Answer: x^2+2x-8<0
Step-by-step explanation:
A. x^2 - 2x - 8 < 0
(x - 4)(x + 2) < 0
B. x^2 + 2x - 8 < 0
(x + 4)(x - 2) < 0
C. x^2 - 2x - 8 > 0
(x - 4)(x - 2) > 0
D. x^2 + 2x - 8 > 0
(x + 4)(x - 2) > 0
When you test a point in the interval between -4 and 2, for example 0, it is negative.
[tex]x^2+2x-8 < 0[/tex] represents the given solution set.
What is known as inequality?A mathematical expression in which left hand side is not equal to right hand side is known as inequality.
The given solution set is x>-4 and x<2
Option A: [tex]x^2-2x-8 < 0[/tex]
(x+2)(x-4)<0
x<-2 and x<4
Option B: [tex]x^2+2x-8 < 0[/tex]
(x-2)(x+4)<0
x<-4 and x<2
Option C: [tex]x^2-2x-8 > 0[/tex]
(x+2)(x-4)>0
x>4 and x>-2
Option D: [tex]x^2+2x-8 > 0[/tex]
(x-2)(x+4)>0
x>-4 and x>2
Hence, [tex]x^2+2x-8 < 0[/tex] represents the given solution set.
Learn more about inequality here:
https://brainly.com/question/16792145
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if it is 9:39 what time would it be a hour and a half later
Answer:
It would be 11:09
Answer:
11:09
Step-by-step explanation:
30 mins after 9:30 is 10pm,add an hour that's 11 pm plus the 9 additional minutes its 11:09
3/5(1 + p) = 21/20
find the solution to p
Answer:
3/4
Step-by-step explanation:
3/5(1+p)-21/20
3/5+3/5p=21/20
3/5p=21/20-3/5
3/5p=21/20-12/20
3/5p=9/20
p=9/20÷3/5
p=9/20*5/3
p=45/60
p=3/4
Explain what mistake was made in the problem below and what should be the
right answer.
Student Work:
2(x + 4) – 8 = 3x+10-4
2x + 8–8 = 3x + 6
2x = 3x + 6
- 3x – 3x
X = 6
Answer:
Instead of moving the 3x to the opposite side of the equation they moved the 2x. And the correct answer is x=-6 not x=6.
Step-by-step explanation:
Student Work:
2(x + 4) – 8 = 3x+10-4
2x + 8–8 = 3x + 6
2x = 3x + 6
- 3x – 3x
X = 6
My work:
2(x+4)-8=3x+10-4
2x+8-8=3x+6
2x=3x+6
-x=6
x=-6
Mr.Joseph recently received a notice that his average gas and electric bill would increase at the beginning of the year. He went online to see the amount of his last 12 bills. If his average bill over the past 12 month goes up 17%, what can he expect to pay on average next year.
Answer:
about 2,546
Step-by-step explanation:
1. Minti can do a piece of work in 12 days. Minti and Rinki together can finish the work in 8 days.
Find: (a) the number of days in which Rinki alone can finish the work.
(b) the work left if Rinki alone works on it for 4 days.
Answer:
Minti - 12 days
Minti & Rinki - 8 days
Use Formula 3
time= (12 * 8) / (12 -8)
time = 96 / 4
time for Rinki alone = 24 Days
*****************************************************
Rinki alone for 4 days will leave 20 days of work to be done.
Step-by-step explanation:
80iu612345678909876533456
.
Answer:
weird
Step-by-step explanation:
The fifth term of a geometric sequence is 32 and the eighth term is 4.
(a) Find the ratio. (2 marks)
(b) Find the first term. (2 marks)
(C) Find the sum of the first 50 terms of the sequence. (3 marks)
What is the first term?
Answer:
a. 1/2
b. 512
c. 1024
Step-by-step explanation:
The nth term of a geometric progression can be written as;
Tn = ar^n-1
where a is the first term, r is the common ratio and n is the term number
From the question;
Fifth term = ar^4 = 32
Eight term = ar^7 = 4
a. We want to find the common ratio
What to do here is that we can divide the 8th by the 5th term
ar^7/ar^4 = 4/32
r^3 = 1/8
r^3 = (1/2)^3
Thus r = 1/2
b. First term
we can make a substitution in any of the two given terms
Let’s use the fifth term
ar^4 = 32
a * (1/2)^4 = 32
a * 1/16 = 32
a = 16 * 32
a = 512
C. Sum of the first 50 terms
To calculate this, we use the sum of terms formula
Sn = a(1- r^n)/1-r
a = 512 , n = 50 and r = 1/2
Making the substitution;
Sn = 512(1-(1/2)^50)/1-1/2
Kindly note that (1/2)^50 will be infinitesimally small and will be close to zero
So we can approximate (1/2)^50 to be zero
Hence;
Sn = 512(1-0)/0.5
Sn = 512/0.5
Sn = 1024
3/4 of a cup of pasta sauce for every 12 ounces whats the unit rate
Answer:
the unit rate is 1/4 every 4 ounces
Step-by-step explanation:
12/3=4 3/3=1 so 1/4 of a cup every 4 ounces.
How do you solve 2 1/3 + 5y = 4
Answer:
Not sure but that's my answer
3/2a-8=11 URGENT ANSWERRRRRRR
Answer:
38/3
Step-by-step explanation:
3/2a-8=11
3/2a=19 add 8 to each side
i forget the rest of the steps smh
Answer:
38/3
Step-by-step explanation:
3/2A-8=11
3A/2=11+8
3A/2=19 CROSS MULTIPLY
3A=38
A=38/3
pleseeeeeeeeeeeeeee helllllllppppp fassttttty pleaseeeeeeeee
Answer:
0.10
Step-by-step explanation:
[tex]0.15 = \frac{15}{100} \\ 0.40 = \frac{40}{100} \\ 0.35 = \frac{35}{100} \\ [/tex]
Since all of them have the denominator as 100,
the total no. of sweets must be 100. So,
No of strawberries= 100-15-40-35
= 10
p(taking a strawberry sweet)= 10/100
= 0.10
Answer:
0.10
Step-by-step explanation: did work
1) 3(3x - 4) = -2(1 – 4x)
Answer:
x = 10
Step-by-step explanation:
3(3x - 4) = -2(1 - 4x)
9x - 12 = -2 + 8x
9x - 8x = -2 + 12
x = 10
Hope this helps!
Find a general term a, for the sequence whose first four terms are given.
1 /1,1/4,1/9,1/16
Answer:
an = 1/n^2
Step-by-step explanation:
We notice that the denominators are the squares of successive integers. The general term will be ...
[tex]\boxed{a_n=\dfrac{1}{n^2}}[/tex]
−2π
Is this rational or irrational
It is irrational.
π is an irrational number.
It follows that -2π is also irrational number.
Find the distance between the points L(7, -1) and M(-2, 4).
Answer:
(5-5)
Step-by-step explanation:
hope this helped
Answer:Not correct
Step-by-step explanation:
solve this equation 3/10x-4=40-2x
I Am Pretty Sure The Answer Is x=440/23
Hope This Help's
Jordan will hike a 10 mile trail at a rate of 2 mi/h. Write a linear equation to represent the distance of the trail that Jordan still has to hike after x hours. What does the y-intercept of the equation represent?
Answer:
y = 10 -2x; 10 is the length of the trail
Step-by-step explanation:
Jordan's remaining distance starts at 10 miles, and decreases 2 miles each hour:
y = -2x +10
The y-intercept is the length of the trail.
What value of q satisfies this equation?
59 + 5q = 159 - 11
Answer:
0,454
Step-by-step explanation:
= 59 + 5q = 159q - 11
= 5q - 159q = 11 + 59
= 154q = 70
= q = 70 : 154
= q = 0,454
Answer:
89/5 or 17.8
Step-by-step explanation:
5(1-b)=8(b+2) solve for b
Step-by-step explanation:
Hey there!!
Here,
[tex]5(1 - b) = 8(b + 2)[/tex]
[tex] \: \: \: \: \: 5 - 5b = 8b + 16[/tex]
[tex] \: \: \: \: \: \: \: 8b + 5b = 5 - 16[/tex]
[tex] \: \: \: \: \: \: \: 13b = - 11[/tex]
[tex] \: \: \: \: \: \: \: b = \frac{ - 11}{13} [/tex]
Therefore the value of b is -11/13.
Hope it helps...
Step-by-step explanation:
first open up the brackets according to BODMAS to get
5-5b=8b+16
then collect like terms together and make sure to change the sighns eg - becomes +
5-16=8b+5b
you get
-11=13b
then divide both sides with 13 to get b
-11/13=b ( you can leave as a negative decimal according to the question)
The property can be used to remove the parentheses in the expression 1.7(x + 9).
Answer: Distributive property
Find the measure of
Three sisters have ages that are consecutive odd integers. Their combined ages is 51.
How old is the youngest sister?
Write 821 in scientific notation
Answer:
8.21 x 102
Step-by-step explanation:
cus thats the answer
what is 6.257 x 10^-7
Answer:
-62570000
Step-by-step explanation:
6.257× -10000000
-62570000
Solve the system of linear equation. 2x-5= 14
3x+2y = 40
Answer:
x=9.5, y=5.75
Step-by-step explanation:
2x-5=14, 3x+2y=40
focus on 2x-5=14 first:
2x-5=14 (add 5 to both sides) 2x=19(divide both sides by 2) x=9.5
Now subtitute x into the second equation and find y:
3(9.5)+2y=40(simplify) 28.5+2y=40(subtract 28.5 on both sides) 2y=11.5(divide both sides by 2) y=5.75
Each year, the science club puts on a science show for the students in the elementary school. Luis is planning demonstrations to show properties of metals. For one property, he decides to use a ball of pizza dough and a rolling pin.
Which property of metals is Luis most likely going to demonstrate using these materials
luster
opacity
conductivity
malleability
Answer:
D. Malleability because he is most likely going to show how you can easily roll pizza dough
Step-by-step explanation:
Answer:
malleability or D
Step-by-step explanation:
What is the inverse of the following function? y = 12x −6
Answer:
f ^−1(x)=x/12+1/2
Step-by-step explanation:
What is the solution to the equation -6x + 9 – 4x = 14? I need some more help
Answer:
x= - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
- 6x + 9 - 4x = 14, that is
- 10x + 9 = 14 ( subtract 9 from both sides )
- 10x = 5 ( divide both sides by - 10 )
x = [tex]\frac{5}{-10}[/tex] = - [tex]\frac{1}{2}[/tex]
Please help me with this question ASAP Inequalities 9+3/5x>81/5
Answer:
9+3/5x-(81/5)=0
Step-by-step explanation:
X+y=-4
2x+4y=-12
Stop by substitution
Answer:
X=4-y
2(4-y)+4y=12
8-2y+4y=12
2y=12-8
2y=4
y=4/2
y=2
x=4-y
x=4-2
x=2