Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
O
-5
+
4
-4
+
5
-3
-2
-1
0
1
2
3
+
-4
+
-3
+
-1
-5
+
1
+
2
-2
O
3
4.
5
.
O
+
+
o
-3
+
-1
+
1
-2
+
2
+
3
+
4
-4
-5
+
5
O
O
6
-5
-4
-3
-2
-1
0
1
2
3
4
5
Answers
The inequality equation is x > 3 and the graph is plotted
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
3(8 - 4x) < 6(x - 5)
24 - 12x < 6x - 30 (Distributive property)
Adding 30 and 12x on both sides , we get
24 + 30 < 6x + 12x
On further simplification , we get
54 < 18x
Divide by 18 on both sides , we get
x > 3
Hence , the inequality is x > 3
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Related Questions
Two stage floors are in the shape of isosceles trapezoids. The small stage floor in the drama room is
geometrically similar to the large stage floor in the auditorium, as shown below.
24
8
1211
Which proportin can be used to find the length of x, the large stage floor?
o
12
24
24
12+
12 I
8
24
1+12
Answers
Answer:b
Step-by-step explanation: you take the c of
The correct proportion that can be used to find x is 8 / 24 = 12 / x
The corresponding sides of the figures are taken into consideration.
The base of the smaller trapezium 12 ft correspond to the base of the bigger trapezium x ft. Therefore the ratio can be established as
12 / xThe other leg of the smaller trapezium 8 ft correspond to the other leg of the bigger trapezium 24 ft. Therefore, the ratio can be establish as
8 / 24The ratio must be equal to each other to prove the similarity . Therefore,
12 / x = 8 / 24The correct proportion that can be used to find x is 12 / x = 8 / 24
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A line passes through (2, 8) and (4, 12). Which equation best represents the line? (10 points)
y = 1 over 2 x + 6
y = 2x + 7
y = 2x + 4
y = 1 over 2 x + 10
Answers
Answer: y=2x+4
You first find slope which is y2-y1 divided by x2-x1 that gives you slope and then you put it into the formula y-y1=m(x-x1)
Help. Need help ASAP!!!!!!!!!!!!!!
Answers
Answer:
C
Step-by-step explanation:
18's factors are 2 * 3 * 3
The two 3s can reduce the result further. sqrt (2 * 3 * 3)
square root 18 = 3*sqrt(2)
There are two sides with this length. Their total is 3sqrt(2) + 3sqrt(2) = 6√2
The perimeter is the sum of all three sides = 6 + 6√2
5 < k -2 < 11 ?
-4 > y + 2 > -10 ?
5 -m < 4 or 7m > 35 ?
3 < 2p -3 < 12 ?
Answers
Answer:
[tex]7 < k < 13[/tex]
[tex]-6>y>-12[/tex]
[tex]m > 5[/tex]
[tex]3 < p < \frac{15}{2}[/tex]
Step-by-step explanation:
Given
[tex]5 < k -2 < 11[/tex]
[tex]-4 > y + 2 > -10[/tex]
[tex]5 -m < 4\ or\ 7m > 35[/tex]
[tex]3 < 2p -3 < 12[/tex]
Required
Solve
Solving (1):
[tex]5 < k -2 < 11[/tex]
The above can be represented as:
[tex]5<k -2[/tex] and [tex]k -2<11[/tex]
Solving [tex]5<k -2[/tex]
[tex]5 + 2 <k[/tex]
[tex]7<k[/tex]
Solving [tex]k -2<11[/tex]
[tex]k < 2 + 11[/tex]
[tex]k < 13[/tex]
So, we have:
[tex]7<k[/tex] and [tex]k < 13[/tex]
This can be combined as:
[tex]7 < k < 13[/tex]
Solving (2):
[tex]-4 > y + 2 > -10[/tex]
Split as:
[tex]-4 > y + 2[/tex] and [tex]y + 2 > -10[/tex]
Solving [tex]-4 > y + 2[/tex]
[tex]-4 - 2 > y[/tex]
[tex]-6 > y[/tex]
Solving [tex]y + 2 > -10[/tex]
[tex]y > -10 - 2[/tex]
[tex]y > -12[/tex]
So, we have:
[tex]-6 > y[/tex] and [tex]y > -12[/tex]
This gives
[tex]-6>y>-12[/tex]
Solving (3):
[tex]5 -m < 4\ or\ 7m > 35[/tex]
Solve for m in both cases:
[tex]5 - m < 4[/tex]
[tex]-m<4 - 5[/tex]
[tex]-m<- 1[/tex]
[tex]m > 1[/tex]
[tex]7m > 35[/tex]
Divide both sides by 5
[tex]m > 5[/tex]
So, we have:
[tex]m > 1[/tex] or [tex]m > 5[/tex]
The solution is [tex]m > 5[/tex] because [tex]5> 1[/tex]
Solving (4):
[tex]3 < 2p -3 < 12[/tex]
The above can be represented as:
[tex]3 < 2p - 3[/tex] and [tex]2p - 3<12[/tex]
Solving [tex]3 < 2p - 3[/tex]
Add 3 to both sides
[tex]3 + 3 < 2p - 3 + 3[/tex]
[tex]6 < 2p[/tex]
Divide both sids by 2
[tex]3 < p[/tex]
[tex]2p - 3<12[/tex]
Add 3 to both sides
[tex]2p - 3 + 3 < 12 + 3[/tex]
[tex]2p < 12 + 3[/tex]
[tex]2p < 15[/tex]
Solve for p
[tex]p < \frac{15}{2}[/tex]
So, we have:
[tex]3 < p[/tex] and [tex]p < \frac{15}{2}[/tex]
Combined as:
[tex]3 < p < \frac{15}{2}[/tex]
Need help quickly, please and thank you;
Answers
g(x) = y= -1/3x - 3
I don’t think that you have to include the y in the equations. It really depends on what your teacher wants. ;)
Hope this helps✨❤️
Merry Early Christmas!
Which of the following expressions is in simplified form?
-9+ 2.7x + 0.8
03 w+ 1.3w
62 - 4
02t - 5 - t
Answers
Answer:
None of these expressions are in simplified form.
Step-by-step explanation: So basically simplified form is that an equation/expression is till you cant combine any like terms. Liked terms are like 4 and 5 or 2x and 3x.
Number 1_ 2.7x-8.2.
Number 2_ 4.3w. Is the 03 a 3 or 0.3?
Number 3_ 58.
Number 4_ t-5. Is the 02t a 2t or 0.2t?
I hope this helps and please let me know about the questions on Number 2 and 4 that I asked about in the explanation below in the comments. Thanks!
Darlene wil borrow $2200 at 15% APR She will pay it back in 12 months
How much interest will she par? Use the table
Interest Per 5100
75 APR 996 APR 11% APR 135. APR 155 APR
Months
3
175
2.25
275
3.25
3.75
3.50
5.50
6.50
7.50
5.25
8.75
0)
8.25
975
11.25
7.00
9.00
13.00
15.00
15
8.75
13.75
16.25
18.75
10.50
13.50
16.50
19.50
22.50
Answers
Answer:
$330
Step-by-step explanation:
The Value of interest will she par is,
⇒ $ 330
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Now,
According to the table;
For a time of 12 months and at a rate of 15%,
The interest per $100 is, $15.
Therefore, for a principal of $2200 the interest will be;
⇒ $ (2200/100) × 15
⇒ $ 330
Thus, Value of interest will she par is,
⇒ $ 330
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(X-6)^2 multiply and expand
Answers
Answer:
x² - 12x + 36
Step-by-step explanation:
Given
(x - 6)² = (x - 6)(x - 6)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 6) - 6(x - 6) ← distribute both parenthesis
= x² - 6x - 6x + 36 ← collect like terms
= x² - 12x + 36
slope m=-2, point: (4,3)
Answers
Answer:
Step-by-step explanation:
(y - 3) = -2(x - 4)
y = -2x + 8 + 3
y = -2x + 11
pls give brainliest
Answer:
The the linear equation in point-slope form is
[tex]y-3 = -2 (x-4)[/tex]
Step-by-step explanation:
Given
slope = m = -2point (4, 3)We know that the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here:
m is the slope(x₁, y₁) is the pointsubstituting the values m = -2 and the point (4, 3) in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-3 = -2 (x-4)[/tex]
Thus, the the linear equation in point-slope form is
[tex]y-3 = -2 (x-4)[/tex]
Note: This equation could be further simplified to write it in the slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so writing the equation in the slope-intercept form
[tex]y-3 = -2 (x-4)[/tex]
[tex]y-3 = -2x+8[/tex]
[tex]y=-2x+8+3[/tex]
[tex]y=-2x+11[/tex]
Thus, the equation is the slope-intercept form is
[tex]y=-2x+11[/tex]Find the constant and exponents of 7y + x-5 + 2
Answers
Answer:
Exponents: 1
Constants: -5, 2
Step-by-step explanation:
7y + x - 5 + 2
Exponents: 1
Constants: -5, 2
12
11
14
15
13
16
17
>
19
19
20
0
Which property was used to write the equation in step 2?
Step 1: 5(x-7) - 55
Step 2 5x-35-55
Step 3 (5x=90
Step 4
X = 18
VA
distributive property
o addition property of equality
o subtraction property of equality
o division property of equality
Yes
Answers
Answer:
distributive proper
Step-by-step explanation:
mulitiply
Help me pleaseeee I would be happy
Give a real-world scenario where positive and negative numbers represent opposites
1.what do the positive numbers represent?
2 what do zero represent in this scenario?
3 what do the negative number represent?
Answers
Answer:
how much you have ( tommy plucked 6 apples from a tree)
have nothing (tommy gave away 6 apples)
have less than 0 ( tommy gave away 6 apples)
6-6=0
Step-by-step explanation:
Which one should I choose
Answers
Answer:
D: - 64
Step-by-step explanation:
you replace x with 2. 4 to the second power is 16 and then you multiply by -4
BRAINLIEST AND EXTRA POINTS IF U HELP !
Gina has 26 more barrettes than Holly.
The equation g = 26 + h, where g represents the number of barrettes Gina has, and h represents the number of barrettes Holly has, shows this relationship.
If Gina has 49 barrettes, how many barrettes does Holly have?
A. 23
B. 72
C. 75
D. 19
Answers
Answer:
its A 23
Step-by-step explanation:
Answer:
hey
Step-by-step explanation:
help for cookie !!!!!!
Answers
Answer:
hi
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
8x - 5x + 4 - x = Ax + 8 ------- start by combining the on the left
(8x - 5x - x) + 4 = Ax + 8 ------- solve
2x + 4 = Ax + 8 ------ A has to be the same # as the variable on th left side
2x + 4 = 2x + 8 ------- now subtract 2x from both sides
4 = 8
Find the a2, a3, and a4 terms of the sequence defined as:
Answers
Answer:
[tex] a_2 =\frac{1}{2}\\\\
a_3 =2\\\\
a_2 =\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]a_1 = 2......(given)\\\\
a_n =\frac{1}{a_{n-1}}\\\\
Plug\: n = 2\\
a_2 =\frac{1}{a_{2-1}}=\frac{1}{a_1}=\frac{1}{2}\\\\
Plug\: n = 3\\
a_3 =\frac{1}{a_{3-1}}=\frac{1}{a_2}=\frac{1}{\frac{1}{2}}=2\\\\
Plug\: n = 4\\
a_4 =\frac{1}{a_{4-1}}=\frac{1}{a_3}=\frac{1}{2}\\\\[/tex]
HELPPPPPpPpppppppppppp
Answers
Answer:
360000
Step-by-step explanation
Step-by-step explanation:
36000
move the decimal to right 4 time then fill the blank with 0
example: 3.6×10⁴ = 36000
note: if the power is positive mo right, if negativw movw the decimal point to left
Write the slope -intercept form of the given line.include your work in your answer.Type your answer in the box provided or
Answers
In the following equation, f(x)=2x +7, what is f(-3)?
Answers
Answer:
f(-3) = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 2x + 7
f(-3) is x = -3
Step 2: Evaluate
Substitute: f(-3) = 2(-3) + 7Multiply: f(-3) = -6 + 7Add: f(-3) = 1........................
Answers
Answer:
Ello
Step-by-step explanation:
........................
Hey! Help me with this Question Please!
Answers
Answer:
c
Step-by-step explanation:
beacuse if you multiply all
Answer:
C
Step-by-step explanation :
The side length is 30 and if it's 3cm for 5 that would be 18, and since we are doing area we need to multiple that 18 by itself since it's a square and squares side lengths are the same
Which of the following transformations always preserve the orientation of a figure?
1- Translations
2- Rotations
3- Reflections
4- None of them
Answers
Answer:
Translation
Step-by-step explanation:
Translation is when something moves or slide. Orientation refers to the way it is facing or turned.
The required given statement is Reflections is transformations always preserve the orientation of a figure.
What are transformations?
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Given:
The given statement is which transformations always preserve the orientation of a figure.
According to given question we have
Reflection is a type of transformation in which the given image is flipped across a line of reflection to create the transformed image. In this transformation, dimensions of the figure is always preserved.
In a translation, the preimage and image have the same orientation. In a rotation, the orientation of the preimage is changed. Both are rigid transformations.
Therefore, the required given statement is Reflections is transformations always preserve the orientation of a figure.
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Ja’Miya needs to save $84. She has saved $63. What percent of the money she needs , has she saved
Answers
Answer:
75%
Step-by-step explanation:
63/84 = .75
.75= 75%
Help find the measure of the angle indicated!!!?
Answers
Answer:
50°
Step-by-step explanation:
[tex]m\angle RST = \frac{1}{2} \times (150\degree - 50\degree) \\\\
m\angle RST = \frac{1}{2} \times 100\degree \\\\
\purple{ \bold{m\angle RST =50\degree}} \\\\[/tex]
Help don’t understand
Answers
Answer:
Wait u don’t understand what is there supposed to be a pick or something?
Step-by-step explanation:
What is cot(< a)?
Reduce fractional answers to lowest terms.
Answers
Answer:
The value of cot (∠A) = 3/4
Step-by-step explanation:
Given the angle ∠A of a right-angled triangle
The opposite of ∠A = 4The adjacent of ∠A = 3We know that the trigonometric ratio
cot (∠A) = adjacent / opposite
= 3/4
Thus, the value of cot (∠A) = 3/4
SOMEONE AWNSER FAST PlS
Answers
Answer:
15X - 11 = <LMN
Step-by-step explanation:
add the two expressions together
3. Which of the following objects does not have three dimensions?
a cube
a house
a soda can
a line
Answers
Samir is a self-employed marketing consultant. He had no income from January through March 2020. His April through December 2020 income subject to SE tax is $55,000.
Samir's SE tax for 2020 is $7,771 [$55,000 x 0.9235 x 0.153 = $7,771]. Samir may reduce his estimated tax payments by how much?
Answers
Answer:
Step-by-step explanation:
Since he is his own boss, he is basically a self employed taxpayer and should be to deduct the employer portion of self employment taxes that he/she pays during the year.
In a case like this, the total self employment taxes are $7,771 x 50% = $7,771 * 0.5 = $3,885.50. This money also now, is corresponding to employer taxes (the other 50% are not deductible since they correspond to employee taxes).
Self employment taxes composes but not limited to Medicare and Social Security taxes (FICA taxes basically).
25
Find the inequality represented by the graph.
Answers
Answer:
y > 4x - 2Step-by-step explanation:
First, let's find the equation of the line.
Use points (0, -2) and (1, 2) on the graph.
The y-intercept is (0, -2), find the slope:
m = (y2 - y1)/(x2 - x1) = (2 - (-2))/(1 - 0) = 4/1 = 4The line is:
y = 4x - 2Now, we see the line is dotted and the space to the left side is shaded.
Dotted line means the inequality doesn't include the points on the line, therefore the sign would be > or <.
Since the left side of the line includes greater values of the function, it should have > sign.
So the inequality is:
y > 4x - 2