Mathematics High School

Solve each system by substitution. − 7x + 2y = − 19
2y − 21 = x

Answers

Answer 1

Answer: the first one is x=19/7+2y/7

the second one is y=x/2+21/2

hope this help :)

Answer 2
Here is the step by step explanation
Hope this helps
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Solve Each System By Substitution. 7x + 2y = 192y 21 = X

Related Questions

The value of the computer decreased exponentially throughout the five-year period.
What was the average annual of decrease (in dollars per year) over the two-year interval from t=2 to r=4?

table:
_Time___/_Value__
1 / $400.00
3 / $100.00
5 /$25.00

Answers

Therefοre , the sοlutiοn οf the given prοblem οf functiοn cοmes οut tο be the average yearly rate οf decrease (in dοllars per year) is $100.

Explain functiοn.

Each tοpic, mathematics, variable design, which is and bοth actual and hypοthetical lοcatiοns will be cοvered in the midterm exam questiοns. a catalοg οf the cοnnectiοns between variοus cοmpοnents that wοrk tοgether tο prοduce the same οutcοme. A service is made up οf many unique parts that wοrk tοgether tο prοduce unique οutcοmes fοr each input.

Here,

[tex]= > V(t) = V(0) * e^{(-kt)[/tex]

By using the numbers at times t=1 and t=3, we can determine the decay cοnstant k:

[tex]= > V(1) = 400 = V(0) * e^{(-k1)[/tex]

[tex]= > V(3) = 100 = V(0) * e^{(-k3)[/tex]

[tex]= > 100/400 = e^{(-k3) / e^{(-k1)[/tex]

[tex]= > 1/4 = e^{(-2k)[/tex]

[tex]= > ln(1/4) = -2k[/tex]

[tex]= > k = ln(4)/2[/tex]

[tex]= > k ≈ 0.69315[/tex]

The value οf the cοmputer at times t=2 and t=4 can nοw be determined using the algοrithm fοr V(t):

[tex]= > V(2) = V(0) * e^{(-k2)[/tex]

[tex]= > V(4) = V(0) * e^{(-k4)[/tex]

[tex]= > V(4)/V(2) = e^{(-k4) / e^{(-k2)[/tex]

[tex]= > V(4)/V(2) = e^{(-2k)[/tex]

[tex]= > V(4)/V(2) = e^{(-0.69315*2)[/tex]

[tex]= > V(4)/V(2) =0.5[/tex]

Over this time periοd, the average yearly rate οf decline (in dοllars per year) is:

Ratiο οf decline equals value shift. (time interval)

=>  V(2) - V(4) = (rate οf decline) / (4 - 2)

=>  (amοunt οf reductiοn) is equal tο (V(2) * (1 - 0.5)) / 2.

=>  (amοunt οf decline) is equal tο (V(2) * 0.5) / 2.

=>  V(2) / 4 equals (rate οf decline)

=>  (rate οf reductiοn) equals 400 / 4

=> rate οf decline) = $100 annually

As a result, οver the twο-year periοd frοm t=2 tο r=4, the average yearly rate οf decrease (in dοllars per year) is $100.

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Select the correct type of solution set for the system

Answers

Answer:

no solution

Step-by-step explanation:

No solution is your answer

Why must you use the HEIGHT of the parallelogram, NOT the length of the slanted side of the parallelogram, to determine its area?

Answers

The area of a parallelogram is base times height because it can be rearranged into a rectangle with the same area. A rectangle is a special type of parallelogram.

Function Notation: f(x)= -4+22; f(12)​

Answers

Answer:

f(x)=-4x+22

f(12)=-4×12+22=-48+22=-26 if your

Step-by-step explanation:

question is f(x)=-4x+22

If you are given x2 + 15x + 9, what does the expression equal if x=2

Answers

Answer:

43

Step-by-step explanation:

2(2) + 15(2)+ 9 = 43

Answer:

43

Step-by-step explanation:

2 x 2 = 4

4 + (15 x 2) = 34

34 + 9 = 43

There’s an option D on the bottom you just can’t see.

Someone please help with this question

Answers

Answer:

B. 25

Step-by-step explanation:

30 + 35 + 10 = 75

100 - 75 = 25

Answer:

it's B (25%) players play the woodwinds.

Step-by-step explanation:

35% + 10% + 30%= 75%

100% - 75%= 25%

Looking north, two skyscrapers are sighted from the viewing deck of the Empire State Building at 1250 feet up. One skyscraper is sighted at a 20° angle of depression and a second skyscraper is sighted at a 30° angle of depression. How far apart are the two skyscrapers to the nearest foot?

Answers

Answer:

Step-by-step explanation:

The angle of depression is the angle between the line of sight and a vertical line.

The distance between the two skyscrapers is 1269ft

I've added as an attachment, a figure that illustrates the scenario

First, we calculate distance AB using the following tangent ratio

[tex]\mathbf{\tan(\theta) = \frac{Opposite}{Adjacent}}[/tex]

So, we have:

[tex]\mathbf{\tan(60) = \frac{AB}{1250}}[/tex]

Make AB the subject

[tex]\mathbf{AB = 1250 \times \tan(60)}[/tex]

Next, we calculate distance AC using the following tangent ratio

[tex]\mathbf{\tan(\theta) = \frac{Opposite}{Adjacent}}[/tex]

So, we have:

[tex]\mathbf{\tan(60+10) = \frac{AB + BC}{1250}}[/tex]

[tex]\mathbf{\tan(70) = \frac{AB + BC}{1250}}[/tex]

Make AB + BC, the subject

[tex]\mathbf{AB + BC = 1250 \times \tan(70)}[/tex]

Make BC the subject

[tex]\mathbf{BC = 1250 \times \tan(70) - AB}[/tex]

Substitute [tex]\mathbf{AB = 1250 \times \tan(60)}[/tex]

[tex]\mathbf{BC = 1250 \times \tan(70) - 1250 \times \tan(60)}[/tex]

[tex]\mathbf{BC = 1269}[/tex]

Hence, the distance between the two skyscrapers is 1269ft

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Pythagorean Theorem is annoying..​

Answers

Answer:

c = 10

Step-by-step explanation:

8² + 6² = c²

64 + 36 = c

64 + 36 = 100

[tex]\sqrt{100\\[/tex] = 10

Hope this helps :)

Find sin A.
a.
4
sin A = -
3
sin A
b.
4
sin A =
d.
sin A =

Answers

Answer:

4/5

sin A = perpendicular/hypotenuse

sinA = 28/35

sinA = 4/5

hope it helps

option B

Answer:

B. Sin A = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Sin A = opposite / hypotenuse

Sin A = 28 / 35

Divide both by 7

28 / 7 = 4

35 / 7 = 5

[tex]\frac{28}{35} = \frac{4}{5}[/tex]

Marvin has 2 rabbits. The number of rabbits triples
every year. Marvin needs 100 pounds of food to feed
one rabbit per year. How many pounds of food will
Marvin need to feed his rabbits during the third year?
Select one:
o
900
O
1200
600
1800

Answers

Answer:

1800

Step-by-step explanation:

Answer:

1800 pounds

Step-by-step explanation:

1st year: 2 rabbits

2nd year: 6 rabbits

3rd year: 18 rabbits

18 x 100 = 1800

hope this helps :)

what is the scale factor plz help plzz

Answers

Answer:

c

Step-by-step explanation:

A girl weight increased by 12% between her tenth and four teen birthdays . If she weighed 45kg on her tenth birthday. What did she weigh on her fourteenth birthday

Answers

Ok so the first thing you are going to do is chang the percentage into a decimal. 12 percent would change into 0.12, because in order to change a percentage into a decimal you move the decimal two places to the left. Next you would multiply 0.12 by 45 which gives you 5.4. But we are not done yet. By multiplying 0.12 x 45 we find how much weight she has gained. So our next and final step should be add 5.4 to 45 which gives us 50.4. Therefore your answer should be 50.4kg
Hope this helps!!!
Please tell me if I have made a mistake, I enjoy learning from mistakes!!
Have a great rest of your day!!

Susan has 50% more books than Michael. Michael has 40 books. If Michael buys 8 more books, will Susan have more or less books than Michael? Use any method to solve the problem

Answers

Answer:

Susan has more books than Michael.

Step-by-step explanation:

If Susan has 50% more books and Michael has 40 books, that means Susan has 1.5 times 40 = 60

40 + 8 = 48

60 is more than 48, so Susan has more books than Michael

a rectangular prism measures 3 in by 8 in by 9 in. what is the side length of a cube with the same volume?

Answers

Answer:

6 in.

Step-by-step explanation:

Rectangular prism

V = lwh       l = 8   W = 3    h = 9

  = 8(3)(9)

  = 216

Cube

[tex]V = s^{3}[/tex]   where s = length of side

216 = [tex]s^{3}[/tex]

[tex]s = \sqrt[3]{216}[/tex]  = 6

Find the volume: 5ft 5ft 8ft 3ft ​

Answers

Answer:

120ft

Step-by-step explanation:

8 x 3 x 5

2. Solve for b.
(a - 3)

Answers

Answer:

Step-by-step explanation:

Sum of angles inside triangle is 180

b + (a -3) + 90 =180

b + a - 3 + 90 = 180

b + a +  87 = 180

b + a +  87 -87 = 180-87

b + a  = 180-87

b + a  = 93

b = 93 -a

Help ASAP PLEASEEE ILL GIVE BRAINLIEST

Answers

Answer:

3/18 = 6/ DG

Step-by-step explanation:

On her lunch break, Audrey grabs a meal with her two coworkers. If everyone paid an equal amount of $8.50, then how much was the total bill?

Answers

Answer:

$25.50

Step-by-step explanation:

3 people including Audrey went on the lunch break. If each spent $8.50, the total bill can be calculated in two ways

Method 1

$8.50 x 3 = $25.50

Method 2

$8.50 + $8.50 + $8.50 = $25.50

help me with all of it if u can​

Answers

Answer:

Answers: (4. = 3) (5. = 9) (6. = 20)

1) four 1/2's
2) 15 1/5's in 3
3) 10 1/8's in 1 1/4
4) 3
5) 9
6) 20
7) 2 times
8) 4
9) i believe the answer is 12 for this one

hopefully i was able to help!

What is the y coordinate?

Answers

Answer:

2

Step-by-step explanation:

2. What is the value of f(x)=2/3x+1/4 when x=6

Answers

Answer: 17/4 or 4.25 or 4 1/4
17/4 will end up being the answer

Alexis bought 4 cupcakes that cost $1.05 each. She paid with a five dollar bill. How much change did Alexis receive?

Answers

Answer:

Ans (change recieved) = $0.80

Step-by-step explanation:

because 1 cupcake cost $1.05, 4 of them cost $4.2 because you multiply 4 cupcakes by the cost ($1.05) to obtain the total cost of the four cupcakes.

in order to know the change she recieved . you subtract the $5 bill she paid with the total cost of the 4 cupcakes

$5.00 - $4.20 = $ 0.80

can play 18 holes of golf in 180 minutes. Calculate what is his average rate in number of minutes per holes?

Answers

180/18=10
Which is 10 minutes per hole

Select all the equations that are true. Explain your thinking.

Answers

Answer:

A,D,E,

Step-by-step explanation:

What is the area? square kilometers​

Answers

Answer:

Step-by-step explanation:

The area of a trapezoid is the height times the average of its parallel bases.

A=h(b1+b2)/2, in this case

A=14(4.6+8.7)/2

A=7(4.6+8.7)

A=7(13.3)

A=93.1 km^2

A 1. Explain the key difference between permutations of three out of a
group of seven objects and combinations of three out of a group of
seven objects.

Answers

Answer:

Step-by-step explanation:

im clueless

A survey of 7th grade students found that 18 out of 32 students prefer to buy their lunch at school instead of bring it from home. What percent of students is that? Write your final answer as a percentage.

Answers

Answer: 56.25%

Step-by-step explanation: You would divide 18 over 32, which would get the decimal 0.5625. Then you would multiply this by 100/100 which would get 56.25/100. This would get you 56.25%.

1. Use the mental math strategy of rounding (for example +1/-1, +2/- 2, +10/-10, or +20/-20) to add the following numbers. Write down how you would change the numbers in your head for each question.
Ex. 27 + 51 28+50=78
a. 41 + 16=
b. 79 + 14=
c 580 + 355=
d. 174 + 620=
e. 378 + 210=

Answers

a. 41 + 16=57 40+17= 57
b. 79 + 14=93 80+13= 93
c. 580+355=935 600+335=935
d. 174+620=794 194+600=794
e. 378+210=588 388+200=588


Here you go, hope this helps! :)

What is the partial fraction decomposition in terms of X? Review the work showing the first few steps in writing a partial fraction decomposition. 6 O + 121-25 B 2.x - 3 А + 2-3 (21 - 3)² 412-12: +9 (2x - 3) 6 43 - 12x - 25 = A(2x - 3) + B 2.x - 3 (2:- 3) 12x - 25 = 2Ax - 3A + B 6 7 + 2x - 3 (2x - 3)2 7 2x - 3 (2,-3)​

Answers

After partial fraction decomposition the correct expression we get,

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex]

Hence option fourth is correct.

Partial fractions is a technique used in mathematics to decompose a rational function into simpler fractions.

It involves breaking down a rational function with a denominator of a higher degree into a sum of fractions with simpler denominators.

The given expression is,

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A}{2x-3} + \frac{B}{(2x-3)^2}[/tex]

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A(2x-3) + B}{4x^2 - 12 x + 9}[/tex]                      [since (a-b) = a² + b² -2ab]

Simplifying we get

⇒ 12x - 25 = A(2x - 3) + B

⇒ 12x - 25 = 2Ax + (B - 3A)

Comparing the coefficients we get

2A = 12

⇒ A = 6

And B - 3A = -25

Put the value of A we get

B =  -7

Hence,

After substituting the values of A and B in the given expression we get

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex].

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If 1 lb = 2 c, then 1 1/2 c = _____ lb

Answers

Answer: b=

10.873127c2hn11t

4l

Step-by-step explanation:

Answer:

0.75 lb cause proportions

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