Solve the system of equations and choose the correct answer from the list of options. (4 points)

x + y = −3
y = 2x + 2

five over 3 comma 4 over 3
negative 5 over 3 comma negative 4 over 3
negative 3 over 5 comma negative 3 over 4
3 over 4 comma 3 over 5

Answers

Answer 1

Answer:

The answer is B

Step-by-step explanation:


Related Questions

help me plz god bless

Answers

Answer:

d.

Step-by-step explanation:

The gradient is -5 meaning that it's going downwards as x increases

The y-intercept is 3

Feel free to mark as brainliest :D

Practice:

Complete the table:

a. 1
b. -1
c. 2
d. 0

Please select the best answer from choices provided

Answers

Answer:

D. 0

Step-by-step explanation:

I calculated logically

Select all numbers that are solutions to the inequality k > 5 a 4

b 5

c 6

d 5.01

e 5.2

f 0.5

Answers

Answer: C D E

Step-by-step explanation:

In the triangle below, we can solve to find GH = 16. Explain each
step you would do to solve for GH, and how you knew you could do
each step.
E
2x
Н.
F
3x - 8
G
Edit View Insert Format Tools Table
12pt v Paragraph B IVA e Tv

Answers

Answer:

see explanation

Step-by-step explanation:

HF is a perpendicular bisector of Δ EGH

Then Δ EGH is an isosceles triangle with 2 congruent sides GH and EH , so

GH = EH

3x - 8 = 2x ( subtract 2x from both sides )

x - 8 = 0 ( add 8 to both sides )

x = 8

Then

GH = 3x - 8 = 3(8) - 8 = 24 - 8 = 16

Answer:

From diagram, FG = EF

Solving fo HF and FG by Pythagorean Theorem

HF² = (3x -8)²  -FG²

HF² = (2x)² -FG²

We can eliminate HF² and FG² from BOTH equations because they cancel out.

The 2 equations become (3x -8)² = (2x)²

9x² -48x +64 = 4x²

5x² -48x +64 = 0

Using Quadratic Formula

X1 = 8

X2 = 1.6

********************************************

2x = 16 AND 2x = 3.2

F is 90°

3x -8 = 16 AND 3x -8 = 2.8

Step-by-step explanation:

In a survey of 554 U.S. adults, it is found that 360 favor a ban on stem cell research. Set up the null and the alternative hypotheses to test whether there is sufficient evidence that over 61% favor a ban on stem cell research. If alpha is set to 3.0%, should the null hypothesis be rejected

Answers

Answer:

The null hypothesis will be rejected

Step-by-step explanation:

The null hypothesis is that people who favour ban on stem cell research is less than or equal to 0.61

The alternate hypothesis is that people who favour ban on stem cell research is greater than 0.61

Proportion of population = 0.61

Total events = 360

Sample size = 554

Sample proportion = 360/554 = 0.649

As per test statistics –  

Z = (p-p0)/sqrt {(p0 (1-p0))/n} = (0.649 -0.61)/ {(0.61 (1-0.61))/554}

= 0.039/0.021

= 1.857

P (Z<1.857) = 1- P (Z<1.857) = 1-0.9664 = 0.0336

So alpha value is 0.064.  

Thus, we will reject the null hypothesis  

Ernest plans to attend Community College for two years. tuition at the college is $6,900 each year and it's earned a one-time scholarship for $2,500 he expects to earn $2,000 each year at his part-time job his parents have promise to pay the rest of his tuition how much money will earn his parents pay for two years of tuition ​

Answers

Answer:

7,300

Step-by-step explanation:

6900x2 years=13,800 total tuition.

13800-2500-4000 (2000x2)=7,300

Anyone know how to do this?

Answers

Answer:

1) [tex]2^{\frac{5}{3} }[/tex] = [tex]2^{\frac{5}{3} (3) }[/tex] = [tex]2^{5}[/tex]

2) [tex]2^{\frac{5}{3} }[/tex] = [tex]\sqrt[3]{2^{5} }[/tex] = [tex]\sqrt[3]{32 }[/tex]

3) [tex]2^{\frac{5}{3} }[/tex] = 3.17...

1^2 = 1

2^2 = 4

[tex]2^{\frac{5}{3} }[/tex]  is between 1 and 2 to the power of 2

y=-9x^2+571x-3884 find x

Answers

Answer:

I'm pretty sure it's either 3.1 or 4.1

Step-by-step explanation:

Answer:

x = (571 ± √186217) / 18

x ≈ 7.74840677368558702303.. or 55.69603767075885742140..

x ≈ 7.75 or 55.70

Step-by-step explanation:

y = -9x² + 571x – 3884.

x = (-b ± √b² – 4ac) / 2a

x =

(-(571) ± √((571)² – 4((-9) × (-3884))) / 2(-9)) →

(-571 ± √(326041 – 4(34956))) / -18) →

(-571 ± √(326041 – 139824)) / -18) →

(-571 ± √(186217)) / -18 →

(571 ± √186217) / 18 →

Solve for x 6x + 7 = 19x = 28
Help and I will give brainiest use the photo to answer. Please provide step by step answer explanation

Answers

Answer:

I think X=6

Explanation:

If X was 6 that That would mean 6(6)+7=43 and 19(6)-28=86 Line 6x+7 is about half of line 19x-28 so that means that this right here would be the closest answer. 86/2=43 Hope that helps .

The value of x to satisfy the given case is 2.

What is mid point theorem?

The mid point theorem states that in a triangle the line segment joining the mid point of two sides is always parallel and equal to half of the length of the third side.

As per the given figure the data is as follows,

The line segment of length 6x + 7 is parallel to the side of a triangle of length 19x - 28 such that it divides other two sides equally.

Apply mid point theorem to obtain,

6x + 7 = 1/2(19x - 28)

=> 19x/2 - 6x = 14 - 7

=> 7x/2 = 7

=> x = 2

Hence, the value of x for the given triangle is 2.

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Quadrilateral RUST has a vertex at R(4,2).


What are the coordinates of R'after the translation (x, y) + (x - 1, y - 1).
followed by a dilation by a scale factor of 2, centered at the origin?
O A. (6,1)
O B. (7,3)
C. (6,2)
O D. (8,2)

Answers

Answer: it is C

Step-by-step explanation:

Translation: (4,2) -> (3,1)

Dilation: (3,1) -> (6,2)

The solution is,  the coordinates of point R' are (7, 3) and the correct option is B.

What is transformation?

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

Given:

The coordinate of point R in quadrilateral RUST are (4,2).

R is dilated by a scale factor of 2, centered at the origin, followed by the translation (x, y) + (x - 1, y - 1).

To find:

The coordinates of R' after dilation and translation.

Solution:

If a figure is dilated by a scale factor of 2, centered at the origin, then

(x, y) ⇒ ( 2x, 2y )

We value R(4,2).

R(4,2) ⇒ R_1( 8,4)

The rule of translation is:

(x, y) + (x - 1, y - 1).

Using this rule, we get

R_1( 8,4) ⇒ R' ( 7,3)

Therefore, the coordinates of point R' are (7, 3) and the correct option is B.

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A painter is going to apply a special coating to a triangular metal plate on a new building. Two sides
measure 14.9 cm and 14.7 cm. She knows that the angle between the two sides is 124°. What is the
area of the surface she plans to cover with the coating?

Answers

Answer:

[tex]Area = 90.03cm^2[/tex]

Step-by-step explanation:

Given

[tex]s_1 = 14.9[/tex]

[tex]s_2 = 14.7[/tex]

[tex]\theta = 124[/tex] --- angle in between

Required

The area of the plate

Since [tex]\theta = 124[/tex] is between [tex]s_1[/tex] and [tex]s_2[/tex]

The area is:

[tex]Area = \frac{1}{2} * s_1 * s_2 * \sin(\theta)[/tex]

[tex]Area = \frac{1}{2} * 14.9 * 14.7 * \sin(124.7)[/tex]

[tex]Area = \frac{1}{2} * 14.9 * 14.7 * 0.8221[/tex]

[tex]Area = 90.03cm^2[/tex]

Which choices are equivalent to the fraction below? Check all that apply.
39
A. O
O B. 31
C. 318
✓ D. 1
O E. 30

Answers

Answer:

I believe it'll be A and E.

hope this helps!

Answer:

D and E

Step-by-step explanation:

Using the rules of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , [tex]a^{0}[/tex] = 1

Then

[tex]\frac{3^{9} }{3^{9} }[/tex]

= [tex]3^{(9-9)}[/tex]

= [tex]3^{0}[/tex]  → E

= 1 → D

i need help its worth 30 points i have no clue how to do it and i have 5 mins left

Answers

Answer:

B

Step-by-step explanation:

The correct value of a is 9

A fair coin is flipped 10 times. What is the probability that the first flip comes up heads or exactly five flips come up heads (or both)

Answers

i guess 1/2 since there are 2 sides of a coin

The probability for the given event is P = 0.75

How to get the probability?

The probability for flipping both sides of the coin is exactly the same one because we have an even coin.

The probability of getting the first flip heads up is just 0.5, as we can expect.

The probability that exactly 5 flips come heads up is:

P = C(10, 5)*(0.5)^10 = (0.5)^10*(10*9*8*7*6)/(5*4*3*2*1) = 0.25

Then, adding these two, the total probability is:

p = 0.5 + 0.25 = 0.75

If you want to learn more about probability, you can read:

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evaluate the expression when a =3 and y=2.

y-5a​

Answers

Answer:

y-5a2-5×32-15-13

hope it helps

stay safe healthy and happy.

Answer:

Step-by-step explanation:

1. replace variables with the integers they represent.  2-5(3)

2. multiply 5 * 3 = 15

3. Subtract  2-15

Answer - 13

Find the unknown dimension of a rectangle if its perimeter is 254 meters and one dimension measures 6 meters. Use labeled sketches and equations to model and solve this problem. Show your work. Label your answer with the correct units.

please answer

Answers

Answer:2

Step-by-step explanation:

how do you change a fraction to a unit rate

Answers

Answer:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Step-by-step explanation:

Find the value of x and the value of y

Answers

Answer:

look at the picture i have sent

..........................Pls help math

Answers

Answer:

x=65

Step-by-step explanation:

that is all. It is isoceles triangle so if p is 65, l is also 65

Answer:

65 degrees

Step-by-step explanation:

The two sides of the angle is equal which means it is an isosceles triangle, the value will be 65 degrees

PLEASE HELP I DONT KNOW

Answers

Answer:

8ft

Step-by-step explanation:

Radius is the half of the diameter, which is 16ft in this circle. So half the diameter will be 16÷2 which is 8ft.

MARK ME BRAINLIEST :)))

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

8ft.

Because,

r = 1 d

2

r = 1 × 16

2

r = 8 ft.

Thanks Hope it helps.

De un saco de frutas que contiene 3 naranjas, 2 manzanas, y 3 plátanos, una muestra aleatoria de 2 piezas de se selecciona la fruta. Si X es el número de naranjas e Y es el número de manzanas en la muestra, encuentre
(a) la distribución de probabilidad conjunta de X y Y, muestre la tabla de distribución;
(b) Pruebe que la suma de columnas y renglones nos entregan las distribuciones marginales de X , Y
(c) Calcule P(Y = 0|X = 2).
(d) Demuestre que las variables aleatorias X ,Y no son estadísticamente independientes

Answers

Answer:

speak english plz

Step-by-step explanation:

Find sin 0 a.8/15 b.8/17 c.15/8 d.15/17

Answers

Answer:

d.

Step-by-step explanation:

tan Ф = opp. / adj. = 15/8

hyp = √(8²+15²) = √289 = 17

sin Ф = opp./ hyp = 15/ 17

After 6 months what would be the simple interest earned on an investment of $5,000 be at 6%.

Answers

Answer:

$150

Step-by-step explanation:

I = prt

I = 5000(.06)(.5)

I = 150

If a circle is equally divided into 10 angles, what is the measure of each angle

Answers

Answer:

36°

Step-by-step explanation:

circle has 360°, divide that by 10 to get 36

5/7 ÷ 2/3=?

Is it A?

Is it B?

Is it C?

Or is it D?​

Answers

Answer:

[tex]C.[/tex] 5/7 × 2/3

Step-by-step explanation:


The Ballantyne area has 200 people over the age of eighty-five living in it of these people, 56 of them have a dog, 24 of them have a cat, and 16 of them have both of a person
is chosen at random, find the probability that they have a cat, if it is known they have a dog.

a. 1/2
b.3/7
c.2/7
d.2/25

Answers

C. Is correct because I just took the test

In an examination the following scores were a chief by a group of students:
draw a cumulative frequency graph of the data and use it to find:
a) The median examination mark.
b) How many students score less than 65 marks
c) How many students scored between 50 and 80 marks
d) How many students failed, given that the pass mark is 50
e) The credit mark, mark given that the top 25% of students were awarded credits
f) The interquartile range.

Answers

A!


hope this helps you out

The median of cumulative frequency is 67.86 and the interquartile range is 32.86.

What is median?

The mean is "the middle number is sorter, ascending or descending, list of numbers and can be more descriptive of that data set than the average".

What is interquartile range?

The interquartile range is "measure of where the 'middle fifty' is in data set".

According to the question,

Score               Mid value    Frequency       Cumulative frequency

10 ≤ x < 20            15                       1                                 1

20≤x < 30             25                      3                                 4

30≤x < 40             35                      6                                 10

40≤x < 50            45                       15                               25

50≤x < 60            55                       14                               39

60≤x < 70            65                        28                             67

70≤x < 80            75                         18                              85

80≤x < 90            85                         11                               96

90≤x < 100           95                         4                               100

Uniform interval is 10.

a) The median of examination mark

Frequency = 1+3+6+15+14+28+18+11+4 = 100

Median = [tex]l+\frac{(\frac{N}{2} - m )}{f}[/tex] × c       where l = lower limit of the median class, N = total frequency, m = cumulative frequency of the pre median class,

f = frequency of the median class, c = uniform class interval.  

            = 50 + [tex]\frac{\frac{100}{2} - 25 }{14}[/tex]  × 10

            = 50 + [tex]\frac{50 - 25}{14}[/tex]  × 10

            = 50 +[tex]\frac{25}{14}[/tex] × 10

           = 50 + 1.786 × 10

           = 50 + 17.86  

           = 67.86.

Thus, the median of examination mark is 67.86.

b) The number of students score less than 65 marks.

In order to find the number of students score less than 65 marks sum of all frequency below 65.

= 1 + 3 + 6 + 15 + 14

= 39

Thus, the number of students score less than 65 marks is 39.

c) The number of students scored between 50 and 80 marks

In order to find the number of students scored between 50 and 80 marks only if add frequency between 50 and 80 marks.

= 14 + 28 + 18 + 11

= 71

Thus, the number of students scored between 50 and 80 marks is 71.

d) The number of students failed, given that the pass mark is 50.

In order to find the number of students failed, given that the pass mark is 50 only if add frequency below 50.

= 1 + 3 + 6 + 15

= 25.

Thus,  the number of students failed, given that the pass mark is 50 is 25.

f) The interquartile range

Interquartile range =  Q₃ - Q₁    [In words, difference between upper quartile range and lower quartile range]

Q₁ =  l₁ + [tex]\frac{\frac{N}{4} - m }{f}[/tex] × c  where l₁ is the lower limit of the Q₁ class, m₁ is the cumulative frequency of the pre median class, f₁ is the Frequency of the Q₁ class, c is the class interval, N  is the total frequency.

[tex]\frac{N}{4}[/tex] = [tex]\frac{100}{4} = 25[/tex]; [tex]\frac{3N}{4}[/tex] = 75

     = 40 + [tex]\frac{25 - 25}{6}[/tex] * 10 = 40

Q₁ = 40

Q₃ = l₃ + [tex]\frac{3\frac{N}{4} - m3 }{f3}[/tex]  × c

   = 60 + [tex]\frac{75 - 39}{28}[/tex] × 10

   = 60 + [tex]\frac{36}{28}[/tex] × 10

   = 60 + 1.2857 × 10

   =   60 + 12.857

   = 72.857

Interquartile range = upper quartile range - lower quartile range

                                 = 72.857 - 40

                                 = 32.8571  ≈ 32.86.

Thus, interquartile range is 32.86.

Hence, a) The median of examination mark is 67.86.

b) The number of students score less than 65 marks is 39.

c) The number of students scored between 50 and 80 marks is 71.

d) The number of students failed, given that the pass mark is 50 below 50 is 25.

f)  The interquartile range is 32.86.

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Ms. Jimenez surveyed 430 men and 200 women about their vehicles. Of those surveyed, 160 men and 85 women said that they own a white vehicle.

Find P(White)'.

A. 16/43

B. 11/18

C. 23/77

D. 3/7

Answers

Answer:

Step-by-step explanation:


When factoring the difference of two squares, what will the signs in the parenthesis be

Answers

Answer:

The signs will be + and -

Step-by-step explanation:

Required

The signs in the parenthesis of difference of two squares

Let the expression be:

[tex](x^2 - a^2)[/tex]

Expand

[tex]x^2 - a^2 = x^2 -ax + ax - a^2[/tex]

Factorize

[tex]x^2 - a^2 = x(x -a) + a(x - a)[/tex]

Factor out x - a

[tex]x^2 - a^2 = (x +a)(x - a)[/tex]

See that the sign in front of a is + and - in the parentheses

10. A new fish tank has a volume of 10x2 + 30x -40 cubic inches. Assuming V =
LWH, determine the expressions of the length, width and height of the fish tank.

Answers

9514 1404 393

Answer:

  10, (x+4), (x -1)

Step-by-step explanation:

The given volume expression can be factored as ...

  V = 10x² +30x -40

  = 10(x² +3x -4)

  = 10(x +4)(x -1)

The expressions representing length, width, and height might be ...

  10, (x+4), (x -1)

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