Write the equation of a line that is parallel to y = 1/2 x + 5
that passes through the point (2,6).

Answer:

[tex]=2(2x-5)(x+1)[/tex]

Step-by-step explanation:

So we have the trinomial:

[tex]4x^2-6x-10[/tex]

First, factor out a 2:

[tex]=2(2x^2-3x-5)[/tex]

Now, factor within the parentheses.

To do so, we want to find two numbers. When multiplied, these two numbers must equal (a)(c) and when added, they must equal b

(a)(c) is 2(-5) or -10 and b is -3. So, we want two numbers that when multiplied together gives -10 and when added gives -3.

-5 and 2 works. Therefore:

[tex]=2(2x^2-3x-5)[/tex]

Replace -3x with 2x and -5x:

[tex]=2(2x^2+2x-5x-5)[/tex]

Factor out a 2x for the first two terms. And factor out a negative 5 for the remaining two:

[tex]=2(2x(x+1)-5(x+1))[/tex]

Grouping:

[tex]=2(2x-5)(x+1)[/tex]

And we're done!

Answer:

[tex]f(-1) = \frac{5}{2}[/tex]

[tex]f(0) = 5[/tex]

[tex]f(2) = 20[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5(2^x)[/tex]

Required

Determine f(-1); f(0) and f(2)

Solving f(-1)

In this case, we simply take x as;

[tex]x = -1[/tex]

Substitute -1 for x in [tex]f(x) = 5(2^x)[/tex]

[tex]f(-1) = 5(2^{-1})[/tex]

Apply law of indices

[tex]f(-1) = 5 * \frac{1}{2}[/tex]

[tex]f(-1) = \frac{5}{2}[/tex]

Solving f(0)

In this case, we simply take x as;

[tex]x = 0[/tex]

Substitute 0 for x in [tex]f(x) = 5(2^x)[/tex]

[tex]f(0) = 5(2^0)[/tex]

[tex]f(0) = 5(1)[/tex]

[tex]f(0) = 5[/tex]

Solving f(2)

In this case, we simply take x as;

[tex]x = 2[/tex]

Substitute 2 for x in [tex]f(x) = 5(2^x)[/tex]

[tex]f(2) = 5(2^2)[/tex]

[tex]f(2) = 5(4)[/tex]

[tex]f(2) = 20[/tex]

Answer:

x=2 and y=1

Step-by-step explanation:

2x+y=5

x-y=1

buy adding both equations we get

3x=6

x=2  ( divide 3 on both sides)

put x=2 in any equation  

2-y=1

y=2-1

y =1

p2

Problem#2

Let say two complementary angles are A & B

difference of two complementary angles is 30°

=> A - B = 30

Sum of  two complementary angles is 90°

=> A + B = 90

Hence A = 60° , B = 30°

Problem#3

Total bill  = 30

$ 10 Bills = A

$ 20 Bills  = B

10 * A  + 20* B = 460

A + B = 30

A = 14 , B = 16

Problem#4

4x+2=y

2y−8x=10

The first step is to simplify the second equation into  

y=mx+b form.

2y−8x=10y  

y−4x=5

y=4x+5

Now, the two equations are:

y=4x+2

y=4x+5

Answer:

15 rubber bands per day

Step-by-step explanation:

The correct answer is 0.45 or 45%

Explanation:

In this case, the probability of selecting a student whose major is Humanities can be calculated by finding the number of Humanities students, which is considered as the desired outcome, and dividing this by the total of outcomes or students. The process to find the probability is shown below:

[tex]P = \frac{Desired outcomes}{Total outcomes}[/tex]

[tex]P= \frac{Students from Humanities}{Total students}[/tex]

[tex]Students of Humanities = 5 + 5 + 3 + 3 = 16 students[/tex] (Add the students of each year that are part of Humanities)

[tex]Total of students = 35[/tex] (This number is provided in the question but can also be found by adding all numbers in the table)

[tex]P = \frac{16}{35}[/tex]

[tex]P = 0.45[/tex]

Multiply the probability by 100 to know its equivalent in percentages 0.45 x 100 = 45. This means the probability that a student of humanities is selected is 0.45 or 45%.

Answer:

The third one, 104,000,027,571

Step-by-step explanation:

The first and second ones are not the answers because the problem does not say one hundred forty billion.

The last one is not the answer because the problem doesn't say two hundred seventy thousand.

Thus leaving the third one, which fits the description of the number.

Answer:

The longest length of carpet is 160 cm.

Step-by-step explanation:

Given that the total ratio(units) of the carpet is 9(2+3+4). So first, you have to find the length of carpet in 1 unit :

[tex]9 \: units = 360 \: cm[/tex]

[tex]1 \: unit = 360cm \div 9[/tex]

[tex]1 \: unit = 40 \: cm[/tex]

Next, you have to find the length of carpet in 4 ratio as the question wants the longest length :

[tex]4 \: units = 40 \: cm \times 4[/tex]

[tex]4 \: units = 160 \: cm[/tex]

Answer:

160cm

Step-by-step explanation:

2+3+4= 9

4/9 x 360= 160cm

Answer:

The correct answer is: (just took the test)

if a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram

if there is a children’s movie playing at the cinema, Maria’s mother will buy popcorn for Maria

Step-by-step explanation:

For the given answers the answers that follow the law of syllogism is options A and  B.

Given that,
4 statement is given, and we have to pick the statement that follows the low of syllogism.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here
There are only two statements that are following the law of syllogism. ie.

A. If there is a children's movie playing at the cinema, Maria's mother will take her to see it. When Maria's mother takes her to the movie, she buys Maria popcorn. Therefore, if there is a children's movie playing at the cinema, Maria's mother will buy popcorn for Maria.

B. If a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram.

C. and D. are invalid statement because it does not follow the Law of Syllogism.

Thus, for the given answers the answers that follow the law of syllogism is options A and  B.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer: -3/2

Step-by-step explanation:

To find its distance away from 0, then just find its opposite.

On the number line if you graph 3/2,  its opposite will be -3/2

Answer:

Points P ( 4 , - 7 ) and  Q ( 1 , 5 ) belong to the equations:

1  ;  4  ;  and  5

Step-by-step explanation:

Equations 1 ; 4 and 5 are the same equation

Equation 1    y  =  - 4*x + 9

Equation 4

y + 7 = - 4 * ( x - 4 )   ⇒  y + 7  = - 4*x + 16   ⇒ y = - 4*x - 7 + 16

y = -4*x + 9

Equation 5

4*x + y = 9    ⇒ y = - 4*x + 9

Now for the equation y = - 4*x + 9

P ( 4 , -7)

For x = 4    y = - 4*(4) + 9     ⇒  y = - 16 +  9    ⇒  y = - 7

Then point P is in the line  y = - 4*x + 9

Point Q (1 , 5 )

For x = 1    y = - 4 * ( 1) + 9     ⇒  y = - 4 + 9    ⇒  y = 5

Point Q is in the line y = - 4*x + 9

Equation 2

y = - 4*x - 23

Point P ( 4 , - 7 )

For x = 4       y  = 16 - 23   y  = - 7

Point P is in the line

Point Q

For x = 1     y = - 4 *(1) - 23      ⇒   y = - 27

Then poin Q is not in the line

Equation 3

y - 1 = - 4 * ( x - 4 )

y  - 1 =  -4*x + 16    ⇒   y  = - 4*x + 17

Point P ( 4 , - 7 )

For x = 4

y = - 16 + 17   ⇒ y = 1    

Point P is not in the line

And Point Q ( 1 , 5 )

For  x = 1

y = - 4* ( 1 ) + 17    ⇒  y  = 13    Q is not in the line

Answer:

1 4 5

Step-by-step explanation:

jus took the test

Answer:

Difference in length = 1/4 yards

Step-by-step explanation:

Given:

Blue scarf in yard = 7/8 yard

Another car in yard = 5/8 yard

Find:

Difference in length

Computation:

Difference in length = Blue scarf in yard - Another car in yard

Difference in length = 7/8 - 5/8

Difference in length = 2/8

Difference in length = 1/4 yards

Answer:

4% of x

Step-by-step explanation:

20% of x

y% of 20

Hope it is what you are looking for

Answer:

1/-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The angles of rotation coincide as follows:

DEF  is  45°

GHI is  115°

JKL  is  210°

Step-by-step explanation:

Answer:

15mg/ml

Step-by-step explanation:

Percent mass per volume ( % m/v) is unit expression that tells us how many grams of a solute that we can find 100 ml of a particular solution.

In the above question, we are asked to express 1.5%w/v Bepotastine besilate (BEPREVE) ophthalmic solution as mg/mL

Step 1

1.5% w/v = 1.5 g of Bepotastine besilate (BEPREVE) in 100ml ophthalmic solution

Hence, if

100ml = 1.5g

1 ml = y g

We Cross Multiply

100ml × yg = 1 ml × 1.5g

yg = 1 ml × 1.5g/100ml

= 0.015g

Therefore, in 1 ml we have 0.15 g.

Step 2

Since we are asked to express as mg/ml

We convert 0.015g to mg

1 gram = 1000 milligrams

0.015 grams =

Cross Multiply

0.015grams × 1000 milligrams/ 1 gram

= 15 mg

Therefore, the concentration in mg/ml of 15% m/v of Bepotastine besilate (BEPREVE) ophthalmic solution is 15mg/ml

Round each number to the nearest hundred.

 212 = 200.

 314 = 300.

How much more marbles does Peck have?

 314 - 212 = 102.

That is your answer. Hope this helps!

Answer:

100 more marbles

Step-by-step explanation:

So first let's round the numbers to the nearest hundred. So 212 rounds to 200, and 314 rounds to 300. Then we do 300-200 and get 100. SO the answer is 100.

Answer:

x= 1.333333333333 or 1 1/3

Step-by-step explanation:

solve for x, 0 times 5= 0 plus 4 is 4 div by 3 is 1 and 1/3

Answer:

Recede

Step-by-step explanation:

Famished means extremely hungry

Recede means go or move back or further away from a previous position

Answer:

Recede

Step-by-step explanation:

So let's look at the meanings of these two words.

Recede: To go or move back backward; become more distant.

Famished: Severely suffering from hunger.

So now you can see that recede is the word that makes more sense in the blank.

Far away on the horizon, we saw the tiny figures of a lonely traveler and his mule Recede into the sunset.

Hope this Helps!

Answer:

[tex]-\frac{7}{6}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

-7/6

Step-by-step explanation:

-1/3=-2/6

-2/6-5/6=-7/6

Answer: Multiplying integers is very similar to multiplying whole numbers. A positive number times a negative number equals a negative number. A negative number times a negative number equals a positive number. A negative number times a positive number equals a negative number.

Answer:

The answers are all real numbers where x<2 or x>2. We can use a symbol known as the union, ∪,to combine the two sets. In interval notation, we write the solution:(−∞,2)∪(2,∞). In interval form, the domain of f is (−∞,2)∪(2,∞).

Answer:

[tex]\huge\boxed{\mathrm{Range = 1.05}}[/tex]

Step-by-step explanation:

Given Data:

2.45 , 3.50 , 2.89 , 2.99

Arrange it in ascending order.

2.45 , 2.89 , 2.99 , 3.50

Range = Highest No - Lowest No.

Range = 3.50 - 2.45

Range = 1.05

Answer:

Range=largest value-smallest value

Range=2.99-2.45

Range=0.54

Step-by-step explanation:

hope it is helpful for you

if it is please follow

Answer:

m + 188 = 232

Step-by-step explanation:

sum → +

m + 188 = 232

Answer:

m + 188 = 232

Thats is an equation for your problem

Answer:

Domain : (-∞,∞)

Range : (1 , ∞)

Answer:

d

Step-by-step explanation:

Answer:

-0.74

Step-by-step explanation:

The computation of Z is shown below:

According to the question, data provided in the question is as follows

P(Z >  Z) = 0.23

Based on the above information, the calculation for Z is

Use the table of the standard normal distribution for z

By using this the Z value comes is -0.74

hence, in case of the standard normal distribution, the value of z is -0.74 and the same is to be considered

Answer:

This can be because our number, 300,684, has only four digits different than zero.

Then we can write this number as:

300,684 = 300,000 + 600 + 80 + 4.

So we add only 4 terms.

So when we write a number in this form, we will have the same numbers of terms in the addition that the number of digits different than zero in our original number.

Answer:

$153.00

Step-by-step explanation:

A = $1,353.00

(I = A - P = $153.00)

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year.

Solving our equation:

A = 1200(1 + (0.0425 × 3)) = 1353

A = $1,353.00

The total amount accrued, principal plus interest, from simple interest on a principal of $1,200.00 at a rate of 4.25% per year for 3 years is $1,353.00.

Answer:

$153

Step-by-step explanation:

Simple Intrest = P ( money invested ) * R ( percentage ) * T ( year )

I = P * R * T / 100

I = 1200 * 4.25 * 3 = 15300 / 100 = $153

This is the easiest method for me and I hope it helps :)

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Of the United States, true, you are in the south.

Texas is a southern state of the USA.

Of the world, false, you are more north than south, and also you are around the middle north of the world.

The pictures I attached are maps of the USA and the world.

As you can see in the USA map, Texas is one of the states are are the lowest.

But if you look at the world map, Texas is not very south.

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