explanation:

We want to simplify:

$2 \frac{1}{2} \div 1 \frac{3}{6}$

This is the same as:

$2 \frac{1}{2} \div 1 \frac{1}{2}$

Now let us convert the mixed numbers to improper fractions.

$\frac{5}{2} \div \frac{3}{2}$

We multiply by the reciprocal of the second fraction to get:

$\frac{5}{2} \times \frac{2}{3}$

Cancel out the common factors to obtain:

$\frac{5}{3} = 1 \frac{2}{3}$

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3 years ago

If y = 9x − 7, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

Crazy boy [7]

Answer:

0,-7 8,567;7,57,6,6,6,6,6,78,3,5

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3 years ago