Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.
Can anyone solve it asap please
Answer:
a) x + 8 ≥ 6
Step-by-step explanation:
x + 8 ≥ 6
Step 1: Subtract 8 from both sides
x + 8 - 8 ≥ 6 - 8
Step 2: Simplify
x ≥ -2
And since the symbol is greater than, we use a closed circle. Also, since the inequality is like an arrow pointing to the right, we draw the arrow going to the right.
Here are what the inequality symbols mean:
> = Greater than
≥ = Greater than or equal to
< = Less than
≤ = Less than or equal to
Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).
The locations of a fishing boat, buoy, and kayak are represented by the points (0,0), (16,12), and (10,-5). Each unit represents 1 nautical mile.
The boat travels at 8 nautical miles per hour. How long does the boat take to reach the buoy if the boat travels directly toward it?
Someone please help me out, explanation also.
Answer:
2hrs 30 mins
Step-by-step explanation:
if the buoy Is 12 up and 16 right than you can use Pythagorean theorem
a²+b²=c²
144+256=c²
400=c²
√400=√c²
20=c
20/8=2.5
2 hrs 30 mins
33
Which fraction is equivalent to 4?
A
1
4
B
8
С
4
4
D
4
1
Mario has a fair coin. He conducts an experiment to determine how many times the coin lands on heads or tails. The results are shown in the table below.
Using Mario's experiment, what is the difference between the experimental and the theoretical probability that the fair coin lands on heads?
20%20 percent
30%30 percent
50%50 percent
70%
The difference that exist between the experimental and theoretical probability that the fair coin will lands on heads is A. 20%.
How to calculate probability?Your information is incomplete as the table isn't given. Therefore, an overview will be given.
It should be noted that theoretical probability describes how likely an event will occur. In this case, the probability of getting a head is 50%.Now, let's assume that the experimental probability that given is 70%.
In they case, the difference between the experimental and the theoretical probability that the fair coin lands on heads will be:
= 70% - 50%
= 20%
In conclusion, the correct option is 20%.
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Answer:
Step-by-step explanation:
it’s 20% because yo have to add the device
I need an answer ASAP
Answer:
(B) 3
Step-by-step explanation:
Qualitative answer. As x grows larger and larger, the contribute of lower degree terms (and constants) becomes irrelevant, and you rewrite everything picking the highest term for both numerator and denominator
[tex]\lim\limits_{x \to \infty} \frac{\sqrt{9x^4}}{x^2} $\lim\limits_{x \to \infty} \frac{3x^2}{x^2}=3[/tex]
Analitically.
Collect [tex]9x^4[/tex] in the numerator under the square root, [tex]x^2[/tex] in the denominator.
[tex]\lim\limits_{x \to \infty} \frac{\sqrt{9x^4(1+\frac{1}{9x^4})}}{x^2(1-\frac{3}{x}+\frac{5}{x^2})} = \lim\limits_{x \to \infty}\frac{3x^2\sqrt{(1+\frac{1}{9x^4})}}{{x^2(1-\frac{3}{x}+\frac{5}{x^2})}} = 3[/tex]
At this point the way you deal with it is the usual. Anything inside the bracket goes to 0 besides the lead coefficients (1 in both cases) and you're left with 3.
A polynomial can have a variable under a square root.
True
False
Answer:
it's could be False i'm not sure
Hello Can Someone Please Answer This Question I Will Mark You The Brainliest
Answer:
It's A 310 cm 2
Step-by-step explanation:
10 times 4 thousands equal blank thousands equal blank
Answer:
(e.g., 10 × 4 ten thousands). Draw number disks and write a multiplication sentence to show the value of 10 times 4 ten thousands. 10 times 4 ten thousands = 40 ten thousands = 4 hundred thousands. Explain how you know this equation is true
Step-by-step explanation:
Answer:
10 * 4,000 = 40,000 =1,000/4
Step-by-step explanation:
During the health check of a man of two weeks, it was observed that he had fever on 11 days, morning or evening. When he had fever in the evening, he had no fever in the morning. He had fever 9 days in the evening. How many days did he have no fever in the morning?
Step-by-step explanation:
2 weeks = 14 days.
on 11 days of these 14 he had fever.
that means on 14-11 = 3 days he did not have a fever.
on 9 of these 11 fever days he had the fever in the evening.
and we know, when he had fever in the evening, he had no fever in the morning.
so, the number of days without fever in the morning is :
9 + 3 = 12
as he had no fever in the morning when he had a fever in the evening, AND when he did not have any fever at all ...
A group of friends wants to go to the amusement park. They have no more than $140 to spend on parking and admission. Parking is $5.75, and tickets cost $39.75 per person, including tax. What is the maximum number of people who can go to the amusement park?
Answer:
3
Step-by-step explanation:
Let the number of people be n.
39.75n + 5.75 ≤ 140
39.75n ≤ 134.25
n ≤ 3.37
The greatest integer less than or equal to 3.37 is 3.
Answer: 3
The maximum number of people who can go to the amusement park will be 3.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that the group has $140 to spend on parking and admission. Parking is $5.75, and tickets cost $39.75 per person, including tax.
For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.
Suppose the number of people will be n.
39.75n + 5.75 ≤ 140
39.75n ≤ 134.25
n ≤ 3.37
The greatest integer value should be less than or equal to 3.37 is 3.
Thus, the maximum number of people who can go to the amusement park will be 3.
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At a football game, 94% of people attending were supporting the home team, while 6% were supporting the visiting team. If 3290 people attending the game supported the home team, what was the total number of people attending the game?
The total of people at the football game by considering the information provided would be 3500
How to calculate the total of people attending the game?This can be calculated by using the information provided about the number of people that supports the home team, as well as the percentage represented by them. To do this, use the rule of three.
3290 = 94% x = 100%x = 3290 x 100 / 94 = 3500How to test this result?You can test it by finding out the 94% and the 6% of the total number:
94% of 3500 = 32906% of 3500 = 2103290 + 210 = 3500Learn more about percentages in: https://brainly.com/question/8011401
on a certain Home Mortgage, there is a monthly payment of $9.43 for every $1,000 that is borrowed. What is the monthly payment on this type of loan if $135,000 is borrowed? NO LINKS!!!
Work Shown:
x/(135,000) = (9.43)/(1000)
x = 135,000*(9.43/1000)
x = 1273.05
Solve using ratios as ratios remain same
Let the amount be n
[tex]\\ \rm\Rrightarrow \dfrac{9.43}{1000}=\dfrac{n}{135000}[/tex]
[tex]\\ \rm\Rrightarrow 0.00943=n/135000[/tex]
[tex]\\ \rm\Rrightarrow n=0.00943(135000)[/tex]
[tex]\\ \rm\Rrightarrow n=1273.05[/tex]
If 50 percent of Q is 20 percent of P, then P is what percent of Q
Answer:
P is 250% of Q
Step-by-step explanation:
50/100 Q = 20/100P Multiply both sides by 100
50Q = 20 P Divide by 20
50/20 Q = P
2.5 Q = P
So P is 2.5 times the size of Q.
2.5 as a percent is 250 %
The surface area of a rectangular prism is 174 square inches. The rectangular base has one side length 3 times the other. The height of the prism is 5 inches. What are the maximum lengths of the sides of the base?
The maximum lengths of the sides of the rectangular base are approximately 7.616 inches and 22.847 inches.
How to find the maximum lengths of the sides of the baseThe surface area of the rectangular prism ([tex]A_{s}[/tex]) is equal to the product of two lengths of triangle. The area formula for the base is:
[tex]A = x\cdot (3\cdot x)[/tex]
[tex]A = 3\cdot x^{2}[/tex]
If we know that [tex]A = 174[/tex], then the least length of the base of the rectangle is:
[tex]x = \sqrt{\frac{A}{3} }[/tex]
[tex]x \approx 7.616\,in[/tex]
The maximum lengths of the sides of the rectangular base are approximately 7.616 inches and 22.847 inches. [tex]\blacksquare[/tex]
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Answer:
3 inches and 9 inches
Step-by-step explanation:
See pic :)
Find the estimate and actual value of : 72.8 + 12.1
please I need help .
9514 1404 393
Answer:
2 autos per hour
f(h) = 2h
Step-by-step explanation:
The graph in the interval 0 ≤ h ≤ 4 is a straight line through the origin, so represents a proportion. The constant of proportionality is the slope of the line, which is the ratio of vertical change to horizontal change.
On the interval [0, 4], we see that 8 automobiles are completed in 4 hours, so the slope is ...
(8 autos)/(4 hours) = 2 autos/hour
Then the completion rate function in that interval is ...
f(h) = 2h
What is the solution to the linear equation?
2 + p = 1/3 + 2/3
Op=1
Op=2
Op=8
O p = 10
Answer:
-1
2+p=1/3+2/3
first do the fraction
2+p=1
collect like terms
p=1-2
p=-1
joey and his 4 friends went out to eat they decided to split the bill evenly Each person paid 11.13. What was the total bill? write an equation you could use to solve this equation. Use d as your variable.
Answer:
$44.52 is the total bill, d = 11.13 × 4
the difference between a number and 4.5 is greater than 8
Answer:
See below.
Step-by-step explanation:
n-4.5>8
+4.5 +4.5
n>12.5
-hope it helps
PLEASE HELP ASAP
Which parent function(s) do not have any negative y values? *
rational
quadratic
linear
exponential
square root
absolute value
cubic
Answer:
the answer is rational , absolute value, cubic
What is the x-intercept of the line 3x – 7y = 42?
PLEASE HELP
Answer: x-intercept = 42/3 = 14
Step-by-step explanation: y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
Notice that when x = 0 the value of y is 6/-1 so this line "cuts" the y axis at y=-6.00000
y-intercept = 42/-7 = 6/-1 = -6.00000
When y = 0 the value of x is 14/1 Our line therefore "cuts" the x axis at x=14.00000
x-intercept = 42/3 = 14
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -6.000 and for x=2.000, the value of y is -5.143. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.143 - (-6.000) = 0.857 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.857/2.000 = 0.429
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-7y-42 = 0 and calculate its properties
x-intercept = 42/3 = 14
If x< 0 and y<0 where is the point (x,y) located
Answer: 0
Step-by-step explanation:
- Find distance around three-fourths of a circle with radius of 6 feet.
Step-By-Step Explanation:
1st Step : First lets take 6 times the circumference (Pi)
6 * 3.14 = 18.84
2nd Step : Next, Divide 18.84 by 4
18.84 /4 = 4.71
3rd Step : And lastly, Take 4.71 times 3.
3 * 4.71 = 14.13
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Find the value of /...x, .yy, and .zz in the parallelogram below.
Answer:
Step-by-step explanation:
The school principal is designing a square outside of the school,seperated into 4 equal spaces.She wants to know the total area of the courtyard. What is the total area if each smaller space is 5 feet on each side
Answer:100ft
Step-by-step explanation:i got it right on I-ready
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Answer:
4 yd
Step-by-step explanation:
The missing length is the question mark on the top side.
Look at the bottom side. Its length is 10 yd.
Now look at the next horizontal side up from the bottom. Its length is 6 yd.
The missing length is the difference between 10 yd and 6 yd.
10 yd - 6 yd = 4 yd
Find the value of x. The diagram is not to scale.
110°
57°
Answer:
you have to show the diagram ...
Step-by-step explanation:
The ratio of weight to mass is constant. Which statement describes the ratio of weight to mass and the value of x in the table
Answer:
I don't know the table but from similar questions like this the answer is probably :
The ratio is 98/10; x = 110
A baker has a bag with 20 cups of flour. The baker plans to use the flour to make 4 loaves of bread. Each loaf of bread uses cups of flour. How many cups of flour will remain in the bag when the baker is finished?
Following our assumption, the number of cups that will be remained in the bag after the baker is finished is 4 cups.
What are word problems?Word Problems in mathematics are those methods involving the use of algebra, fractions, ratios, and other basic mathematical concepts to solve problems in real-life cases.
From the given information:
A bag of flour = 20 cupsThe baker plans to make = 4 loavesLet's assume that each flour make use of = 4 cupsThen, the number of cups to make 4 loaves of bread is:
= (4 × 4) cups
= 16 cups to make 4 loaves of bread.
The number of cups of flour remaining will be:
= 20 - 16 cups of flour
= 4 cups of flour remaining
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Determine whether equations are parallel perpendicular or neither For Y=5x-1 And Y=-1/5x+1
Answer:
Perpendicular
Step-by-step explanation:
The slope is the negative reciporal of one another
5x = -1x/5