Answers
Answer: Choice C
[tex]y \ge 4x-5[/tex]
===============================================
Explanation:
First we need to find the equation of the boundary line. This is the line that separates the shaded region versus the non-shaded region.
The boundary line goes through (0,-5) so this is the y intercept, so b = -5
Another point on the boundary line is (1,-1). The slope of the line through (0,-5) and (1,-1) is m = 4. You can use the slope = rise/run idea or you could use the slope formula to get m = 4.
With m = 4 and b = -5, the y = mx+b equation updates to y = 4x-5
The boundary line has the equation y = 4x-5
Because it is a solid boundary line (instead of dashed) and the shading is above the boundary, this means we change the equal sign to "greater than or equal to"
Therefore we get [tex]y \ge 4x-5[/tex]
Note: a solid boundary line means that points on this boundary are included in the solution set. A dashed boundary line would mean you don't include boundary points in the solution set. So that's why there is a "or equal to" portion in the inequality sign.
Related Questions
In the following problems, suppose J is between H and K.
• Use Segment Addition Postulate to solve for x.
• Then find the length of each segment.
11. HJ=6x-5
JK=4x-6
KH=129
12. HJ=4x-15
JK=5x-6
KH=15
Please show all work and not just answers.
Answers
Answer:
11. HJ = 79; JK = 50
12. HJ = 1; JK = 14
Step-by-step explanation:
The segment addition postulate tells you the total length is the sum of the segment lengths.
__
11. HJ + JK + HK
(6x -5) +(4x -6) = 129
10x = 140 . . . . add 11
x = 14 . . . . . . . divide by 10
6x -5 = 6(14) -5 = 79 = HJ
4x -6 = 4(14) -6 = 50 = JK
__
12. HJ + JK = HK
(4x -15) +(5x -6) = 15
9x = 36 . . . . . add 21
x = 4 . . . . . . . .divide by 9
4(4) -15 = 1 = HJ
5(4) -6 = 14 = JK
Hayden places these four blocks into a bag. A B С He picks one block without looking. What is the probability that the block Hayden picks has a letter on it? . A 1/4 B 1/3 C 2/3 D 3/4
Answers
Answer:
Option D. 3/4
Step-by-step explanation:
From the question given above, we obtained the following information:
Block with letter = 3
Block with symbol = 1
Total = 4
Thus,
Sample space (S) = 4
Event of block with letter (nBl) = 3
Event of block with symbol (nBs) = 1
Finally, we shall obtain the probability of picking a block with letter as follow:
Sample space (S) = 4
Event of block with letter (nBl) = 3
Probability of picking a block with letter, P(Bl) =?
P(Bl) = nBl/nS
P(Bl) = 3/4
Therefore, the probability of picking a block with letter is 3/4.
5x-6y=17 whats the value of y?
Answers
Answer:
see below
Step-by-step explanation:
5x - 6y = 17
5x - 17 - 6y = 0
5x - 17 = 6y
y = [tex]\frac{5x - 17}{6}[/tex]
Answer:
Hey there!
Original Equation: 5x-6y=17
Subtract 5x: -6y=17-5x
Multiply by -1: 6y=5x-17
Divide by 6: y= [tex]\frac{5x-17}{6}[/tex].
Let me know if this helps :)
if anyone could please help fast i will mark as brainiest
Answers
Answer:
[tex]\large\boxed{x^{36}}[/tex]
Step-by-step explanation:
Consider the properties:
[tex]\boxed{(x^a)^b=x^{a\cdot b}}[/tex]
[tex]\boxed{x^a \cdot x^b=x^{a+b}}[/tex]
[tex]\therefore (x^3)^6 \cdot (x^2)^9= x^{18} \cdot x^{18}= x^{36}[/tex]
Answer is 36
(x3)6 * (x2)9
x3*6x2*9
Please Please Please help !!
Answers
Answer:
g(x) = x - 7
Step-by-step explanation:
g(x) is the same as saying "y".
you need to move the y-intercept down 7 units, therefore putting the term - 7 into the expression.
Answer:
g(x) = x-7
Step-by-step explanation:
First find f(x)
f(x) is the function y =x
f(x) = x
g(x) = f(x) + C C < 0 moves it down
We want to move it down 7 units
g(x) = f(x) -7
g(x) = x-7
If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.
Please show all work and not just the answers.
Answers
Answer:
x=2
AB=8
BC=8
AC=16
Step-by-step explanation:
7x-6=12-2x
7x+2x=12+6
9x=18
x=2
AB=7x-6=7(2)-6=14-6=8
BC=12-2x-12-2(2)=12-4=9
AC=8+8=16
what is the length of the segment ĀB
Answers
Answer: 12
Step-by-step explanation: 7+5
Please I don’t understand this thank you
Answers
Answer:
55°
Step-by-step explanation:
What we have are vertical angles. Vertical angles are angles directly opposite to one another.
Importantly, the measures of vertical angles are equivalent. Thus, set the expressions to each other and solve for x:
[tex]3x+34=7x+6[/tex]
Subtract 3x from both sides:
[tex]34=4x+6[/tex]
Subtract 6 from both sides:
[tex]28=4x[/tex]
Divide everything by 4:
[tex]7=x[/tex]
Flip:
[tex]x=7[/tex]
Now, substitute this back into either of the equations since we know they are the same:
[tex]3x+34\\=3(7)+34[/tex]
Multiply:
[tex]=21+34[/tex]
Add:
[tex]=55[/tex]
So, the angle is 55°
Kenji earned the test scores below in English class.
79, 91, 93, 85, 86, and 88
What are the mean and median of his test scores?
A. Mean: 79; Median: 93
B. Mean: 87; Median: 93
C. Mean: 87; Median: 87
D. Mean: 93; Median: 87
Answers
Answer:
C
Step-by-step explanation:
Mean is all the numbers divided by the amount of numbers listed and Median is what ever number is in the middle (when in order of value). when there's not a exact middle number u add the two numbers in the middle and divide it by two
Answer fast please
8.
What is the 9th term in the quadratic sequence
shown below?
2, 5, 10, 17, 26, ...
A. 97
B. 82
C. 71
D. 65
Answers
You start at (1,0) And move down 2 units and left 4 units where do you end
Answers
Answer:
(-3,-2)
Step-by-step explanation:
Starting at the point (1, 0)
Now we move don 2 units (so the y-value reduces in two units) making now the point (1,0-2) which is (1, -2)
then we move to the left 4 units (so the x-value has now to be decreased in 4 units) making the point: (1-4, -2) which is (-3, -2)
Answer:
It would be -2,4.
Step-by-step explanation:
you start at (1,0) and go down 2 to -2 then left 4 you would land on -2,4
All of the following expressions are equal except ____.
1/4^3
4^2/4^5
4^4/4^2
4^-3
Answers
1/4^3= 0.015625
4^2/4^5= 0.015625
4^4/4^2= 16
4^-3= 0.015625
therefore the third one is the one that u are looking for
4^4/4^2= 16
All of the expressions are equal except the third expression i.e., 4^4 / 4^2.
Some expressions are given in the question.
We have to find out which expression is not equal to the other expressions.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
Let's check the value of given expressions by simplifying them.
a )
(1/4)³
= [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4}[/tex]
= [tex]\frac{1}{64}[/tex]
= 0.015625
b)
4² / [tex]4^{5}[/tex]
= [tex]\frac{16}{1024}[/tex]
= [tex]\frac{1}{64}[/tex]
= 0.015625
c)
[tex]4^{4}[/tex] / 4²
= [tex]\frac{256}{16}[/tex]
= 16
d)
[tex]4^{-3}[/tex]
= [tex]\frac{1}{64}[/tex]
= 0.015625
So , all values are equal except 3rd value.
Thus , all of the expressions are equal except the third expression i.e., 4^4 / 4^2.
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if qr=8x+1 and qs=20x-26 than what is rs
Answers
Answer:
Step-by-step explanation:
20x - 26 = 8x + 1
12x - 26 = 1
12x = 27
x = 27/12 = 2 3/12 = 2 1/4 = 2.25
8(2.25) + 1 + 20(2.25) - 26
18 + 1 + 45 - 26
19 + 45 - 26
64 - 26 = 38 = rs
The value of rs is 38 for the given expression.
What is a balancing equation?"A balanced equation is an equation where both sides are equal to the same amount. The answer to the expression on the left side of the equals sign (=) should be equal to the value on the right side of the equals sign".
For the given situation,
The two equations are
qr=8x+1 and
qs=20x-26
On equating these two equations,
[tex]8x+1=20x-26[/tex]
⇒ [tex]12x=27[/tex]
⇒ [tex]x = 2.25[/tex]
To find rs, we need to add both equations.
[tex]rs=8x+1+20x-26[/tex]
⇒ [tex]rs=8(2.25)+1+20(2.25)-26[/tex]
⇒ [tex]rs=38[/tex]
Hence we can conclude that the value of rs is 38.
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If m angle ABD=79 degrees , what are m angle ABC and m angle DBC
Answers
Answer:
m<ABC = 45
m<DBC = 34°
Step-by-step explanation:
Given:
m<ABD = 79°
m<ABC = (8x - 3)°
m<DBC = (5x + 4)°
Step 1: Generate an equation to find the value of x
m<ABC + m<DBC = m<ABD (angle addition postulate)
(8x - 3) + (5x + 4) = 79
Solve for x
8x - 3 + 5x + 4 = 79
13x + 1 = 79
Subtract 1 from both sides
13x + 1 - 1 = 79 - 1
13x = 78
Divide both sides by 13
x = 6
Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle
m<ABC = (8x - 3)°
m<ABC = 8(6) - 3 = 48 - 3 = 45°
m<DBC = (5x + 4)°
m<DBC = 5(6) + 4 = 30 + 4 = 34°
Three times the sum of 7 and a number is 24
Answers
Answer:
The number is:
1
Step-by-step explanation:
3(7+a) = 24
3*7 + 3*a = 24
21 + 3a = 24
3a = 24 - 21
3a = 3
a = 3/3
a = 1
"one less than the product of a number and 3 is 5 more than the number itself"
Answers
Answer:
the number is 3
Step-by-step explanation:
Perhaps you'd like to find the number.
If n represents the number, we can write the relationship as ...
3n -1 = n +5
Adding 1-n to both sides gives ...
2n = 6
n = 3 . . . . divide by 2
The number is 3.
_____
Check
The product of the number and 3 is 9. One less is 8. That is 5 more than the number itself: 8 = 3 + 5.
Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a functions, or
neither (if the set is not a relation).
F=[lxy) x+y=10)
Answers
Answer:
I believe the answer is function
Step-by-step explanation:
Angela tried to solve an equation step by step. \begin{aligned} \dfrac34+m&=\dfrac54\\\\ \dfrac34+m-\dfrac34&=\dfrac54+\dfrac34&\green{\text{Step } 1}\\\\ m&=2&\blue{\text{Step } 2} \end{aligned} 4 3 +m 4 3 +m− 4 3 m = 4 5 = 4 5 + 4 3 =2 Step 1 Step 2 Find Angela's mistake.
Answers
Answer:
The mistake she made was ; She didn't change the sign when subtracting -3/4 from both sides
She wrote 5/4+3/4 instead of 5/4-3/4
Step-by-step explanation:
Correct solution:
[tex] \frac{3}{4} + m = \frac{5}{4} [/tex]
Subtract-3/4 from both sides
[tex] \frac{3}{4} - \frac{3}{4} + m = \frac{5}{4} - \frac{3}{4} [/tex]
Simplify
[tex]m = \frac{5}{4} - \frac{3}{4} \\ m = \frac{1}{2} [/tex]
The mistake Angela made was when she subtracted -3/4 from both sides, she didn't change the sign and She wrote 5/4 + 3/4 instead of 5/4-3/4.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that performs the arithmetic operations are called arithmetic operators.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
We have given the expression as
⇒ 3/4 + m = 5/4
The mistake Angela made was when she subtracted -3/4 from both sides, she didn't change the sign.
She wrote 5/4 + 3/4 instead of 5/4-3/4
Here is the correct work :
Subtract 3/4 from both sides from the equation,
⇒ 3/4 + m - 3/4 = 5/4 - 3/4
⇒ m = (5 - 3)/4
⇒ m = 2/4
⇒ m = 1/2
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The coordinates of point 7 are given. The midpoint of ST is (5. - 8). Find the coordinates of point S.
9. T(10, 18)
Answers
Answer:
S(0, 2)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Step 1: Plug in known variables
5 = (10 + x)/2
-8 = (18 + y)/2
Step 2: Solve
10 = 10 + x
x = 0
-16 = 18 + y
y = 2
Step 3: Write coordinates
(0, 2)
given that the total surface area of a cuboid with a square base is 66cm^2 and the total length of the sides is 40c. Find the possible volume of the cuboid.
Answers
Answer:
660cm^3
Step-by-step explanation:
to find the volume of a square with surface area, you multiply the base by the height. So the base is 66 and the height is 10(because 40/4=10). Then 66x10=660. So 660cm^3 would be your answer. Hope that helps!
Answer:
36 cm³
≈ 35.85 cm³
Step-by-step explanation:
Given cuboid with:Total surface area = 66 cm²Total length of the sides = 40 cmTo find:Volume of cuboidSolutionLet side of the base be x and height be y
Then we have equatins for total surface area and total side length:
2*x² + 4*xy = 66 ⇒ x² + 2xy = 332*4x + 4y = 40 ⇒ 2x + y = 10 ⇒ y = 10 - 2xSubstituting y in the first equation:
x² + 2x(10 - 2x) = 33x² + 20x - 4x² = 33-3x² + 20x - 33 = 03x² - 20x + 33 = 0Solving the quadratic equation we get roots of:
x₁ = 3 cmx₂ = 11/3 cmFor x = 3, the value of y:
y₁ = 10 - 2x = 10 - 6 = 4 cmFor x = 11/3, the value of y:
y₂ = 10 - 2x = 10 - 22/3 = 8/3 cmBased on the found values we get 2 possible volumes:
V = base * height = x²yV₁ = 3²*4 = 36 cm³V₂ = (11/3)²*8/3 ≈ 35.85 cm³The table lists the test scores William and Andre received on five math assessments. Which student had the higher median? By how much? A: Andre by 7 points B: William by 5 points C: William by 7 points D: Andre by 5 points
Answers
Answer: c
First you organize the numbers into order then you find the middle of both. The middle of Williams was 89. Then you do the same for Andres and you get 82. To get the difference of them both you have to subtract both of them to get 7 and that’s c.
A rectangle has sides that measure 12x + 7 units long and 9x+ 11 units long. What is the expression that represents the perimeter of the rectangle?
Answers
Answer: P= 2{(12x+7) + (9x+11)} or 42x + 36
Step-by-step explanation:
The formula for the perimeter of a rectangle is P=2(l+w)
P= 2{(12x+7) + (9x+11)}
Simplified to 42x + 36
-8 - x = x - 4x
what is x?
Answers
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 8 - x = x - 4x}[/tex]
Collect like terms
⇒[tex] \sf{ - 8 - x = - 3x}[/tex]
Move 3x to left hand side and change it's sign
Similarly, move 8 to right hand side and change it's sign
⇒[tex] \sf{ - x + 3x = 8}[/tex]
Collect like terms
⇒[tex] \sf{2x = 8}[/tex]
Divide both sides of the equation by 2
⇒[tex] \sf{ \frac{2x}{2} = \frac{8}{2} }[/tex]
Calculate
⇒[tex] \sf{x = 4}[/tex]
Hope I helped!
Best regards!!
For 1,a bag of marbles contains 4 black, 5 blue, 1 white, 2 yellow, and 3 green marbles 1. What is the ratio of the number of black marbles to the number of yellow marbles? A. 2:1 B. 1 to 5 C. 1:4 D. 1 to 2
Answers
Answer:
The ratio is 2:1
Step-by-step explanation:
black : yellow
4 2
Divide each side by 2
4/2 2/2
2 1
Choose the correct order and evaluate the expression: (28÷4)×5−6+42
Answers
(28/4)*5-6+42
35-6+42
77-6
71
final answer is 71
first bracket one should be done then multily than addition and subraction.like this you get correct answer.
BDMAS
B is for “bracket “
D is for “division”
M is for “multiplication “
A is for “addition”
S is for “subtraction”
So start with the bracket
28/4=7
And so on
Which of the following expressions has more than one term? (1 point)
O dz
O 4
Ot-t
O 18
Answers
'dz' because d and z are different values.
Answer:
t-t
Step-by-step explanation:
A vertex can represent
a person, object, location, or number
a variable or a pathway
a point, and nothing more
Answers
Given that R is between S and T, find the measure of TS RS=6 TR=4.5 TS=?
Answers
Answer:
[tex]\huge\boxed{TS = 10.5}[/tex]
Step-by-step explanation:
Given that:
R is a point lying on line TS
So,
TS = TR + RS
Where TR = 4.5 and RS = 6
=> TS = 4.5 + 6
=> TS = 10.5
Given
m2 ABD is a straight angle.
m ABC = 8x - 41°
mZCBD = 9x + 17°
Find m2CBD:
А
B
D
Answers
Answer:
∠CBD = 125°
Step-by-step explanation:
The angle sum theorem tells you that ...
∠ABC +∠CBD = ∠ABD
8x -41° +9x +17° = 180° . . . . . . a "straight angle" has a measure of 180°
17x -24° = 180° . . . simpify
17x = 204° . . . . . . add 24°
x = 12° . . . . . . . . . . divide by 17
Now the measures of the angles can be found from their expressions.
∠ABC = 8(12) -41° = 55°
∠CBD = 9(12) +17° = 125°
The associative property allows us to change the grouping of the factors that are
multiplied together to create what?
Answers
Answer:
Step-by-step explanation:equivalent expressions
The associative property allows us to change the grouping of the factors that are multiplied together to create an equivalent expression.
When the grouping of the addends is changed, the sum stays the same. The Associative Property of Multiplication states that when the grouping of the factors is changed, the product is the same. It is also called the Grouping Property of Multiplication. Always multiply the numbers inside the parentheses first.
What is the associative grouping property of multiplication?The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.
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