Select the correct answer.
Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?



A
B
C
D

Usual speed is given by :

[tex]s = \dfrac{45\times 60}{35} \ mph\\\\s=77.14 \ mph[/tex]

Now, we want to reach job exactly at 10 : 00 .

So, time taken is , t = 10:00 - 09:30

t = 30 minutes = 0.5 hours .

New speed is :

[tex]s'= \dfrac{45}{0.5} = 90 \ mph[/tex]

Therefore, increase in speed is ( 90 - 77.14 ) = 12.86 mph.

Hence, this is the required solution.

Answer:

10 / 28

Step-by-step explanation:

Answer:

0.88, 8.08, 8.80

2.4, 2.49, 3.71, 3.87, 4.92

Step-by-step explanation:

By logic.

Or mathematically speaking, if x is greater than y, means that x-y > 0.

Answer:

169

Step-by-step explanation:

3(4)+1

=12+1

=13

f(g(4))

f(x)=x^2 ---- (13)^2

=13x13

=169

Answer:

d

Step-by-step explanation:

Given

- [tex]\frac{3}{2}[/tex] x - 9 = - 27 ( add 9 to both sides )

- [tex]\frac{3}{2}[/tex] x = - 18 ( multiply both sides by 2 to clear the fraction )

- 3x = - 36 ( divide both sides by - 3 )

x = 12 → d

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▹ Answer

w, 5w², 2w² and -7w

▹ Step-by-Step Explanation

Terms are the values which are seperated by the plus sign (+) or the minus sign (-).

In this case, we have w + 5w² + 2w² - 7w

We can see that there is a total of 3 signs, two plus signs (+) and one minus sign (-).

Therefore, our terms will be w, 5w², 2w² and -7w. There is a total of 4 terms in this expression.

Hope this helps!

CloutAnswers ❁

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Answer:

False

True

True

False

Step-by-step explanation:

Answer:true true true false

Step-by-step explanation: did it in class

Answer:

The slope is undefined

Step-by-step explanation:

The equation of the line is x=-1 and this equation’s slope is undefined because it’s a vertical line.

Hope this helps and answers your question :)

Answer:

The line presented has an undefined slope.

Step-by-step explanation:

We are given two points of a line: (-1, 1) and (-1, 4).

Coordinate pairs in mathematics are labeled as (x₁, y₁) and (x₂, y₂).

Therefore, we know that the first coordinate pair can be labeled as (x₁, y₁), so, we can assign these variables these "names" as shown below:

We also can use the same naming system to assign these values to the second coordinate pair, (-1, 4):

We also need to note the rules about slope. There are different instances in which a slope can either be defined or it cannot be defined.

Circumstance 1: As long as the slope is not equal to zero, there can be a

Circumstance 2: If the slope is completely vertical (there is not a "run" associated with the line), there is an undefined slope. This is the slope of a vertical line. An example would be a vertical line (the slope is still zero).

Circumstance 3: If the line is a horizontal line (the line does not "rise" at all), then the slope of the line is zero.

Therefore, a slope can be positive, negative, zero, or undefined.

Now, we need to solve for the line we are given.

The slope of a line is determined from the slope-intercept form of an equation, which is represented as [tex]\text{y = mx + b}[/tex].

The slope is equivalent to the variable m. In this equation, y and x are constant variables (they are always represented as y and x) and b is the y-intercept of the line.

We can do this by using the coordinates of the point and the slope formula given two coordinate points of a line: [tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex]

Therefore, because we defined our values earlier, we can substitute these into the equation and solve for m.

Our values were:

Therefore, we can substitute these values above and solve the equation.

[tex]\displaystyle{m = \frac{4 - 1}{-1 - -1}}\\\\m = \frac{3}{0}\\\\m = 0[/tex]

Therefore, we get a slope of zero, so we need to determine if this is a vertical line or a horizontal line. Therefore, we need to check to see if the x-coordinates are the same or if the y-coordinates are the same. We can easily check this.

x₁ = -1

x₂ = -1

y₁ = 1

y₂ = 4

If our y-coordinates are the same, the line is horizontal.

If our x-coordinates are the same, the line is vertical.

We see that our x-coordinates are the same, so we can determine that our line is a vertical line.

Therefore, finding that our slope is vertical, using our rules above, we can determine that our slope is undefined.

Answer:

20°

Step-by-step explanation:

the sum of the angles gives 180°

20+2x+6x=180

20+8x=180°

8x=180-20

x=160°÷8°

x=20°

thank you!

Answer:

c) 20

Step-by-step explanation:

on edge 2021 || pls mark brainliest

Answer:

14 and 15

Step-by-step explanation:

Answer:

hmm, let me think some more

Step-by-step explanation:

Answer:

1=35 find angle 2 80+65-180=35

2= 65 vertical angles are congruent ex 115-180

3=29 ex. 90+65-180=29

4= 115 vertical angle congruent

5=65 vertical angles are congruent ex 115-180

6=65 35+80-180=65

7=144

Answer:

∠1 = 35                  ;      ∠2 = 65       ;     ∠3 = 29       ;      ∠4 = 115  

∠5 = 65               ;       ∠6 = 36       ;   ∠7 = 144

Step-by-step explanation:

∠4 = 115                              {Vertically opposite angles}

∠5 + 115 = 180                  {linear pair}

         ∠5 = 180 - 115

        ∠5 = 65

∠2 = ∠5         {Vertically opposite angles}

∠2 = 65

∠1 + 80 +∠2 = 180   {Angle sum property of triangle}

∠1 + 80 + 65=180

       ∠1 + 145 = 180

               ∠1 = 180 - 145

∠1 = 35

∠5 + ∠7 + 90 + 61 = 360   {angle sum property of quadrilateral}

65 + ∠ 7 + 90 + 61 = 360

          ∠7 + 216      = 360

                    ∠7      = 360 - 216

                       ∠7 = 144

∠6 + ∠ 7 = 180   {linear pair}

∠6 + 144 = 180

          ∠6 = 180 - 144

          ∠6 = 36

∠3 + ∠4 +∠ 6 = 180        {angle sum property of triangle}

∠3 + 115 + 36 = 180

      ∠3 + 151  = 180

               ∠3 = 180 - 151

               ∠3 = 29

Answer:

x - 6

Step-by-step explanation:

Stabilizing selection is occurring because the average is favored.

If its the same graph im thinking of.

The correct statement is a valid claim that could be made using the data in the graph is,

B) Stabilizing selection is occurring because the average is favored.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, On this graph we can observe the workings of the stabilizing selection.

Since, Stabilizing selection tends to favor the average phenotype and eliminate the extremes.

Essentially, this means that the natural selection is selecting the mean value of a trait as optimal.

Hence, In our case, the mean weight of newborns is selected as optimal, because newborns born with less weight can be too weak to survive and the ones that have too much weight (are too big) can hurt the mother during birth.

Thus, The correct statement is a valid claim that could be made using the data in the graph is,

B) Stabilizing selection is occurring because the average is favored.

Learn more about the mathematical expression visit:

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Answer:

Y = -3/2x + 5

Step-by-step explanation:

Slope (rise/run) is -3/2 and the y - intercept is 5.

Hope this helps. Pls give brainliest.

Answer:

[tex]m=\frac{1}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-8, -1)

Point (-12, -2)

Step 2: Find slope m

Answer:

f-1(x)= x+9/-5

Step-by-step explanation:

1. To determine the inverse of the given function, first change f(x) to y. Then, switch x and y in the equation.

2. Now, solve the equation for y.

3. Finally, change y to f -1(x).

Answer:

The answer is -6.

Step-by-step explanation:

Answer:

Solve the equation so it is in the y=mx+b form.

Step 1. 6x+9y = 216

Step 2. 9y = -6x+216

Step 3. y = -6/9x+24

Step 4. Simplify/Reduce to get y = -2/3x+24

Since it is Parallel then the slope is the same so the slope is -2/3x.

The slope of line parallel to line with equation → 6x + 9y = 216 is

m = -2/3.

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

Given is a line which is parallel to a line whose equation is 6x + 9y = 216.

We know that the general equation of straight line is -

y = mx + c             ... Eq [ 1 ]

where 'm' represents the slope of the line.

The equation of line given -

6x + 9y = 216.

Rearranging it -

9y = - 6x + 216

y = (-6/9)x + (216/9)

y = (-2/3)x + 24              ... Eq [ 2 ]

Comparing Eq[2] with Eq[1], we get -

m = -2/3

Therefore, the slope of the line with equation → 6x + 9y = 216 is -2/3.

Two parallel lines have same slope. Hence, the slope of line parallel to

line with equation → 6x + 9y = 216 is -2/3

Therefore, the slope of line parallel to line with equation →

6x + 9y = 216 is -2/3.

To solve more questions on Straight lines, visit the link below-

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Answer:

C (-6,-8)

good luck buddie

Answer:

(-6, -8)

Step-by-step explanation:

Answer:

164

Step-by-step explanation:

65+65=130

17+17=34

130+34=164

Answer:

You will need 164 feet of fencing.

Step-by-step explanation:

Add up 17+17+65+65 or follow along to the perimeter formula to get your answer of 164 feet.

Answer:

-8m + 3 - 32n

Step-by-step explanation:

Distributive Property

-8m + 3 - 32n

Answer:

107

Step-by-step explanation:

(x - 79)° + (x - 45)° = 90°

2x - 124 = 90

2x = 214

x = 107

Answer:

45 candidates are expected to be rejected

Step-by-step explanation:

Here, we want to calculate the number of candidates to be rejected

The number of candidates to be rejected can be calculated from;

100% - (28% + 12%) = 60%

So 60% of the 75 interviewed are to be rejected

Thus, we have

60/100 * 75

= 45

The number of candidate expected to be rejected is 45 if the 12% of candidates can be selected and 28% of Canada can be put on hold for the next hiring date.

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have:

A walk in interview 12% of Candidates can be selected and 28% of Canada can be put on hold for the next hiring date if 75 candidates are interviewed.

Let's suppose total candidate is 100%

So,

= 100 - (12+28)

= 60%

Number of candidate expected to be rejected:

= 60% of 75

= (60×75)/100

= 45

Thus, the number of candidate expected to be rejected is 45 if the 12% of candidates can be selected and 28% of Canada can be put on hold for the next hiring date.

Learn more about the percentage here:

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Answer:

c = [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to [tex]\frac{1}{2}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (2, c)

m = [tex]\frac{c-4}{2-5}[/tex] = [tex]\frac{c-4}{-3}[/tex] , then

[tex]\frac{c-4}{-3}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2(c - 4) = - 3

2c - 8 = - 3 ( add 8 to both sides )

2c = 5 ( divide both sides by 2 )

c = [tex]\frac{5}{2}[/tex]

Answer:

Step-by-step explanation:

0.5 ×10^5=5/10×10^5=5×10^4=50,000

Answer:

Cherries cost $2.50 per pound

Yes, it is constant.

Weight would go on the x-axis and the cost would go on the y-axis.

The two points are (2, 5) and (3, 7.5)

5 pounds of cherries would cost $12.50. To solve the problem I multiplied the 5 pounds by 2.5, the cost per pound to find the cost.

Step-by-step explanation:

$5 for 2 pounds and $7.50 for 3 pounds can be turned into the points (2, 5) and (3, 7.5).

To find the cost per pound, input the two points into the slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{7.5-5}{3-2}[/tex]

Solve:

7.5 - 5 = 2.5

3 - 2 = 1

[tex]\frac{2.5}{1}[/tex] = 2.5

The cost of cherries per pound is $2.50. This is our slope.

The equation that represents the cost of cherries for x amount of pounds is:

y = 2.5x

To find how much 5 pounds of cherries would cost, replace x with 5 in the equation:

y = 2.5(5)

y = 12.5

5 pounds of cherries would cost $12.50.

I hope this helps :)