Maybe use a calculator?
[tex] |7 + 8x| > 5[/tex]
I've tried solving this inequality multiple times and I just can't get it right. I don't know what I'm doing wrong. please help
The absolute value is defined as
[tex]|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]
So for example, if x = 3, then |x| = |3| = 3, since 3 is positive. On the other hand, if x = -5, then |x| = |-5| = -(-5) = 5, since -5 is negative. The absolute value is always positive.
For the inequality |7 + 8x| > 5, you consider the two cases where the argument to the absolute value (the expression you find inside the bars) is either positive or negative.
• If 7 + 8x ≥ 0, then |7 + 8x| = 7 + 8x, so that
[tex]|7+8x|>5\implies 7+8x>5 \implies 8x>-2 \implies x>-\dfrac14[/tex]
• Otherwise, if 7 + 8x < 0, then |7 + 8x| = -(7 + 8x), so that
[tex]|7+8x|>5\implies-(7+8x)>5\implies7+8x<-5\implies8x<-12\implies x<-\dfrac32[/tex]
The solution to the inequality is the union of these two intervals.
I’m stuck on this question
Answer:
x= 0.4
Step-by-step explanation:
x^2 = 4/25 (0.16)
x = 0.4 Square root both sides
Show all work
14 +18 - 2 x 18 -7
Answer:
-11
Step-by-step explanation:
BIDMAS
(BRACKETS, INDICES, DIVISION, MULTIPLICATION, ADDITION, SUBTRACTION)
14 + 18 - 2 x 18 -7
the first thing we do is the multiplication (since there is no division in this question)
14 +18 − (2)(18) −7
14 + 18 - (36) - 7
32 - 36 - 7 = -11
A train of length 180 m approaches a tunnel of length 620 m.
How long will it take the train to pass completely through the
tunnel at a speed of 54 km/h?
For Thanksgiving, a family of 9 is trying to share 4 store-bought pies fairly. If each pie is pre-cut into 8 slices, and everyone gets the same number of slices, how many slices will be left over?
Answer:
5
Step-by-step explanation:
Which decimal comes between 1/2 and 5/8. A. 0.629 B. 0.07 C. 0.499 D. 0.6
Answer:
D
1/2 is 0.5
5/8 is 0.625
Which one is less than 0.625 and greater than 0.5?
0.6
-3/4 x + 1/2 = 3/4 solve for x please
Answer:
[tex]x = -\frac{1}{3}[/tex]
Step-by-step explanation:
1/2 = 2/4Plug 2/4 in: -3/4x + 2/4 = 3/4Subtract 2/4 from each side, so it now looks like this: -3/4x = 1/4Divide each side by -3/4, so it cancels out the -3/4 next to x. It should now look like this: x = -1/3I hope this helps!
75% as a fraction in simplest form
Answer:
3/4
Step-by-step explanation:
5 3/4
i don't know how to solve this
Answer:
it would be 5.75
Hope this helps! :)
(make brainliest if it helped!!)
I can collect 1.6 pecks of chile peppers a day. How many liters or peppers could I collect in a week?
Answer:
11.2
Step-by-step explanation:
multiply 1.6 by 7 since that's how many days there are in a week
Answer:
11.2
Step-by-step explanation:
you collect 1.6 packs of chile peppers a day there is 7 days in a week 1.6x7=11.2
hope it helps.
How many solutions exist for the equation 5(x-1)+2 = 2x+3x-3 ?
Answer:
infinite number of solutions
Step-by-step explanation:
Given
5x - 1) + 2 = 2x + 3x - 3 ← distribute and simplify
5x - 5 + 2 = 5x - 3, that is
5x - 3 = 5x - 3
Since both sides are equal then there are an infinite number of solutions to the equation.
I need the answer and the work (it’s geometry)
Answer:
D
Step-by-step explanation:
The starting point is B and the ray extends towards A.
So the asnwer is D.
What is the distance between (2,-1) and (2,5)
Answer:
6
Step-by-step explanation:
Since the x coordinates are the same, we are only concerned about the y coordinates
Find the difference between -1 and 5
5 - -1
5+1
6
The distance is 6
In which graph is y a direct variation of x?
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
The line is going through the origin.
{3x+y=10
{X-4y=-1 You must solve for Y
Answer:
x = 3 and y = 1
Step-by-step explanation:
Solve the following system:
{3 x + y = 10
x - 4 y = -1
Express the system in matrix form:
(3 | 1
1 | -4)(x
y) = (10
-1)
Solve the system with Cramer's rule:
x = 10 | 1
-1 | -4/3 | 1
1 | -4 and y = 3 | 10
1 | -1/3 | 1
1 | -4
Evaluate the determinant 3 | 1
1 | -4 = -13:
x = 10 | 1
-1 | -4/(-13) and y = 3 | 10
1 | -1/(-13)
Simplify 10 | 1
-1 | -4/(-13):
x = -1/13 10 | 1
-1 | -4 and y = 3 | 10
1 | -1/(-13)
Simplify 3 | 10
1 | -1/(-13):
x = -(10 | 1
-1 | -4)/13 and y = -1/13 3 | 10
1 | -1
Evaluate the determinant 10 | 1
-1 | -4 = -39:
x = (-1)/13×-39 and y = -(3 | 10
1 | -1)/13
(-1)/13 (-39) = 3:
x = 3 and y = -(3 | 10
1 | -1)/13
Evaluate the determinant 3 | 10
1 | -1 = -13:
x = 3 and y = (-1)/13×-13
(-1)/13 (-13) = 1:
Answer: x = 3 and y = 1
How much would $200 invested at 6% interest compounded annually be worth after 5 years? Round your answer to the nearest cent.m
Answer:
$252.50
Step-by-step explanation:
Furture value$252.50
Total Deposits: $200
Interest Earned: $52.50
The distance to the sun in inches is 1.116 x 10^9 How many fireflies would it take to reach the sun if they were put end to end?
show work please
Answer:
THE DISTANCE OF SUB IS 5892480000000IN
1MI=63630 IN
930000000MI=93000000×63360 IN=589248000000IN
X=NUMBER OF FIREFLIES
X=0.4IN=5892480000000IN
X=58924800000000IN×0.4IN
X=147312000000000
Answer:
This is wrong, I used this answer too and it was wrong.
Step-by-step explanation:
A number is 2 /5 times another number. Their sum is 70. Find the numbers.
Answer:
50,20
Step-by-step explanation:
let the two numbers be x and y respectively.
According to the question,
y=2/5 times of x
Or,
y= 2x/5 ..........(1)
Again,
or, x+y=70
or, x+2x/5=70
or, (5x+2x)/5=70
or, 7x=350
therefore x=50
putting the value of y in equation (1)
y=2x/5
y= (2×50)/5
therefore, y=20
Answer:
x = 175
Step-by-step explanation:
given:
A number is 2 /5 times another number. Their sum is 70.
find: the numbers (coefficient)
solution:
cross multiply
2 ( x ) = 70
5
2 (x) = 70 (5)
2 (x) = 350
x = 350
2
x = 175
check:
2 ( x ) = 70
5
2 ( 175 ) = 70
5
350 = 70
5
70 = 70
6. Two trains traveled from opposite
directions on parallel tracks toward
the bullfight town. They started
1,110 km apart at exactly the same
time. Train A's speed was 55 km/h
and Train B's speed was 85 km/h.
Would the trains have
met within 5 hours?
Answer:
They will not have met
Step-by-step explanation:
Train A will have traveled 275km in 5 hours and Train B will have traveled 425km in 5 hours. This means that they will be 700km closer to one another but still 400km apart
solve (8²)³ Simplified and what law did you use?
Answer:
[tex]8^{6}[/tex]
Step-by-step explanation:
power to power rule: multiply the bases
Answer:
262144
Step-by-step explanation:
(8²)³
When there is a power on top of a power, In this case (^2)^3, you DON'T Multiply 2 three times. You multiply two WITH 3.
SO,
(8²)³
= 8^6
Final answer =262144
The largest prime factor of thirty-five is _____. 7 5 9 11
Answer:
7
Step-by-step explanation:
Since 9 and 11 do not factor 35, they are not the answer.
5 is a factor of 35, but not the largest. So, the answer is 7.
Answer:
the largest prime factor of 35 is 5
6x+11=3x-1, what is x
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
[tex]6x+11=3x-1[/tex]
To solve this equation, we must first minus(subtract) 3x from both sides of the equation.
[tex]6x+11-3x=3x-1-3x[/tex]
And this equals:
[tex]3x+11=-1[/tex]
Now we must subtract again, but 11 times now.
[tex]3x+11-11=-1-11[/tex]
And this equals:
[tex]3x-12[/tex]
Now let's make this into a fraction to divide.
[tex]\frac{3x}{3}[/tex]
We get [tex]\frac{-12}{3}[/tex]
Now we got our answer:
[tex]x=-4[/tex]
Hope this helps!
Answer:
-4
Step-by-step explanation:
First you wanna subtract the 1 from the 11 then add subtract the 3x from the 6x and you should have 3x = -12 the. You just divide -12 by 3
Which best expression is the best estimate of the product of 7/8 and 8 1/10
A.0•8
B.1•10
C.7•8
D.1•8
Answer:
D. 1x8
Step-by-step explanation:
7/8 rounded is 1. And 8 and 1/10 rounder is 8, so therefore your answer is 1x8.
hope this helps! :)
Can someone please help me with these practice problems? *URGENT*
A students regular desk is 30 inches long and 18 inches wide. The teachers desk is similar to the student desk and has a length of 50 inches. What is the width of the teachers desk?
Answer:
Width of Teacher desk = 30 in
Step-by-step explanation:
Given:
Length of student desk = 30 in
Width of student desk = 18 in
Length of teacher desk = 50 in
Find:
Width of Teacher desk
Computation:
Assume,
Width of Teacher desk = x
Teacher desk is similar to student desk
Length of student desk / Width of student desk = Length of teacher desk / Width of Teacher desk
30 / 18 = 50 / x
x = [(50)(18)] / 30
Width of Teacher desk = 30 in
The coordinates of point T are (0,3). The midpoint of ST is (2,−2). Find the coordinates of point S. The other endpoint is nothing. (Type an ordered pair.)
Answer:
The coordinates of point S are (4,-7).
Step-by-step explanation:
Given the locations of points S and T, the midpoint coordinates are set by midpoint formulas:
[tex]\bar x = \frac{x_{S}+x_{T}}{2}[/tex] and [tex]\bar y = \frac{y_{S}+y_{T}}{2}[/tex]
Where:
[tex]x_{S}[/tex], [tex]x_{T}[/tex] - x-Components of S and T.
[tex]y_{S}[/tex], [tex]y_{T}[/tex] - y-Components of S and T.
The coordinates of S are cleared:
[tex]x_{S} = 2\cdot \bar x -x_{T}[/tex]
[tex]y_{S} = 2\cdot \bar y - y_{T}[/tex]
If [tex]\bar x = 2[/tex], [tex]\bar y = -2[/tex], [tex]x_{T} = 0[/tex] and [tex]y_{T} = 3[/tex], the equations are now solved:
[tex]x_{S} = 2\cdot (2) -0[/tex]
[tex]x_{S} = 4[/tex]
[tex]y_{S} = 2\cdot (-2)-3[/tex]
[tex]y_{S} = -7[/tex]
The coordinates of point S are (4,-7).
Angie and Kenny play online video games. Angie buys 1 software package and 1 month of gameplay. Kenny buys 2 software packages and 3 months of gameplay. Each software package costs $50. If their total cost is $218, what is the cost of one month of gameplay?
Answer:
The cost of one-month gameplay is $39.33 or 39.
Step-by-step explanation:
Let the cost of one month = x
The cost of software = $50
The total amount that can be spent = $218
Therefore, we have to find the cost of one month of game play. Here is the following equation.
218 = (50 + x) + (50 + 2x)
218 = 100 + 3x
218 – 100 = 3x
118 = 3x
x = 118 / 3
x = 39.33 or 39
thus, the cost of one-month gameplay is $39.33 or 39.
If tn is 2n+3 find t7 t30 and s10
Answer: t₇ = 17 t₃₀ = 63 S₁₀ = 140
Step-by-step explanation:
t₇ = 2(7) + 3
= 14 + 3
= 17
t₃₀ = 2(30) + 3
= 60 + 3
= 63
S₁₀ = (t₁ + t₁₀)/2 × 10
= (5 + 23)/2 × 10
= 28/2 10
= 14 × 10
= 140
distribute and combine √12x(-1+√5
Answer:
-2[tex]\sqrt{3x}[/tex] + 2[tex]\sqrt{15x}[/tex]
Step-by-step explanation:
What time is 3 ¾ hours after 10:37 pm? ( Your answer must contain am or pm )
Answer:
2:23
Step-by-step explanation:
Answer:
10:37 pm + 3 3/4 hours = 2:22 am
Step-by-step explanation:
10:37
3: 45
2:22
+ :23 minutes from 3:45 to 10:37, which gets you to 11 pm, leaves you with 3 hours and 22 minutes
11pm + 3:22= 2:22 am