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Question:

Solution:

x-intercept:

the x-intercept is when y= 0. Thus replacing this value into the given equation we get:

this is equivalent to:

this is equivalent to:

solving for x, we get:

so the point of x-interception is :

y-intercept:

the y-intercept is when x= 0. Thus replacing this value into the given equation we get:

this is equivalent to:

this is equivalent to:

solving for y, we get:

so the point of y-interception is :

We can conclude that the correct answer is:

x-intercept :

y-intercept is :

Explanation

solve for y :

The subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same

hence,

subtract 8 in both sides

so, the answer is

y=-6

I hope this helps you

The values of measure of angle y is found as 65 degrees.

For the given question;

Line k || Line l

(x + 5) + (3x + 15) = 180  (linear pair)

Solving;

4x + 20 = 180

4x = 160

x = 40

Put the value of x in angles (2x + 30)

2x + 30 = 2×40 + 30 = 110

Now,

2x + 30 = y + (x + 5)   (alternate interior angles)

Solving;

110 = y + 40 + 5

y = 110 - 45

y = 65 degrees.

Thus, the values of measure of angle y is found as 65 degrees.

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Answer:

d

Step-by-step explanation:

The number of years must be non-negative.

This eliminates all of the options except for d.

Answer:

The weight of 6th-grade students

Explanation:

We have variability if each value in the data is different.

When a vehicle travels at a constant rate for the same amount of time, the distance covered will be always the same. So, this situation doesn't yield data with variability.

In the same way, the length of a professional American football field and the moon cycle duration in a year are standard, they always have the same value so these situations don't yield data with variability.

Finally, each student of 6th grade has a different weight, so this is the situation that yields data with variability.

Therefore, the answer is:

The weight of 6th-grade students

The of senior high school students who reported consuming alcohol  is mathematically given as

33.99% of

This is further explained below.

Absolute change is the straightforward difference between the indicator's two time periods.

Absolute change = final value - initial value

Absolute change =(33 *1-50.3)% points

=-17.2% points

Decrease absolute change $=17.2% point

- ve hours decreased

+ve shows increased

The percentage of high school seniors using alcohol decreased by 17.2%. point

Relative change expresses absolute change as the ax of the value in the initial period

[tex]$=\frac{\text { absolute change }}{\text { intial value }} \times 100$$=\frac{33.1-50.3}{50.3} \times 100$[/tex]

=-33.99 %

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The sequence is given as,

For the given sequence,

nth term of a geometric progression is given as,

Where,

a = First term

r = common ratio

Therefore the nth term is calculated as,

Thus the required answer is,

Answer:

p(blue and green)

Step-by-step explanation:

the events are independent because p(blue) p(green)=p(blue and green).

The received trade discount amount is $600 and percentage is 42.25%.

The trade discount in amount is = Original price - New price

Keep the values in formula to find the trade discount

The trade discount in amount is = 1420 - 820

Performing subtraction on Right Hand Side of the equation

The trade discount amount is = $600

Finding the trade discount in percentage

Trade discount in percentage = discount ÷ original price × 100

Keep the values in formula to find the trade discount in percentage

Trade discount in percentage = (600/1420)× 100

Performing multiplication and division

Trade discount in percentage = 42.25%

The trade discount is $600 and 42.25%.

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Answer:

  12.  65:6 = 65/6 = 65 to 6

  13: 21:4 = 21/4 = 21 to 4

Step-by-step explanation:

You want the numerical values of the given ratios of blood donors written three ways.

In each case, replace the blood type with the corresponding number of donors. Ratios can be written using a colon, a division bar, or the word "to".

Using the numbers, this is ...

  (45 +20) : 6 = 65 : 6 = 65/6 = 65 to 6

Using the numbers, this is ...

  (21 +0) : 4 = 21 : 4 = 21/4 = 21 to 4

The formula for a final amount A by depositing a regular amount R each month for n years with a interest rate r is given by:

For A = $700,000, r = 0.05, n = 30, we have:

Condensation of left-hand side of the given expression into a single logarithm is :log(4) + log(2) + log(y) = log(8y)

To evaluate logarithmic expressions, methods for condensing logarithms in order to rewrite multiple logarithmic terms into one can be used. it is a useful tool for the simplification of logarithmic terms. To condense logarithms we use the rules of logarithms: the product rule, the quotient rule and the power rule.

According to the product laws of logarithm,

log x+log y = log (xy)

For the given expression,

log(4) + log(2) + log(y) = log(____)

So, after applying the product rule:

log(4) + log(2) + log(y) = log(4×2×y)

log(4) + log(2) + log(y) = log(8y)

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Solution

The z-score, also referred to as standard score, z-value, and normal score, among other things, is a dimensionless quantity that is used to indicate the signed, fractional, number of standard deviations by which an event is above the mean value being measured. Values above the mean have positive z-scores, while values below the mean have negative z-scores.

Mean is $650

Standard deviation = $50

Therefore the estimated percent of apartment residents = 81.86%

Answer:

Step-by-step explanation:

h = number of hours

s = number of shirts made

28h+2s=144

4h=s

h=4, s=16

(Didn't I already answer this? i think i might have.. lol)

The breakevenpoint is the point at which costs and sales are equal to each other and therefore, the profit is zero.

The breakeven point in terms of number of units sold can be determined as follows;

In order to breakeven, the company will have to sell 44,000 units

Relation 1: No, the inputs of desk and leaf each correspond to two different outputs.

Relation 2: No, the input of 7 corresponds to three different outputs.

Relation 3: Yes, each input corresponds to only one output.

Relation 4: No, the input of -7 corresponds to two different outputs: a and h.

1 Fristly you do M1=M2 as it is parallel

You get M2 then use it to find equation

note that y= -1.5

2 for second question you find coefficient of X and y you get M1 then find equation of given line easily.

#note equaction of straight line passing through two points is y-y1=m(x-x1)

At x=3 to x=7, the average rate of change of the given function

f(x) = x2- 4x + 1 is 6.

Given function,

    f(x) = x² - 4x + 1

given x=3 and x=7

To find the average rate of change of a function, find its slope(m),

To find m ,

               m= (y2 - y1) / (x2 - x1)

here y1 and y2 not given.

then substitute the given values of x into f. (x)

when x=3 ,

          y1 = (3² - 4×3 +1)

              = (9 - 12 +1)

              =  -2

so (x1,y1) = (3,-2)

similarly to find y2,

substitute x = 7 to f(x)

            y2 = (7² - 4×7 + 1)

                 = (49 - 28 +1)

                 = 22

so (x2,y2) = (7,22)

To find m, substitute the values.

  m= (y2 - y1) / (x2 - x1)

            = (22 -( - 2)) / (7 - 3)

           = 24/4

           = 6

As a result, the average rate of change of the function x2-4x + 1 is 6.

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Your grandmother was in the hospital and was put on a liquid diet. The approximate weight of grama in pounds is 1100 pounds

This is further explained below.

Generally, Simply rephrasing the query as "what is the equivalent of 500 kg in Pounds" will accomplish the same thing.

In order to do this, we need to know how many kilograms are in one pound: It weighs something about 2.2 pounds.

Therefore, one hundred and ten kilograms is equal to five hundred and two point two pounds (and a little more since one kg is a little more than 2.2 pounds).

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Solution

Secant is a line that touches a circle at two distinct points

See figure below

Chord is a straight line that touches two points on the the circumference of the circle

A

The features of the given parabola are as follows:

a) Vertex: (3,9).

b) Vertical intercept: y = -9.

c) x-intercepts: (-5.12, 0) and (-0.88, 0).

The equation of the parabola is given by:

f(x) = -2x² - 12x - 9.

Hence the coefficients are:

a = -2, b = -12, c = -9.

The formula for the coordinates of the vertex, considering the coefficients of a quadratic equation, is given as follows:

The coordinates of the vertex are given as follows:

[tex]x_v = -\frac{-12}{2(-4)} = -3[/tex]

[tex]y_v = -\frac{(-12)^2 - 4(-2)(-9)}{4(-2)} = 9[/tex]

Hence (3,9).

The vertical intercept is given as follows:

f(0) = -2(0)² - 12(0) - 9 = -9.

The roots are given as follows:

Hence the points are:

(-5.12, 0) and (-0.88, 0).

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In order to calculate the expected value of x, we just need to divide the total number of lemon-flavored candies by the total number of bags, so we have:

So the expected value of x is 126.68.

Answer:

10/3

Step-by-step explanation:

[tex]1\frac{5}{6} = \frac{11}{6}\\ \\\ 1\frac{3}{6} = \frac{9}{6}[/tex]

11/6 + 9/6 = 10/3 =3.333333333

Answer:

55.17

Step-by-step explanation:

[tex]P(0)=0.023(0)^3-0.289(0)^2+3.068(0)+55.170=55.17[/tex]

The distance by which Mika will be ahead is equal to 36 m from present location.

According to the question Gretchen and Mika are at the same point when Gretchen runs backward at the speed of 4 m/s in opposite direction to pick her baton and Mika runs in the direction of the race at the speed of 3 m/s. We need to find the distance covered by Mika form the current location in the time when Gretchen picks her baton up. Let us assume that the time taken by Gretchen to pick up her baton be equal to t. It is given that 48 meters from her current location she dropped her baton. Since she is running at the speed of 4 m/s then the time will be equal to t = 48/4 = 12 seconds. Now, Gretchen will be able to pick up the baton in 12 seconds. Thus, the distance covered by Mika in 12 seconds will be equal to 3×12 = 36m.

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Complete Question:

Gretchen and Mika are involved in a relay race. Both runners are at the same point on the course when Gretchen realizes that she dropped her baton and has to turn around to retrieve it. Gretchen runs backwards at a speed of −4 m/s, relative to the direction of the race. Mika continues running at a speed of 3 m/s. If Gretchen dropped her baton −48 meters from her current location, relative to the direction of the race, how far ahead will Mika be when Gretchen picks her baton up?

Answer:

[tex]y-2=\dfrac{1}{2}(x-6)[/tex]

Step-by-step explanation:

To find the equation of a line that passes through two given points, first find its slope by substituting the given points into the slope formula.

[tex]\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}[/tex]

Define the points:

Substitute the points into the slope formula:

[tex]\implies m=\dfrac{4-2}{10-6}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

Therefore, the slope of the line is ¹/₂.

[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]

To find the equation in point-slope form, substitute the found slope and one of the given points into the point-slope formula:

[tex]\implies y-2=\dfrac{1}{2}(x-6)[/tex]

From the information given, the original costs per month were

Cell phone service $34.15

Landline phone service = $31.36

Cable TV service = $56.25

Internet service = 41.48

The total cost per month would be

34.15 + 31.36 + 56.25 + 41.48 = 163.24

For the new company that they found, the total cost is $1431

The number of tens between the given numbers are 1883.

The number of tens between two numbers can be calculated by the concept of proportions. A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem. Now, to find the number of tens we divide the number by 10. So, the number of tens in the given numbers are

9312/10 = 931 (approximately)

9522/10 = 952 (approximately).

Now, the numbers of tens between the two given numbers can be calculated by adding the number of tens in them that is,

952 + 931 = 1883 tens between the two numbers.

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