Solve the following system of equations algebraically:
y = x^2 – 10x + 15
y = 2x – 5

Solve The Following System Of Equations Algebraically:y = X^2 10x + 15y = 2x 5

Answers

Answer 1

Answer:

(2, -1)

(10, 15)

Step-by-step explanation:

Subtract the second equation from the first

  y = x² – 10x + 15

- (y =           2x – 5)

————————————

 0 = x² - 12x + 20

Factor

(x  - 2)(x - 10) = 0

x = {2, 10}

-------------------

For x = 2

y = 2(2) - 5

y = -1

Solution 1

(2, -1)

----------------------

For x = 10

y = 2(10) - 5

y = 15

Solution 2

(10, 15)


Related Questions

Using the correct graph, describe the association shown. Will mark brainliest❤️

Answers

Answer:

it is linear association

Step-by-step explanation:

Jane is buying a jacket that regularly costs $54. However, the jacket is on sale for 25% off the regular price. A sales tax of 6% will be added to the final purchase price. How much will Jane pay for the jacket, including tax?

Answers

Answer:

42.93

Step-by-step explanation:

54 x 0.25 = 13.50

54 - 13.5 = 40.50

40.5 x 0.06 = 2.43

40.50 + 2.43 = 42.93

Answer:

$42.93 I received 100%

Step-by-step explanation:

Given that a = 14 cm and b = 25 cm, work out the area of the triangle.

Answers

you haven't attached a picture, so i'll take b= 25 cm and h= 14 cm
area of triangle= 1/2*bh
=1/2*350
= 175 sq. cm.

Answer:

175

Step-by-step explanation:

I am assuming that you mean that a and b are both bases of a  right triangle. Please correct me if I am wrong.

14 * 25/2 = 350/2 = 175

The area would then be 175 cm²

Does anyone know plz help soon

Answers

Answer:

2,4

Step-by-step explanation:

answer:
b. (2, 4)
explanation:
the lines intersect at (2, 4)

Solve the following expression if x = 5 and z = 8. x + (-z)

Answers

Answer:

z = 20 , x = 5

Step-by-step explanation:

The answer is -3 because the equation would look like this 5+(-8) which would then equal 5-8 which equals -3

What is the best estimated sum of 6/7 + 4/7?
A) 1/2
B) 1
C) 1 1/2
D) 2

Answers

Answer:

C. 1 1/2

Step-by-step explanation:

6/7 + 4/7 = 10/7 So 1 3/7. closest is 1 1/2

The number 16/4 fits into which categories?​

Answers

Answer:

a fraction

Step-by-step explanation:

I hope this helps

Answer:

16/4 fits into a rational number group, real number group and an integer group.

Hope it helps :)

What is the mean of the distribution

Answers

the awnser is 799 by 983

Step-by-step explanation:

movie theater has opened.
Number of Tickets

If the trend continues, after how many weeks will the movie theater sell
300 tickets per week?

А. 50
B. 15
C. 12
D. 11
I need a correct answer fast please!!!!

Answers

Answer:

I think the possible answer is C.12

hope its right but if its wrong please feel free to correct me.

"The more miles a person runs, the more calories the person burns."
Which scatter plot supports this statement?

Answers

Answer:

D

Step-by-step explanation:

every time the mile increases he burns more calories you can see that when you look at it closely

Simplify this expression using the distributive property.
2(2z+9)

Answers

Answer:

[tex]\bold{4z+18}[/tex]

Step-by-step explanation:

Hi there!

The Distributive Property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

Now, let's use this property to solve our problem:

[tex]\bold{2(2z+9)}[/tex]

[tex]\bold{4z+18}[/tex]

Hope it helps! Enjoy your day!

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever:-):-)}[/tex]

Hi, let me help you out!

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

In order to simplify this, we're going to use a property that's called the Distributive Property:

[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]

Where a, b, and c can be variables, constants, or both (like 4c).

Now let's simplify our expression:

[tex]\longrightarrow\tt{2(2z+9)}[/tex]

Multiply 2 times 2z and 9:

[tex]\longrightarrow\tt{4z+18}[/tex]

Hence, we conclude that the answer is: [tex]\tt{4z+18}[/tex].

I hope this helps you! Have an awesome day.

If you need any explanation or clarification, just let me know! :)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

which expression is equivalent to the one below

Answers

It would be B, if you divide 6 by 9 you get .666 which is equivalent to 2/3, you do 6(1/9) you also get 2/3. Hope this helps:)

What is 3½ tons =___pounds?​

Answers

Answer:

7,000 LBs

Step-by-step explanation:

1 ton is 2,000, half of a ton is 1,000

Answer:

7000 lbs

Step-by-step explanation:

The formula for tons to pounds is to multiply the value by 2000

What is the function of X?

Answers

D the sent greater than or equal to 1

would someone pls help me this is math and rn I have a D+ so if I get all my question or at least some I will get an A or A+

Answers

Answer:

The probability of getting a 1, 2, 3 on three rolls respectively is [tex]\frac{1}{216}[/tex].

Step-by-step explanation:

Since you are rolling three dies, and each die has six sides, that means there are a total of 216 possible outcomes. Out of the 216 different outcomes, only 1 of them meet the requirement of rolling a '1' on the first die, a '2' on the second die, and a '3' on the third die, so the fraction to represent the situation would be [tex]\frac{1}{216}[/tex].

8 POINTS I don’t understand this can anyone help?? If you answer all my other questions on BrainlyI will give you 30 points:)

Answers

Answer:

I remember my teacher saying that when you get the answer you have to * when you get the answer

2
2. This system of equations has : y = -2x
y = -2x + 1
A. One Solution
B. Infinitely Many Solutions
C. No Solutions

Answers

Answer:

C.  no solutions

Step-by-step explanation:

Both equations have a slope of -2, but have different y-intercepts.  Therefore, the graphs of the equations are parallel, but don't coincide, nor do they intersect.  So, there are no solutions

The horizontal cross section shown is a parallel to the base of the pyramid is the shortest side of the cross-section measures 1.2 cm what is the measure of the cross

Answers

Answer:

The longest side of the cross-section is: [tex]2.4cm[/tex]

Step-by-step explanation:

Given

See attachment for pyramid

Required

The longest side of the cross-section

The base of the pyramid is a rectangle with the following dimension (in terms of length)

[tex]Long = 6cm[/tex]

[tex]Short = 3cm[/tex]

For the cross-section, we have:

[tex]Long = x[/tex]

[tex]Short =1.2cm[/tex]

Since both are parallel, then the following relationship exist between both

[tex]Ratio = Long : Short[/tex]

So, we have:

[tex]6cm : 3cm = x: 1.2cm[/tex]

Express as fraction

[tex]\frac{6cm }{ 3cm }= \frac{x}{1.2cm}[/tex]

[tex]2= \frac{x}{1.2cm}[/tex]

Make x the subject

[tex]x = 2 * 1.2cm[/tex]

[tex]x = 2.4cm[/tex]

A circle centered at the origin has a radius of 13. The terminal side of an angle x, intercepts the circle in quadrant IV at point C. The x coordinate of point C is 12. What is the value of sin x

Answers

Answer:

[tex]sin x=-\frac{5}{13}[/tex]

Step-by-step explanation:

From the question we are told that:

Radius [tex]r=13[/tex]

Co-ordinate of x axis at C [tex]x'=12[/tex]

Let

x' represent the x axis

y' represent the y axis

Since the intercept across the radius has values on the x' and y' axis

Therefore

Generally the Trigonometric equation for cos x is mathematically given by

 [tex]cos x=\frac{x'_c}{r}[/tex]

 [tex]cos x=\frac{12}{13}[/tex]

Generally the Trigonometric equation for sin x is mathematically given by

[tex]sin x=\sqrt{1-cos^2x}[/tex]

[tex]sin x=\sqrt{1-(\frac{12}{13})^2}[/tex]

[tex]sin x=\frac{5}{13}[/tex]

Since x is in the IV quadrant sin x is negative

[tex]sin x=-\frac{5}{13}[/tex]

What is the area of the right triangle shown below?

Answers

Answer:

1.5

Step-by-step explanation:

base x height x 0.5

Pythagorean theorem: c^2 - a^2 = b^2

b = square root of (2.5)^2 - (1.5)^2

= 2

b = height

area = 0.5 x 1.5 x 2 = 1.5

Answer:

1.5

Step-by-step explanation:

Use the Pythagorean Theorem. A^2 + b^2 = c^2

A and b being the sides and C being the hypotenuse.

2.5^2 - 1.5^2 = 4

Square root of 4 is 2.

Then you use the area of a triangle formula. 1/2 * base * height = Area of a triangle.

1.5 * 2 * 0.5 = 1.5

It takes 8 workers 12 days to build a wall work out how many days it would take 3 workers to complete the same job

Please can someone answer and explain??

Answers

Answer: 24 days

Step-by-step explanation

h every worker, 4 workers will still take 12 days. If the work is to shake every other worker's hand, 4 workers will only take 37 x 12 days.

any tips on how to do this?? i have no clue how

Answers

Answer:

6.7

Step-by-step explanation:

For this questions we have the oppsotie side and need the adjacent

out of SOH, CAH, TOA we will sue TOA

tan(56)=10/x

tan(56)/10=1/x

10/tan(56)=x

x=6.745 which rounds to 6.7

Which numbers are irrational?
A
1-4
B
5
19
с
0.573
D
13
7
3
E TI
F
V 11

Answers

Wish I could help I’m not good at math

Answer:

i have that same question too i still don't the answer.

Step-by-step explanation:

A marble is picked at random. Without putting the first marble back, a second marble is picked at random. ​Find the probability that first marble picked is green and second marble picked is red. ​Write your result as a percentage.

Answers

Answer:

Probability = 1/5 = 20%

Step-by-step explanation:

Prob (1st marble green) = Green Marbles / Total Marbles = 3/6 = 1/2

Pr (2nd marble red), without replacement = Red Marbles / Left Total Marbles = 2/5

Prob (1st marble green, & 2nd marble red) = 1/2 x 2/5 = 1/5

Prob in percent = 1/5 x 100 = 20%

Find the area of the following colored colored regions?

Answers

Answer:

64-16pi(not rounded)

64-50.27 = 13.73 (rounded)

Step-by-step explanation:

Square = side^2 - side =8 (4+4)

8*8 = 64

Circle area= pi r^2

16 pi = 50.27

Square-pi*r^2 = answer

64-16pi(not rounded)

64-50.27 = 13.73 (rounded)

The triangle shown below is reflected across the y-axis.
What is the result of this reflection?
answer
A
B
C
D
??

Answers

Answer:

yo need more photos

Step-by-step explanation:

Help me again plz/ thank you!!

Answers

Answer:

[tex]LA=336~cm^2[/tex]

[tex]A=556 ~cm^2[/tex]

Step-by-step explanation:

[tex]Lateral ~Area[/tex]

[tex]LA=(2*11*8)+(2*10*8)=[/tex]

[tex]LA=336~cm^2[/tex]

------------------

[tex]Total ~Area[/tex]

[tex]A=LA+A~base[/tex]

[tex]A=336+(2*11*10)[/tex]

[tex]A=556~cm^2[/tex]

----------------------------

hope it helps....

have a great day!!

Answer:

Lateral: A= 336 cm^2

Total: A= 556 cm^2.

hellpppppppppppp...
'

Answers

Answer:

1 1/2

one and one half.

Step-by-step explanation:

Answer:

81/16

Step-by-step explanation:

PLEAEE HELP!! I’ll give brainlist:((

Answers

Answer:

Ok the area of the first circle is 154m Rounded.

The circumference of circle one is 44m Rounded.

Area of the 2nd figure is 2827ft Rounded.

And the circumference of circle 2 is 189ft Rounded.

Step-by-step explanation:

Have a nice day

2x-56=34 solve for x

Answers

Answer:

x = 45

Step-by-step explanation:

2x - 56 = 34

2x = 34 + 56

2x = 90

x = 45

Answer:

x = 45

Step-by-step explanation:

2x-56=34 add 56 to both sides

2x = 90 divide both sides by 2

x = 45

Other Questions
Hearne Company has a number of potential capital investments. Because these projects vary in nature, initial investment, and time horizon, management is finding it difficult to compare them. Assume straight line depreciation method is used. (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided.) Project 1: Retooling Manufacturing Facility This project would require an initial investment of $4,850,000. It would generate $865,000 in additional net cash flow each year. The new machinery has a useful life of eight years and a salvage value of $1,000,000. Project 2: Purchase Patent for New Product The patent would cost $3,400,000, which would be fully amortized over five years. Production of this product would generate $425,000 additional annual net income for Hearne. Project 3: Purchase a New Fleet of Delivery Trucks Hearne could purchase 25 new delivery trucks at a cost of $115,000 each. The fleet would have a useful life of 10 years, and each truck would have a salvage value of $5,000. Purchasing the fleet would allow Hearne to expand its customer territory resulting in $200,000 of additional net income per year.Required:a. Determine each project's accounting rate of return. (Round your answers to 2 decimal places.)b. Determine each project's payback period. (Round your answers to 2 decimal places.)c. Using a discount rate of 10 percent, calculate the net present value of each project. (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided. Round your final answersto 2 decimal places.)d. Determine the profitability index of each project and prioritize the projects for Hearne. (Round your intermediate calculations to 2 decimal places. Round your final answers to 4 decimal places.) Can someone please help me with math. A parent increases a childs monthly allowance by 20% each year. If the allowance is $8per month now, in about how many years will it take to reach $20 per month PLEASE USE REAL ANSWERS!!! NO LINKS OR I WILL REPORT!!!Why do oligopolists frequently appear to act together? What is the distance between (0, 0) and (0, - 9) on the vertical line Immunization with the childhood DPT (diphtheria, pertussis, and tetanus) vaccine protects against subsequent exposure to tetanus by Group of answer choices generating tetanus-specific memory B cells. producing life-spanning antitetanus IgE antibodies. stimulating quick inflammation upon future exposure. preloading antigen-presenting cells. stopping isotype switching of B cells from IgM to IgA. ill give brainliest!!! please help! Why do clouds appear and disappear? Determine whether the relationship is an inverse variation or not. Explain.A.The product xy is constant, so the relationship is an inverse variation.B.The product xy is not constant, so the relationship is an inverse variation.C.The product xy is not constant, so the relationship is not an inverse variation.D.The product xy is constant, so the relationship is not an inverse variation. PLEASE HELP WILL GIVE BRAINLIEST Which statement describes characteristics of Islamic tughras?OThey contain complex arabesques and interlacedlines.OThey depict the names of common citizens usingcalligraphy.OThey include text and images from epic storiesimportant to Muslims.OThey contain images of plants, animals, and humans. 1When determining the statement of purpose for a database design, what is the most important question toWho will use the database?O Should I use the Report Wizard?How many copies should I print?How many tables will be in the database? Colette and Tycen made a quarts of lemonade to sell by the cup. Tycen's mother made 5 more cups of lemonade for them to sell. Theequation below can be used to find the number of cups of lemonade, c, they can sell when they make a quarts of lemonade.C = 40 + 5What is the greatest number of cups of lemonade Colette and Tycen can sell when q = 3? Convert 27.7 kilometers to centimeters. Which set of numbers could represent the lengths of the sides of a right triangle?O 8, 9, 10O 15, 18, 21O 7, 24, 2509. 11. 14 How did the Enlightenment's theories of government view the role of government? The Sine FunctionA sine curve is periodic. What does this mean?a. the curve goes through one cycle and starts overb. there is no patternc. the amplitude stays the samed. one period equals 180 degreesPlease select the best answer from choices provided Find the scale factor of the similar shapes below. Triangle, Illuminati, Grapes THEY ARE all connected through the power of the eye +4 and no one knows jerry the pineapple is the robot who will kill them all to freedom What is the common ratio?5, -10, 20, -40, 80What is the 15th term of the sequence? When3(x)= 4 is solved for x in terms of w and kits solution is which of the following?