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2 years ago

If b = the number of boys, which algebraic expression represents the phrase

Mathematics

1 answer:

Olegator [25]2 years ago

7 0

If b = the number of boys, which algebraic expression represents the phrase

below?

the sum of the number of boys and 15 girls

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(5,1); m=2 write an equation of the line

gtnhenbr [62]

Hey there! :)

To find an equation of a line that passes through (5, 1) and has a slope of 2, we'll need to plug our known variables into the slope-intercept equation.

Slope-intercept equation : y = mx + b ; where m=slope, b=y-intercept

Since we're already given the slope, all we really need to do is find the y-intercept.

We can do this by plugging our known values into the slope-intercept equation.

y = mx + b

Since we're trying to find "b," we need to plug in "y, m, x" into our formula.

(1) = (2)(5) + b

Simplify.

1 = 10 + b

Subtract 10 from both sides.

1 - 10 = b

Simplify.

-9 = b

So, our y-intercept is 9!

Now, we can very simply plug our known values into slope-intercept form.

y = mx + b

y = 2x - 9 → final answer

~Hope I helped!~

3 0

2 years ago

In a survey of 200 professors at Gotham University, professors were asked, “Regarding your weight, do you think you are: About r

DochEvi [55]

The probability that a randomly selected professor is female and feels "About Right" is 0.40

The distribution table :

____About right _ Oweight _ Uweight __ Total

Female _ 80 _____ 39 ______ 3 _______ 122

Male ___ 52 _____ 10 ______ 16 _______ 88

Total ___ 132 ____ 49 ______ 19 _______ 200

Oweight = Overweight

Uweight = Underweight

Recall :

Probability = required outcome / Total possible outcomes

Probability that a selected professor is female and feels 'About right' :

Required outcome = number of female professors who feels 'About right' = 80

Total number of professors = 200

Hence,

P(Female and 'About right') = 80/200 = 0.40

Learn more : brainly.com/question/11234923

3 0

2 years ago

I need help apparently i dont get it

soldi70 [24.7K]

Use pemdas then youll get it way better!

5 0

2 years ago

Graph<img src="https://tex.z-dn.net/?f=fx%3D%20%7Cx%2B1%7C%20%2B2" id="TexFormula1" title="fx= |x+1| +2" alt="fx= |x+1| +2" alig

AURORKA [14]

Answer:

The graph is shown in the following image

Step-by-step explanation:

The parent function of $f(x) = | x + 1 | +2$ is $y = | x |$

The graph of $y = | x |$ is the union of two lines:

$y = x$ for $x\geq0$

$y = -x$ for $x$

The vertex of this graph is in point (0,0)

<em>The graphic is shown in the attached image</em>.

Then, if we do $y = f(x + 1)$ to the parent function we get:

$y = | x + 1 |$

This transformation shifts the graph of $y = |x|$ 1 unit to the left

Then, if we make the transformation $y = f(x) + 2$ to the function $y = | x + 1 |$ we obtain:

$y = | x + 1 | +2$

This transformation displaces the graph of the function $y = | x + 1 |$ 2 units up on the y axis.

So, if the vertex of the main function $y = | x |$ was at point (0,0), the vertex of the function $f(x) = |x + 1| +2$ has its vertex in the point (-1, 2).

<em>The graph is shown in the following image</em>

5 0

3 years ago

Sebastian has 12 more trophies than megan. Megan has t trophies. How many trophies does sebastian have

lina2011 [118]

Answer:

t+12 trophies

Step-by-step explanation:

Since we cannot determine the value of t, the only thing we can do is write the expression t+12

8 0

2 years ago

Read 2 more answers