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)


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Step-by-step explanation:

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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:

The triangle shown below is reflected across the y-axis.
What is the result of this reflection?
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B
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Answer:

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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:

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

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D the sent greater than or equal to 1

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 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 :)

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

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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

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tan(56)/10=1/x

10/tan(56)=x

x=6.745 which rounds to 6.7

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

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

What is the mean of the distribution

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the awnser is 799 by 983

Step-by-step explanation:

hellpppppppppppp...
'

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Answer:

1 1/2

one and one half.

Step-by-step explanation:

Answer:

81/16

Step-by-step explanation:

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

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 [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]

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.

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Answers

Answer:

1.5

Step-by-step explanation:

base x height x 0.5

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

= 2

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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.

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Answers

Answer:

x = 45

Step-by-step explanation:

2x - 56 = 34

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Answer:

x = 45

Step-by-step explanation:

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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.

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

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Answer:

it is linear association

Step-by-step explanation:

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+

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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].

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! :)

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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
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= 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

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:

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Answers

Answer:

z = 20 , x = 5

Step-by-step explanation:

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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:)

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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

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%

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]

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