Answers
Step-by-step explanation:
first step is to define the line, and then, secondly find the right direction of the inequality.
we see a few nice points with integer coordinates.
the one on the y-axis is particularly helpful (0, 1), as it gives up the y- intercept right away (1).
another point is (1, 3).
so, the slope is
x changes by +1 (from 0 to 1)
y changes by +2 (from 1 to 3)
so the slope is 2/1 = 2
that means our equation is
y = 2x + 1
the graph says that the inequality is everything bigger than the line value, and the line is not included (dashed line).
so, we get
y > 2x + 1
Related Questions
Spencer has a wooden post that is five and three sevenths feet long. He cut two and one half feet off the post. What is the length of the remaining post in feet?
Answers
Answer:
2 13/14 feet
Step-by-step explanation:
The remaining length is the difference between the starting length and the amount cut off:
5 3/7 - 2 1/2 = (5 -2) +(3/7 -1/2) = 3 +((3·2-7·1)/(7·2)) = 3 -1/14
= 2 13/14 . . . feet remaining
_____
Additional comment
Addition and subtraction of fractions can be accomplished using a formula that does not rely on finding a least common denominator. In this case, the denominators have no common factors, so their product is, in fact, the least common denominator.
[tex]\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}[/tex]
Answer:
3 and five fifthteenths or 3 and 4/9
Step-by-step explanation:
i think so.........
Plz help. Question on the picture
Answers
Answer: There is no picture.
Step-by-step explanation:
Evaluate 6/8×4/5 Give your answer in its simplest form.
Answers
Answer: 3/8
Step-by-step explanation:
Answer:
your answer is
its 3.5
The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball
championship this year. They were so evenly matched that the game lasted 11 innings! The
Stingrays had 3 pitchers, and each of them pitched for the same number of innings.
How long did each of the pitchers for the Stingrays pitch?
Write your answer as a proper fraction or mixed number.
innings
Answers
Using proportions, it is found that each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.
This question is solved by proportions, using a rule of three.In total, the Stingrays pitched 11 innings, with 3 pitchers. Each pitcher pitched the same amount of innings, hence, 1 pitcher pitched x innings.The rule of three is:
3 pitchers - 11 innings
1 pitcher - x innings
Applying cross multiplication:
[tex]3x = 11[/tex]
[tex]x = \frac{11}{3}[/tex]
11 divided by 3 has result 3 with remainder 2, hence, also considering the answer as a mixed number:
Each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.You can learn more about proportions at https://brainly.com/question/24372153
WILL GIVE BRAINLIEST! Given: ∆ABC, AB =√2. M ∈ AC, AM = 1. BM = 1, BC = 2. Find: m∠ABC
Answers
The measurement of ∠ ABC in [tex]\triangle ABC[/tex], When AB =√2, AM = 1. BM = 1, BC = 2 will be [tex](\cos^{-1}{5)[/tex].
The measures of angle ∠ ABC can be calculated as:
The Law of Cosines, states that:
[tex]c^2 = a^2+ b^2 - 2ab \cos (C)[/tex]
Where, c is the side opposite angle C, and a and b are the other two sides of the triangle.
The sides of ∆ ABC will be :
AB = [tex]\sqrt{2}[/tex] (given)
BC = 2 (given)
[tex]AC = 1 + \sqrt{MC}[/tex]
∆ ABC is a triangle and according to the triangle inequality theorem, the The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So:
BC+AB > AC
[tex]2+\sqrt 2 > 1 + {\overline{MC}}[/tex]
[tex]\sqrt 2 +1 > \overline{MC}[/tex]
The law of cosines for [tex]\angle ABC[/tex] can be calculated as:
[tex]{BC}^2 = {AB}^2 + {AC}^2 - 2.AB.AC.cos(\angle ABC)[/tex]
The values can be obtained by the substitution.
[tex]2^2 = (\sqrt2)^2 + (1+{\overline {MC)}^2 - 2.\sqrt2 > (1 +{\overline{MC}).cos (\angle ABC)[/tex]
[tex]4 = 3 +2.\overline{MC} + \overline{(MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]
This can be simplified as:
[tex]0 = 3 + 2.\overline{MC} + \overline{MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]
The value of [tex]\overline{MC}[/tex] can be calculated as:
[tex]\sqrt 2+1 > \overline{MC}[/tex]
Substitute the value in the equation,
[tex]0 = 3+2.(\sqrt2+1) + (\sqrt2+1)^2 - 2.\sqrt2. (1+ \sqrt2+ 1).cos (\angle ABC)[/tex]
[tex]0 = 3+2 \sqrt2+4+2\sqrt2+1-2\sqrt2-2-2\sqrt2-2\sqrt2- 2.cos (\angle ABC)[/tex]
[tex]0 = 10 - 2.cos (\angle ABC)[/tex]
Thus, the value of cos [tex](\angle ABC)[/tex] is calculated as:
[tex]cos (\angle ABC) = \dfrac{10}{2}[/tex]
[tex]cos(\angle ABC) = 5[/tex]
Thus, the value of[tex](\angle ABC)[/tex] is [tex](\cos^{-1}{5)[/tex].
Learn more about angles here:
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two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goes 8km due east, then rides due south for 15km. The second rider goes 8km due west, then changes directions and rides 20 degrees west of due north for 15km. Both riders have been traveling for 23km, but which one is further from the parking lot?
Answers
Applying the required rule or theorem, it can be concluded that the second biker is farther from the parking lot. The distance of the bikers to the parking lot are:
i. First biker = 17.0 km
ii. Second biker = 20.22 km
The path of travel of both bikers would form a triangle. Applying the Pythagoras theorem to the path of the first biker would give his distance from the starting point. While applying the cosine rule to the path of second rider would gives his distance to the starting point.
Thus,
a. To determine the distance of the first biker from the parking lot.
Let the required distance be represented by x. Applying the Pythagoras theorem, we have:
[tex]hyp^{2}[/tex] = [tex]adj 1^{2}[/tex] + [tex]adj 2^{2}[/tex]
[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex]
= 64 + 225
= 289
x = [tex]\sqrt{289}[/tex]
= 17
x = 17 km
Thus, the first biker is 17.0 km from the starting point.
b. To determine the distance of the second biker from the parking lot.
Let the required distance be represented by x. So that applying the cosine rule, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex] - 2(15*8) Cos (180 - 20)
= 64 + 225 - 240 Cos 160
= 289 - 240 * -0.5
[tex]x^{2}[/tex] = 289 + 120
= 409
x = [tex]\sqrt{409}[/tex]
= 20.2237
x = 20.22 km
Thus, the second biker is 20.22 km from the starting point.
Therefore, the second biker is farther from the parking lot.
A sketch of the path of travel for the two bikers is attached for more clarifications.
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A 4-oz. filet of salmon contains 500 mg of potassium. The daily recommended amount of potassium is 3,500 mg. If you ate a 6-oz. filet of salmon, what percent of your daily value did you eat of potassium?
A. 21%
B. 15%
C. 25%
D. 12%
Answers
What type of angles are these?
Answers
Answer:
7. Consecutive Interior Angles that are Supplementary
8. Alternate Exterior Angles that are Congruent
9. Alternate Exterior Angles that are Congruent
10. Alternate Exterior Angles that are Congruent
11. Same Side Exterior Angles that are Supplementary
12. Consecutive Interior Angles that are Supplementary
Step-by-step explanation:
Not sure if I even got them in the correct order, my apologies. The picture provided was a bit hard to read.
Correct me if I am incorrect.
What is the exact value of sin(-5 π/3)
Answers
Answer:
√3/2 is the correct answer. I hope this helps ^^
Step-by-step explanation:
help pls please hmmmm
Answers
42 is the product of 6 and y. Solve for y
Answers
Answer:
y=7
Step-by-step explanation:
42/6=7
Answer:
y =7 iits divided
Step-by-step explanation:
y =6/42
y= 7
Please help me on this math problem
Answers
which multiplication can be used to explain the solution to 15 divided by one over 3
Answers
Answer:
3x5=15
5x3=15
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Consider this expression.
9/4x2 - 12x + 7x/x^2 - 9
The least common denominator of the two rational terms is ( )( )( )
Answers
The answer is in the image attached. I hope it is helpful.
The least common denominator of two given rational expression are 4x, (x-3) and (x+3).
What is the least common denominator of two rational terms?
The factored denominator of two rational terms are called least common denominator of two rational numbers.
How to find the least common denominator of two rational terms?To find the least common denominator of two rational terms, we factor the expression and multiply all the distinct factors.
According to the given question
We have two rational expressions
[tex]\frac{9}{4x^{2} -12x}[/tex] and [tex]\frac{7x}{x^{2} -9}[/tex]
Now let's factorize the denominators
[tex]4x^{2} -12x =4x(x-3)[/tex]
and, [tex]x^{2} -9=(x+3)(x-3)[/tex]
Therefore,
[tex]\frac{9}{4x^{2} -12x}+\frac{7x}{x^{2} -9}[/tex]
⇒[tex]\frac{9}{4x(x-3)} +\frac{7x}{(x-3)(x+3)}[/tex]
⇒[tex]\frac{9(x+3)+7x(4x)}{4x(x-3)(x+3)}[/tex]
Therefore, the least common denominator of two given rational expression are 4x, (x-3) and (x+3).
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Are the equations m+3=-5 and m-4=-12$ equivalent?
Answers
Answer:
Yes They Are Equivalent
Step-by-step explanation:
I checked by multiplying them.
Answer: yes, because they both equal x= -8
Step-by-step explanation:
m= -5 -3
calculate
= -8
m= -12+4
calculate
m= - 8
Describe the following change as both an absolute change in terms of Percentage Points, and as a relative change in terms of a percentage.
The annual interest rate for Jack's savings account increased from 2.3% to 2.8%.
Answers
Answer:
0.5%
Step-by-step explanation:
Please help me on this math problem
Answers
The answer is 16, 4.
Factors that are greater than 1/2 but less than one
Answers
6/8
Step-by-step explanation:
1/2 = 0.5
6/8 = 0.75
therefore, 0.75 > 0.5
Select the correct answer.
You're trying to determine how much money it would cost to hire a lawn mowing company to cut your grass. Your yard
measures 8,712 square feet. The lawn mowing company charges a base rate of $30, plus $20 for every tenth of an
acre. You determine that it will cost $70 to hire the lawn mowing company. Which sentence best describes this price
estimate?
A. The price should be $50 because you have a 0.1 acre yard.
B. The price should be $50 because you have a 0.2 acre yard.
C. The price should be $90 because you have a 0.3 acre yard.
D.
The price estimate is accurate,
Answers
If f(x) = 3 ^ x - 7 and g(x) = x ^ 2 + 11 , the value of f(2) - g(7) is:
Answers
Answer:
The value of [tex]f(2) - g(7)=-58[/tex]
Step-by-step explanation:
We have
[tex]f(x) = 3 ^ x - 7\\\\f(2) = 3 ^ 2 - 7\\\\=9-7\\\\=2\\\\g(x) = x ^ 2 + 11\\\\g(7) = 7 ^ 2 + 11\\\\=49+11\\\\=60\\\\f(2) - g(7)=2-60\\\\=-58[/tex]
someone should help me with this question
Answers
Answer:
option c.)
Step-by-step explanation:
m∠1 + m∠3 = 180°
HELP PLEASE IS IMPORTANT!
Solve the equation by using the Quadratic Formula.
2x 92-5
Answers
See attachment for answer and math work.
Solve four ninths minus four tenths equals blank.
Answers
Answer:
2/45
Step-by-step explanation:
I need help with this math help please!
Answers
Answer: R= 7
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf t = 7}[/tex]
Step-by-step explanation:
-8 (4 - t) = 24
-32 + 8t = 24
Add 32 to both sides
8t = 24 + 32
8t = 56
Divide both sides by 8
t = 7
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Find the degree of this polynomial
z − 2
Answers
Answer:
1
Step-by-step explanation:
Let f(x) = 2(x − 1)² + 3 and h(x) = -f(x+3) - 1
Write h in terms of x
Answers
f(x+3)
[tex]\\ \sf\Rrightarrow 2(x+3-1)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x+2)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x^2+4x+4)+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+8+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+11[/tex]
Now
[tex]\\ \sf\Rrightarrow h(x)[/tex]
[tex]\\ \sf\Rrightarrow -f(x+3)-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-11-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-12[/tex]
[tex]\\ \sf\Rrightarrow 4(-x^2-2x-3)[/tex]
NEED ANSWER QUICKLY PLEASE
Answers
3x - 11 + 44 + 4x - 7 = 180 like terms
7x +26 = 180
7x = 154
X = 22
Angle 1
3(22) -11
55
Angle 2
4(22) -7
81
So the largest angle is 81 degrees!
Hope this helps!
Brainliest is much appreciated!
Help help help help math math
Answers
Answer:
A = 192
Step-by-step explanation:
3 x 8^2
3 x 64 = 192
deacrease 250 by 15%
Answers
Answer:
212.5
Step-by-step explanation:
y = {x-5?
Which equation describes a line parallel to the line described by y-
Your answer:
o y=-2x
o y=-3x+1
oy
-
Oy - 2x - 5
Clear answer
Back
NEW
Answers
Answer:
The third option, 1/2..
