Solve the system.
x + y -z = 17
y +z = 1
Z= -3
Enter your answer as an ordered triple.

Answers

Answer 1

Answer:

[tex]z = - 3[/tex]

[tex]y - z = 1[/tex]

[tex]y + ( - 3) = 1[/tex]

[tex]y = 4[/tex]

[tex]x + 4 +3 = 17[/tex]

[tex]x = 10[/tex]


Related Questions

It’s system of equations

Answers

search nyo sa wow math ,lalabas Ang sagot nyan

Select multiples of 4. You will select three.

2
4
22
36
42
48

Answers

Answer:

Multiples of 4 are the following:

43648

Step-by-step explanation:

2 is a factor of 4, not a multiple. The rest of the numbers listed are multiples of 2. But only the 3 listed above are multiples of 4.

Answer:

4,36,48

Step-by-step explanation:

The multiples of 4 is: 36,48,and 4 because there all in the multiplication chart.
*Please give brainliest*

Which graph represents the following system of inequalities? y < -3x+5 y < x+2 y < -1

Answers

Answer:

The attached graph represents the system

Step-by-step explanation:

Let us describe the graph of each line

In y < -3x + 5

∵ The sign of inequality without =

∴ The line represents it must be dashed

The slope-intercept form of the inequality is y < m x + b, where m is the slope and b is the y-intercept

∵ y < -3x + 5

∴ m = -3 and b = 5

∴ The direction of the line is to the left and intersect the y-axis at (0, 5)

y < -3x + 5 represented by the green line

∵ The sign of inequality is <, then the shading is under the green line

In y < x + 2

∵ The sign of inequality without =

∴ The line represents it must be dashed

∴ m = 1 and b = 2

∴ The direction of the line is to the right and intersect the y-axis at (0, 2)

y < x + 2 represented by the blue line

∵ The sign of inequality is <, then the shading is under the blue line

In y < -1

∵ The sign of inequality without =

∴ The line represents it must be dashed

∴ m = 0 and b = -1

∴ The line is horizontal and intersects the y-axis at (0, -1)

y < -1 represented by the red line

∵ The sign of inequality is <, then the shading is under the red line

∵ The shading of the three inequalities is under the lines

∴ The solutions of the system of inequalities lie in the common

   shaded part under the three lines

∴ The attached graph represents the system

The graph was plotted and is attached below.

Inequality is the unequal comparison of numbers or expressions.

Given the inequalities: y < -3x+5, y < x+2, y < -1

Graphing the above inequalities using the geogebra online graphing calculator.

The graph is attached below.

Find out more at: https://brainly.com/question/25285332

Show all steps necessary to verify the trigonometric identity:
1 - 2cos^2x = 2sin^2x - 1

Answers

Step-by-step explanation:

please mark me as brainlest

Using trigonometric identity sin²θ+cos²θ=1, the given identity is proved.

The given trigonometric identity is 1-2cos²x = 2sin²x-1.

What are trigonometric identities?

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation. There are various distinct trigonometric identities involving the side length as well as the angle of a triangle.

Using trigonometric identity sin²θ+cos²θ=1

Here, 1-2cos²x = 2sin²x-1

⇒ 1+1=2sin²x+2cos²x

⇒ 2=2(sin²x+cos²x)

⇒ 2=2(1)

⇒ 2=2

LHS=RHS

Therefore, using trigonometric identity sin²θ+cos²θ=1, the given identity is proved.

Learn more about the trigonometric identity here:

https://brainly.com/question/24377281.

#SPJ2

A large wooden box, as shown, has a volume of 4352 ft3. The box is a right square prism with a base with sides that each measure 16 ft. What is h, the height of the box?

Answers

Volume of a Prism

To find the volume of a prism, we can use the following formula:

[tex]V=base\hspace{3}area*height[/tex]

Although this formula is typically used to find the volume of a prism, we can also use it to find the base area or height, as long as we re-arrange it accordingly.

For a rectangular prism, the base area is solved using the following formula:

[tex]A=lw[/tex] ⇒ where l is the length and w is the width

Solving the Question

We're given:

V = 4352 ft³l = 16 ftw = 16 ftWe need to solve for the height of the box.

First, find the base area:

[tex]A=lw\\A=16^2\\A=256[/tex]

Therefore, the base area is equal to 256 ft².

Now, modify the volume formula to isolate the height:

[tex]V=base\hspace{3}area*height[/tex]

⇒ Divide both sides by the base area:

[tex]\dfrac{V}{base\hspace{3}area}=\dfrac{base\hspace{3}area*height}{base\hspace{3}area}\\\\\dfrac{V}{base\hspace{3}area}=height\\\\height=\dfrac{V}{base\hspace{3}area}[/tex]

⇒ Plug in the given values:

[tex]height=\dfrac{4352}{256}\\\\height=17[/tex]

Therefore, the height of the box is 17 ft.

Answer

The height of the box is 17 ft.

Answer:

17

Step-by-step explanation:

Follow the steps to solve the equation using algebra tiles. -4x + 1 = x + (-4)

Answers

Answer:

x=1

Step-by-step explanation:

This can be simplified to -4x+1=x-4

add 4 to both sides

-4x+5=x

Flip it so it is easier to work with

x=-4x+5

add 4x to both sides

5x=5

Divide by 5

x=1

Is this a good app for school
what is 122x1,2222

Answers

Answer:

122x12222 = 1491084

Answer:

It is a good app, when used the right way.

Step-by-step explanation:

Your question isn't properly described. 122x1,2222, is that 1.2222 or was it supposed to be 12,222?

Using the cross multiplication method, which of the following is the solution to 1/(x+1) = 17/(x+2)?

Answers

Answer:

x = -15/16

Step-by-step explanation:

see image.

Cross-multiply and combine like terms. Finally divide to get x all by itself.

see image.

Please help me ASAP
( I will mark brainliest )

Answers

Answer:

13.01d − 2.65

The liked terms are "3.26d + 9.75d". Just add them accordingly.

What is 17/5 as a mixed number in simplest form ?

Answers

Answer:

3 [tex]\frac{2}{5}[/tex]

Answer:

3 and 2/5 i believe

please say if im wrong or right

Step-by-step explanation:

The ratio of girls to boys in a class is 9:6. The average class size in the school is 25 students. Suppose this class is representative of all the students in the school. How many students in this class are boys?

Answers

Step-by-step explanation:

Here is the correct answer...

I hope you understand...

Hellllllllllpppppppp

Answers

Answer:

C

Step-by-step explanation:

Translate up & left then reflect over y axis.

Answer:

C

Step-by-step explanation:

First you have to translate up and then left, then reflect over the y axis.

plss help me plss #3​

Answers

1.8 is the answer for thsi

.
evaluate 16^-3/4
Evaluation of the exponents

Answers

Answer:

I think it is -12

Multiply -0.75 (3 quarters) by 16.

The negative cancels out the positive number.

Since the exponent is not saying multiply the number by itself a number of times, we could make a hypothesis that this is just multiplication.

Normally, this ↑ is not the case, but here, I could make an exception.

I hope this helps you, let me know if you need something else.

find the measure of CF

Answers

Answer:

the exponent of c is vertex to the exponent of C and theme I can solve and finder the digress of 62 and the 47...and then over tool git your toler and the whole number of mCF= 1.89 degrees

Answer:

the exponent of c is vertex to the exponent of C and theme I can solve and finder the digress of 62 and the 47...and then over tool git your toler and the whole number of mCF= 1.89 degree.

step-by-step explanation:

2
Type the correct answer in the box. Use numerals instead of words.
What is the total surface area of an equilateral triangular pyramid with base side lengths of 6 feet and a height of 10 feet?
The total surface area is about
square feet.

107
110
132
93

Answers

The area of the equilateral triangular pyramid is the amount of space on it

The total surface area is 107 square feet

How to determine the total surface area?

The given parameters are:

Base (b) = 6 feet

Slant height (l) = 10 feet

The lateral surface area is calculated using:

L = 1.5bl

So, we have:

L = 1.5 * 6 * 10

Evaluate the product

L = 90

The total surface area is calculated using:

T = L + 0.25√3b^2

So, we have:

T = 90 + 0.25√3 * 6^2

Evaluate

T = 107

Hence, the total surface area is 107 square feet

Read more about areas at:

brainly.com/question/24487155

Answer:

107 sq ft

Step-by-step explanation:

Got it right on Edmentum

Hook me up with a 5 star and a Thanks :)

Find dy/dx in terms of x and y

3x sin y + 2 cos y = sin x​

Answers

[tex]3x\sin y+2\cos y=\sin x[/tex]

[tex]\dfrac{\mathrm d(3x\sin y+2\cos y)}{\mathrm dx}=\dfrac{\mathrm d(\sin x)}{\mathrm dx}[/tex]

[tex]\dfrac{\mathrm d(3x)}{\mathrm dx}\sin y+3x\dfrac{\mathrm d(\sin y)}{\mathrm dx}+\dfrac{\mathrm d(2\cos y)}{\mathrm dx}=\cos x[/tex]

[tex]3\sin y+3x\cos y\dfrac{\mathrm dy}{\mathrm dx}-2\sin y\dfrac{\mathrm dy}{\mathrm dx}=\cos x[/tex]

Solve for dy/dx :

[tex]3\sin y+\left(3x\cos y-2\sin y\right)\dfrac{\mathrm dy}{\mathrm dx}=\cos x[/tex]

[tex]\left(3x\cos y-2\sin y\right)\dfrac{\mathrm dy}{\mathrm dx}=\cos x-3\sin y[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\boxed{\dfrac{\cos x-3\sin y}{3x\cos y-2\sin y}}[/tex]

A shopkeeper buys a dress for $40
She sells it for $48
Work out the percentage increase in the price of the dress.

Answers

Answer:

48 - 40 = $8, there is a $8 dollar increase.

Formula for change of percentage;

changed price

___________ x 100% (100/100)

original amount

Replace those values with the values we found;

40/48 x 100/100 = 20% increase.

Bob is buying the soccer team snacks after their game eight players want cookies and five players want ice cream if the ice cream cost $1.25 each and cookies cost $1.75 each how much will Bob spend on snacks for the team​

Answers

Answer:

the total cost would be $20.25

Step-by-step explanation:

What is the following product?

Answers

Answer:

The answer is the last question (7x to-the-power-of 2 - 72)

Step-by-step explanation:

7x²+72 -6x√56

7x²+72-6x√(14×4)

7x²+72-12x√(14) because√(14×4)=2√14

How do I solve for y ?

Answers

Answer: 52

Step-by-step explanation:

A restaurant manager bought a case of 12 bottles of water. He paid 90p per bottle. He sold 1/4 of the bottles for £2.10 per bottle and the rest of the case for £2.40 per bottle. a) How much profit did he make? b) Write the profit as a percentage.

Answers

Step-by-step explanation:

12 bottles for 0.90 per bottle = 12×0.90 = £10.80 as initial cost.

1/4 of 12 = 12×1/4 = 12/4 = 3 bottles

so, 3 bottles are sold for £2.10 per bottle = 3×2.1 = £6.30

the rest (12-3) 9 bottles are sold for £2.40 per bottle = 9×2.4 = £21.60

so, the total sales was 6.3 + 21.6 = £27.90.

the profit is then sales minus initial cost :

27.9 - 10.8 = £17.10

1% of the initial cost is 10.8/100 = 0.108

how often does 1% fit into the total profit ?

17.1/(10.8/100) = 17.1×100/10.8 = 158.3333333...%

so, the profit is 158.3333333...% of the initial cost.

a formula one racecar driver estimates that he needs to maintain an average speed of 113 miles per hour in order to set a new lap record on an Australian racetrack. since australia uses si units, the average speed will be reported to the driver in kilometers per hour. if the driver successfully maintained an average speed of 113 miles per hour during the lap, what would the report show as his average speed in kilometers per hour? round your answer to the nearest hundredth​

Answers

Answer:

181.82 km/h

Step-by-step explanation:

1 mile = 1.609 km

so 113 miles/hour = 113 * 1.609 = 181.82 km/h

Can someone please help me with this? I have a test tommorow on this subject and I'm very confused. :(

Prism: V = Bh
Cylinder: V = πr²h​

Answers

Answer:

452.16 in. or 144π if the answer needs to be in terms of pi.

Step-by-step explanation:

In this case, all of the information is given to you. You can determine this is a cylinder because of its circular bases. Your height is given on the side as 9in. Your radius is given on the base as 4in. You can tell that this value is the radius and not the diameter because the line only covers half of the circular base. If the line went from one edge to the other, you would need to divide the given value by 2. From there, you can just plug the numbers into the proper equation.

V = πr²h​

V = π(4)²(9)

V = 452.16 or 144π

Based on the video, how many states currently have primary seat belt laws where you can receive a ticket for not wearing a seat belt?
50 States
21 States
31 States
35 States

Answers

Answer:

50 states bb bbdbeu28nefd

20 States Primary enforcement laws for all occupants: 20 states—Alaska, California, Delaware, Hawaii, Illinois, Indiana, Kentucky, Louisiana, Maine, Minnesota, Mississippi, New Mexico, New York, Oregon, Rhode Island, South Carolina, Texas, Utah, Washington and Wisconsin, plus the District of Columbia, Guam, the Northern Mariana

The pH scale measures the acidity of a liquid as a function of its hydrogen ion(H+) concentration pH=-log[H+] A chemist needs to prepare a solution with a pH of three. What H+ concentration should the solution have?

Answers

Answer:

H+ = 0.001

Step-by-step explanation:

3 = -log[H+]

Identity to use: [tex]-log_{b}(a) = log_{b}(1/a)[/tex]

3 = log[ 1 / H+ ]

Identity to use: [tex]10^{log(x)} = x[/tex]

Therefore, I am going raise each side of the equation to the power of 10 to isolate [ 1 / H+ ]

10³ = [tex]10^{log(\frac{1}{H+} )}[/tex]

1000 = 1 / H+

H+ = 1 / 1000

Answer: H+ = 0.001

Which fraction is equivalent to 5/12 + 2/3

Answers

Answer:

5/12 + 8/12 = 13/12 = 1 1/12

Step-by-step explanation:

This is the answer because:

1) You have to add the fractions, in order to add the fractions you have to find the common denominato.

2) The common denominato is 12 because 2 x 4 = 8 and 3 x 4 = 12. Therefore, 2/3 = 8/12.

3) Finally, once you add 5/12 and 8/12, you should get 13/12 which is also equal to 1 1/12.

Hope this helps! :D

A cone-shaped frozen yogurt cup has a radius of 5 cm and a height of
9 cm. How many cubic centimeters of frozen yogurt can the cup hold?
Approximate your answer to the nearest hundredth.

Answers

Answer:

235.62 Cubic centimeters

Step-by-step explanation:

[tex]v = \frac{1}{3}\pi \: r {}^{2} h \: = \frac{1}{3} \times \pi \times 5 {}^{2} \times 9 \\ \\ = 75\pi = 235.62[/tex]

Answer:

235.62 Cubic centimeters

Step-by-step explanation:

have a nice day.

For an object whose velocity in ft/sec is given by v(t) = −t2 + 2, what is its displacement, in feet, on the interval t = 0 to t = 2 secs?

1.333
2.438
2.667
−4

Answers

Answer:

1.333

Step-by-step explanation:

Distance travelled (or displacement) will be the antiderivative of Velocity.

Antiderivative of -t^2 + 2 =

d(t) = -t^3/3 +2t

Now plug in t=2 and t=0 and subtract them.

(-8/3+4)- (0/3 +0)= -8/3+4 = 1.333

Answer:

1.333

Step-by-step explanation:

We know that the displacement function is the integral of the velocity function. We are also given our bounds, 0 seconds to 2 seconds.

x(t) = [tex]\int\limits^2_0 {t^{2} +2} \, dt[/tex] = -t³/3 + 2t (evaluated from zero to two)

= [-2³/3 + 2(2)] - [-0³/3 + 2(0)] = 4/3 = 1.333...

Find the diameter of a circle with an area of 30.25 pi.

Answers

Answer:

11

Step-by-step explanation:

Radius = R, Diameter = D

Area of a circle A = πR² = π(D/2)² = πD²/4

so D² = 4A/π = 4*30.25π/π = 121

[tex]D=\sqrt{121} = 11[/tex]

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