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2 years ago

What is the slope of the following linear equation y + 2x = 5 ?

Mathematics

1 answer:

Arte-miy333 [17]2 years ago

4 0

Answer:

slope = -2

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. Since the given equation is not in the exact slope-intercept form, we need to rearrange it to identify the slope.

y + 2x = 5 <----- Given equation

y = -2x + 5 <----- Subtract 2x from both sides

Now, we can see that in the "m" position, there is a value of -2. This makes the slope = -2.

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Plz help me with this

jeyben [28]

Only the last two options are true.

The first one is false, because 4.5 is the value of the maximum of f(x), not the point where it is reached.

The second one is false, because g(x) has a maximum of 9, so it is a downward-facing parabola (just like f(x)), so it doesn't have a minimum.

The third one is true, because the maximum value of f(x) is 4.5, and the maximum value of g(x) is 9, which is twice the maximum of f(x)

The last one is false (see point 2).

3 0

3 years ago

Read 2 more answers

A survey of 25 young professionals fond that they spend an average of $28 when dining out, with a standard deviation of $10. (a)

skad [1K]

Answer:

a) The 95% of confidence intervals for the average spending

(23.872 , 32.128)

b) The calculated value t= 1< 1.711( single tailed test) at 0.05 level of significance with 24 degrees of freedom.

The null hypothesis is accepted

A survey of 25 young professionals statistically that the population mean is less than $30

Step-by-step explanation:

Step:-(i)

Given data a survey of 25 young professionals fond that they spend an average of $28 when dining out, with a standard deviation of $10

The sample size 'n' = 25

The mean of the sample x⁻ = $28

The standard deviation of the sample (S) = $10.

Level of significance ∝=0.05

The degrees of freedom γ =n-1 =25-1=24

tabulated value t₀.₀₅ = 2.064

Step 2:-

The 95% of confidence intervals for the average spending

( $(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )$

$(28 - 2.064 \frac{10}{\sqrt{25} } ,28 + 2.064\frac{10}{\sqrt{25} } )$

( 28 - 4.128 , 28 + 4.128)

(23.872 , 32.128)

a) The 95% of confidence intervals for the average spending

(23.872 , 32.128)

Null hypothesis: H₀:μ<30

Alternative Hypothesis: H₁: μ>30

level of significance ∝ = 0.05

The test statistic

$t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }$

$t = \frac{28-30 }{\frac{10}{\sqrt{25} } }$

t = |-1|

The calculated value t= 1< 1.711( single tailed test) at 0.05 level of significance with 24 degrees of freedom.

The null hypothesis is accepted

Conclusion:-

The null hypothesis is accepted

A survey of 25 young professionals statistically that the population mean is less than $30

8 0

3 years ago

Chaz bought 4 baseball cards for $2 each and 8 baseball cards for $3 each. Simplify the expression to find the amount Chaz spent

Murljashka [212]

The answer you will get when you multiple and add is 32

8 0

3 years ago

I need help with This question it saids how would you compare 2.3 feet To 27.1 inches

Savatey [412]

Answer:

TOP RIGHT BOX

2.3 x 12 = 27.6

27.6 > 27.1

Step-by-step explanation:

First thing you need to do is make their units the same.

There are 12 inches in a foot so we convert 2.3 feet to inches by multiplying 2.3 by 12:

2.3 x 12 = 27.6

You can also approach it like this:

12in = 1 ft

$2.3ft\times\dfrac{12inches}{1ft}=27.6$

So if we compare the two then we know that:

27.6 > 27.1

8 0

3 years ago

Bentley is working two summer jobs, making $18 per hour lifeguarding and making $8 per hour clearing tables. In a given week, he

Mariulka [41]

Answer:

8 hours

Step-by-step explanation:

First, let's find how much Bentley gets from clearing tables.

5 hours • $8 per hour = $40 total

We can take $40 off his $180 total, leaving the rest for when we figure out how much he needs to work lifeguarding.

$180 needed - $40 earned = $140 left to earn

We know that Bentley makes $18 an hour lifeguarding, so in order to get the number of hours he would need to work in order to make $140, we can divide it by $18.

$140 needed ÷ $18 per hour = 7.77...

We need to convert this to a whole number because we're talking about hours worked, so Bentley would need to work 8 hours lifeguarding to make $140 more. He can only work 15 hours total, so let's check if this exceeds his limit.

5 hours clearing tables + 8 hours lifeguarding = 13 hours < 15 hours max

It is possible to make $180 total from this work schedule, so your answer would be 8 hours.

8 0

3 years ago