Given:
Consider the inequality is [tex]|x+3|<5[/tex] and its solution set is [tex]-8<x<2[/tex].
To find:
The statement that verify the solution set.
Solution:
Any value into the inequality form the solution set [tex]-8<x<2[/tex], will create a true statement and any value into the inequality not form the solution set [tex]-8<x<2[/tex], will create a false statement.
To verify the solution set set, we need to put any value form solution set into the given inequality.
Substituting a value into the inequality from the solution set, such as -2, will create a true statement.
Therefore, the correct option is A.
Answer:
1 and 4
Step-by-step explanation:
got it right on edge
Which of the following are square roots of –8 + 8iStartRoot 3 EndRoot? Check all that apply.
Negative 2 + 2 I StartRoot 3 EndRoot
Negative 2 minus 2 I StartRoot 3 EndRoot
2 + 2 I StartRoot 3 EndRoot
Negative 4 + 4 I StartRoot 3 EndRoot
4 minus 4 I StartRoot 3 EndRoot
4 + 4 I StartRoot 3 EndRoot
Answer:
the answer is the 2nd and 3rd option
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The square root of -8 + 8i√3 have
√2(-4 + 4i√3)
or
√4(-2 + 2i√3)
Options A and D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The square root of -8 + 8i√3
This means,
= √(-8 + 8i√3)
= √2(-4 + 4i√3)
or
= √4(-2 + 2i√3)
Thus,
The square root of -8 + 8i√3 have
√2(-4 + 4i√3)
or
√4(-2 + 2i√3)
Options A and D is the correct answer.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
The sum of 6 consecutive even numbers is 126.
What is the fourth number in this sequence?
Answer:
The 6 numbers are: 16, 18, 20, 22, 24, and 26 so the answer would be 22.
What is the slope intercept of the equation of each line given the slope and y intercept slope = 8/3 y intercept =-4
Answer:
y = 8/3x - 4
Step-by-step explanation:
Slope-intercept form is represented by [ y = mx + b ] where m = slope and b = y-intercept.
We are given the slope of 8/3 and a y-intercept of -4. So, we can put this information into the formula shown above.
y = 8/3x - 4
Best of Luck!
The function shown is reflected across the y-axis to create a new function. Which is true about the domain and range of each function? Both the domain and range change. Both the range and domain stay the same. The domain stays the same, but the range changes. The range stays the same, but the domain changes.
Answer:
its b friends :)
Step-by-step explanation:
If the function shown is reflected across the y-axis create a new function. Both the range and domain stay the same.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that, the function shown is reflected across the y-axis to create a new function. We have to state the domain and range of each function.
The domain and/or range of a function will change when it is transformed. Only the domain will change if the inputs are only transformed. Only the range will change if the transformation only affects the outputs. The domain and range will change if the inputs and outputs are transformed simultaneously.
Thus, if the function shown is reflected across the y-axis creates a new function. Both the range and domain stay the same.
Learn more about the function here:
brainly.com/question/5245372
#SPJ6
La rueda delantera de una moto mide 50cm de diámetro. ¿Qué distancia ha recorrido la moto si la rueda ha dado 120 vueltas? ¿Cuántas vueltas ha dado la rueda trasera si su diámetro es de 60cm?Trace la gráfica del problema.
Answer:2.8333333
Step-by-step explanation:
List the angles in order from shortest to longest.
De, CE, CD
Answer:
CE, CD, DE
Step-by-step explanation:
Answer:
The angles in order will be CE, CD, DE
Hope this helped!
May i have brainliest !
MATH QUESTION, PLEASE HELP !!!
(will mark branliest )
Answer:
I am not certain if its right
Step-by-step explanation:
Least to greatest -5.9, 23/4, 5.9, 58%,
Answer:
-5.9,58%,23/4,5.9
Step-by-step explanation:
-5.9,5.75,5.9,0.58
Answer:
-5.9, 0.58, 5.75, 5.9
Step-by-step explanation:
Begin by writing all four numbers into the same form.
We'll start with -5.9.
Next, 23/4 = 5 3/4 or 5.75
Next: 5.9 stays as such
Finally, 58%, a percentage, changes to 0.58
Then the four numbers are:
-5.9, 5.75, 5.9 and 0.58
-5.9 is the smallest (and is positioned furthest from the origin to the left.
0.58 is the next smaillest; it's positive, whereas -5.9 is negative.
The next two numbers are
5.75 and
5.9
Least to greatest, we have -5.9, 0.58, 5.75, 5.9
a basketball team won 60% of their games this season. If the team won 18 games this season, how many games did they play?
A.16 games
B.30 games
C.42 games
D.78 games
Answer:
B) 30 games
Step-by-step explanation:
All you need to do is divide the games won by the percent won (make sure to change the percent into a decimal)
18/ 0.6 = 30
Answer:
66666666666666666666666666666666
Step-by-step explanation:
You work in a restaurant. Your hourly wage is $5.25. One evening you work from 5:30 to 9:30 and make $34.20 altogether. How much do you make in tips that evening?
Your answer
9514 1404 393
Answer:
$13.20
Step-by-step explanation:
Working h hours and earning t in tips, your earnings (e) are ...
e = 5.25h +t
Solving for t, we get ...
t = e - 5.25h
Filling in the given values, we have ...
t = 34.20 -5.25(4) = 34.20 -21.00 = 13.20
You made $13.20 in tips that evening.
write the equation of the line in slope intercept form .
Answer:
Step-by-step explanation:
Points are (0,-2)(3,0)
Slope intercept form is y=2/3x-2
What is the area of this shape?
units squared
Answer: 19 units squared
Step-by-step explanation:
1) Use Area= 1/2bh to get the area of the two triangles, 15 and 4
2) Add the areas together
Answer:
19 units squared
Step-by-step explanation:
I have attached an image that explains the process.
Essentially we split the shape into 3 triangles, and solve the area of each, and add them up.
The top right triangle is 3 x 5. So A = (3 x 5) / 2 = 7.5
The bottom right triangle is a copy of the top right. So that A = 7.5
The triangle on the left is 4 long and 2 high. So A = (4 x 2) / 2 = 4 units.
Total area is:
7.5 + 7.5 + 4 = 19 units squared.
Which inequality is represented by this graph
Answer:
The answer is C
Step-by-step explanation:
find the value of x in the triangle shown below , please help
Answer: 55°
Step-by-step explanation:
Isosceles Triangle
Item 29
Divide.
6.8÷4
6.8÷4
Answer:
1.7
Step-by-step explanation:
You can just use a calculator to make the work easier.
Erin goes to a pumpkin patch and picks out a pumpkin that weights 4.250 grams. How many kilograms does the pumpkin
weigh?
Answer:
0.0043
Step-by-step explanation:
Answer:
0.00425 kilograms
Which answer choice shows sixty-one ten thousandths in standard form?
A
61,000
B
0.061
C
0.0061
D
0.00061
Answer:
The answer is C. 0.0061
Step-by-step explanation:
because sixty-one ten thousandths in standard form is 0.0061
hi can someone do this and explain how to do it
Plz answer both question 2 and 3 and i will give you brainliest
Answer:
Step-by-step explanation:
Q. 2
- 4x + 2y = 16
y = 2x + 8
( - 3, 2 )
Q. 3
y = 2x + 3
Not proportional
12points I will give pls help
Answer:
[tex]\\ m=3[/tex]
Step-by-step explanation:
[tex]\\ m=\frac{y_2-y_1}{x_2-x_1}\\\\ m=\frac{2-(-1)}{0-(-1)}\\\\ m=\frac{2+1}{1}\\\\ m=3[/tex]
Hope this helps you. Have a nice night.
Give an example of two integers that make a zero pair. Explain how they are additive inverses.
Answer:
-6+6=0
-10-(-10)=0
Step-by-step explanation:
Hope that helps!
An example of two integers that make a zero pair is 6 and -6.
They are additive inverses because they sum up to zero
For two integers to make a zero pair:
They must be equal in magnitudeThey must have opposite signsLet the first number be represented by x
For one to be the additive inverse of the other, the second number must be -x.
x + (-x)
= x - x
= 0
An example of integers that make a zero pair 6 and -6
6 + (-6)
= 6 - 6
= 0
Learn more here: https://brainly.com/question/18453268
The height of a stack of 12 pennies is 18.24 millimeters. What is the thickness of each penny? Please explain how you got your answer :)
9514 1404 393
Answer:
1.52 mm
Step-by-step explanation:
Let p represent the thickness of one penny. Then a stack of 12 pennies will have a thickness of 12p.
12p = 18.24 mm
p = 18.24 mm/12 = 1.52 mm . . . . divide by the coefficient of p
The thickness of each penny is 1.52 mm.
What is the slope of the line.
Answer:
-4/5
Step-by-step explanation:
The slope of the graph is -4/5. The slope is the change in y over the change in x. The y-value decreases by 4 and the x-value increases by 5. So the slope is -4/5. One visual way to check this is to remember that slopes that are fractions will make the line flatter, while numbers with absolute values greater than 1 make the slope steeper.
which expression is equivalent to
(2m+3)(4m-1)
Answer:
8m^2+10m-3
Step-by-step explanation:
8m^2+10m-3
A bag of marbles contains 3 red marbles, 5 green marbles, and 7 blue marbles. If joseph reaches in pulls out one marble, what is the probability that the marble will not be red?
Answer:
the answer is 12/15, or 4/5. That's also 80%.
Step-by-step explanation:
Solve the following:
-12 = 6(-3) + 8
Step-by-step explanation:
the left -12 does not equal to right side -28 which means that the given statement is false.
Katie runs 5 laps arround the park in 8 minutes.if Kate runs 24 laps at the same rate,how long will it take her?
Answer:
5 ÷ 8 = 0.625
24 ÷ 0.625 = 38.4
i would say 38.4 minutes.
Step-by-step explanation:
PLS HELP! WILL GIVE BRAINLIEST! 70 PTS! pls only answer if you know
Completing the Square
Solve the equation by completing the square. Show your work.
x2 – 30x = –125
Step 1: Add to both sides of the equation. (2 points)
Step 2: Factor the left side of the equation. Show your work. (2 points)
Hint: It is a perfect square trinomial.
Step 3: Take the square root of both sides of the equation from Step 2. (1 point)
Step 4: Simplify the radical and solve for x. Show your work. (1 point)
Answer:
25, 5
Step-by-step explanation:
Determine the area of the sector of a circle in the following diagram (round to the nearest tenth):
A =
Answer:
1,848 units²
Step-by-step explanation:
360° ÷ 120° = 3
A = πr²
A = [tex]\frac{22}{7}[/tex] × 42² = 5,544
The area of the sector of a circle is 5,544 ÷ 3 = 1,848 units²
ARCHITECTURE Use the best description to classify each triangle: acute, equiangular, obtuse, or right.
1.
2.
3.
de
30
20
90
60
125
30°
2)
1)
3)
Answer:
1) Right Triangle2) Obtuse3) EquiangularStep-by-step explanation:
A right angle triangle is a triangle with an angle that measures 90°
An obtuse angle triangle is a triangle with an angle that measures more than 90°
An equiangular triangle is a triangle with all three angles measuring the same. Thus called 'equi' as in equal and angular meaning angle.
EXTRA INFO:
An acute angle is an angle that measures less than 90°