How many solutions
y = –5x − 2
y=2/3x - 8/3

Answer:

it is a many to one function

Answer:

Your heart rate is 1.1 beats per second. Your friend's heart rate is 1.2 beats per second. Yes, the rates have the same rate (bps).

Step-by-step explanation:

Your heartbeat = 22:20 (can  be reduced to 11:10) or 22/20 = 1.1 bps

Friend's heartbeat = 18:15 (can be reduced to 6:5) or 18/15= 1.2 bps

Therefore , the solution of the given problem of function comes out to be g(x) = ƒ(2x + 3) = f'(-5) = 1.

Mathematics includes the study of numbers, various variations, the natural reality, architecture, and both actual and hypothetical locations. A function is a visual representation of the relationship variable between the number of inputs and the corresponding outputs for each. Simply explained, a function is a collection of inputs that, whenever combined, result in a different output by each input. Every function is assigned a city, county, or scope, sometimes known as a domain. The letter f is frequently used to denote functions (x).

Here,

Given :

=> f(−4) = −2

=> ƒ'(−4) = 6

=> f(-5) = −4

=> f'(-5) = 1

To find :

=> g(x) = ƒ(2x + 3)

=> g(4) = f(2(-4) + 3)

=> g(4) = f(-5)

=> f(-5) = -4

=> f'(-5) = 1

Therefore , the solution of the given problem of function comes out to be g(x) = ƒ(2x + 3) = f'(-5) = 1.

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Answer:

let carols present age be x

and its age after 20years be x+20

and which is equal to three time of its present age = 3x

Step-by-step explanation:

so,

20+x= 3x

20= 3x -x

20=2x

20/2=x

10=x

I hope it is helpful

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

Answer:B

Step-by-step explanation:

Since both equations are equal to y, we can set -2x-1=(1/2)x+4.

\(-4x-2=x+8\\-5x-2=8\\-5x=10\\x=-2\\y=-2(-2)-1=3\)

This is point  B

Answer:

9 inches

Step-by-step explanation:

Area of rectangle= length ×width

Let the length of the rectangle be x inches.

Width of rectangle= (x +2) inches

since the width is 2 more than the length.

63= x(x+2)

63= x(x) +2x

Bringing constant to one side,

x² +2x -63= 0

(x +9)(x-7) = 0 (factorise)

x+9= 0 or x-7= 0

x= -9 or x= 7

(reject)

width of rectangle

= 7+2

= 9 inches

*We reject x= -9 since the length of the rectangle cannot be a negative number.

the equivalent expression is 7^(4)/3^(10), so the correct option is A.

We want to find the expression equivalent to the quantity seven raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power

This is:

(7^(-2)*3^5)^(-2)

Remember that:

(a^n)^m = a^(n*m)

Then, using that property, we can rewrite:

(7^(-2)*3^5)^(-2) = 7^(-2*-2)*3^(5*-2) = 7^(4)*3^(-10)

And it can be rewritten to:

7^(4)*3^(-10) = 7^(4)/3^(10)

That is the equivalent expression.

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The probability that the team will win more than 9 games this season, given the average number of wins for the team, is 4 %

The Z-score formula is:

Z = (x - mean) / standard deviation

Where x is the number of wins we're interested in (9), mean is the average number of wins (7.6), and standard deviation is the standard deviation of the number of wins (1.3)

Z = (9 - 7.6) / 1.3

= 2.3 / 1.3

= 1.77

This means that 9 wins is 1.77 standard deviations above the mean. The result is the probability of a team winning more than 9 games this season, which is around 0.04 or 4% from the standard normal distribution table.

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The domain of the given function would be -

- 5 ≤ x < 3.

An function in mathematics defines a relationship between one variable (the independent variable {x})  and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.

Given is the graph of the linear equation as shown in the image.

Domain represents the set of values along the {x} - axis.

So, we can write -

- 5 ≤ x < 3

Therefore, the domain of the given function would be -

- 5 ≤ x < 3.

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The arithmetic sequence's fifth term is therefore 84.

An arithmetic sequence's nth term is determined by a = a + (n - 1)d. So, enter the values a = 2 and d = 3 into the formula to determine the nth term.

The formula to determine the nth term of an arithmetic series is a = a1 + (n - 1)d if a1 is the first term and d is the common difference.

In the mathematical sequence, 84 is the fifth term.

The process for calculating value

An arithmetic sequence's nth term can be calculated using the following formula:

Tn = a + (n -1)d

Where;

First term is a.

N words are present.

d is the typical difference

We must substitute nas 5's value in order to find the fifth term.

T5 = 4 + (5-1) 20

T5 = 4 + 4(20) (20)

the bracket be expanded

T5 = 4 + 80

T5 = 84

The arithmetic sequence's fifth term is therefore 84.

The complete question is,

4 is the initial term and 20 is the constant difference in an arithmetic series. Discover the sequence's sixth phrase.

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Answer:

true

Step-by-step explanation:

Answer:

1/12 of a dozen is 1

Step-by-step explanation:

One dozen means 12. If you ask for 1/12 of 12, you multiply 12 and 1/12. You should get 1 as your answer.

Answer:There's 1000 grams in a kilogram thus in this case it ought to be less than 5 kg.

Step-by-step explanation:

Answer:

2g-2

.....................

Answer

2g -2

Step-by-step explanation:

The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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Answer:

Pentagonal Pyrimid

Step-by-step explanation:

Answer:

1/5 is bigger than 1/8

Step-by-step explanation:

First put them as decimals

1/5 = 0.2

1/8 = 0.125

0.2 > 0.125

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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To find the range of a data set from a box and whisker plot, you can use the whiskers of the plot. The whiskers represent the minimum and maximum values of the data set, so the range can be calculated by subtracting the minimum value from the maximum value.

A whisker plot, also known as a box and whisker plot, is a graphical representation of the distribution of a set of data. It displays a summary of the minimum, maximum, median, and quartiles of the data set.

A typical whisker plot consists of a rectangular box with a vertical line inside, which represents the median of the data set. The lower and upper edges of the box represent the first and third quartiles, respectively. The length of the box thus represents the interquartile range (IQR), which is a measure of the spread of the middle 50% of the data.

In statistics, the range of a data set can be found from a box and whisker plot by looking at the endpoints of the whiskers.

The whiskers in a box and whisker plot extend from the box to the smallest and largest data points within a certain range of the median. The range of the data set is simply the difference between the smallest and largest data points.

To find the range of the data set from a box and whisker plot, simply identify the endpoints of the whiskers and find the difference between them. Note that the whiskers may be labeled with the actual values of the data points or labeled with a multiple of the interquartile range (IQR), which is the distance between the first and third quartiles of the data set.

It's worth noting that the range is a very basic measure of the spread or dispersion of a data set and is sensitive to outliers. Other measures of spread, such as the interquartile range, variance, or standard deviation, may provide more robust and informative summaries of the data.

Hence, the method to plot whiskers in a data range is provided.

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The value of x in the triangle is 10

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.

The sum of the three angles in a triangle is 180°.

Therefore

(5x - 5)° + 8x + (6x - 5) =180

5x-5+8x+6x-5 = 180

collect like terms

5x+8x+6x-5-5 = 180

19x = 180+10

19x = 190

divide both sides by 19

x = 190/19

x= 10

therefore the value of x is 10

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The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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(5x)2 * (2x)2

10x * 4x

40x^2

Interest earned on first investment in year 1 is $6,183.13

Interest earned on second  investment in year 1 is $6,167.68

Annual yield on first investment is 6.18%

Annual yield on second investment is 6.17%

What is daily compounding?

Daily compounding means that the interest on the investment is computed on daily basis, 365 days a year.

In a bid to determine the total interest earned in one year on the investment whose interest is compounded daily, we can make use of the future value below to determine its worth after 1 year, from which the initial investment can be deducted to determine the interest in year 1.

FV=PV*(1+r/n)^(n*t)

PV=initial investment=$100,000

r=rate of return=6%

n=365 days a year

t=1 year

FV=$100,000*(1+6%/365)^(365*1)

FV=$106,183.13

Interest=$106,183.13 -$100,000

interest=$6,183.13

Annual yield=effective annual interest

EAR=(1+6%/365)^(365)-1

EAR=6.18%

What is monthly compounding?

It means interest is compounded or computed every month, 12 months a year

FV=PV*(1+r/n)^(n*t)

PV=initial investment=$100,000

r=rate of return=6%

n=12 months a year

t=1 year

FV=$100,000*(1+6%/12)^(12*1)

FV=$ 106,167.78  

Interest=$ 106,167.78  -$100,000

interest=$6,167.68

Annual yield=effective annual interest

EAR=(1+6%/12)^(12)-1

EAR=6.17%

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Answer:

Step-by-step explanation:

The perimeter of the wire picture frame will be 62.8 inches.

What is the circumference of a circle?

Let d be the radius of the circle.

The circumference of the circle will be

C = 2πr units

Kiran bent some wire around a rectangle to make a picture frame. The rectangle is 8 inches by 10 inches.

From the figure, the radius of each semi-circle is 1 inch.

The number of the semi-circle is 14 and the number of the three-fourth circle is 4. Then the perimeter of the wire will be

I HOPE THIS IS FINE!!!!