The options that represent solutions to the given inequality are:
A (7,67)C (5,49)What is the inequality?The inequality is:
[tex]y > 2 + 9x[/tex]
Item a:
x = 7, hence, the solution is:
[tex]y > 2 + 9(7)[/tex]
[tex]y > 67[/tex]
67 > 65, hence it is a solution.
Item b:
x = 8, hence, the solution is:
[tex]y > 2 + 9(8)[/tex]
[tex]y > 74[/tex]
74 = 74, hence it is not a solution.
Item c:
x = 5, hence, the solution is:
[tex]y > 2 + 9(5)[/tex]
[tex]y > 47[/tex]
49 > 47, hence it is a solution.
Item d:
x = 4, hence, the solution is:
[tex]y > 2 + 9(4)[/tex]
[tex]y > 38[/tex]
37 < 38, hence it is not a solution.
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Azil runs 6 times four-fifths laps on Monday. Which fraction represents the number of laps that Azil runs on Monday?
Answer:
24 / 5 laps
Step-by-step explanation:
Fraction of laps run = 4/5 laps
Number of times lap was run = 6
Fraction representing total laps run :
6 * (4/5)
= 24 / 5
Or
24 /5 = 4 4/5 laps
Please help I don't know where to start
A and B are points with position vectors a and b respectively. C is the point on AB such
that AC = 3CB .
Find the position vector of C in terms of a and b.
Answer:
I hope you understood
Explain why two perpendicular lines will remain perpendicular if they are both dilated by the same factor
and using the same center
Answer:
because they are congruent to the original angle
Step-by-step explanation:
they are congruent to the original triangle. nothing will change.
The two perpendicular lines will remain perpendicular because it should be congruent to the original angle.
What is congruent?The Two geometric figures should treated be congruent in the case when it should have coincided. Since the both perpendicular lines are dilated by the same factor also the same center should be used due to this, the two perpendicular lines should remain perpendicular.
Therefore, The two perpendicular lines will remain perpendicular because it should be congruent to the original angle.
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any smart people want to help me
Answer:
$217.50
Step-by-step explanation:
$135 + (11*$7.50) = $217.50
Answer:
B
Step-by-step explanation:
26 students = 15 students + 11 students
135 for 1st 15, 7.50 for rest
135 + 7.50(11) = 217.50
Therefore, B
can someone please help me??
Answer:
the answer is c ...............
Answer:
It could be A or C because they are the same
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLEST
Which of the following statements is not true?
-1 < -1.5
1.7 > 1
≤
0.01 < 0.1
Answer:
-1 < -1.5
Step-by-step explanation:
when using negative numbers, larger numbers will be smaller. so even tho 1.5 seems to be .5 bigger, it is negative, so it is .5 smaller
Find (f*g)(x) f(n)=2n; g(n)= -n-4
will give brainliest
In your own words explain how you would solve this two step equation for the variable x. 9x-7=-7
Answer:
Add 7 to both sides
Step-by-step explanation:
The equation has to be just x = y
There cannot be another number on the same side as the variable
Now that we did that, the equation is 9x = 0
x = 0
Well, that was easy lol
Answer:
Step-by-step explanation:
Add 7 to both sides
9x = 0
Then divide by 9 both sides to get x by itself
x = 0
Is (8, 2) a solution to this system of inequalities?
y ≥ x + 1
y ≤ 2
Hey guys I need help for this math problem is about function thanks if you can have a good day
Answers:
Graph A is a function
Graph B is not a function
========================================================
Explanation:
To check if we have function or not, we apply the vertical line test. This test is where you ask yourself: "Is it possible to draw a single vertical line through more than one point on the curve?"
If the answer to that question is "yes it is possible", then we do not have a function. Graph B shows that we can draw a line through say x = 2 and have the vertical line intersect at points (2,2) and (2,4). The input x = 2 leads to multiple outputs y = 2 and y = 4 simultaneously. This is why graph B is not a function.
A function is only possible when any x input from the domain leads to exactly one y output in the range. Graph A is a function because we cannot draw a single vertical line to intersect through that curve more than once.
find the missing lengths of the sides.
Given:
The figure of a right angle triangle.
[tex]a=b[/tex]
Hypotenuse = [tex]9\sqrt{2}[/tex] in.
To find:
The missing lengths of the sides.
Solution:
In the given right angle triangle both legs a and b are equal, and hypotenuse is [tex]9\sqrt{2}[/tex] in.
Using Pythagoras theorem, we get
[tex]Hyponteuse^2=Base^2+Perpendicular^2[/tex]
[tex](9\sqrt{2})^2=(a)^2+(b)^2[/tex]
[tex]81(2)=(a)^2+(a)^2[/tex] [tex][\because a=b][/tex]
[tex]81(2)=2(a)^2[/tex]
Divide both sides by 2.
[tex]81=(a)^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{81}=a[/tex]
[tex]\pm 9=a[/tex]
Side cannot be negative. So,
[tex]9=a[/tex]
Thus, the missing side lengths are a=9 in and b=9 in.
Therefore, the correct option is C.
please answer will give brainliest
Answer:
2 Gallons
Step-by-step explanation:
20.5ft x 16.4ft = 336.2
336.2 divided by 200= 168 gallons
Since you can not buy 1.68 gallons you will have to buy 2 galllons instead.
equivalent Find the number that makes the ratio equivalent to 1:7. 4:
Answer:
28
Step-by-step explanation:
cross multiply
You have a rental company come and set up a tent for a wedding banquet. Each pole is 7 feet tall and the 20 foot-long rope goes from one stake to an eyelet at the top of the pole and back to the other stake. What is the equal distance each stake will be away from the base of the pole?
Answer and explanation:
The connection of the rope from the stake to the pole will form a triangle so that one side is the hypotenuse(the rope), another is the opposite side(the pole) and the other is the adjacent side(the distance from the stake to the pole).
The unknown side is the adjacent side which is the distance from the stake to the pole. To find an unknown side in a triangle in this form, we use the Pythagorean theorem.
Therefore c²=a²+b²
c=20ft
a= 7ft
b= unknown
So we use the formula to find unknown side(distance from stake to base of pole)
20²=7²+b²
400=49+b²
b²=400-49
b²= 351
b=√351
b= 18.735ft
Therefore distance from stake to base of pole = 18.735 feet
20 points. Picture says it all.
Answer:
AC line = DB line
Step-by-step explanation:
ac line is always larger that db line
A recipe for making 3 dozen muffins requires 1 1/2 cups of flour. How many cups of flour are required to make 5 dozen of the same muffin?
Answer:
2 1/2 cups
Step-by-step explanation:
3 dozen muffins = 1 1/2 cups
divided by 3, you get 1 dozen muffins = 1/2 cup of flour
multiply by 5 you get 2 1/2 cups of flour
A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 2 and the coin toss is tails?
Answer:
'5,3$492
Step-by-step explanation:
649`~_fs?.©α€~_a sv zbs svsh
James, Ryan and Jill share £120 in the ratio 3:2:1.
Find out how much each person recieves.
Answer:
James = £60, Ryan = £40 and Jill = £20
Step-by-step explanation:
James - 3, Ryan - 2 and Jill - 1
3 + 2 + 1 = 6
£120 / 6 = 20
Times 20 by each of the three numbers (3, 2 and 1)
3 x 20 = £60 (James)
2 x 20 = £40 (Ryan)
1 x 20 = £20 (Jill)
Answer:
James gets £60
Ryan gets £40
Jill gets £20
Step-by-step explanation:
Add up the ratio which would be 6 then divide it by the original sum which is £120 so the answer would be 20. You would then multiply 20 by each number so 20x3= 60. 20x2= 40. 20x1=20
All these should add up to your original sum and if they do you know you've done it right!
Can someone please help me????
Answer:
No
Step-by-step explanation:
No, because BA is the same side as EF and the difference is 5. But CA is the same side as ED and the difference is 7.5. All sides would have to increase or decrease by the same number to get to the other triangle and in this case they do not.
Here is a sketch of a curve.
The equation of the curve is y = x2 + ax + b
where a and b are integers.
ol
The points (0, -7) and (7,0) lie on the curve.
Find the coordinates of the turning point of the curve.
Finish your answer by writing, Turning point at (... , ... )
+
Total marks: 4
Answer:
turning point: (-3 , -16)
Step-by-step explanation:
y = x² + ax + b pass(0,-7)(7,0)
(0)² + 0*a + b = -7 b= -7
(7)² + 7*a - 7 = 0 7a = 42 a = 6
y = x² + ax + b = y = x² + 6x - 7 = (x+3)² - 16
(h,k): vertex equation: y = a(x-h)² + k
h = -3 k=-16
Pls help me with my homework
Answer:
Yes
Step-by-step explanation:
It is a right triangle. If a(57) squared plus b(76) squared equals c(95) squared, it is a right triangle
5. There are three different colored M&Ms
red, green, and white. The probability of
selecting a red M&M is 2/5 and the probability
of selecting a green M&M is 1/4 so what is the
probability of selecting a white M&M?
The total number of red m&m out of all m&m is 2/5.
The total number of green m&m out of all m&m is 1/4.
if we add up 2/5 and 1/4, we can use that information to subtract from the total number of m&m to find the rest of m&m, which would be a total number of white m&m!
2/5 + 1/4 = ?
Common denominator. We will choose 20, since it is the lowest common multiple! (this means that 20/20 is the total number of all m&m, by the way. )
[tex]\frac{2(4)}{5(4)}[/tex] + [tex]\frac{1(5)}{4(5)}[/tex] = 8/20 + 5/20 = a
20/20 - a = ?
ANSWER: 7/20
The probability of selecting a white-colored M&M is 7/20.
The total number of red m&m out of all m&m is 2/5.
The total number of green m&m out of all m&m is 1/4.
if we add up 2/5 and 1/4, we can use that information to subtract from the total number of m&m to find the rest of m&m, which would be a total number of white m&m
2/5 + 1/4 = ?
Common denominator. We will choose 20, since it is the lowest common multiple (this means that 20/20 is the total number of all m&m, by the way. )
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
8/10 +5/20 = 8/20 + 5/20 = a
20/20 - a = ?
Therefore the probability of selecting a white M&M is 7/20.
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Jenna and Yvonne practice the high jump. Jenna can jump 2 feet. Yvonne can
jump 3 feet. Decide if each equation be used to find how much higher Yvonne
mps then Jenna. Choose Yes or No for each equation.
Answer:
only 1 and 2 are correct
Step-by-step explanation:
Here, we want to select appropriately
From the question, all we had to do is to make a subtraction; and that is;
3 5/12 -2 2/3
1. 2 8/12 can be reduced to 2 2/3; so the answer here is yes
2. 3 15/36 can be reduced to 3 5/12
and 2 24/36 can also be reduced to 2 2/3; so this is correct also
3. This is wrong
4. This is wrong
How would I get the answer to this problem.
Answer:
[tex]\displaystyle m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 7)
Point (9, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{5-7}{9-3}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-2}{6}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{-1}{3}[/tex]To eliminate the y terms, you can multiply the first equation by 5 and the second equation by what number?
Step-by-step explanation:
the second equation should be multiplied by 9
Find the inverse of 3x - 6
3x - 6
3x - 6
-3x + 6
-3x + 6
3x + 6
3x + 6
-3x + 6
Answer:
3x+6 is inverse of 3x-6.it is a additive inverse and if we add both we get 0.
Graph (–4, 5), (2, 3), (–3, 0), (–4, –5), (–5, 2), and
(–5, 3) and connect the points to form a polygon.
Answer:
Detail attached
Step-by-step explanation:
IM GIVING 43 POINTS PLS ANSWER ASAP I MARK BRAINLIEST
Answer:
m = 3Step-by-step explanation:
Get two points and use slope formula
Points
(50, 40) and (60, 70)Find the slope:
m = (y₂ - y₁)/(x₂ - x₁) m = (70 - 40)/(60 - 50) = 30/10 = 3what does 6 × 9 + 6 + 9 equal? :)