Answer:
give picture
Step-by-step explanation:
Solving inequalities with addition is similar to solving equations with addition in the initial steps, but it differs in the final answer due to the inequality sign. In both cases, you use addition to isolate the variable. However, with inequalities, you must consider the direction of the sign throughout the process.
When solving inequalities with addition, like equations, the goal is to isolate the variable on one side. You use addition to simplify the expression. Begin by treating the inequality like an equation, adding or subtracting the same value to both sides to eliminate constants and isolate the variable.
For example, if you have [tex]\(2x + 5 > 10\)[/tex], subtract 5 from both sides to get [tex]\(2x > 5\)[/tex].
Here's where it diverges: since inequalities involve the relationship between two quantities, you need to be mindful of the inequality sign. When you multiply or divide both sides by a negative number, the inequality direction flips.
For example, if you multiply [tex]\(x < 3\)[/tex] by -2, the sign changes to [tex]\(x > -6\)[/tex].
Remember, you're looking for a range of values that satisfy the inequality. So, when representing your final answer, use the appropriate inequality sign. For instance, if [tex]\(3x + 2 \leq 8\)[/tex], after simplifying, you'll have [tex]\(x \leq 2\)[/tex], indicating that any value of [tex]\(x\)[/tex] less than or equal to 2 satisfies the inequality.
In summary, while solving inequalities with addition is akin to solving equations with addition in the initial steps, the crucial distinction lies in managing the inequality sign throughout the process and representing the solution as a range of values that satisfy the inequality.
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Complete Question:
How is solving inequalities with addition is similar to or different from solving equations with addition ?
help me with this please
Answer: 65
Step-by-step explanation:
Solve for x
please give an explanation
[tex]293 {8}^{?} \sqrt{96} [/tex]
Can someone plsss help me with the 2 one
Answer: [tex]\sqrt{73}[/tex] for number 7
Step-by-step explanation:
a²+b²=c²
3²+8²=c²
9+64=c²
[tex]\sqrt{73}=\sqrt{c^2}\\\sqrt{73}=c[/tex]
hi pls help me thanksss
pls provide me with workings thankss :)
Step-by-step explanation:
(i)
Using cos(a - b) = cos a cos b + sin a sin b
[tex]\frac{4}{5}[/tex] = cos a cos b + [tex]\frac{1}{5}[/tex]
cos a cos b = [tex]\frac{4}{5} -\frac{1}{5} = \frac{3}{5}[/tex]
(ii)
Using cos(a + b) = cos a cos b - sin a sin b
cos(a + b) = [tex]\frac{3}{5}-\frac{1}{5}=\frac{2}{5}[/tex]
(iii)
Using cot a = [tex]\frac{cos a}{sin a}[/tex]
[tex]=(\frac{cos A}{sin A} )(\frac{cos B}{sin B} )[/tex]
[tex]=\frac{cos A cos B}{sin A sin B}[/tex]
[tex]=\frac{\frac{3}{5} }{\frac{1}{5} }[/tex] [tex]=\frac{3}{5}[/tex] × [tex]5[/tex]
= 3
please give me a brainliest answer
plz help answer the following questions
Hi I really need help with this question, ANSWERS ONLY, I'll give 35 POINTS, PLEASE
What is the positive conterminal angle to -32° that is between 500° and 1000° and a negative conterminal angle to -32° that is between -500° and -50°?
positive coterminal angle:
negative coterminal angle:
Answer:
0° and 90°, it's Ql. If between 90° and 1800 QQ. ... Find a positive and a negative conterminal angle for the given angle.
Step-by-step explanation:
The positive and negative coterminal angles to -32° are:
Positive coterminal angle = 688°
Negative coterminal angle = -392°
What is a coterminal angle?Coterminal angles are those whose terminal sides and beginning sides coincide.
The given angle measure is -32°.
The positive coterminal angle is:
-32° + 360°
= 328°
Since the angle is not between 500° and 1000°, add 360° one more times:
328° + 360°
= 688°
The negative co-terminal angle is:
-32° - 360°
= -392°
Hence, the positive and negative coterminal angles to -32° are:
Positive coterminal angle = 688°
Negative coterminal angle = -392°
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A city bus goes 18miles in 30 minutes . HOW far does it go in 2 minutes?
Answer:
the city bus would cover 6 miles in 10 minutes.
Step-by-step explanation:
18 miles = 30 minutes
? miles = 10 minutes
cross multiply
? x 30 = 18 x 10 (180)
? = 180/30
? = 6
the city bus would cover 6 miles in 10 minutes.
Find the EQUATION of the line through (-10,-12) and (-15,3). Use the form y=mx+b.
A 144-inch board is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.
The shorter piece is inches long.
Answer:
shorter piece is 28.8 inches
Step-by-step explanation:
Answer28.8
Step-by-step explanation:
28.8 x 5 = 144
An investor invests $525 in stock. For each month following, the stock increased at a rate of $25 per
month
Identify the slope of the linear relationship. Explain what the slope represents in the context of the
problem
• identify the y-intercept of the linear relationship. Explain what the y-intercept represents in the
context of the problem.
Create a model/build the function/write the equation in slope-intercept form to represent the total
value of the stock, f (2), based on the number of months, I.
Answer: f(x) = mx+ b
slope = m = $25 / month
This means that for every month (x) that goes by, the total value of the stock (f(x)) will increase by $25.
y-intercept = b = $525
This is the amount of money in the account at time = 0. This will be equal to the original investment of $525.
f(x) = mx+ b = 25x + 525
Step-by-step explanation:
1/5 divided by 2/3 help meee loll
Answer:
3/10 or 0.3
Hope this helps
the awnser is 0.3 .......................
3over 7 = blank over 35
Let blank be x
[tex]\\ \sf\longmapsto \dfrac{3}{7}=\dfrac{x}{35}[/tex]
[tex]\\ \sf\longmapsto 7x=35(3)=105[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{105}{7}[/tex]
[tex]\\ \sf\longmapsto x=15[/tex]
PLEASE HELP!!
(04.03)
Given the function g(x) = 5(2)^x, compare the average rate of change from x = 1 to x = 2 and from x = 3 to x = 4.
How many times greater is the average rate of change from x=3 to x=4 than from x=1 to x=2?
О 4 times
O 5 times
O 2 times
O The average rate of change of Section B is not greater than the average rate of change of Section A.
Answer: Choice A. 4 times
========================================================
Explanation:
We'll be using this formula
[tex]m = \frac{f(b)-f(a)}{b-a}[/tex]
to compute the average rate of change (AROC) from x = a to x = b. Note how this is effectively the slope formula because y = f(x).
To start things off, we'll compute the AROC from x = 1 to x = 2.
[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(2)-g(1)}{2-1}\\\\m = \frac{5(2)^2-5(2)^1}{2-1}\\\\m = \frac{10}{1}\\\\m = 10\\\\[/tex]
Do the same for the AROC from x = 3 to x = 4.
[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(4)-g(3)}{4-3}\\\\m = \frac{5(2)^4-5(2)^3}{4-3}\\\\m = \frac{40}{1}\\\\m = 40\\\\[/tex]
The jump from m = 10 to m = 40 is "times 4", which is why choice A is the final answer.
Help lolz- Acellus Write 0.34 as a fraction using the steps below
Answer:
Step-by-step explanation:
3.1x10 = 31, and 9x10=90, so the fraction is 31/90, whcih equals 3.44444444 . . .
Write a unit rate for each situation . 20$ saved in 4 weeks
Answer:
so the answer is 5
Step-by-step explanation:
20/4=5
In a student president race student A received 9 votes received by student B if student A received 540 votes, how many votes did student B receive?
Answer: 60 Votes
Step-by-step explanation:
540 divded by 9 which equals 60 votes.
So Student B received 60 votes.
60 votes was received by student B.
540/9=60
a³-a²b-ab²+b³hihihihihihihi
pls help ASAPPPP11!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It's between 0 and 1
Step-by-step explanation:
1/64 = 0.015625
The perimeter of a triangle is 65 cm. The
lengths of the sides are x cm, x+8 cm, and
X+ 12 cm.
What is the length, in cm, of the longest side of
the triangle?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The longest side measures :
[tex]27\: \: cm[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
Perimeter of a triangle is equal to sum of measures of its all three sides, that is :
[tex]x + x + 8 + x + 12[/tex]and according to the question, the perimeter of the triangle is = 65 cm
so, let's equate both the expressions to find value of x :
[tex]x + x + 8 + x + 12 = 65[/tex][tex]3x + 20 = 65[/tex][tex]3x = 65 - 20[/tex][tex]3x = 45[/tex][tex]x = 45 \div 3[/tex][tex]x = 15[/tex]The longest side of the Triangle is :
[tex]x + 12[/tex][tex]15 + 12[/tex][tex]27 \: \: cm[/tex]27cm
Step-by-step explanation:
(xcm) + (x+8cm) + ( x+ 12cm) = 65cm
Open Bracket
xcm + x+8cm + x+12cm = 65cm
3x+ 20cm = 65cm
Collect like terms
3x = 65cm - 20cm
3x = 45cm
Divide both sides by 3
3x/3 = 45cm/3
x = 15cm
The longest side of the triangle =( x+12cm)
= (15+12)cm= 27cm
Find the upper quartile for the data. {9, 6, 13, 8, 8, 10, 9.5, 8, 7.5, 8.5}
A. 9
B. 9.5
C. 10
D. 8.5
Answer:
the answer is 9.5 (B)
Step-by-step explanation:
I WILL GIVE YOU BRAINYIST IF YOU ANSWER THIS FOR ME
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Can someone help me with number 8 :(
Answer:
a1=5
d=9-5=4
a20=5+19×4=81
A clothing business finds there is a linear relationship between the number of shirts, n ,it can sell and the price, p , it can charge per shirt. In particular, historical data shows that 1000 shirts can be sold at a price of $66, while 10000 shirts can be sold at a price of $48. Give a linear equation in the form p
Answer: p = [tex]\frac{-n}{500} +68[/tex]
Step-by-step explanation:
Let n represent the number of shirts and p represent the price, the there is a linear relationship between n and p, then the model equation is given as:
p = mn + b, where
m = slope and b is the intercept
From the question, when n = 1000, p = $66
And, when n = 10,000 , p = $48
The formula for finding slope is given as:
m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
[tex]y_{1} = 66[/tex]
[tex]y_{2} = 48[/tex]
[tex]x_{1} = 1000[/tex]
[tex]x_{2} = 10000[/tex]
substituting the values,
m = [tex]\frac{48-66}{10000-1000}[/tex]
m = [tex]\frac{-18}{9000}[/tex]
m = [tex]\frac{-2}{1000}[/tex]
m = [tex]\frac{-1}{500}[/tex]
The linear equation thus becomes
p = [tex]\frac{-n}{500}+b[/tex]
To find the value of b, substitute p = 66 and n =1000 into the equation
That is,
66 = [tex]\frac{-1000}{500}+b[/tex]
66 = -2 + b
68 = b
Therefore b = 68
The linear equation is therefore
p = [tex]\frac{-n}{500} +68[/tex]
Someone help me I will mark you as brain
Answer:
- 1
Step-by-step explanation:
-3 (-3) -10
9 - 10 = -1
george is building a fence at a consent rate of 1/3 section of fence every 1/2 hour at the rate. what fraction represents the section iof fence george can build per hour
Item 1
What is the slope of the line on the graph?
WORTH 20 POINTS
Enter your answer in the box.
Answer:
-2
Step-by-step explanation:
Hope it helps
8z + 6 = 7z + 4
I need help with it please show the steps
triangular field having the length of sides are 42m, 34m and 20m respectively. find the area of the field (need this answ with full explanation)
Answer:
[tex]A = 336[/tex] [tex]m^{2}[/tex]
Step-by-step explanation:
Using the formulas
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]s=\frac{a+b+c}{2}[/tex]
Solving for [tex]A[/tex]
[tex]A=\frac{1}{4} \sqrt{-a^{4}+2(ab)^{2} +2(ac)^{2} -b^{4} +2(bc)^{2}-c^{4} }[/tex]
[tex]=\frac{1}{4} *\sqrt{-42^{4} +2*(42*34)^{2}+2*(42*20)^{2} -34^{4} +2*(34*20)^{2} -20^{4} }[/tex]
[tex]=336m^{2}[/tex]
Answer:
✌ just because that what the answer is I just know it cuz im right
Classify the quotient as positive, negative, or zero - 25 ÷ - 5
Answer:
-25÷-5= 5 The quotent is positive.
Step-by-step explanation:
positive+positive=positive
negative+negative= positive
positive+negative=negative
negative+positive=negative
The ratio of men to women working for a company is 4 to 5. If there are 110 women working for the company, what is the total number of employees?
Answer:
198
Step-by-step explanation:
?/4 110/5
cross-multiply 4*110
440
divide 440/5
88 men
add total employees
110 women + 88 men = 198