Answer:
See belowStep-by-step explanation:
Given system:
y ≥ 2x + 1 y ≤ 2x – 2The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
The matching graph is the second picture (or attached below) and there is no solution.
From the given inequalities we have boundaries (0, -1) and (0, 2). Therefore, option B is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given system of inequalities are y ≥ 2x + 1 and y ≤ 2x – 2.
The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
Therefore, option B is the correct answer.
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What is the slope of the line that passes through the point (-4,-4)and (6,4)?
Answer:
slope = 0.8
Step-by-step explanation:
HOPE THIS HELPS :)
A researcher measured the length of several lizards she found in a field and recorded the data in the box plot shown below.
A motorcycle can travel 60 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 40 km? [1 mile = 1. 6 km] 0. 04 0. 08 0. 20 0. 42.
The motorcycle needs to travel 40 km, 0.42 gallons of fuel.
Given that,
A motorcycle can travel 60 miles per gallon.
We have to find,
How many gallons of fuel will the motorcycle need to travel 40 km?
According to the question,
The motorcycle travel 60 miles per gallon,
The motorcycle travels 40 km,
To convert it into kilometers 60 miles per gallon.
[tex]\rm 1 \ mile = 1.6\ k.m.\\\\60 \ miles \times 1.6 \ k.m. = 96 \ k.m.[/tex]
Therefore,
The gallons of fuel will the motorcycle need to travel 40 km is,
[tex]= \dfrac{96}{40}\\\\= 0.42[/tex]
Hence, The motorcycle needs to travel 40 km, 0.42 gallons of fuel.
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A system of linear equations includes the line that is created by the equation Y = 0.5x-1 and the line through the
points (3, 1) and (-5, -7), shown below.
What is the solution to the system of equations?
A. (-6, -4)
B. (0, -1)
C. (0, -2)
D. (2, 0)
Step-by-step explanation:
the answer I think D should be
Answer:
The answer is (2,0)
Step-by-step explanation:
We know one equation [tex]y =0.5x - 1[/tex] and the other points (3, 1) and (-5, -7).
For the first step, we need to graph the equation we know, since the points already plotted, and therefore have its own line.
As we can tell it crosses over points (2,0) making this equation having exactly one solution.
Making the correct awnser D; (2,0)
Simplify the difference. (7w2 – 7w – 8) – (5w2 + 2w – 3)
Answer:
2w2-5w-11 just subtract the second set of numbers from the first but it has to be like terms such as anything that is squared would only be applicable to another term with that is squared. a term is any group of number separated by a plus or a minus but it is not a term if it is separated by a multiplication symbol or a division symbol
Answer:
2w^2 - 9w - 5
Step-by-step explanation:
I got it right in Grandpoint.
will give brainliest Select the correct locations on the graph
Select the lines that represent functions.
Answer:
b,c
Step-by-step explanation:
hello, the answer to this is / and ----- or b and c I got this right on my test :)
Anthony sold 45 tickets to the school play and Katy sold 40 tickets. What is the ratio of the number of tickets Anthony sold to the number of tickets Katy sold? A 9:8 B 40:45 C 5 to 8 D 8 to 9
Answer:
the answer to your question is B 40:45
Step-by-step explanation:
a large bottle of juice contains 500 milliliters of juice. a medium bottle contains 70% as much juice as the large bottle. how many milliliters of juice are in the medium bottle.(can you include a number line? thanks!)
Answer:
350 millilitres
Step-by-step explanation:
70/100×500=350
if each quadrilateral below is a rectangle, find the missing measures.
Answer:
Recall each angle in a rectangle is 90 degrees. So to find the other portion, subtract the given angle from the 90 degrees.
Step-by-step explanation:
The missing measures of the angles are as follows:
m∠BCD = 90°
m∠ABD = 16°
m∠CBE = 74°
m∠ADE = 74°
m∠AEB = 148°
m∠DEA = 32°
What is a rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
here, we have,
to determine the measures of the angles:
The figure that completes the question is added as an attachment
From the figure of the rectangle, we have:
m∠BDC = 16°
A rectangle has four (4) interior angles that are 90 degrees each.
This means that
m∠ADE = 90 - 16
m∠ADE = 74°
Also, we have:
m∠ABD = m∠BDC = 16° by the alternate interior angles
By the complementary angle, we have:
m∠CBE = 90 - 16 = 74°
By the alternate interior angles, we have
m∠ADE = m∠CBE = 74°
Solving further, we have the following equations:
m∠AEB = 180 - 2(16)
m∠AEB = 148°
m∠DEA = 180 - m∠AEB
m∠DEA = 180 - 148
m∠DEA = 32°
Hence, the measure of the angle DEA is 32 degrees
m∠BCD = 90°
m∠ABD = 16°
m∠CBE = 74°
m∠ADE = 74°
m∠AEB = 148°
m∠DEA = 32°
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pleaseeee help??????
HELP PLSSSS ILL REWARD BRAINLIEST!!!
5 : 1/3 in its simplest form
Answer:
15 : 1
Step-by-step explanation:
5 : 1/3
Multiply both numbers in the ratio by 3.
5 × 3 : 1/3 × 3
15 : 1
[tex]5:\frac{1}{3} =5.\frac{3}{1} =\frac{15}{1} <=>15:1 (=15)[/tex]
ok done. Thank to me :>
Joseph removes 5/8 gallon of white paint from a can.
Then he adds 5/8 gallon of blue paint to the can.
Write and evaluate an addition expression to find
the overall increase or decrease in the amount of
paint in the can.
Create the expression from the data:
The gallon of paint begins as a whole: 8/8
Then he removes 5/8 gallons of paint from the can: - 5/8
Then he adds 5/8 of a different colored paint to the can: + 5/8
Now combine:
8 / 8 - 5 / 8 + 5 / 8 = 8/8
The paint can is full, then he removes an amount from the can. He then pours more paint into the can that is equal to the amount he originally removed. Therefore, the paint can remained full.
Helppp it’s geometry I just have no clue how to do this so if your good at geometry plz take a look
Answer:
≈ 98.7
Step-by-step explanation:
What you want to use is Pythagorean Theorem
96 squared + 23 squared = c squared
≈ 98.7
what triangle does the pythagorean theorem relate to
Answer:
Right Triangle
Step-by-step explanation:
I hope this helps!
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
The answer is 8
x=3
4^3/2^3=8
can you please answer this question asap
x-1/3-x+3/4=-1
The value of x is [tex]\mathbf{8\dfrac{1}{3}}[/tex]
The objective of this question is to evaluate and determine the value of x. The fraction given in the question consists of algebraic expressions and, we need to solve it through following process;
∴
[tex]\mathbf{\dfrac{x-1}{3-x} + \dfrac{3}{4}=-1 }[/tex]
Collect like terms
[tex]\mathbf{(\dfrac{x-1}{3-x})=-1 -\dfrac{3}{4}}}[/tex]
[tex]\mathbf{(\dfrac{x-1}{3-x})=-(\dfrac{7}{4}})}[/tex]
-4(x - 1) = -7(3 -x)
-4x + 4 = -21 + 7x
4x -7x = -21 - 4
-3x = - 25
[tex]\mathbf{x= \dfrac{25}{3}}[/tex]
[tex]\mathbf{x= 8\dfrac{1}{3}}[/tex]
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can someone help me with this problem!
__ + (4) = -1
whats the missing number
( I swear I'm smart lol)
When Johan calculates how much interest he must pay, he calculates as follows: SEK 0.045-620,000 = SEK 6,975/4
a) What is the interest rate? How are you thinking?
b) Why does Johan divide by 4?
Answer:
its b
Step-by-step explanation:
In the equation 2x + 3y = 19, what is the constant?
Answer:
19
Step-by-step explanation:
The numerical value not being used as a multiplier of a variable is referred to as the constant. In this equation, the constant is 19.
_____
Additional comment
In different contexts, all of the numerical values, 2, 3, 19, can be referred to as both coefficients and constants. We can say that x has a constant coefficient of 2. We can say the coefficients in this equation are 2, 3, 19. Use the terminology defined in your curriculum materials.
How does a plastic fork, whale, hospital and chocolate bar relate with each other?
Answer:
They all include the letter A
Step-by-step explanation:
HELP ! Will give brainliest
Answer:
look it up thats what i do
Step-by-step explanation:
what is the answer to (x-2)^5 ?
Answer:
x² - 4x + 4
Step-by-step explanation:
(x -2)(x - 2)
x² - 2x - 2x + 4 Expand using FOIL.
x² - 4x + 4 Simplify.
Help required. Struggling sm with flowcharts, shapes, etc., and I have a test on them tomorrow
The given quadrilateral PQRS do not have the properties of a parallelogram, but that of a square. Because we are to prove that its consecutive sides are congruent i.e : QP ≅ QR.
The required proofs are stated below:
Statement Reason
1. <SPR ≅ <PRQ Alternate angle property
2. PT ≅ TR Definition of a mid-point
3. <PTS ≅ <QTR ≅ [tex]90^{o}[/tex] Perpendicular bisector property
4. ST ≅ TQ Mid-point of a segment
5. PQ ≅ SR Opposite side congruent property
6. ΔPQs ≅ ΔQRS Side-Angle-side (SAS) property
7. <PQR ≅ <SPQ Right angle property
8. PQ ≅ QR Congruent consecutive side property
Therefore given that PQ ≅ QR, then the given quadrilateral is a square.
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Lena ran in a 340-meter race.About how many feet did she run?
Answer:
1115.49 feet
Step-by-step explanation:
To convert meters to feet, multiply 340 meters by 3.281 because there are approximately 3.281 feet in 1 meter.
340*3.281= 1115.49
4x + 5y = 18.5
2x + 4y = 13
Work out the values of x and y.
Answer:
x = 1.5 , y = 2.5
Step-by-step explanation:
4x + 5y = 18.5 → (1)
2x + 4y = 13 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the x- term
- 4x - 8y = - 26 → (3)
add (1) and (3) term by term to eliminate x
- 3y = - 7.5 ( divide both sides by - 3 )
y = 2.5
Substitute y = 2.5 into either of the 2 equations and solve for x
Substituting into (1)
4x + 5(2.5) = 18.5
4x + 12.5 = 18.5 ( subtract 12.5 from both sides )
4x = 6 ( divide both sides by 4 )
x = 1.5
estimate the area of the following irregular shapes
will give brainliest
Answer: You need to count how many squares are shaded(at least half of it), therefore the area is 32 square units.
show your solution 5x + 12 =42
Answer:
6
Step-by-step explanation:
5x+12=42
subtract 12
5x=30
divide by 5
x=6
Answer:
x = 6Step-by-step explanation:
5x + 12 = 42=> 5x = 42 - 12=> 5x = 30=> x = 6Conclusion:
Therefore, the answer is 'x = 6'.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
The cost was 1,784 . they also had to pay 7.25% sales tax. What was the total amount paid
Answer:
1913.34
Step-by-step explanation:
1784x0.0725=129.34
129.24+1784.00=1913.34
Help me please just help I need help rn like rn
Answer:
i.900
j.6
k.8
l.0
Step-by-step explanation:
hope this helps you ;)