A system of equations is shown.
y = 3x - 2

y = x2

What are the solutions to the system of equations?​

Answers

Answer 1

Answer:

x = 1, y = 1

x = 2, y = 4

Step-by-step explanation:

substitution method:

x² = 3x - 2

x² - 3x + 2 = 0

(x - 2)(x - 1) = 0

x = 2

x = 1


Related Questions

A town has a population of 17000 and grows at 4% every year. What will be the population after 5 years, to the nearest whole number

Answers

Answer:

20400

Step-by-step explanation:

Use a periodic table to calculate the applicable molar mass. Density of water is 1kg/1L.

A solution was made with 300 grams of (C3H5OH) and 500 grams of water.

What is the molarity of this solution?

Question 2 options:

0.19


0.81


10.33M


19 M

Answers

Answer:

What is the molarity of this solution is 0.81

Step-by-step explanation:

Answer option B) 0.81.

A rectangular painting measures 1/2 yards wide and 5/4 yards long find the area of the painting in square yards.

Answers

Answer: 5/8 yards²

Step-by-step explanation:

The painting is in the shape of a rectangle as stated and the formula for finding the are of a rectangle is:

= Length * Width

The are of the rectangular painting is:

= 5/4 * 1/2

= 5/8 yards²

Witten in decimal form:

= 0.625 yards²

find the product of 8(4/7-/18)

Answers

Answer:

keep it simple C

Step-by-step explanation:

Please help. Will give Brainliest!!

Answers

Answer:

a = [tex]\frac{2}{3}[/tex] [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2}{3a}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

3a = 2[tex]\sqrt{2}[/tex] ( divide both sides by 3 )

a = [tex]\frac{2}{3}[/tex] [tex]\sqrt{2}[/tex]

Answer:

we have

sin 45=perpendicular/hypotenuse

1/√2=2/3a

3a=2√2

a=2√2/3=0.94

The area of the base (B) of a shipping box is 14 1 2 in2. The height (h) of the box is 2 1 4 in. When determining the volume of the box, which statements are correct?

Answers

Answer:

[tex]V = 32\frac{5}{8}in^3[/tex]

Step-by-step explanation:

Given

[tex]B = 14\frac{1}{2}in^2[/tex] --- Base Area

[tex]h = 2\frac{1}{4}in[/tex] --- Height

Required

Correct statement to calculate the volume of the box.

No options were given. So, the general explanation is as follows.

Given the base area and the height of the box, the volume is calculated by multiplying the given base area and the height.

So, we have:

[tex]Volume (V) = Base\ Area * Height[/tex]

[tex]V = B *h[/tex]

[tex]V = 14\frac{1}{2} * 2\frac{1}{4}[/tex]

Convert to improper fractions

[tex]V = \frac{29}{2} * \frac{9}{4}[/tex]

[tex]V = \frac{29*9}{2*4}[/tex]

[tex]V = \frac{261}{8}[/tex]

[tex]V = 32\frac{5}{8}in^3[/tex]

Find the
3 m
Diameter=
Circumference =
Area =

Answers

Answer:

Answers below

Step-by-step explanation:

Radius = 3m

Diameter:

d = 2r

d = 2(3m)

d = 6m

Circumference:

c = 2πr

c = 2π(3m)

c = 6π m

c = 18.85 m

Area:

A = 2πr^2

A = 2π(3m)^2

A = 18π m^2

A = 56.55 m^2

Please mark brainliest if this helped

Please mark brainliest if this helped

PLEASE HELP ASAP f(x) = x2 What is g(x)?

O A. g(x) = (4x)2
O B. g(x) = 1/4x2
O c. g(x) = 4x²
O D. g(x) = 16x²

Answers

Answer:

c. g(x) = 4x^2

Step-by-step explanation:

From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.

We can then look and see that g(1) = 4 as shown by the point given to us on the graph.

To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e

Option C:

once we plug in 1 for x, our equation looks like

4(1)^2.

1^2 = 1, and 4(1) = 4,

so g(1) = 4. and our point is (1,4).

This is the same as the graph so this is the CORRECT answer.

If you want to double check, you can still find g(1) for option D and verify that it is the WRONG answer.

Option D:

once we plug in 1 for x, our equation looks like

16(1)^2

1^2 = 1, and 16(1) = 16,

so g(1) = 16. and our point is (1,16).

This is different than the graph so this is the WRONG answer.

Which geometric term best describes each figure

Answers

Answer:

Parallel lines

Step-by-step explanation:

parallel lines are lines that dont touch

3x+-2y=-6
5x-2y=7
how do i solve this Elimination pls

Answers

Answer:

[tex]x=\frac{13}{2}, y=\frac{51}{4}[/tex]

Step-by-step explanation:

[tex]We\ are\ given,\\3x-2y=-6\\5x-2y=7\\Considering\ this\ system\ of\ equations,\\Let\ 3x-2y=-6\ be\ E_1\\Let\ 5x-2y=7\ be\ E_2,\\Hence,\\Multiplying\ E2\ with\ -1, we\ get:\\3x-2y=-6\\-1(5x-2y)=7*-1\\Hence,\\3x-2y=-6\\-5x+2y=-7\\Now,\\Lets\ add\ E_1\ and\ E_2\ together\\Hence,\\(3x-2y)+(-5x+2y)=(-6)+(-7)\\Hence,\\3x-2y-5x+2y=-13\\Arranging\ And\ Adding\ Like\ terms,\ we\ have:\\3x-5x-2y+2y=-13\\Hence,\\-2x+0y=-13\\-2x=-13\\x=\frac{-13}{-2}=\frac{13}{2}[/tex]

[tex]Now,\ we\ can\ substitute\ x=\frac{13}{2}\ in\ E_1\ or\ E_2,\\But,\\Here,\ we'll\ substitute\ it\ in\ E1,\\Hence,\\Substituting\ x=\frac{13}{2}\ in\ E1,\ we\ have:\\3*\frac{13}{2}-2y=-6\\\frac{39}{2}-2y=-6\\-2y=-6- \frac{39}{2}\\-2y=\frac{-12-39}{2}\\-2y=\frac{-51}{2}\\y=\frac{-51}{2*-2}=\frac{51}{4}\\Hence,\\x=\frac{13}{2}, y=\frac{51}{4}[/tex]

Two stakes are holding a small blimp in place. Stake A measures

an angle of elevation of 49° and Stake B measures an angle of

elevation of 58º. If the string attached to Stake A has a length of

148 feet, what is the length of the string attached to Stake B?

Answers

Answer: 131.7 ft

Step-by-step explanation: use 148 as side measure b, then solve for measure of side a

with two given angles and one given side, use law of sines.

a = b•sin(A)/sin(B) = 131.71071

c = b•sin(C)/sin(B) = 166.89278

if you want to find angle measures:

180-A-B

180-49-58=73

C=73

The length of the string attached to stake B is 166.3 feet.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

An angle of elevation of stake A = 49°

The length of the string attached to stake A,a = 148 feet

An angle of elevation of stake B = 58°

Let the length of the string attached to stake B be b.

Then by law of sines,

[tex]\frac{Sine A}{a}=\frac{Sine B}{b}[/tex]

On substituting the above values,

⇒ [tex]\frac{Sine 49}{148}=\frac{Sine 58}{b}[/tex]

⇒ [tex]b=\frac{(Sine 58)(148)}{Sine49}[/tex]

⇒ [tex]b=\frac{(0.8480)(148)}{0.7547}[/tex]

⇒ [tex]b=166.29[/tex] ≈ [tex]166.3[/tex]

Hence we can conclude that the length of the string attached to stake B is 166.3 feet.

Learn more about trigonometry here

https://brainly.com/question/13098194

#SPJ2

Condense logarithmic equation

Answers

Answer:

logm^3

Step-by-step explanation:

logm^5-logm^2

logm^5/m^2

log(m^5-2)

logm^3

I need to know is One percent is greater than zero percent

Answers

Answer:

yes 1% is greater than 0% because 0 is nothing and 1 will always be greater than 0 unless there is something i dont know about UwU

Step-by-step explanation:

Sabendo que 12 é raíz de p(x)=x²–mx+6 determine o valor de m A)25 B)2 C)14 D)12,5 E)7,5

Answers

Answer:

b

Step-by-step explanation:

Two fish tanks have measurements as shown. Which tank has a greater volume? How much greater is its volume?

Answers

Answer: All you need is to measure your fish tank's length (from side to side), height (from top to bottom of the tank), and depth (from front to back) and you can figure out how much water your aquarium holds! Tank Width: Numbers only, please. The width of an aquarium is the distance across the front.

Step-by-step explanation:

What is the area of the square?
5 cm
200 cm?
O 100 cm
O 25cm
2
O 60cm
I need how you did it too

Answers

Answer:

100cm^2

Step-by-step explanation:

5×2=10 which is one side

base×height=area

10×10=100

HELP PLEASE HELPPPPPP MEEE WITH THISSS

Answers

9514 1404 393

Answer:

  CEFA

Step-by-step explanation:

The perimeter is twice the sum of the side lengths.

  P = 2(L+W)

__

1) P = 2(2x +(3x+2)) = 2(5x +2) = 10x +4 . . . . . letter C

2) P = 2((4x+1) +x) = 2(5x +1) = 10x +2 . . . . . . . letter E

3) P = 2(7 +(x+5)) = 2(x +12) = 2x +24 . . . . . . . letter F

4) P = 2(5 +(4x-3)) = 2(4x +2) = 8x +4 . . . . . . . letter A

The code word is CEFA.

Using the standard normal table, the probability that Seth’s light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is about

Answers

Answer:

How many standard deviations above the mean is 14,500 hours? 1.25 1.5 2.5 Using the standard normal table, the probability that Seth's light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is about ✔ 89% .

Answer:

89%

Step-by-step explanation:

brainliest please

HELP pleaseeeeeeeeeeeee

Answers

Answer:

305 ft :)

Step-by-step explanation:

Evaluate F (-5) and f(2) without a calculator 

Answers

Answer:

f(x) = 3x2 + 5 and y = 3x2 + 5

Step-by-step explanation:

The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5.

Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping. 2/3 of the caramel apples are covered with peanuts. 1/5 are covered with chocolate chips. 1/10 are covered with coconuts
The rest are covered with sprinkles. How many caramel apples are covered with sprinkles?

Answers

Answer:

Step-by-step explanation:

HELPPPPPPPPPPPPPP MEHHHHHHHHHHHH I HAVE A D+ AND GRADE GO OUT THIS FRIDAY PLZZZZZZZZZ HELPPPPPPPPPPP

Answers

2, 3, 4, and 5 are correct.

The vertices of trapezoid ABCD are A(3,-2), B(7,-2), C(8,- 7), and D(1, - 7). Graph ABCD and
A'B'C'D', its image after a reflection across the x-axis.

Answers

Answer:

B

Step-by-step explanation:

When reflecting a figure over the x-axis, flip the sign of the y-coordinates for the vertices.

For this figure, trapezoid ABCD, the vertices are:

A (3, -2)

B (7, -2)

C (8, -7)

D (1, -7)

Flipping the signs of the y-coordinates gives us:

A (3, 2)

B (7, 2)

C (8, 7)

D (1, 7)

The only graph that has trapezoid A'B'C'D' with vertices matching these four values is the graph for B, so the answer is B.

Please help I’ll give brainliest

Answers

Answer:

its £91 - £27.30 = £63.70

Step-by-step explanation:

£63.70 is how much she will pay

Which one of these equations has one solution, and which has no solutions? (Math)

Answers

One solution means that x will only equal one number.

Many solutions means that no matter what number you replace x with, the equation will still be true.

No solution means that no matter what number you replace x with, the equation will be false, as both sides will not match.

One solution: x - 2 = 12

Check: Isolate the variable, x. Add 2 to both sides. Note the equal sign, what you do to one side, you do to the other:

x - 2 (+2) = 12 (+2)

x = 12 + 2

x = 14

Many solution: x + 3 = 3 + x

Check: Plug in numbers for x. If no matter what number you plug in, the equation is true, there is infinite amount of solutions:

If x = 1:

1 + 3 = 3 + 1

4 = 4

If x = 2:

2 + 3 = 3 + 2

5 = 5

etc.

No solution: x - 1 = x + 5

Check: No matter what number you plug in for x, both sides of the equation will not match. Check:

If x = 1:

1 - 1 = 1 + 5

0 ≠ 6

If x = 2:

1 - 2 = 2 + 5

-1 ≠ 7

etc.

~

Solve for y.

2 (y + 3) = 5y

Answers

Answer:

y=2

Step-by-step explanation:

Answer:2

Step-by-step explanation:i got it right thats all i know.can i get a branliest at least please.

Write an equation for the line in slope-intercept
form.

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

Two different right cones are being considered by a design team to hold one liter (1000

cubic centimeters) of oil. Design A has a height that is double the diameter of the base.

Design B has a height that is triple the diameter of the base. Which design has a smaller

surface area? What percent less is that surface area?

Answers

Answer:

The surface area of Design A is smaller than the surface area of Design B.

The area of Design A is 94.65% of the Design B.

Step-by-step explanation:

The area of a right cone is given by the sum of the circle area of the base and the lateral area:

[tex] A = \pi r^{2} + \pi rL [/tex]   (1)

Where:

r: is the radius

L: is the slant height  

The slant height is related to the height and to the radius by Pitagoras:

[tex] L^{2} = H^{2} + r^{2} [/tex]  

[tex] L = \sqrt{H^{2} + r^{2}} [/tex]    (2)

By entering equation (2) into (1) we have:

[tex] A = \pi r^{2} + \pi r(\sqrt{H^{2} + r^{2}}) [/tex]  

Now, let's find the area of the two cases.

Design A: height that is double the diameter of the base, H= 2D = 4r

[tex] A_{1} = \pi r^{2} + \pi r(\sqrt{(4r)^{2} + r^{2}}) = \pi r^{2}(1+ \sqrt{17}) [/tex]  

The volume of the cone is:

[tex]V = \frac{1}{3}\pi r^{2}H[/tex]

We can find "r":

[tex] V = \frac{1}{3}\pi r^{2}(4r) = \frac{4}{3}\pi r^{3} [/tex]

[tex] r = \sqrt[3]{\frac{3V}{4\pi}} = \sqrt[3]{\frac{3*1000}{4\pi}} = 6.20 cm [/tex]

The area is:

[tex] A_{1} = \pi (6.20)^{2}(1+ \sqrt{17}) = 618.7 cm^{2} [/tex]  

Design B: height that is triple the diameter of the base, H = 3D = 6r                  

The radius is:

[tex] r = \sqrt[3]{\frac{3V}{6\pi}} = \sqrt[3]{\frac{3*1000}{6\pi}} = 5.42 cm [/tex]  

The area is:

[tex]A_{2} = \pi r^{2} + \pi r(\sqrt{(6r)^{2} + r^{2}}) = \pi r^{2}(1 + \sqrt{37}) = \pi (5.42)^{2}(1 + \sqrt{37}) = 653.7 cm^{2}[/tex]  

Hence, the surface area of Design A is smaller than the surface area of Design B.

The percent of the surface area of Design A is less than Design B by:

[tex] \% A = \frac{618.7 cm^{2}}{653.7 cm^{2}}\times 100 = 94.65 \% [/tex]

Therefore, the area of Design A is 94.65% of the Design B.

                         

I hope it helps you!

A plane flies 220 miles in an hour with the jet stream. The return flight against the jet stream to the the original hangar takes 2
hours. Which system of linear equations can be used to find the rate of the jet stream and the speed of the plane?
A)
x + y - 440
x - y - 110
B)
x + y = 220
x-y-110
9.
x + y = 220
x+y=110
D)
x + y = 220
x - y = 220

Answers

Answer:

B

Step-by-step explanation:

PLS
HELP
ILL
GIVE
MORE
IF
ITS
RIGHT

Answers

Answer:

hello its me again and im trying to help you kid

Step-by-step explanation:

The answer to ur question is b

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