drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x, and match each solution to its number graph.
Answers
Inequalities are used to represent unequal expressions.
The inequalities are given as:
[tex]x - 99 \le -104[/tex]
[tex]x - 51 \le -43[/tex]
[tex]150 + x \le 144[/tex]
[tex]75 < 69 - x[/tex]
Start by solving for x in all the inequalities
[tex]x - 99 \le -104[/tex]
Make x the subject: Add 99 to both sides
[tex]x \le 99 - 104[/tex]
[tex]x \le -5[/tex]
[tex]x - 51 \le -43[/tex]
Make x the subject: Add 51 to both sides
[tex]x \le 51 - 43[/tex]
[tex]x \le 8[/tex]
[tex]150 + x \le 144[/tex]
Make x the subject: Subtract 150 from both sides
[tex]x \le 144 - 150[/tex]
[tex]x \le -6[/tex]
[tex]75 < 69 - x[/tex]
Make x the subject: Add x to both sides, and subtract 75 from both sides
[tex]x < 69 - 75[/tex]
[tex]x < -6[/tex]
Hence, the solutions to the inequalities are: [tex]x \le -5[/tex], [tex]x \le 8[/tex], [tex]x \le -6[/tex] and [tex]x < -6[/tex]
See attachment for the number graphs
Read more about inequalities at:
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Related Questions
What is the solution to y=12
Answers
Answer:
y=12
Step-by-step explanation:
This equation cannot be simplified further.
Hope this helped! :)
Can someone help me please
Answers
Answer:
+29 C
Step-by-step explanation:
If we find the distance between both numbers on number line and we put -2 on the negative side and +27 on the positive side we can find the distance which is 29 and this means In Milan it was warmer by: +29C
What is 540 into standard form
Answers
Answer:
5.40 x [tex]10^{2}[/tex]
Step-by-step explanation:
hoped that helped:P
Is the function f(x) = 5 - 3x even, odd, or neither? no links plz
Answers
Answer:The function is odd
Step-by-step explanation:
Answer:
x= 2 so it is even.
Step-by-step explanation:
Can someone pls help me with this question?
Use the image below
Find the slope of the line in simplest terms.
Options:
1. 8
2. 4
3. 2
4. 1/2
Answers
Answer:
I think your anwser would be 4 im not sure
Step-by-step explanation:
i’m struggling with this question. can you please help me?
Answers
Answer:
50°
Step-by-step explanation:
∠ RST = (arc QC - arc RT) / 2
= (150° - 50°) / 2
= 50°
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answers
Count them all together you will get 16!
please solve quickly
Answers
Step-by-step explanation:
first you need to find the height
V = L×W×H
the volume your given is 880mm³
length is 22mm
width is 8mm
height is unknown
furthermore
V=L×W×H
880mm³= 22mm×8mm×H
880mm³= 176mm²×H
880mm³/176mm²=176mm²/176mm²×H
5mm=H
H=5mm
Surface Area= S.Atherefore S.A=2(L×W+ W×H +L×H)
=2(22mm×8mm+8mm×5mm+22mm×5mm)
=2(176mm²+40mm²+ 110mm²)
=352mm²+80mm²+220mm²
=652mm²
Any polygon with two pairs of parallel opposite sides is a parallelogram
Answers
Answer:
It is false that any polygon with two pairs of parallel opposite sides is a parallelogram. Let's understand the answer in detail. Explanation: ... There can be other polygons that have more than 4 sides but have only two pairs of parallel sides, which can't be called a parallelogram.
Step-by-step explanation:false.
3. What is the slope of the line that passes through the points E(-1,4)
and F(2, 6)?
A.
3
2
C.
2
D.
NICO
B. -
al
NICO
3.
Answers
The slope for the lines is 2/3
3.please help me out
Answers
Answer:
125
Step-by-step explanation:
Step-by-step explanation:
5×5²
=5×5×5
=125
index form= 5³
3/5n + 15 = 10 + 2/5n
n = ?
Answers
5/1*1/5n=-5*5/1
n=-25
Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years? f(x) = 12,000(0. 12)x, with a horizontal asymptote of y = 0 f(x) = 12,000(1. 12)x, with a vertical asymptote of x = 0 f(x) = 12,000(0. 88)x, with a horizontal asymptote of y = 0 f(x) = (12,000 0. 88)x, with a vertical asymptote of x = 0.
Answers
The graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.
The given parameters are:
[tex]a = 12000[/tex] --- the initial value of the car
[tex]r = 12\%[/tex] -- the loss per year
The estimation is an illustration of an exponential function.
An exponential function is represented as:
[tex]y = a(1 -r)^x[/tex]
Rewrite as a function
[tex]f(x) = a(1 -r)^x[/tex]
Substitute values for (a) and (r)
[tex]f(x) = 12000(1 -12\%)^x[/tex]
Express 12% as decimal
[tex]f(x) = 12000(1 -0.12)^x[/tex]
Subtract 0.12 from 1
[tex]f(x) = 12000(0.88)^x[/tex]
The graph of f(x) has a horizontal asymptote at x = 0.
Hence, the graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.
Read more about exponential functions at:
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Use the relationship between the angles in the figure to answer the question Which equation can be used to find the value of x? Of x x+49-28 = 180
- 49 - 28 = 180
x + 49 + 28 = 180
x + 28 = 180
Answers
Answer:
x + 49 + 28 = 180
Step-by-step explanation:
The angle adjacent to x on the left is vertically opposite 49° and is congruent.
The 3 angles then lie on a straight line and sum to 180° , that is
x + 49 + 28 = 180
A circle has a radius of 6. 87 feet. What is the circumference of this circle? Use 3. 14 for pi. Round your final answer to the nearest tenth. Enter your answer as a decimal in the box.
Answers
The circumference of this circle to the nearest tenth is equal to 43.1 feet.
Given the following data:
Radius = 6.87 feetPie = 3.14To determine the circumference of this circle to the nearest tenth:
Mathematically, the circumference of a circle is given by the formula:
[tex]C = 2\pi r[/tex]
Where:
C is the circumference of a circle.r is the radius of a circle.Substituting the given parameters into the formula, we have;
[tex]C = 2 \times 3.14 \times 6.87[/tex]
Circumference = 43.1 feet.
Read more: https://brainly.com/question/24568309
6) A geologist collects rocks. He has three types, sedimentary, metamorphic and
igneous. The ratio of sedimentary rocks to metamorphic rocks is 2:3.
The ratio of metamorphic to igneous is 9:10.
What is the ratio of sedimentary to igneous?
Answers
Answer:
3:5
Step-by-step explanation:
s:m = 2:3
m:i = 9:10
convert m to same number so they are comparable
s:m = 6:9 (multiple so the ratio is still the same as 2:3)
m:i = 9:10 (the same thing as before)
s:i = 6:10
s:i = 3:5 (simplify)
Last week the number of bacteria in a petri dish was 2.25×
×
102
10
2
. This week the number of bacteria in the petri dish is 2.75×
×
105
10
5
. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.
Answers
Answer:
1221.2 factor increase
Step-by-step explanation:
It is difficult interpreting the numbers. I'll assume:
2.25x10^2 and 2.75x10^5
----
225
275000
The difference(increase) is 274775, or 2.75 x 10^5 to 3 sig figs
There is a (2.75 x 10^5)/(2.25x10^2) or 1221.2 factor increase in bacteria between the two weeks.
Find g (x), where g(x) is the reflection across the x-axis of f(x) = 7 [x+2]-6
Answers
I’m pretty sure it’s g(x) = 7|x-2| -6
Hope this helps!
A line through which two points would be perpendicular to the line y = 2/5x - 5/2 ?
Answers
Answer:
Step-by-step explanation:
c
Find the total surface area of the cone in the figure. (Use π = 3.14.)
A) 219.8 cm2
B) 266.9 cm2
C) 314.0 cm2
D) 282.6 cm2
Answers
Answer:
282.6 cm^2
Step-by-step explanation:
typed it into a surface area calculator and I got the answer right
Is it a expression 3x - 7
Answers
Answer:
It’s an expression.
Step-by-step explanation:
An expression is technically an equation but without the answer.
Answer:
yes
Step-by-step explanation:
The difference between an equation and an expression is that an equation as an equals sign. An equation shows that 2 expressions are equal to each other.
Expression:
[tex]3x-7[/tex]
Equation:
[tex]3x-7=5y[/tex]
which is a line of symmetry
Answers
Answer:
is there a pic?
Step-by-step explanation:
we are able to see
Help!!
What is the value of -2 xy if x = -1 and y = 6?
-12
12
8
26
Answers
Answer:
12
Step-by-step explanation:
-2xy
Let x = -1 and y =6
-2 ( -1) (6)
Multiply
2 (6)
12
Corinne tends to be a spender. Luckily, her employer offers retirement saving options for the workers. Which of the following is the best option for Corinne to start saving for retirement
now?
A. A money market account
B. A simple savings account
C. A prepaid plan
D. A matching benefit
Answers
Write an equation of the line that passes through (0, 6) and is parallel to y=5x-3
Y=
Answers
Answer:The answer should be y = 5x + 6
Step-by-step explanation:
Divide. 603 ÷ 27 = _____
22 R11
27 R1
22 R9
21 R16
Answers
Answer:
C) 22 R9
Step-by-step explanation:
Answer: C. 22 R 9
Step-by-step explanation: 603 ÷ 27 22 R 9
Help guys plzzz asapppp
Answers
sin(x) = opp/hyp
cos(x) = adj/hyp
tan(x) = opp/adj
sin(x) = 3.9/8.1
sin(x) = 0.481
Inverse sin of 0.481 = 28.8 degrees
Each answer should be between 0 and 90 :)
What is the solution to the system of equations?
Answers
Answer:
a set of values for the variable that satisfy all the equations simultaneously.
Step-by-step explanation:
search it
24a - 12b HELP Me PLZ
Answers
The lines represented by the equations y=x+5 and 2y-2x=10 are
Answers
The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.
Recall:
Two lines that are parallel will have the same slope value.Two lines that are perpendicular to each other will have slopes that are negative reciprocal of each other.Equation representing a line in slope-intercept form is: y = mx + b, where m is the slope.Given:
y = x + 5
2y - 2x = 10
The slope of y = x + 5 is 1.
Rewrite 2y - 2x = 10 in slope-intercept form to determine its slope.
2y - 2x = 10
2y = 2x + 10
Divide both sides by 2y = x + 5
Thus, the slope of y = x + 5 (2y - 2x = 10) is also 1.
The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.
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