PLEASE HELP SOON!
Simplify the inequalities and match them with the graphs that represent them.
(look at the screen shot)
Answers
Answers:
Graph A matches with 7x < 42Graph B matches with x+1 < 8Graph C matches with 3x > 15Graph D matches with 2x > 12===================================================
Explanation:
For each inequality given, we need to isolate x. We'll solve for x in pretty much the same way we solve an equation. So if we wanted to solve 2x = 12, we would divide both sides by 2 to get x = 6.
Similarly, solving 2x > 12 would lead to x > 6. The inequality sign does not flip. It only flips if you divide both sides by a negative number.
The graph of x > 6 has an open hole at 6 and shading to the right. So that matches with graph D.
---------------------
Solving 7x < 42 leads to x < 6 when we divide both sides by 7. The graph has the open hole at the same endpoint of 6, but now the shading is to the left. This shows all values smaller than 6. Therefore 7x < 42 matches with graph A.
---------------------
We have 3x > 15 match with graph C because that inequality is the same as x > 5, after we divide both sides by 3. We have an open hole at 5 and shading to the right.
---------------------
Lastly, the inequality x+1 < 8 solves to x < 7. We'll have an open hole at 7 and shading to the left. This describes graph B.
Any time you see an open hole, it means "do not include this value as part of the solution set". For instance, with x < 7, we have x = 7 as the open hole. This is because 7 < 7 is a false statement. A number cannot be smaller than itself.
Related Questions
Type the correct answer in each box.
,
then a = and b = .
Answers
Answer:
a = 0, b = -15
Step-by-step explanation:
Given the following complex number;
x1 = 3(cosπ+isinπ)
x2 = 5(cosπ/2 - isinπ/2)
x1x2 = 15(cosπcosπ/2 - icosπsinπ/2+isinπcosπ/2 -i²sinπsinπ/2)
x1x2 = 15(0 - i(-1)+0 -0)
x1x2 = 15(-i)
x1x2 = -15i
x1x2 = 0-15i
Since
0 - 15i = a+ bi
Compare
a = 0
-15- = bi
b = -15
Hence a = 0, b = -15
There is a bag filled with 2 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?
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Answer:
Question:
A bag with 2 blue (B), 4 red (R) and 5 green (G) marbles (total 11 marbles).
Two are drawn at random without replacement.
Find probability of getting two marbles of same colour.
Solution:
We can get either 2B, 2R or 2G as successful outcomes.
To get two blue marbles (2B),
probability of the first one being blue = P(B)=2/11
probability of the second blue marble = P(-B)=1/10 (one left out of 10 left)
Probability that both are blue (use multiplication rule)
P(2B)=(2/11)(1/10)=2/110
Similarly, for two red marbles
P(2R)=(4/11)(3/10)=12/110
and for two green marbles
P(2G)=(5/11)(4/10)=20/110
Since all three events 2B, 2R and 2G are mutually exclusive, the probability
that any one can happen is the sum of the individual probabilities, thus
probability of getting two marbles of the same colour (without replacement)
=P(2B)+P(2R)+P(2G)
=2/110 + 12/110 + 20/110
=34/110
= 17/55
Step-by-step explanation:
4/11
hope this helps
Solve the system of equations below.
{X – y= 7
{2 – y= -4
O (5,2)
O (2,5)
O Ø
O Infinite
Answers
Answer:
fewaaaaa
Step-by-step explanation:
Determine which function has a greater initial value and explain how you know.
function 1: y=2(1/3)^x
Answers
Answer - Function 2
Function 1 - y = 2x (1/3)^x x = 0 =2*0*1 = 0
Function 2 have the value for 3 for x = 0
Function 2 is greater
A quadratic pattern has a second term equal to 1,a third term equal to -16 and a fifth term equal to -14
1.1.1.calculate the second difference of this quadratic pattern
1.1.2.hence or otherwise,calculate the first term of term
Answers
Answer:
1.1.1. The common difference is 12
1.1.2. The first term is 30
Step-by-step explanation:
1.1.1. The given quadratic pattern is presented as follows;
The 2nd term = 1
The 3rd term = -16
The 5th term = -14
Let 'd' represent the second difference, we have;
1 + 2d + a = -16
2·d + a = -16 - 1 = -17
2·d + a = -17...(1)
-16 + 3d + a + 4d + a = -14
7·d + 2·a = -14 + 16 = 2
7·d + 2·a = 2...(2)
Making 'a' the subject of both equation (1) and (2) gives;
a = -17 - 2·d
a = 1 - 7/2·d
∴ -17 - 2·d = 1 - 7/2·d
(7/2)·d - 2·d = 1 + 17
(3/2)·d = 18
d = (2/3) × 18 = 12
The common difference, d = 12
a = -17 - 2·d = -17 - 2 × 12 = -41
1.1.2. Let 'x' represent the first term, we have;
x + a + d = 1
x = 1 - (a + d)
x = 1 - (-41 + 12) = 30
The first term, x = 30
Use your knowledge of special cases to solve the problem.
( 3a - 2b )2 = ??
a) 9a^2 + 12ab + 4b^2
b)9a^2 - 4b^2
c)9a^2 - 12ab + 4b^2
Answers
Answer:
C
Step-by-step explanation:
We want to simplify:
[tex](3a-2b)^2[/tex]
Recall the perfect square trinomial pattern:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Let a = 3a and b = -2b. Thus:
[tex](3a-2b)^2=(3a)^2+2(3a)(-2b)+(-2b)^2[/tex]
Simplify:
[tex]=9a^2-12ab+4b^2[/tex]
Our answer is C.
Please help me with the question please ASAP ASAP please please help ASAP ASAP please please help please
Answers
Answer:
x = 15 ft
Step-by-step explanation:
Triangle ACD is similar to triangle ABE based on the information given, therefore we can set up a proportion to compare the sides:
side AE / side EB = side AD / side DC
4/6 = 10/x
Solve for x
x = (10)(6) / 4
x = 60 / 4
x = 15 ft
Find AB, BC, and BC. Round to the nearest tenth
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Answer:
i need more space to send the pic i did the math tho
Step-by-step explanation:
What improper fraction is equal to 8 1/6?
Answers
Answer:
Conversion a mixed number 8 1/6 to a improper fraction: 8 1/6 8 1/6 / 1 7/8 = 196/
45
= 4 16/
45
≅ 4.3555556
hope this helps you
Step-by-step explanation:
I need some help on this if possible
Answers
where C is the circumference, d is the diameter and r is the radius.
The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. The radius of the circle is a line segment from the center of the circle to a point on the circle. The diameter of a circle is twice the length of its radius.
If you are given the diameter then use the formula C = πd
If you are given the radius then use the formula C = 2πr
Step-by-step explanation:
8. You are building a word bank for math word problems. A synonym that may be
used in a word problem involving additions might be:
A) sum
B) product
Ο Ο Ο Ο
C) quotient.
D) difference
Answers
Product involves multiplication, quotient involves division, and difference involves subtraction.
What is the vertex of the function h(x) = (x+ 6 + 3? O A. (-6,-3) O B. (-6,3) OC. (6,3) OD. (6,-3)
Answers
Answer:
The vertex is ( -6, 3)
Step-by-step explanation:
h(x) = |x+ 6| + 3
Inside the absolute value is the h or the x coordinate of the vertex
Outside is the k or the y value of the vertex
It is in the form
h(x) = |x-h| + k where (h,k) is the vertex
h(x) = |x - -6| + 3
The vertex is ( -6, 3)
Answer:
B. (-6, 3)Step-by-step explanation:
Given function:
h(x) = |x + 6| + 3This is the translation of f(x) = |x|, 6 units left and 3 units up
So the vertex is (-6, 3)
Correct choice is B
A swimmer is racing to the other side of the
pool. The pool is 75 feet long. The
swimmer travels 2.5 feet per second. Create
a graph to represent the swimmer's distance
to the other side of the pool with relation
to time.
Answers
y intercept is 75 and x intercept is 75/2.5=30
The graph of the equation y = -25x + 75 is attached.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Since the pool is 75 feet long, hence b = 75. Also the swimmer travels 2.5 feet per second to the other side, hence m = -25
The equation becomes:
y = -25x + 75
The graph of the equation y = -25x + 75 is attached
Find out more at: https://brainly.com/question/13911928
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
20%
Step-by-step explanation:
9/45
To conduct an experiment, researches randomly select six students from a class of 20. How many different groups of six students are possible?
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Answer:
3.33
Step-by-step explanation:
20 divided by 6 equals 3.33333333333
Round that you get 3.33
Two similar triangles are shown. Triangle X Y Z is reflected across a line and dilated to form smaller triangle Q A G. ΔXYZ was dilated, then _____________, to create ΔQAG. translated reflected dilated rotated
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Answer:
The answer is reflected . Triangle XYZ was dilated, then reflected to create triangle QAG. Explanation :-A dilation is a rigid transformation which creates a similar image as the real shape but with different size. A reflection is a rigid transformation which creates a mirror image of the original shape without changing its size.
Step-by-step explanation:
Answer
Reflected
Step-by-step explanation:
Took test EDGE 2021X
Solve for the nearest whole number
Solve for the missing angle
Answers
Answer:
33°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{11}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{6}{11}[/tex] ) = 33° ( to the nearest whole number )
help asap i will give brainly to first person to anwser
Answers
Answer:
The answer is 8
Step-by-step explanation:
7x-9=4x+15
7x-4x=15+9
3x=24
x=24/3
x=8
pls mark BRAINLIEST
Answer:
m<ABC=<7x-9=7×8-9=47° is your answer
Step-by-step explanation:
4x+15=7x-9 vertically opposite angle
15+9=7x-4x
x=24/3=8
Multiply -90/11 by -55/72 with explanation...
Pls fast...Will mark Brainliest for the best one...
Answers
Answer:
25/4
Step-by-step explanation:
Multiplying numerators gives 4950 and multiplying denominators gives 792. 4950/792. simplify to get simplest form as 25/4
Answer:-6.25
Step-by-step explanation:
Mary is booking a 3-night stay at a hotel. The rate is $69 per room plus tax. If
state tax is 6%, city tax is 2%, and municipal tax is 1%, what is her total
lodging cost?
A. $273.12
B. $128.62
C. $182.62
D. $225.63
Answers
6% of 207 = 12.42
2% of 207 = 4.14
1% of 207 = 2.07
12.42 + 4.14 + 2.07 = 18.63
207+18.63 = 225.63
The cost of Mary's lodging cost is A = $ 225.63
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.
Given data ,
Let the total lodging cost be represented as A
First, let's calculate the total tax percentage
6% + 2% + 1% = 9%
So, Mary will pay 9% tax on the room rate of $69 per night.
Total room rate for 3 nights = 3 x $69 = $207
Total tax amount = 9% of $207 = $18.63
On simplifying the equation , we get
Therefore, Mary's total lodging cost will be:
A = $207 + $18.63 = $225.63
Hence , the total lodging cost is A = $ 225.63
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ5
Please help me! I’m giving brainliest to whoever is right first
Answers
Answer:
y = 10
x = 17
Step-by-step explanation:
4y - 3 = 37
4y = 37 + 3
4y = 40
y = 40 / 4
y = 10
3x - 9 = 42
3x = 42 + 9
3x = 51
x = 51 / 3
x = 17
Hope that helps!
Answer:
x = 17
y = 10
Step-by-step explanation:
Parallel sides are equal in length, so set them equal to each other.
3x - 9 = 42 --> Add 9 to both sides.
3x = 51 --> Divide both sides by 3.
x = 17
4y - 3 = 37 --> Add 3 to both sides.
4y = 40 --> Divide both sides by 4.
y = 10
Find the value of x.
Answers
Answer:
x = 12
Step-by-step explanation:
x² = 24 x 6 = 144
x = 12
A right rectangular prism is shown with some measurements given in units. The length of the diagonal from point a to point B is 13 units
Answers
Answer:
Step-by-step explanation:
The diagonal of a three dimensional rectangle is defined as
d^2=x^+y^2+h^2 solving for h
h^2=d^2-x^2-y^2
h^2=13^2-3^2-4^2
h^2=169-9-16
d^2=144
d=12
Question 7 of 10
What is the slope of the line shown below?
10+
O A. -2
5+
B. 6
(2, 2)
5
10
15
.102
SUBMIT
Answers
Answer:
Slope = 2Step-by-step explanation:
co-ordinates = (2,2) and (-1,-4)
Slope = (y² - y¹) / (x² - x¹)
= (-4 - 2) / (-1 - 2)
= -6 / -3
= 6/3
= 2
A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from
2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a strategy for
estimating the total output of wheat, in tons, in 2015?
Answers
Answer:
Step-by-step explanation:
[tex]19.8(1.098)(1.051)\approx 22.8 tons[/tex]
At a sale, coats were sold for 52% of their original price. If the coats originally cost $200 each, how much did a coat cost on sale?
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Answer is 104
Step-by-step explanation:
How Many solutions are there for the
following system.
y = x² - 5x + 3
Y = x - 6
Answers
PLEASE HELP WILL ADD BRAINLIEST!!!!!!
The area of a rectangle can be represented by the expression
x^2+2x-3
If the dimensions of the rectangle are known to be the factors of the expression, write each dimension of this rectangle as a binomial. (Write the two binomial factors that you are mulitplying together to get the area).
Answers
Answer:
I believethe answers are (x-1)(x+3)
Step-by-step explanation:
x^2 + 2x - 3 can be simplified to
(x+3)(x-1)
The factors of this expression are therefore (x+3) and (x-1)
The binomial of each dimension is:
x+3
x-1
What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)? O A. (2,4) O B. (1,4) O C. (1,2) O D. (2, 2)
Answers
Answer:
C) (1, 2)
Step-by-step explanation:
Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]
[tex]= (\frac{-2+4}{2},\frac{-2+6}{2})\\\\=(\frac{2}{2},\frac{4}{2})\\\\=(1,2)[/tex]
Pls help pls pls pls pls URGENT!!!!!!!!
PLS SOMEONEEEEE
Answers
male students that don’t: 30
Answer:
1. 51
2. 30
Step-by-step explanation: