Consider the line through (-1, -4) and (1, 2)What is the y-intercept (b) of the line?​

Answer:

C. A straight line that goes through the origin.

Step-by-step explanation:

A graph representing a proportional relationship between variable x and variable y will have a straight line. This straight line must also cut across or pass through the point of origin (0, 0).

Therefore, the answer is: "A straight line that goes through the origin."

Answer:

(√2 - √6) / 4

C. square root of two minus square root of six divided by four.

Step-by-step explanation:

sine of negative eleven pi divided by twelve.

We have :

sin(-11π/12)

sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)

sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)

Recall:

Angle difference formula:

sin(A - B) = sinAcosB - sinBcosA

Hence,

sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)

From trigonometry:

sinπ/3 = √3/2

cos5π/4 = -√2/2

sin5π/4 = -√2/2

cos π/3 = 1/2

(√3/2) (-√2/2) − (-√2/2) (1/2)

-√6/4 - -√2/4

-√6/4 + √2/4

√2/4 - √6/4

(√2 - √6) / 4

Answer

3/10

Step-by-step explanation:

The probability that takes exactly four interviews to find the first applicant with previous experience will be 0.3845.

Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as

[tex]\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}[/tex]

At a big pharmaceutical company, historically, just 35% of applicants for an internship in statistical programming had prior computer software experience. Assume that candidates are chosen at random and questioned one at a time.

p = 0.35

Then the probability is given as,

P = ⁴C₁ x (0.35)¹ x (1 - 0.35)³

P = 0.3845

The probability that takes exactly four interviews to find the first applicant with previous experience will be 0.3845.

More about the binomial distribution link is given below.

https://brainly.com/question/14565246

#SPJ2

Answer:

The expression can be rewritten by combining like terms such as:

[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]

Step-by-step explanation:

Like term:

We know that like terms are those terms with:

For example,

2x and 4x are the like terms. Both have the same variables and the same power of the variable.

Similarly, 2x³ and 4x³ are like terms. Both have the same variables and the same exponents of the variables.

Please note that the like terms may have different coefficients of the variables.

NOW, REWRITING THE EXPRESSION BY COMBINING LIKE TERMS

Given the expression

[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)[/tex]

Here in the parentheses:

as

Combining like terms in the parentheses

[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]

Therefore, the expression can be rewritten by combining like terms such as:

[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]

Answer:

Srry I can't help

Step-by-step explanation:

i cant reallly see so yh

Step-by-step explanation:

Answer:

552.98

Step-by-step explanation:

using a calculator

Answer:

It equals 552.98

Step-by-step explanation:

Answer:

d) [tex]105.7\ \text{gallons}[/tex]

Step-by-step explanation:

[tex]150\ \text{miles}[/tex] requires [tex]45.3\ \text{gallons of fuel}[/tex]

[tex]1\ \text{mile}[/tex] requires [tex]\dfrac{45.3}{150}\ \text{gallons of fuel}[/tex]

[tex]200\ \text{miles}[/tex] requires [tex]200\times \dfrac{45.3}{150}=60.4\ \text{gallons of fuel}[/tex]

So, total amount of gasoline required for the trip is [tex]60.4+45.3=105.7\ \text{gallons}[/tex].

Answer:

80,000,000

Step-by-step explanation:

Answer:

12.5 ft

Step-by-step explanation:

To solve this, we would be applying Pythagoras theorem to it.

Assuming that our given angle is the hypotenuse. Since it says it's closer to the elevated angle. Then, we're looking for a side, A, which is on the opposite side of the angle in the question.

Using sine rule, we know that

Sin 30 = x/25

x = 25 sin 30

x = 25 * 0.5

x = 12.5 ft

Therefore the answer is 12.5 ft

Answer:

(9,2) and (-6,2).

Step-by-step explanation:

Rectangular Coordinates

The lower vertices of a rectangular welcome sign in Mr. Brettler's gym are (9,-3) and (-6,-3).

Note these two vertices are 3 units below the x-axis. We know the sign is 5-foot tall, so the y-coordinates of the two upper vertices should be -3+5=2.

The upper vertices of the sign on the grid are (9,2) and (-6,2).

Answer:

1: Yes they are both equivalent because 48/8 is 6 and 24/4 is 6.

2: They would score 750 points because you divide 150 by 3 and get 50, then you multiply 50 by 15 and get 750!

Step-by-step explanation:

Answer:

9e+97

Step-by-step explanation:

Answer:

it is b

Step-by-step explanation:

Answer:

Improper fraction: 23/4

Mixed number: 5 3/4

Answer:

5 3/4

Step-by-step explanation:

how many times does 4 go into 23? well 4×5=20, which seems like too little, so we'll try 4×6=24,

but that's too much so were sticking with the 5. So 5 is the first number

then since 4 times 5 is 20. but you have 23, there are 3 extra numbers

So you make them into a fraction: 3/4

So the answer is 5 3/4

also 23/4 is the improper fraction, 5 3/4 is the mixed number

Answer:

yes

Step-by-step explanation:

x=3-y

2(3-y)+7y=16

6-2y+7y=16

5y=10

y=2

x=3-2=1

Answer:

50 degrees

Step-by-step explanation:

Triangle = 180

180 - 90 = 90

? = 50 degrees

Answer:

2) A.[tex]\frac{14+x}{5}[/tex]

3) B. [tex]4(\frac{11}{x} )[/tex]

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

12x12-13x13=b2

144-169=b2

25

[tex]\sq\sqrt25\\[/tex]=5

Answer:

0.2 million

Step-by-step explanation:

Answer: are you ignoring me

Step-by-step explanation:

Answer:

allow for a diversity of opinions

Step-by-step explanation:

Answer:

Monday

Step-by-step explanation:

Given

[tex]Wendy = 3[/tex]

[tex]Xue = 4[/tex]

[tex]Today = Wednesday[/tex]

Required

Determine when next they will jog together

First, we calculate the L.C.M of the days they jog:

[tex]3 = 1 * 3[/tex] --- Wendy

[tex]4 = 1 * 2 * 2[/tex] ---- Xue

[tex]LCM = 1 * 3 * 2 * 2[/tex]

[tex]LCM = 12[/tex]

This means that they meet on the 12th day; The 12th day after a Wednesday is Monday.

Hence, they will meet on a Monday

Answer:

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Step-by-step explanation:

Answer:

[tex]35[/tex]

Step-by-step explanation:

The constraints are

The red line represents the function

[tex]y\leq \dfrac{1}{3}x+1[/tex]

At [tex]y=0[/tex]

[tex]0=\dfrac{1}{3}x+1\\\Rightarrow -1=\dfrac{1}{3}x\\\Rightarrow x=-3[/tex]

At [tex]x=0[/tex]

[tex]y=0+1\\\Rightarrow y=1[/tex]

Two points are [tex](-3,0),(0,1)[/tex]

The blue line represents the function

[tex]5\geq y+x[/tex]

at [tex]y=0[/tex]

[tex]5=x[/tex]

at [tex]x=0[/tex]

[tex]y=5[/tex]

Two points are [tex](5,0),(0,5)[/tex]

The other two constraints are [tex]x\geq 0[/tex], [tex]y\geq 0[/tex]. So, the point has to be in the first quadrant

From the graph it can be seen there are two points where the function will be maximum let us check them.

[tex](3,2)[/tex]

[tex]7x-2y=7\times 3-2\times 2=17[/tex]

[tex](5,0)[/tex]

[tex]7x-2y=7\times 5-2\times 0=35[/tex]

So, the maximum value of the function is [tex]35[/tex].

Answer:

5, -5

Step-by-step explanation:

Answer:

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Step-by-step explanation:

gh hg ghghbgvnghnk/.kl.ghn nb yhgkuylh89gmndfnuyhfgmdtym bh

Answer:

We conclude that the function remains constant over the interval [0, 2].

Step-by-step explanation:

We know that if x increases from left to right and y remains constant, the function remains constant over a certain interval.

From the given graph below, it is clear that from x = 0 to x = 2 the value of y does not change.

In other words, the value of y remains constant from x = 0 to x = 2.

i.e.

at x = 0, y = 5

at x = 1, y = 5

at x = 2, y = 5

Therefore, we conclude that the function remains constant over the interval [0, 2].

Answer:

well it can have 5 and 12