!!please help!!
Match each system of equations with the number of solutions the system has. 1. No solutions 2. One solution 3. Infinitely many solutions A. y=-4/3x+4 y=-4/3x-1 B. y=4x-5 y=-2x+7 C. 2x+3y=8 4x+6y=17 D. y=5x-15 y=5(x-3)

The polynomial with the given degree and zeros is:

y = 2*(x + 1)²*(x + 4)

A polynomial of degree N with the zeros {x₁, x₂, ...} and a leading coefficient a can be written as:

y = a*(x - x₁)*(x - x₂)*...*(x - xₙ)

Here we know that the degree is 3, and the zeros are {-1, -4, -1}

Then we can write the polynomial as:

y = a*(x + 1)*(x + 4)*(x + 1)

y = a*(x + 1)²*(x + 4)

We also know that the polynomial passes through (0, 8), replacing these values we will get:

8 = a*(0 + 1)²^*(0 + 4)

8 = a*1*4

8/4 = a

2 = a

The polynomial is:

y = 2*(x + 1)²*(x + 4)

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Applying the AA similarity theorem, the length of DF is: 15 units.

When two angles in one triangle are congruent to the corresponding two angles in another triangle, both are said to be similar to one another. This means that, the corresponding sides of these two triangles would be proportional or have the same ratio.

In the image attached bellow, triangle DEF and triangle DBC are similar to each other because they have two pairs of corresponding angles that are congruent which are:

<DFE ≅ <DCB [right angles are equal]

<EDF ≅ <BDC [reflexive property of congruence]

Therefore, their corresponding sides will have equal ratios such as:

DC/DF = BC/EF

Substitute:

27/DF = 49.5/27.5

Cross multiply:

DF = (27.5 * 27) / 49.5

DF = 15

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A "place value" is just a number containing a decimal point whereby each digit place value equals ten times every place value to its right

In mathematics, every digit in an integer does have a place value.

Thus, a "place value" is just a number containing a decimal point whereby each digit place value equals ten times every place value to its right

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Step-by-step explanation:

a finite decimal number into a fraction is very easy.

remember what the different positions after the decimal point are worth :

tenths, hundredths, thousandths, tenthousandths, hundredthousandths, ...

0.225 covers thousandths.

how many ?

well, 225, of course.

so,

0.225 = 225/1000 = 9/40 × 25/25 = 9/40

The total number of tests graded by them in 180 minutes (3 hours) will be 90 tests.

Sam ,

6 tests in 24 mins

Therefore ,

1 test in 24/6 = 4 mins

hence ,

no of test in 180 mins

= 180/4 = 45

Ben,

5 tests in 20 mins

Therefore ,

1 test in 20/5 = 4 mins

hence ,

no of test in 180 mins

= 180/4 = 45

Therefore at the end of 180 mins

they would have graded 45 + 45 = 90 tests.

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious.

In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers.

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A) The decimal 2.256 in expanded form and word form are respectively;  2 + 0.2 + 0.05 + 0.006;  Two and three hundred fifty six one - thousandths

B) The decimal 24.09 in expanded form  and word form are respectively; 20 + 4 + 0 + 0.09; Twenty four and 9 one - hundredths.

The expanded form used when writing decimals is the mathematical expression that shows the sum of the values of each digit in the given number.

A) We are given the decimal 2.256

Thus, in expanded form, the given decimal can be expressed as;

2 + (2/10) + (5/100) + (6/1000)

= 2 + 0.2 + 0.05 + 0.006

In word form, we can write the decimal as;

Two and three hundred fifty six one - thousandths

B) We are given the decimal 24.09

Thus, in expanded form, the given decimal can be expressed as;

20 + 4 + (0/10) + (9/100)

= 20 + 4 + 0 + 0.09

In word form, we can write the decimal as;

Twenty four and 9 one - hundredths.

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Answer: let d=# of dimes

let n= # of nickels

n+d=11

5n+10d=80

5d+25

5 dimes and 6 nickels

The correct option 1. the slope of Equation A is steeper because 4/5 is bigger than 2/5.

The format of a linear function is as follows:

y = ax + b

That where:

Given by: Linear equation A

y = 4/5 x.

Points (0, 2) and pass through linear equation B. (5, 4).

Given that changes in y divided by change in x determines the slope between two points, we have that:

m = (4 - 2)/(5 - 0)

m = 2/5

Equation A is steeper as it contains a higher slope, so the appropriate response is:

Due to the fact that 4/5 is greater than 2/5, Equation A has a steeper slope.

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The complete question is-

Linear equation A: y=45x

Linear equation B is represented by this graph.

A line that passes through points (0, 2) and (5, 4).

Which statement is entirely correct?

Maximum number of distinct majors/groups: 84 therefore, the 85th student must be the same as one of the 84 students.

Date of anticipated graduation: May 15, 2020, or Spring 2020 for graduation (expected). Instead of expected or anticipated, you can use the word pending if you're presently working to finish your final semester.

Employers may be able to see that you are actively pursuing your degree even though you haven't graduated by seeing your anticipated graduation date on your resume.

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Answer:  He needs 9 days to complete all his overdue assignments and if this is happening to you sry I feel your pain. Just vibing to k-pop while having a mental breakdown doesn't sound bad until you feel it :(

Step-by-step explanation:

Well, he has 36 overdue assignments, and if he completes 4 overdue assignments each day you need 9 days to complete all his overdue assignments.

36 divide 4 = 9 days

Answer:

please tell us what you need help with

Step-by-step explanation:

you did not include a number

Answer: what

Step-by-step explanation:

 - x =< y is the expression and acceptable syntax.

A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases.

A term may be a number, a variable, a product of two or more variables, or a combination of both. A single phrase or a set of terms can make up an algebraic expression. The two terms in the formula 4x + y, for instance, are 4x and y.

Algebra's associative, commutative, and distributive characteristics are the ones that are most frequently utilized to make algebraic expressions simpler.

The converse of the expression and having proper syntax is

   = x >= y.

   = -x <= y

    =- x =< y

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The relationship between the variables in terms of direction form and strength.

Given :

the relationship of between the variables in terms of direction ( positive or negative slope ) , form (a straight line or a curve), and strength.

The straight line form with variables is :

y = mx + b is a straight line equation

here x and y are variables

m = slope

b = y - intercept

example :

y = 3x + 3

m = + 3 is a positive slope

y = -2x + 4

here

m = - 2 is a negative slope

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Answer: 11.5 maybe ? {sorry if its wrong]

Step-by-step explanation:

The population proportion of red automobiles in the United States exists 22 %.

An analysis of two numbers in terms of their proportion. A ratio is said to be directly proportional to another if two sets of given numbers are increasing or decreasing in the same ratio.

The proportion of red automobiles in the United States(P) is given by:

P = [Number of red automobiles / Number of automobiles in US ]× 100

According to the table

Number of red automobiles = 32 + 29 + 23

Number of red automobiles = 84

Number of automobiles

= 32 + 29 + 23 + 18 + 36 + 25 + 4 + 17 + 11 + 25 + 26 + 39 + 10 + 46 + 33

Number of  automobiles = 374

put the values into the equation

P = [Number of red automobiles / Number of automobiles in US ] × 100

substitute the values in the above equation, we get

P = [84 Cars / 374 Cars] × 100

simplifying the above equation, we get

Proportional = 0.2245 × 100

Proportional = 22.45

Proportional = 22 percentage

Therefore, the correct answer is option D. 22 %.

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If we substitute a = 5 into the equation 3a = 15, we get b = 15.

Therefore, a = 5 and b = 15.

We are given that b is 3 times older than a, so b = 3a.

We are also told that in 5 years b will be 2 times older than a, so b = 2(a + 5).

We can set 3a = 2(a + 5) and solve for a.

3a = 2a + 10

2a = 10

a = 5

Therefore, a = 5 and b = 3a = 15.

We know that today, b is 3 times older than a. This means that b = 3a. We can use this equation to help us solve the problem.

We know that in 5 years' time, b will be 2 times older than a. This means that in 5 years, b = 2(a + 5). We can use this equation to help us solve for a and b.

We can set the two equations equal to each other, 3a = 2(a + 5). We can then solve for a, which gives us a = 5.

We can then substitute this value into either of the equations to find the value of b. If we substitute a = 5 into the equation 3a = 15, we get b = 15.

Therefore, a = 5 and b = 15.

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Answer:

where is your circle graph

Step-by-step explanation:

i need the graph in order to solve this

A system of equations that determines the number of adult tickets and the number of senior citizen tickets that Beth purchased is x + y = 16

8x + 5y = 120.

What is a system of an equation?

A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one with two equations and two variables. Linear equations (those that graph as straight lines) are easier to understand than non-linear ones.

Here, we have

Given: Beth bought 16 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $5.00. She spent a total of $120.

We let adult tickets be x and

let senior citizens' tickets be y.

x + y = 16....(1)

8x + 5y = 120...(2)

From equation(1)

x = 16 - y

we put the value of x in equation(2) and we get

= 8(16 - y) + 5y = 120

= 128 - 8y + 5y = 120

= 3y = 8

y = 8/3

Now, we put the value of y in equation(1) and we get

x = 16-8/3

x = 40/3

Hence, a system of equations that determines the number of adult tickets and the number of senior citizen tickets that Beth purchased is x + y = 16

8x + 5y = 120.

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Answer:

B

Step-by-step explanation:

Answer:

karen will have enough for 14 people, and she will have 3 extra ducks left over

Step-by-step explanation:

divide 423 by 30

423/30 = 14

14 times 30 is 420, so subtract 420 from the total number of rubber ducks

423 - 420 = 3

so, karen will have enough for 14 people and 3 ducks will be left over !!

Answer:

Karen we'll have enough for 14 people and have 3 ducks left over.

it takes 2.25 seconds

oh, and it's 18 seconds for the next question assuming we had the same test.

The monthly installment is $ 77.5. We have to divide the annual rate by 12 to find monthly installments.The number of equated monthly installment is equal to the number of month in the repayment tenure.

What is finance purchase charges?

A purchase finance charge is a fee applied to purchase  a credit account like a credit card .This typically takes the form of an interest charge, although some accounts have may other terms.

The installment is generally in equal month payments that include interest and portion of the principle.We schedule to be created by the lender detailing payment throughout the loan duration.

By solving :

1230=300+12 x

1230-300=12 x

x= $ 77.5 monthly payment

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The percent decrease in the number of people who went to the pool over these four weeks is 30%.

From the information given, in the the first week of July, a record 1060 people went to the local swimming pool. In the second week, 100 fewer people went to the pool than in the first week. In the third week, 130 more people went to the pool than in the second week. In the fourth week, 348 fewer people went to the pool than in the third week

The total number of people at the end of the week will be:

= 1060 - 100 + 130 - 348

= 742

The percentage decrease will be:

Decrease / Original value × 100

= (1060 - 742) / 1060 × 100

= 30%

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Answer:  [tex]\textsf{\$1583.9 per day}[/tex]

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Given:  [tex]\textsf{The table with the information}[/tex]

Find:  [tex]\textsf{The average daily balance of Elliott's account for the month of June}[/tex]

Solution: In order to get the average daily balance, we need to use a formula where we have a weighted balance for each day.  For example, out of the 30 days in June, 9 of the days there was $1223 in the account, for 5 days there was $1223 + $615 in the account, for 7 days there was $1223 + $615 - $63 in the account, and for the last 9 days there was $1223 + $615 - $63 - $120 in the account.  This all happened over 30 days and to translate this to an equation it will look something like the following.

Convert to equation and simplify

Therefore, the final answer would be that the average daily balance of Elliott's account for the month of June would be $1583.9 per day.

Therefore the value of the z score comes out to be Z = 1.1261

Simply expressed, a z-score (sometimes called a standard score) gives you a sense of how distant from the mean a data point is. Technically, however, it's a calculation of how far a raw score deviates from or exceeds the population mean.

The range of Z-scores ranges from -3 standard deviations (which would be on the far left of the normal distribution curve) to +3 standard deviation. The mean and population standard deviation must be known in order to use a z-score.

Here,

In a World Atlas study, 10% of people have blue eye color. Lane decided to observe 44 people and she concluded 7 people had blue eyes. Calculating the z-score

Given that :

Sample size (n) = 44

Number of people with blue eyes (x) = 7

Proportion (p) = 10% = 0.1

Using the relation :

Z = (p" - p) / [tex]\sqrt{\frac{pq}{n} }[/tex]

Since : q = 1 - p = 1 - 0.1 = 0.9

p" = x / n = 7/ 44

p"= 0.15909

pq = 0.1 * 0.9 = 0.09

Hence,

Z = (0.15909- 0.1) / [tex]\sqrt{\frac{0.09}{44} }[/tex]

Z = 0.0509 / 0.0452

Z = 1.1261

Therefore the value of the z score comes out to be

Z = 1.1261

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The value of the function h(x) = -3(x - 1) + 4 when x is -5 is 19.

It is important to note that a function is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this situation, the function is given a :

h(x) = -3(x - 1) + 4

When x = -5. This will be:

h(-5) = -3(-5 - 1) + 4

= -3(-6) + 1

= 18 + 1

= 19

The value is 19.

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Answer:

112/1000

Step-by-step explanation:

Just put 1 under decimal point and just add as many zeros as digits after that

The linear equation that represents the total cost of the gas will be y = 15.7x.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The cost of two gallons of gas is $31.40. Then the rate (slope) is given as,

m = $31.40 / 2

m = $15.7 for each gallon

Let 'x' be the number of gallons of gas and 'y' be the total cost. Then the equation is given as,

y = 15.7x

The linear equation that represents the total cost of the gas will be y = 15.7x.

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