A line that includes the point (3,10) has a slope of 4. What is its equation in slope intercept form?

[tex]4a^{2} -25=0\\(2a-5)(2a+5)=0\\2a-5=0 \\or 2a+5=0\\\\a=\frac{5}{2} \\\\or\\\\a=-\frac{5}{2}[/tex]

IF YOU CHECK CAREFULLY YOU WILL FIND THAT THIS EQAUTION IS MADE OF DIFFERENCE OF SQUARES.

GOODLUCK!!

Answer:

the answer for your question is option A

Answer:b

Step-by-step explanation:

Here is the graph for you!!

Answer:

48 push ups

Step-by-step explanation:

40 push ups in 5 days can be modelled with the fraction 40/5

you can simplify that to 8/1 after dividing both sides by 5

now set that equal to push ups over 6

but first you must declare a variable for push ups

let x = push ups

8/1 = x/6

multiply both sides by 6

48/1 = x

x = 48

that is your answer

48 push ups

To know how many reflections are made per day, a division is made between the days and the total number of reflections.

40 Flexions ➗ 5 days = 8 flexions a day.

Every day it has 8 flexions, in multiply the 6 days for the 8 flexions of each, then.

8 flexions (1 day) ✖ 6 days = 48 flexions.

Answer: 48 flexions = 6 days ✅.

Answer:

2a + b = 180
 a + b = 118

a = 64, b = 56

Step-by-step explanation:

If you look at the triangle on the top right of the diagonal, there are 3 angles a, a and b. Since the 3 angles of a triangle add up to 180°

      a + a + b = 180

=>   2a + b = 180.......(1)

We are given that the largest angle is 118°

The largest angle of the parallelogram is a + b. Remember that opposite angles of a parallelogram are equal and the sum of the angles add up to 360

Therefore a + b = 118 ....(2)

Given equations (1) and (2), subtract (1) from (2):

Eq (1) - Eq(2) :

2a + b - (a + b) = 180 - 118

a = 62

Substitute for a in equation (2) to get

a + b = 118

62 + b = 118

b = 118 - 62 = 56

So the two angles are a = 64° and b = 56°

Answer:

a = 62, b = 56

Step-by-step explanation:

given the largest angle is 118° , then

a + b = 118 ( subtract b from both sides )

a = 118 - b → (1)

the sum of the interior angles of a quadrilateral = 360°

the angle adjacent to a is b ( alternate angles ) , then

a + b + a + a + b + a = 360

4a + 2b = 360 → (2)

substitute a = 118 - b into (2)

4(118 - b) + 2b = 360

472 - 4b + 2b = 360

472 - 2b = 360 ( subtract 472 from both sides )

- 2b = - 112 ( divide both sides by - 2 )

b = 56

substitute b = 56 into (1)

a = 118 - 56 = 62

a = 62 and b = 56

Answer:

23,180 pieces

Explanation:

The number of white paper used = 13,480 pieces

Since they used 7,880 fewer pieces of blue paper than white paper

The number of blue paper used = 13,480 - 7880 =5,600 pieces

They also used 1,500 fewer pieces of yellow paper than blue paper.

The number of yellow paper used = 5,600-1500 =4100 pieces

Therefore. the total number of pieces of paper

=13,480 + 5,600 + 4100

=23,180 pieces

The balance of the checks and cash (receipts and payments) is -$245.90.

The balance is the difference between receipts of cash and payments of checks and cash.

Using addition and subtraction operations, the balance is determined as follows:

32.96

121.03

24.70

Total checks = $178.69

22 one dollar bills = $22.00 (22 x $1)

5 ten dollar bills       $50.00 (5 x $10)

15.21 in coins              $15.21

Total cash payments = $87.21

$20 cash received

Total cash = $67.21

Balance   = -$245.90 [$20 - ($87.21 + $178.69)]

Thus, the balance of the checks and cash totals -$245.90, showing that payments outstripped receipts.

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How much is the balance between receipts and payments?

Answer:

C (4,5)

Step-by-step explanation:

See the attached image.

-83843/21 is the partial fraction of Four thousand three hundred fifty seven divided by twenty one minus four thousand two hundred.

Two or more expressions with an Equal sign is called as Equation.

Four thousand three hundred fifty seven divided by twenty one minus four thousand two hundred.

4357/21 - 4200

Take LCM as 21.

4357-88200/21

-83843/21

=-3992.5

Hence -83843/21 is the partial fraction of Four thousand three hundred fifty seven divided by twenty one minus four thousand two hundred.

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predicted value of the slope , A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable.

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.

A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable. Both variables ought to have numerical values.

When the parameters are linear, a regression equation (or function) is said to be linear in statistics. Although the predictor variables can be transformed in ways that result in curvature, the equation must be linear in the parameters.

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in linear regression, the fitted value is the:  predicted value of the dependent variable

When you enter the values of the predictors, factor levels, and other inputs into a statistical model, the predicted mean response value is known as the fitted value.

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259 pieces of candy can be distributed in 80 bags to give 3 candy per bag and there will be 19 candies remaining

The concept for distributing the required candies is achieved by the mathematical operation called division.

Division is an inverse of multiplication. With division we can share and determine number of candy per bag

The question is solved by

= 259 ÷ 80

= 259 / 80

= 3 19/80

This means that there will be 3 candies per bag and after sharing among the nags there will be 19 candies remaining.

Putting this in decimal gives

= 3.2375 ≅ 3.24

In a situation where we are to count the candies if they are 3.25 pieces per bag the we multiply as follows

= 3.25 * 80

= 260

in this case the total number of candies should be 260

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Answer:

an=7/2

Step-by-step explanation:

an=a(n-1)+15

given a1=8

multiply; a(n-1)

a(n-1)=an-a1

enter an-a1 in the equation

an=an-8+15

an=an+7

collect like terms;

an-an=(-7)

divide by negative both side

an-an/(-)=(-(-7)

2an=7

divide by 2 both side

2an/2=7/2

therefore the answer is an=7/2

Answer:

$8 an hour and also requires a 40-hour week

Step-by-step explanation:

Answer:

  73 : 27

Step-by-step explanation:

You want the ratio of students that have a pet to students that don't have a pet, given that 73% of students have a pet.

If 73% of students have a pet, then the remaining 100% -73% = 27% of students do not have a pet.

The ratio of students who have a pet to students who don't have a pet is then ...

  (have a pet) : (don't have a pet) = 73% : 27% = 73 : 27

According to a recent survey, 73% of elementary school students have a pet, making the ratio of students with pets to those without pets 73:27.

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

You want the ratio of students that have a pet to students that don't have a pet, given that 73% of students have a pet.

If 73% of students have a pet, then the remaining 100% -73% = 27% of students do not have a pet.

The ratio of students who have a pet to students who don't have a pet is then,(have a pet) : (don't have a pet) = 73% : 27% = 73 : 27

A recent survey found that 73% of elementary school students own a pet, making the proportion of students who own pets to those who don't stand at 73:27.

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The value of the function f(−2/3) will give the value 8/3.

A function is important to show the expression that's given.

Given: f(x) = 3x^2 −5x−2.

To find f(-2/3), we substitute x = -2/3  into the equation:

f(-2/3) = 3 x (-2/3)^2  - 5(-2/3) - 2

         = 3 x 4/9 + 10/3 -2

         = 12/9 + 10/3 - 2

         = (12 + 30 - 18) / 9

         = 24 /9

        = 8/3

Therefore, f(-2/3) evaluates to 8/3.

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Answer:1700

Step-by-step explanation:

Cyphon, this is the solution:

We have to multiply the following fractions:

7/12 * 4/3

7 * 4 / 12 * 3

28/36

Simplifying, we have:

7/9 (Dividing by 4 numerator and denominator)

We have to add the following fractions:

- 1/2 + 4/9

Let's find the lowest common denominator between 2 and 9, as follows:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

9, 18, 27, 36

The lowest common denominator is 18

The equations that have No solution are2t + 1 = 1 + 2t ,  2t + 1 = 2t and  2(t+1) = 2t + 1 , the correct options are (a) , (b) and (c) .

In the question ,

equations are given ,

we have to find which equation have NO Solution .

So,

(a) First equation is given as

2t + 1 = 1 + 2t

On rewriting the terms , we get

2t - 2t = 1 - 1

0 = 1-1 ,

we cannot find the solution of x .

hence this equation has No solution .

(b) equation is

2t + 1 = 2t

On rewriting the terms , we get

2t -2t = -1

0 = -1

hence ,this equation have No Solution .

(c) equation is 2(t+1) = 2t + 1

2t + 2 = 2t + 1

2t - 2t = 1 - 2

0 = -1

hence , this equation have No Solution .

(d) equation is 2t+t=2t+1

3t = 2t + 1

3t - 2t = 1

t = 1

hence , this equation have Unique Solution .

(e) equation is 2t = 1

So, t = 1/2

hence , this equation have Unique Solution .

Therefore , The equations that have No solution are 2t + 1 = 2t and  2(t+1) = 2t + 1 , the correct options are (a) , (b) and (c) .

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The elk population in 2014 will be 19,700 ,A population is an identified grouping of objects with the purpose of analysis and data collection.

A population is an identified grouping of objects with the purpose of analysis and data collection. Examples include people and animals. It comprises of a related collection of species that live in a specific area and have the ability to interbreed.

The population increased by 12,700-12,000 = 700 between the two measures, however, it did so over a period of 1 year, from 2004 to 2003. Divide 700 elk by 1

The elk population in 2014 will be 19,700We must first establish the method

2014=700 should add 10 times then we will get the 2014th year population.

so the population of 2014th will 19700

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The age of the spear head is found to be 1625 years.

Let us recall that the age of the sample can be determined by the use of radiometric dating. Let us now define the variables;

The constant of the decay (k) =  0.0001

The amount of the sample originally present (No) = No

The amount of the sample at time t = 0.85No

t = The age of the sample

Given that;

N= Noe^-kt

N/No = e^-kt

0.85No/No = e^-0.0001t

0.85 = e^-0.0001t

ln0.85 = -0.0001t

t = ln0.85/ -0.0001

t = 1625 years

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We are asked to find an equivalent amount to 100 USD in french francs. Acording to the table, on tuesday, a dollar costs 4.3450 french francs, then we can find how many francs we got by multiplying 100 USD and 4.345, then we get:

Francs = 100×4.3450 = 434.50

Then, the answer is 434.5 french francs

Answer: Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.

Answer: a transformation, which is used to resize the object

Step-by-step explanation:

the shape changes size but not shape

To give an entity the desired position, orientation, or shape starting from the current position, orientation, or shape, geometric transformations are required. Scaling, rotation, translation, and shear are the fundamental transformations. Projections and mappings are two additional crucial categories of transformation.

Y =- X is what kind of a transformation?

Y = X's reflection:

The x-coordinate and the y-coordinate switch positions when a point is reflected across the line y = x. Y = -x reflection: The x-coordinate and the y-coordinate switch places when you reflect a point across the line y = -x, and they are negated (the signs are changed).

The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. The cross-sectional reflection of point (x, y)

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The correct option is option B that is "The graph of f(x) is shifted 17 units up". It is shifted 17 units up. By adding 17 to the equation, y increases by 17. If y increases by 17, the graph shifts up by 17.

In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to connected and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other types of graphs.

The process of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the modification of algebraic equations, it is a typical kind of algebraic problem.

It is shifted 17 units up.

By adding 17 to the equation, y increases by 17.

If y increases by 17, the graph shifts up by 17.

Option B, "The graph of f(x) is shifted 17 units up," is the answer. It is moved upward 17 units. Adding 17 to the formula causes y to rise by 17. The graph moves up 17 units if y rises by 17.

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Kadeem takes 0.5 hours to travel 25 miles, and Quinn 0.33 hours, so Kadeem takes longer.

Remember the relation:

Speed*time = distance.

Notice that if the distance is fixed, then for a longer speed the time needed will be smaller.

Here we know that:

Kadeem drives at a constant speed of 50mi/h

Quinn drives at a constant speed of 75 mi/h.

Replacing that in the equation:

Kadeem's case:

(50 mi/h)*t = 25mi

t = (25 mi)/(50 mi/h) = 0.5 hours.

Quinn's case:

t = (25mi)/(75 mi/h) = 0.33 hours.

So Kadeem takes longer.

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Answer:

30

Explanation:

To know the output value of the function, we need to replace x by -5 and calculated f(x). So:

Therefore, if the input x is -5, the output f(x) is 30

So, the answer is 30.

Answer:

x = 16

Step-by-step explanation:

Answer: 8.4cm

Step-by-step explanation:

sin cos tan

SOH CAH TOA

It is cos because CAH does not have opposite (o) in it and we want to find the opposite.

O is opposite (opposite angle)

A is adjacent (next to angle)

H is hypotenuse (opposite right angle)

This is how I remember it

Cos(61)*17.4=8.435

8.4cm

Answer:

There was a 48% increase from last year.

Step-by-step explanation:

Last year the debate club had 25 members. This year there are 37 members in the club. Estimate the percent change in the number of club members.

= (37 - 25) / 25

= -12 / 25

= 0.48 or 48%

There was a 48% increase from last year.

check:

25 * 1.48 = 37

Fencing of any rectangular region is basically represent perimeter of that rectangular region.

For most economical fencing, length L = 21.05 feet and width W = 13.301  feet.

Area of rectangular region is 280 square feet.

And length is L and width is W.

Area of rectangular region = L × W=280 square feet

W=280 / L

Since, The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 14 dollars per foot.

Therefore, Total cost, C = 6(2L + W) + 13W = 12 L + 19 W

Total cost, C = 12 L+ 5,320 / L

To find most economical cost, differentiate above function and equate to zero.

C' = 12 - 5,320 / L²

simplifying the above equation, we get

⇒ 12 - 5,320 / L² = 0

⇒ L² = 5,320 / 12

L = 21.05 feet

Therefore, L = 21.05 feet

Substituting value of L in area equation.

We get, W = 13.301  feet.

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Two lines are parallel if they hay the same slope.

The slope, m, of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

From the graph, line m passes through the points (0, 1) and (3,3), then its slope is:

Equation of a line in slope-intercept form

where m is the slope and (x1, y2) is a point on the line.

The new line has to pass through point P(1, -2). Substituting with this point and m = 2/3 into the general formula: