Mathematics High School

Which of the following values of x and y are solutions of the
system of inequalities shown below?
x + 3y < 16
x+y > 10

Answers

Answer 1

Answer:

B. x = 9, y = 2

Step-by-step explanation:

You can just check the values:

A. x = 2, y = 8

x + 3y = 2 + 3×8 = 26 not <16 ⇒ NOT these values

B. x = 9, y = 2

x + 3y = 9 + 3×2 = 15 <16

x + y = 9 + 2 = 11 >10

YES, x = 9, y = 2 are solutions of the system of inequalities

C. x = 1, y = 5

x + 3y = 1 + 3×5 = 16 not <16 ⇒ NOT these values

D. x = 7, y = 2

x + 3y = 7 + 3×2 = 13 <16

x + y = 7 + 2 = 9 not >10 ⇒ NOT these values

Related Questions

y = 4x + 8; y = –x + 3

Answers

Answer:

y= -12

Step-by-step explanation:

4x+8 = -x+3 -> Find x by using all information

5x=-5 -> Simplify

x=-1 -> Solve

y=-12 -> Plug in to find y

Please help it's due in 1 hr and I don't understand;-;

Answers

Answer:

1. x=6 y=7

hope that helps!

A baseball is hit from an initial height of 3 feet and reaches a maximum height of 403 feet. Which function could be used to model this situation, where is the height, in feet, after t seconds?

Answers

Answer:A. h(t) = -16(t - 403)^2 + 3

B. h(t) = -16(t - 5)^2 + 3

C. h(t) = -16(t - 3)^2 + 403

D. h(t) = -16(t - 5)^2 + 403

Step-by-step explanation:

Which equation represents a parabola with the focus at (0, -1) and
the directrix y
= 1?
(1) x2 = -8y
(3) x2 = Sy
(2) x2 = - 4y
(4) x2 = 4y

Answers

Answer:

Step-by-step explanation:

The vertex is halfway between focus and directrix, at (0,0).

The equation has the form y = ax².

Focal length p = distance between focus and vertex = 1

p = 1/|4a|

1 = 1/|4a|

|a| = ¼

The focus lies below the vertex, so the parabola opens downwards and a<0.

y = -¼x²

Equation represents a parabola with the focus at (0, -1) and

the directrix y=1 is [tex]x^2=-4y[/tex]

Given :

a parabola with the focus at (0, -1) and the directrix y= 1

The standard equation of parabola is [tex]y-k=\frac{1}{4p} (x-h)^2[/tex]

Focus is at (0,-1)

The midpoint of focus and directrix is the vertex

Directrix is at y=1

Midpoint of (0,-1) and y=1 is (0,0)

So the vertex is (0,0) that is our (h,k)

Now we find the value of p

The distance between vertex (0,0) and focus (0,-1) is the value of p

focus and vertex are 1 unit away. So p=-1

we got h=0 and k=0 and p=-1

Replace all the value in the standard equation

[tex]y-0=\frac{1}{4(-1)} (x-0)^2\\y=\frac{-1}{4} x^2\\4y=-x^2\\x^2=-4y[/tex]

Equation represents a parabola with the focus at (0, -1) and

the directrix y=1 is [tex]x^2=-4y[/tex]

Learn more : brainly.com/question/12582328

A rectangular plot is 35m long and 30 m broad. A road of uniform width of 2.5m runs along the boundary of the plot inside it. Find the cost of paving the road with bricks at Rs. 10 per m2.

Answers

Answer:

In ko add krne k baad 10 se multiple kro

Answer:

If the sum of two numbers is 128band their difference is 16 then find the number

please help me with this

Answers

Answer:

i think its the second one

Step-by-step explanation:

Taya is on the track team. For practice, she runs 2.5 miles each day. At the
end of 14 days, how many total miles will Taya run?

Answers

Answer:

35 miles

Step-by-step explanation:

Answer:

35 miles

Step-by-step explanation:

2.5 x 14

Reid is taking piano and trumpet lessons. He likes the piano more, and last month
practiced the piano 5 hours for every 3 hours he practiced the trumpet.
Pick the diagram that models the ratio in the story.
piano
trumpet
piano
trumpet
If Reid spent 4 more hours practicing the piano than the trumpet last month, how many
hours did he spend practicing the piano?

Answers

Answer:

he would have spent 10 hours on the piano.

Step-by-step explanation:

every time he practices he practices two more hours on the piano then on the trumpet times that by two and you have your answer

Pleasee answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:3.6

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

Distance = √(x2 - x1)² + (y2 - y1)²

√(5 - 3)² + (-2 - 1)²

√13 = 3.605

good luck, i hope this helps :)

5 divided by what gets you 0.60

Answers

Answer:

Step-by-step explanation:

12, pls mark as brainliest!!!!

anyoneeee knowww this is math i don’t know what it is

Answers

Answer:

Obtuce scalene

Step-by-step explanation:

Becca is painting a birdhouse (rectangular prism) that has a height of 13cm, a width of 5 cm, and a length of 8cm. How much paint will she need if she only uses 1 coat? 26 sq. cm 0418 sq. cm 0 208 sq. cm

Answers

Answer:coo

Step-by-step explanation:Cooke.

The amount of paint which will Becca need to paint the birdhouse in 1 coat is 418 cm².

What is surface area?

Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.

The surface area of rectangular prism can be given as,

[tex]SA=2(wl+hl+hw)[/tex]

Here, (w) is the width, (h) is the height and (l) is the length of the prism.

Becca is painting a birdhouse. The shape of the birdhouse is similar to rectangular prism with dimensions as, height of 13cm, a width of 5 cm, and a length of 8cm.

Now Becca wants to paint this house using 1 coat. As this paint has to be cover each surface of the house. Thus the amount of total paint should be equal to the surface area of the house.

Here, the dimensions of house is as, height of 13cm, a width of 5 cm, and a length of 8cm. Therefore the surface area of it is,

[tex]SA=2(5\times8+13\times8+13\times5)\\SA=418\rm cm^2[/tex]

Hence, the amount of paint which will Becca need to paint the birdhouse in 1 coat is 418 cm².

Learn more about the surface area here:

https://brainly.com/question/20771646

A baker has 3.69 pounds of pecan pieces. He needs to divide the pecan pieces into equal portions for 3 batches of oatmeal pecan cookies. Which picture represents the weight of the pecan pieces he will use for each batch of cookies?

Answers

Answer:

There isnt any picture

Step-by-step explanation:

I would love to help you but there is no picture

PLEASE HELP! IM ALMOST DONE WITH THIS ASSIGNMENT PLSSS HELPP ILL GIVE BRAINLIEST SHOW UR WORK

question: solve the solution using substitution.

Answers

Answer:

x = -3

y = -8

Step-by-step explanation:

2y = x - 13

3x = y - 1; let y = 3x + 1

substitute to solve for 'x':

2(3x + 1) = x - 13

6x + 2 = x - 13

5x + 2 = -13

5x = -15

x = -3

solve for 'y':

3(-3) = y - 1

-9 = y - 1

-8 = y

Answer:

(-3,-8)

Step-by-step explanation:

Get one of the variables by themself.

3x = y-1

y = 3x+1

Plug that equation into the other one

2(3x+1) = x-13

Distribute the 2 to 3x+1

6x+2 = x-13

Combine like terms

6x+2 = x-13

-x -x

5x+2 = x-13

-2 -2

5x = -15

Divide by 5 on both sides

5x = -15

÷5 ÷5

x = -3

Find y

3(-3) = y-1

-9 = y-1

+1 +1

y = -8

1) Expand and simplify the following:
a)3(x squared plus 3x cubed - 2)

Answers

Answer:

3x³ + x² - 2

Step-by-step explanation:

a) 3(x squared plus 3x cubed - 2)

x squared = x²

3x cubed = 3x³

3(x squared plus 3x cubed - 2)

= 3(x² + 3x³ - 2)

= 3x² + 9x³ - 6

Rearrange according to power

= 9x³ + 3x² - 6

When the expression is divided by 3, it is equivalent to

3x³ + x² - 2

Miranda will have 500 guests at her Sweet Sixteen party. She conducted a random survey of 50 guests to determine how many of each type of drink should be purchased for the party. The results of the survey are shown below.

24 students chose soda
16 students chose water
10 students chose juice
Based on the survey, which of these is the best prediction of the drinks wanted by the 500 guests?

Answers

Answer:

240 sodas, 160 water, 100 juice

Step-by-step explanation:

multiply everything by 10

Find the value of 2.8 + 6.5

Answers

Answer:

Step-by-step explanation:

2.8 + 6.5 = 9.3

Answer:

9.3

Step-by-step explanation:

2.8+6.5=9.3

You'd use addition to solve this

Please help! will give brainliest!
Given right triangle ABC with altitude BD drawn from vertex B to hypotenuse AC, find the lengths of AD, BD, and CD.
Keep as improper fraction

Answers

Answer:

AD = 3

BD = 10

CD = 17

Step-by-step explanation:

The requires side lengths are:

[tex]AD = \frac{49}{25}[/tex]

[tex]BD = \frac{168}{25}[/tex]

[tex]CD = \frac{576}{25}[/tex]

Considering triangle BDC, we have:

[tex]BC^2 = BD^2 +CD^2[/tex]

This gives

[tex]24^2 = BD^2 +(25 - AD)^2[/tex]

[tex]576 = BD^2 +(25 - AD)^2[/tex] --------- (1)

Considering triangle ABD, we have:

[tex]7^2 = BD^2 + AD^2[/tex]

[tex]49 = BD^2 + AD^2[/tex] ---- (2)

Subtract (2) from (1)

[tex]576 - 49 = BD^2 -BD^2 +(25 - AD)^2 - AD^2[/tex]

[tex]527 = (25 - AD)^2 - AD^2[/tex]

Expand

[tex]527 = 625 - 50AD + AD^2 - AD^2[/tex]

[tex]527 = 625 - 50AD[/tex]

Collect like terms

[tex]50AD = 625 - 527[/tex]

[tex]50AD = 98[/tex]

Divide both sides by 50

[tex]AD = \frac{98}{50}[/tex]

Reduce fraction

[tex]AD = \frac{49}{25}[/tex]

Recall that:

[tex]49 = BD^2 + AD^2[/tex]

So, we have:

[tex]49 = BD^2 + (49/25)^2[/tex]

[tex]49 = BD^2 + 2401/625[/tex]

Collect like terms

[tex]BD^2 = 49 - 2401/625[/tex]

Take LCM

[tex]BD^2 = \frac{625 *49 - 2401}{625 }[/tex]

[tex]BD^2 = \frac{28224}{625}[/tex]

Take the square roots of both sides

[tex]BD = \frac{168}{25}[/tex]

Also, we have:

[tex]CD = 25 - AD[/tex]

This gives

[tex]CD = 25 - \frac{49}{25}[/tex]

Take LCM

[tex]CD = \frac{625 - 49}{25}[/tex]

[tex]CD = \frac{576}{25}[/tex]

Hence, the requires side lengths are:

[tex]AD = \frac{49}{25}[/tex]

[tex]BD = \frac{168}{25}[/tex]

[tex]CD = \frac{576}{25}[/tex]

Answers

Answer:

5+8

Step-by-step explanation:

find the mean of the data in the pictograph

Answers

Answer:

16 is the mean

Step-by-step explanation:

I gave you the answer, no problem..

(4x)
(5x - 270°
Type of pair: CONGRUENT
X =

Answers

Answer:

=20x2−1080x

Step-by-step explanation:

Because look =(4x)(5x+−270)

=(4x)(5x)+(4x)(−270) then you will get =20x2−1080x

Drag each tile to the correct box.
Arrange the steps to perform this subtraction operation in the correct order.

(1.93 × 107) − (9.7 × 106)

1: (1.93 x 10^7) - (9.7 x 10^6)
2: 0.96 x 10^7
3: (1.93 x 10^7) - (0.97 x 10^7)
4: 10/10 (0.96 x 10^7)
6: (1.93 - 0.97) x 10^7
7: (1.93 x 10^7) - 10/10 (9.7 x 10^6)
8: 9.6 x 10^6

Answers

Answer:

A, D, C, F, B, G

Step-by-step explanation:

The correct order of the given expressions is:

1: (1.93 x 10⁷) - (9.7 x 10⁶)

3: (1.93 x 10⁷) - (0.97 x 10⁷)

6: (1.93 - 0.97) x 10⁷

2: 0.96 x 10⁷

4: 10/10 (0.96 x 10⁷)

7: (1.93 x 10⁷) - 10/10 (9.7 x 10⁶)

8: 9.6 x 10⁶

What is an expression?

In mathematics, an expression is a combination of one or more numbers, variables, and mathematical operations that can be evaluated to produce a value or result.

The correct order to perform the subtraction operation is:

Write out the problem: (1.93 x 10⁷) - (9.7 x 10⁶)

Subtract the second number from the first number (ignoring the scientific notation): (1.93 - 0.97) x 10⁷

Simplify the subtraction to get the result in scientific notation: 0.96 x 10⁷. Convert the result to standard scientific notation: 9.6 x 10⁶.

To know more about an expression follow

https://brainly.com/question/29201136

#SPJ2

What is the image point of (1, 4) after a translation left 5 units and down 3 units?

Answers

Answer:

(-4,1)

Step-by-step explanation:

for x you do:

1 - 5 = -4

for y you do:

4 - 3 = 1

so it is (-4,1)

14.6 is the geometric mean between a and 9. Find a to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

You have a carton of 48 Easter eggs left from the weekend. You check the weight of the
carton and it weighs 28 pounds. If you give your 5 brothers 11 of your eggs, how much
would their carton weigh?

Answers

Answer:

around 6 and a half pounds

Can someone please helppppp meeeeeeeee

Answers

Answer: AB is (-1, -11

CD is (0, -1)

EF is (-12, 5)

Step-by-step explanation:

What is the answer?

Answers

can we see the number onna chart .

what is a polynomial expression?

Answers

Step-by-step explanation:

a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7.

kevin buys a lether jacket listed for $190 he receives a 15% discount at the register what is the new price of the lether jacket.

Answers

Answer:

161.50

Step-by-step explanation:

Answer:

take $190 and multiply it by 0.15 (28.5) and subtract that from $190= $161.50

Step-by-step explanation:

PLZ MAKE ME BRAINLIEST TRYNG TO REACH TOP RANK ON LEADER BOARD

Help pls!! Find the value of x and the perimeter of rhombus ABDC

Answers

Answer:

it is the first one

Step-by-step explanation:

Answer:

x = 7

Perimeter = 44

Step-by-step explanation:

All 4 sides of a rhombus are congruent so their lengths are equal.

Therefore, 2x - 3 = x + 4 or x = 7

The length of the side x + 4 = 11

The perimeter is 4 x 11 = 44

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Which of the following values of x and y are solutions of the system of inequalities shown below? x + 3y < 16 x+y > 10

Answers

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Which of the following values of x and y are solutions of the
system of inequalities shown below?
x + 3y < 16
x+y > 10