How many solutions does the following linear equation have?
y = -2x -4
y = 1/2x - 5

Answers

Answer 1

Answer:

x=2/5, y=-24/5. (2/5, -24/5).

Step-by-step explanation:

y=-2x-4

y=1/2x-5

----------------

-2x-4=1/2x-5

-2x-1/2x-4=-5

-4/2x-1/2x=-5+4

-5/2x=-1

5/2x=1

x=1/(5/2)

x=2/5

y=1/2(2/5)-5

y=1/5-5

y=1/5-25/5

y=-24/5


Related Questions

Trey has three pairs of Vans, two pairs of Nikes, and four pairs of Adidas shoes in his shoe bin. One morning, the electricity went out and Trey pulls two shoes at random. Remember each pair of shoes counts as 2 shoes.

a) What is the probability that he pulls out two adidas shoes without replacement? Round your answer to the nearest tenth of a percent.

%

b) What is the probability that he pulls out a Vans, decides that's not what he wants, so he replaces it then pulls out two Nike shoes?

Round your answer to the nearest tenth of a percent.

%

Answers

Answer: A) 40%

               B)30%

Step-by-step explanation:

A) becase 4/9 as a percentage is 0.444444% and I rounded it to 0.4% then turned it into 40% cause its outta 100

MARK AS BRAINLEIST

find the degree of the polynomial 2x3+x4-3x+5

Answers

Answer:

7x+5

Step-by-step explanation:

or, 2x3+x4-3x+5

or, 6x+x4-3x+5

or, 10x-3x+5

or, 7x+5

HELPIn order to find the percentage of households in a town that own more than one vehicle, a survey asks 1000 randomly selected drivers at a
gas station how many vehicles are owned in their household. From the results of the survey, it is reported that 67% of households in the town
have more than one vehicle.
Why is this report biased?

Answers

Answer:

This report is biased because most people drive to gas stations.

Step-by-step explanation:

The distance to a gas station is often further than walking distance. Therefore, most people will take a car because it's quicker, and most people go to gas stations to get gas.

Mr. Bonet has a fair coin labeled “heads” and “tails.” He will flip the coin 6 times and record his results. What is the probability that the coin will land face-up on “tails” on all six flips?

Answers

Answer:

The probability of it landing tails on all 6 flips is 1/6 chance.

Please help me fast. I’m confused.

Find the value of x.
168
x = [? ]°

Answers

Answer: 84

Step-by-step explanation:

The horizontal line is the line tangential to a circle. The measure of the missing angle "x" is 84 degrees

Circle geometry.

From the figure given, the horizontal line is the line tangential to a circle.

Given the following parameter

measure of minor arc = 168 degrees

Required

angle at the vertex "x"

Using the theore " angle the vertex is half of the measure of its intercepted arc. Mathematically;

x =1/2 minor arc

x= 1/2 (168)

x = 84 degrees

Hence the measure of the missing angle "x" is 84 degrees

Learn more on circle geometry here: https://brainly.com/question/24375372

#SPJ2

Help pls pls help pls

Answers

Answer:

c

Step-by-step explanation:

Answer:

D. 24.5

Step-by-step explanation:

5x + 8° + 3x - 24° = 180° { Being linear pair}

8x - 16° = 180°

8x = 196°

x = 196° / 8

x = 24.5°

Hope it will help :)❤

Determine if events A and B are independent.
P(A) = 9/20 P(B) = 7/10 P(A and B) = 63/200
A) Dependent
B) Independent

Answers

Answer:

B) Independent

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A) \times P(B)[/tex]

In this question:

[tex]P(A \cap B) = \frac{63}{200}[/tex]

[tex]P(A) \times P(B) = \frac{9}{20}*\frac{7}{10} = \frac{9*7}{20*10} = \frac{63}{200}[/tex]

Since [tex]P(A \cap B) = P(A) \times P(B)[/tex], these events are independent.

find square of (6m-5n) by using formula.​

Answers

Answer:

36m² -60mn +25n²

Step-by-step explanation:

Formula=(a-b)²=a²-2ab+b²

(6m-5n)²

=(6m)²- 2×6m×5n + (5n)²

=36m² -60mn +25n²

find the area of each circle ​

Answers

Answer:

1. 28.26 2. 94.985 3. 113.04 4. 50.24 5. 153.86

Step-by-step explanation:

For the circles that have a long line that is the size of the circle is the diameter so the number for the diameter for example is 6 so divide it by 2 which is 3. Multiply 3 by 3 which is 9 and multiply by 3.14 and its 28.26

For the circles that have a line that goes halfway of the circle its more quick so 5.5 x 5.5 equals 30.25 and multiply by 3.14 and you get 94.985

Solve for the angle denoted by the "?". Round to the nearest tenth.

Answers

Answer:   35.4

====================================================

Explanation:

Let x be the reference angle where the question mark is located.

Opposite this angle x is 27. The adjacent side is 38.

Use the tangent ratio to tie the two sides together

tan(angle) = opposite/adjacent

tan(x) = 27/38

x = arctan(27/38)

x = 35.3947958 .... which is approximate

x = 35.4

Be sure that your calculator is in degree mode. The notation "arctan" refers to "arctangent" which is the same as inverse tangent. Your calculator should have a button labeled [tex]\tan^{-1}[/tex] to help compute this.

I’ll give brainliest if correct!



Question 16 of 43
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
O A. The mean absolute deviation is 14.
O B. The mean absolute deviation is 12.
O C. The mean absolute deviation is 2.
D. The mean absolute deviation is 6.

Answers

Answer:

C. The mean absolute deviation is 2.

Step-by-step explanation:

In order to find the mean absolute deviation, follow the following steps:

Find the absolute distance of each data from the mean. Add the distances so obtained Divide the sum by no of given data to get the mean absolute deviation.

Let's work it out.

STEP: 1

|9 - 14| = 5

|13 - 14| = 1

|14 - 14| = 0

|15 - 14| = 1

|15 - 14| = 1

|18 - 14| = 4

STEP: 2

5 + 1 + 0 + 1 + 1 + 4 = 12

STEP: 3

Mean Absolute deviation [tex] =\frac{12}{6}= 2[/tex]

Evan and two friends go to a farm to pick strawberries. Evan records the number of baskets of strawberries that each person picks in a table.
Evan forgot to record how many strawberries he picked, but he knows that it was the same amount as Jerry and Ann combined.

Answers

hi they but you didn't put the number in for jerry and ann

Step-by-step explanation:

add ann and jerry E= 15 + 12 = 27 so that means that Evan is picked 27 strawberries

HELPPPP will be appreciated PLEASEEEE

Answers

cos(r)=10/26
cos(s)=24/26
sin(r)=24/26
sin(s)=10/26
tan(r)=24/10
tan(s)=10/24
I hope these are right :)

 what is the average of 55 75 20 46 60

Answers

Answer:

51.2

Step-by-step explanation:

You pay 5.65% on the first 110,000 of income and 1.45% in excess of $110,000. Calculate the FICA tax for an employee who earns 60,000 a year

Answers

Answer:

The FICA tax for an employee who earns 60,000 a year is $ 3,390.

Step-by-step explanation:

Given that you pay 5.65% on the first 110,000 of income and 1.45% in excess of $ 110,000, to calculate the FICA tax for an employee who earns 60,000 a year the following calculation must be performed:

60,000 <110,000

60,000 x 0.0565 = X

3,390 = X

Therefore, the FICA tax for an employee who earns 60,000 a year is $ 3,390.

Help pls I have 3 mins

Answers

Answer:

B or (0,8)

Step-by-step explanation:

Answer:

(0,8)

Step-by-step explanation:



What is the value of the expression below when z = 5

Answers

You failed to include the expression.

Express as a trinomial.

Answers

Your answer will be 9x^2 - 3x - 56.

Have a great day! :))

What is the area of the triangle?

Answers

Answer:

144.5

Step-by-step explanation:

Area of a triangle = one half of the base length times the height

The given base length is 17 cm and the given height is 17 cm

Hence, area = [tex]\frac{17*17}{2}[/tex]

17 * 17 = 289

289 / 2 = 144.5

Area = 144.5cm²

Answer: 144.5

Step-by-step explanation:

The answer is correct because, the formula of a triangle is base times height divided by 2. Since the base and height is 17, we multiply 17 times 17. The answer for 17 times is: 289. Now we have to divide it by two. 289 divided by 2 equals: 144.5.

Hope This Helps!

Which of these describes a unique polygon?

A quadrilateral with 3 sides lengths 5 inches long

A triangle with a side length of 6 inches, 7 inches, and 8 inches

A triangle with angles 30, 60, and 90

A triangle with side lengths 5 cm and 4 cm and a 70 angle

Answers

The last one is correct

Help me?!?!?! Giving brainliest

Answers

the answer is 648in, lmk if you need explanations
648 inches I’m pretty sure

what is the discriminant of x^2=-14x-40

Answers

Answer:

Explanation:

x2+14x+40

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:

N1⋅N2=a⋅c=1⋅40=40

and,

N1+N2=b=14

After trying out a few numbers we get N1=10 and N2=4

10⋅4=40, and 10+4=14

x2+14x+40=x2+10x+4x+40

=x(x+10)+4(x+10)

Here (x+10) is common to both terms.

So the factorised form is=(x+4)(x+10)

Find the value of x. Round the length to the nearest tenth of a unit.

Please help!

Answers

Answer:

take 40 degree as reference angle

using tan rule

tan 40 =p/b

0.83=900/x

0.83x=900

x=900/0.83

x=1084.33

x=1084.3(after rounding off to the nearest tenth)

Step-by-step explanation:

Find the missing side of each triangle.

Help please !!

Answers

Answer:

1)12²+9²=225

X=15km

2)12²+=13²

= 169-144

=25

x=5mi


The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x + 111 + 42 = 180 ( sum of all measures is 180 degree)

x + 153 = 180

x = 180 – 153

x = 27 degree

The cost in dollars of making x items is given by the function C(x)=10x+800. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b. What is the cost of making 25 items? c. Suppose the maximum cost allowed is $3300. What are the domain and range of the cost function, C(x)? (In interval Notation)


im struggling with C terribly i Just dont understand it


When you enter a number in your answer, do not enter any commas in that number. In other words if you want to enter one thousand, then type in 1000 and not 1,000. It's not possible to understand what the interval (1,000,2,000) means, so you should write that as (1000,2000).

Answers

9514 1404 393

Answer:

  a) $800

  b) $1050

  c) D: [0, 250]; R: [800, 3300]

Step-by-step explanation:

a) The problem statement tells you the fixed cost is ...

  C(0) = 800 . . . . dollars

__

b) The cost of making 25 items is ...

  C(25) = 10·25 +800 = 250 +800 = 1050 . . . . dollars

__

c) You cannot make fewer than 0 items. The limit on cost means the most you can make is ...

  3300 = 10x + 800

  2500 = 10x

  250 = x . . . . . . . . maximum number of items that can be made

So, the domain of the function -- the values of x to which it pertains -- is ...

  0 ≤ x ≤ 250

In interval notation, this is [0, 250] . . . domain of C(x).

The range of C(x) is the set of cost values the function may have. We already know the minimum is 800. The problem statement tells us the maximum is 3300. The cost may have any value between those limits, so ...

  800 ≤ C(x) ≤ 3300

In interval notation, this is [800, 3300] . . . range of C(x).

_____

Additional comment

Square brackets are used in interval notation when the "or equal to" case is part of the limit.

We could be more specific regarding domain and range, since the domain values are integers only, and the range values are multiples of 10 only. Here, we ignore that little detail.

Question 10 of 10
A clothing store sells T-shirts, t, for $8 a shirt, and shorts, s, for $12 each. The
store earned $180 revenue last month. The store sold three times as many T-
shirts as shorts. Using the method of substitution, how many T-shirts and
shorts did the store sell?
A. t= 15; s = 5
B. t = 12; s = 8
c. t = 5; s = 15
D. t = 8; s = 12

Answers

The answer would be B

The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Hardwood floors cost $11 per square foot. What is the cost of hardwood flooring for the dining room?​

Answers

Answer:

[tex]Cost= \$3520[/tex]

Step-by-step explanation:

Given

[tex]l = \frac{1}{4}in[/tex]

[tex]Unit\ Cost = \$11[/tex] per ft^2

Required

Cost  of dining room

Start by calculating its area.

We have:

[tex]Area = 4l * 5l[/tex] ---- the squares

Substitute [tex]l = \frac{1}{4}in[/tex]

[tex]Area = 4 * \frac{1}{4} * 5* \frac{1}{4}[/tex]

[tex]Area = \frac{5}{4}in^2[/tex]

Convert to [tex]ft^2[/tex]

[tex]Area = \frac{5}{4} * (16ft)^2[/tex]

[tex]Area = \frac{5}{4} * 256ft^2[/tex]

[tex]Area = 320ft^2[/tex]

So, the cost is:

[tex]Cost = Unit\ Cost * Area[/tex]

[tex]Cost= \$11/ft^2 * 320ft^2[/tex]

[tex]Cost= \$11 * 320[/tex]

[tex]Cost= \$3520[/tex]

jazmine made 3 1/3 cups of jam. she will separate the jam into jars that hold 2/5 cup. How many jars of jam can Jasmine make ?

Answers

Given:

Jazmine made [tex]3\dfrac{1}{3}[/tex] cups of jam.

One jar can hold [tex]\dfrac{2}{5}[/tex] cup.

To find:

Number of jars of jam can Jasmine make.

Solution:

We have,

Capacity of each jar = [tex]\dfrac{2}{5}[/tex] cup

Total jam made by Jazmine = [tex]3\dfrac{1}{3}[/tex] cups

                                              = [tex]\dfrac{3(3)+1}{3}[/tex] cups

                                              = [tex]\dfrac{10}{3}[/tex] cups

Now,

[tex]\text{Number of Jars of jam}=\dfrac{\text{Total jam made by Jazmine}}{\text{Capacity of each jar}}[/tex]

[tex]\text{Number of Jars of jam}=\dfrac{\dfrac{10}{3}}{\dfrac{2}{5}}[/tex]

[tex]\text{Number of Jars of jam}=\dfrac{10}{3}\times \dfrac{5}{2}[/tex]

[tex]\text{Number of Jars of jam}=\dfrac{25}{3}[/tex]

[tex]\text{Number of Jars of jam}=8\dfrac{1}{3}[/tex]

Approx the value to the next integer.

[tex]\text{Number of Jars of jam}\approx 9[/tex]

Therefore, Jasmine make 9 cups of jam in which 8 are completely filled and one is filled one third.

a number is 3 1/3 greater than another. If the sum of the numbers is doubled, the result is 19 1/2. What is the smaller number

Answers

Answer:

77/24

The answer for this question is 77/24                                                                                                                                                                                    

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