Without graphing, classify the system of equations as either consistent or inconsistent.
−7x+8y=9

21x/8−3y=−6

Answers

Answer 1
How you know if a system is consistent or inconsistent or dependent without graphing:

If a consistent system has a infinite number of solutions, it is dependent. When you graph the equation, both equations represent the same line. If a system has no solution, it is said to be inconsistent. If the graphs of the lines do not intersect, the graphs are parallel and there is no solution.

Hope this helps.

Related Questions


Find the value of x and y.
(In picture)

Answers

Answer:

x is 4, and y is 3

Step-by-step explanation:

a. A teacher has 5 rulers. Each
ruler is one foot long and 3 of
them are plastic. What is the total
length of the rulers if they are
laid end to end?
Х
=

Answers

Answer:

5

Step-by-step explanation:

Since each is 1 foot long and there is 5, then, the total length is 5

Does anyone know this?

Answers

D E would most likely be 8,6

Answer: 8.6?

Step-by-step explanation:

the local library raised money by having a used book Rebecca volunteered to help. her task was to stick price labels on each of the 198 books on a bookshelf in 5 minutes Rebecca labeled 18 books at this rate what was the total number of minutes rebecca needed to label all 198 books

Answers

Answer:

the local library raised money by having a used book Rebecca volunteered to help. her task was to stick price labels on each of the 198 books on a bookshelf in 5 minutes Rebecca labeled 18 books at this rate what was the total number of minutes rebecca needed to label all 198 books

The Washington High key club is selling brownies and chocolate chip cookies to raise money. Their table only has room for 100 baked goods. Previous bake sells has taught them to plan to bake at most 30 brownies and at least 50 cookies. Write and graph a system of inequalities to represent the possible number of baked goods.

Answers

Step-by-step explanation:

Let x - brownies, y - cookies.

According to given w have following inequalities

Their table only has room for 100 baked goods:

x + y ≤ 100

Plan to bake at most 30 brownies and at least 50 cookies:

x ≤ 30y ≥ 50

See attached for the graphical solution

The solution is within the marked boundaries.

Read the excerpt from "Healthy Eating."

If anything gets in the way of our good eating, it's lifestyle. When you get home from work late, why spend an hour in front of the stove when you can spend two minutes at the microwave? And doesn't that oatmeal box claim to be a good source of calcium for our kids, never mind the small print listing 14 grams of sugar? A small soda at the movies could satisfy a family of four. Even schools have vending machines.

What does the author think is responsible for people's poor eating habits?

A They do not know how to correctly read the nutrition information on food packages.
B They do not know how to prepare healthy meals that are both inexpensive and quick.
C They often choose foods that are quick and convenient instead of ones that are healthy.
D They spend time thinking about work and entertainment instead of thinking about food.

Answers

Step-by-step explanation:

Is ( - 1, 2) a solution of the system y > x and x + y > 0?
O No, because ( - 1, 2) is a solution to only one of these inequalities.
O Yes, because ( – 1, 2) is a solution to both inequalities.
O Yes, because ( - 1, 2) is the point of intersection of the two boundary lines of this system.
No, because ( – 1, 2) is not a solution to either inequality.

Answers

Answer:

Yes, because (-1,2) is a solution to both inequalities

Step-by-step explanation:

2>-1 so the first inequality is correct

-1+2>0 so the second inequality is correct

Pls help I will mark brainless

Answers

Answer:the answer is 1/5

Step-by-step explanation:

Rewrite as equivalent rational expressions with denominator (5c+9)(c−3)(c−8): 8/5c2−6c−27,2c/5c2−31c−72

Answers

Rational expressions are expressions that can be represented as a quotient

The equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]

The expression is given as:

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex]

Expand the numerator as follows

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c \times c -5c \times 3 + 9\times c -9 \times 3)}{c - 8}}[/tex]

Multiply the factors on the numerator

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -15c+ 9c -27)}{c - 8}}[/tex]

Collect and evaluate like terms

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -6c-27)}{c - 8}}[/tex]

Remove the brackets

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{5c^2 -6c-27}{c - 8}}[/tex]

This means that:

[tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex] and the given expression [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] are equivalent

Hence, the equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]

Read more about rational expressions at:

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Grace wants to collect data on the weight of her puppy as it grows. She decides to construct a table with age in weeks and weight in kilograms as variables. Will the ordered pairs from Grace’s data represent a function, a relation or a neither?

Answers

It will represent a relation.

How her dogs age relates to its weight.

If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which lengths make sense for possible values of b? Select two options.

Answers

Answer:

Step-by-step explanation:

the first ine make sense to me

if not right sorry

Answer:

0.5in and 2in

Step-by-step explanation:

It is the answer

What is 8,473,227 rounded to the nearest hundred thousand

Answers

Answer:

8 500 000

Step-by-step explanation:

since it for the hundred thousand round off, we consider the ten thousand place value if it would have an effect on the hundred thousand place value.

In our case it did not have effect because it is below 5

Helen counted six dollars and four cents in her purse. She recorded this amount in decimal form as $6.40. Did she record it correctly? If she made a mistake, what is the correct way
to record this amount of money as a decimal?

Pls answer will give brainiest

Answers

Answer:

6 dollars and 4 cents

Step-by-step explanation:

According to this diagram, what is sin 23°?
67°
13
5
23°
90°

Answers

The value of sin(23°) is equivalent to 0.39.

What are trigonometric functions?

There are six major trigonometric functions as -

Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)

We can write the relation between them as -

Sine = 1/cosecantCosine = 1/secantTangent = 1/Cotangent

Given is to find the value of sin 23°.

Now, we can write the value of sin(23°) as -

sin(23°) = sin(30° - 7°)

Expanding using the compound angle formula, we can write -

sin (x - y) = sin(x) cos(y) - cos(x) sin(y)

sin(30° - 7°) = sin(30°) cos(7°) - cos(30°) sin (7°)

sin(30° - 7°) = 1/2 x 0.99 - √3/2 x 0.121

sin(30° - 7°) = 1/2 x 0.99 - √3/2 x 0.121

sin(30° - 7°) = 0.495 - 0.105

sin(30° - 7°) = 0.495 - 0.105

sin(30° - 7°) = 0.39

Therefore, the value of sin(23°) is equivalent to 0.39.

To solve more questions on trigonometric functions, visit the link below-

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Convert 13.86° to degrees/minutes/seconds

Answers

Answer:

13,51,36.00

Step-by-step explanation:

A car's rear windshield wiper rotates 130°. The total length of the wiper mechanism is 25 inches and the length of the wiper blade is 14 inches. Find the area wiped by the wiper blade. (Round your answer to one decimal place.)

Answers

The area wiped by the viper blade is approximately 486.7 square inches.

The area wiped by the wiper blade ([tex]A[/tex]), in square inches, is equal to the area of the circular section described below:

[tex]A = \frac{\theta\cdot \pi}{360}\cdot (R^{2}-r^{2})[/tex] (1)

Where:

[tex]\theta[/tex] - Angle, in sexagesimal degrees. [tex]r[/tex] - Inner radius, in inches.[tex]R[/tex] - Outer radius, in inches.

If we know that [tex]\theta = 130^{\circ}[/tex], [tex]R = 25\,in[/tex] and [tex]r = 14\,in[/tex], then the area wiped by the wiper blade is:

[tex]A = \frac{130\pi}{360} \cdot [(25\,in)^{2}-(14\,in)^{2}][/tex]

[tex]A \approx 486.7\,in^{2}[/tex]

The area wiped by the viper blade is approximately 486.7 square inches.

We kindly invite to check this question on circular sections: https://brainly.com/question/14989543

An isosceles right triangle has legs of equal length if the hypotenuse is 10 cm long find the length of each leg

Answers

Since this is a right triangle, we know we have to use the Pythagorean Theorem: A² + B² = C² , where A and B = the legs of the triangle (which are shorter than the hypotenuse) and C = the hypotenuse.

In this isosceles triangle, A = B (because the legs are the same size) and C is 10cm longer than A and B.

Thus we get the following,

A = x

B = x

C = x + 10

We simply plug in these variables into the equation and solve for x:

x² + x² = (x+10)²

2x² = x² + 20x + 100

x² - 20x - 100 = 0

We solve for x by completing the square:

(x² - 20x + 100) - 100 = 100

(x-10)² -100 = 100

(x-10)² = 200

x - 10 = √(200)

x - 10 = 10 √2

x = 10 + 10√2 = 24

Finally,

A ≈ 24 (or 10 + 10√2)

B ≈ 24 (or 10 + 10√2)

C ≈ 24 + 10 ≈ 34 (or 10 + 10√2 + 10 = 20 + 10√2)

Differentiate the function

Answers

Answer:

[tex]-\frac{9}{r^4}[/tex]

Step-by-step explanation:

Using Power rule

[tex]\frac{d}{dr} (r^n)=nr^{n-1}\\-\frac{9}{r^4}[/tex]

The answer is F'(r) = [tex]\mathrm {-\frac{9}{r^{4}}}[/tex].

We can rewrite the function as :

F(r) = 3r⁻³

Now, differentiate by power rule :

F'(r) = (-3)3r⁻³⁻¹

F'(r) = -9r⁻⁴

F'(r) = -9/r⁴

Pls help. The question is on the picture

Answers

Volume of the square part" 20 x 20 x 37 = 14,800 m^3

Volume of a cone ( round part): PI x r^2 x h/3 = 3.14 x 10^2 x 37/3 = 3,872.67 m^3

The1/4 of the circle is inside the square so multiply the volume of the cone by 3/4:

3872.67 x 3/4 = 2904.50m^3

Total volume = 14,800 + 2904.50 = 17,704.50

Round to nearest m = 17,705 m^3


What is the value of x in the equation

1/2 x - 3/4 = 3/8 - 5/8

Answers

Answer:

The value of x is 1

Step-by-step explanation:

1/2 x - 3/4 = 3/8 - 5/8 x

1/2 x + 5/8x = 3/8 + 3/4

9/8 x = 9/8

x = 1

I would really appreciate help with this. I will give brainliest


Can any of you tell me the types of frequencies in math and explain how to find each one? It would be really really helpful if you answered:)

Answers

Answer:

Grouped Frequenct Distribution

UnGrouped Frequency Distribution

Step-by-step explanation:

Figures or numbers collected for some definite purpose is called data. Frequency is the value in numbers that shows how often a particular item occurs in the given data set. There are two types of frequency table - Grouped Frequency Distribution and Ungrouped Frequency Distribution. Data can be shown using graphs like histograms, bar graphs, frequency polygons, and so on.

Bradley is 27 years older than Madison. Seven years ago, the sum of their age was 59. How old are they now?

Answers

Answer:

bradley is 50 and madison is 23

Step-by-step explanation:

m + 27 = b

(b - 7) + (m - 7) = 59

[(m + 27) - 7] + (m - 7) = 59

m + 20 + m -7 = 59

2m + 13 = 59

2m = 46

m = 23, b = 23 + 27 = 50

solve the system of equations by graphing.
3x + y = -4
x - 2y = -6

Answers

Answer:

(-2,2)

Step-by-step explanation:

i need help with this question.

Answers

Answer:

See below for answer.

Step-by-step explanation:

∠1 and ∠2 are supplementary               Given

∠1 + ∠2 = 180°                                         Definition of supplementary angles  

∠3 and ∠2 are supplementary               Given

∠3 + ∠2 = 180                                         Definition of supplementary angles  

∠1 + ∠2 = ∠3 + ∠2                                  Substitution

∠1 = ∠3                                                    Substracting ∠2 from both sides    


What is the inverse of the function g(x)=
-3(x + 6)?
g-1(x) =

Answers

Here’s the answer. See pictures.

A secured loan would most likely be used to pay for

A. college
B. a car
C. groceries
D. a phone

Answers

Obviously a phone and grocers :) Just kidding it’s probably college

A secured loan would most likely be used to pay for a car, the correct option is B.

We are given that;

The four options

Now,

A secured loan is a loan that is backed up by collateral pledged by the borrower, such as a car or property.

The lender can sell the collateral to cover repayment of the loan if the borrower defaults.

Car, since it is a common type of collateral for secured loans.

College, groceries and a phone are less likely to be used as collateral for secured loans, since they are either intangible, perishable or low-value assets.

Therefore, by loan the answer will be car.

Learn more about loan payment here:

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how do i do this?
y=- 1/2x + 3

Answers

Answer: y-intercept would be (0,-1/3)

Step-by-step explanation:

I might be wrong

Assume that x is a positive acute angle.
Given: sin x =28/53
Find: sin 2x

Answers

Answer:

its sophisticated but answer is 3

Step-by-step explanation:

you have to dive deep into it and research

A car travels a constant speed of 45 km/h


3.4.1 The distance travelled in 6 hours?

3.4.2 The time it takes to travel 495 km?​

Answers

Answer:

1 hour

Step-by-step explanation:

because i divided

PLEASE HELP ME
It snowed 2/3 of a foot in January and 1/2 of a foot in February. How much more did it snow in January than in February?

Answers

Answer:

Step-by-step explanation:

2/3 - 1/2 ?=?

4/6 - 3/6 = 1/6 ft more

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