Answer:
1 +1 = 2
Step-by-step explanation:
solve the inequality and graph the solution.
4 |3x + 5| ≤ 16
The solution to the inequality is -3 ≤ x ≤ -1/3
Solving inequality with modulusGiven the inequality:
4|3x+5| ≤ 16
Let us simplify it by dividing both sides by 4 to get:
|3x+5| ≤ 4
Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:
First: 3x+5 ≥ 0
In this case, the inequality simplifies to:
3x+5 ≤ 4
Subtracting 5 from both sides, we get:
3x ≤ -1
Dividing by 3 (which is positive) gives:
x ≤ -1/3
Second: 3x+5 < 0
In this case, the inequality simplifies to:
-3x-5 ≤ 4
Adding 5 to both sides, we get:
-3x ≤ 9
Dividing by -3 (which is negative and requires us to flip the inequality), gives:
x ≥ -3
Therefore, the solution to the inequality is:
-3 ≤ x ≤ -1/3
The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.
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A national grocery store chain designed a study to determine whether its customers would be interested in home delivery. The
chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who
hopped in the chain's stores were interested in the service. What is the sample in the study?
The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.
The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.
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Pls help grades close today
Answer:
$7.60
Step-by-step explanation:
24% of $10 is $2.40
$10-$2.40=$7.60
Answer:
The answer is $7.60.
Step-by-step explanation:
The original price is 10 dollars. 24 percent of 10 dollars is $2.40. So, subtract that from 10 dollars to get the answer.
$10.00 - $2.40 = $7.60.
Hope this helps! Have a good day. :)
10A car is purchased for $24.500.After each year, the resale value decreases by 35%. What will the resale value be after 3 yearsiUse the calculator providedand round your answer to the nearest dollar.Continue
5)We are given that a car that was purchased for $24500 decreases by 35% each year. This means that for the first year the price is:
\(24500-24500(\frac{35}{100})\)This can be rewritten as:
\(24500-24500(\frac{35}{100})=24500(1-\frac{35}{100})\)Solving the operation inside the parenthesis:
\(24500(1-\frac{35}{100})=24500(0.65)\)For the second year we repeat the operation, therefore, we have:
\(24500(0.65)(0.65)=24500(0.65)^2\)For the third year we have:
\(24500(0.65)^2(0.65)=(24500)(0.65)^3\)Solving the operation
\(24500(0.65)^3=6728\)Therefore, the price after 3 years is $6728
2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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Write an equation that would change the graph of y=(x-2)^3+5
A. Move it 2 spaces left
B. Flip it vertically
C. Vertically stretch it
Show work
We may multiply the y-values by -1 to flip the graph of y = (x - 2)^3 + 5 vertically. This will display the graph along the x-axis. The inverted graph's equation is y = -((x - 2)^3 + 5).
What is equation?An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
To flip the graph of y = (x - 2)^3 + 5 vertically, we can multiply the y-values by -1. This will reflect the graph across the x-axis. The equation for the flipped graph is: y = -((x - 2)^3 + 5).
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Determine the slope of the line that has the following coordinates: (1, 4)(2, -6)
Answer:
-10
Step-by-step explanation:
First use this equation: (y2 - y1) / (x2 -x1)
The y intercept is 14 so the slope is -10.
create an area model to represent 14x17 find the product
238
14x17, the answer is 238 for your question plus it's an easy one you could've just multiplied and got your answer even from a calculator..
Calculate the third angle of a triangle in which two of the angles are as follows. 47° and 65° b 24° and 77 c 56° and 18⁰ d 39° and 21° e each 58°
The third angles in the given cases are:a) 68°b) 79°c) 106°d) 120°e) 64°.
To calculate the third angle of a triangle in which two of the angles are given, we need to use the fact that the sum of all the angles of a triangle is always 180°. Let's use this fact to solve each case given:a) Two angles are given as 47° and 65°. To find the third angle, we subtract the sum of the given angles from 180°.
That is, third angle = 180° - (47° + 65°) = 68°.b) Two angles are given as 24° and 77°. Similar to the previous case, the third angle = 180° - (24° + 77°) = 79°.c) Two angles are given as 56° and 18°. The third angle = 180° - (56° + 18°) = 106°.
d) Two angles are given as 39° and 21°. The third angle = 180° - (39° + 21°) = 120°.e) Each of the two angles is given as 58°. To find the third angle, we subtract twice the value of one of the given angles from 180°. That is, third angle = 180° - (2 × 58°) = 64°.
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Given that p(x)=2(5−x)2+1 , what is the value of p(-4)? Responses
Answer:
37
Step-by-step explanation:
x=-4
=2(5-(-4)2+1
=2(5+4)2+1
=2(9)2+1
=18(2)+1
=36+1
=37
Which expression can be used to find the quotient of 184 and 8?
(184÷10)+(8÷2)
(160÷8)+(24÷8)
(18÷3)+(4-2)
(184÷4)+(8÷2)
????????
I’m not sure how to make the upsidedown T on my keyboard ;-;
but please help, try to provide an explanation!
⊥T
Hope this is what you're looking for! (✿◠‿◠)
Answer:
You'll see this character in the list over on Wikipedia, and you'll notice that there's a code next to it, in this case 0287 is the Unicode character code for the upside-down T
Step-by-step explanation:
please mark me brainliest
Suppose that a and b are integers with a < b How many numbers are in the list a, a+1, a+2.... b?
So I thought about doing a-(a-1) to get the first number to one so the list becomes 1,2,3 but i soon realized that does not work
The count of numbers in the list a, a+1, a+2.... b is b - a + 1
How to determine the count of numbers in the list a, a+1, a+2.... b?The list of numbers is given as:
a, a+1, a+2.... b
From the above list, we can see that the numbers are consecutive numbers.
This means that, the count of numbers in the list is
Count = Highest - Least + 1
Where
Highest = b
Least = a
Substitute the known values in the above equation
Count = b - a + 1
Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1
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If I make $16.15 per hour. How much will I earn in a 5hr shift?
If I get payed $1.00 an hour, how much would I make for 10 minutes of work
Answer:
$0.10
Step-by-step explanation:
What are the intercepts of graphed function.
Answer:
x-intercept is (-1,0)
y-intercept is (0,-3)
Step-by-step explanation:
An intercept is where the graph crosses the axis.
Here the graph crosses the x-axis (numbered horizontal line that goes left and right) at the point (-1,0)
The graph crosses the y-axis (numbered vertical line that goes up and down) at the point (0,-3). These are what are called intercepts.
Find the volume of 4 in 12 1/8 in 1 1/4 in
Holly works at a garage.
Mr Bakir brings his car in for a service.
He also buys 2 tyres and a battery.
Holly has this list of costs
• service £110
• tyres £49.99 each
• battery £89
She uses this list to start to work out the bill for Mr Bakir.
Holly also has to charge 20% VAT on the costs to work out the total bill.
Work out the total bill. (You MUST show your working in the box below)
(4 Points)
Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
What are the new coordinates if the figure were rotated 90 degrees counterclockwise
Answer:
third option
Step-by-step explanation:
under a counterclockwise rotation of 90° about the origin
a point (x, y ) → (y, - x )
Then
A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )
B (2, - 2 ) → (- 2, - 2 )
C (1, - 4 ) → (- 4, - 1 )
The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
How to determine the new coordinates rotating by 90 degrees counterclockwiseFrom the question, we have the following parameters that can be used in our computation:
The figure,
Where, we have
A = (-1, -2)
B = (2, -2)
C = (1, -4)
The rule of 90 degrees counterclockwise is
(x, y) = (-y, x)
Using the above as a guide, we have the following:
A = (2, -1)
B = (2, 2)
C = (4, 1)
Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
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find the sum of all the integers from 1 to 1000
Answer:
500500
Step-by-step explanation:
intergers are whole numbers which are not fractions
1.10 friends are at a party and they decided the party was boring and decided to go to a
club in two different cars. One of the friends, Susan, has an SUV that can carry 7
passengers. So, Susan can take 6 more of the 9 friends with her. How many
different groups of 6 people are possible from the 9 remaining friends?
Using the combination formula, it is found that 84 different groups of 6 people are possible from the 9 remaining friends.
The order in which the friends are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
In this problem, 6 friends are chosen from a set of 9, hence:
\(C_{9,6} = \frac{9!}{6!3!} = 84\)
84 different groups of 6 people are possible from the 9 remaining friends.
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Answer:
this wrong
Step-by-step explanation:
The sum of two numbers is -64. Their difference is -10. Find the numbers.
The smaller number is:
The larger number is:
Answer:
smaller: -37, larger: -27
Step-by-step explanation:
say one number is x the other one is y
x+y = -64
x-y = -10
subtract the two equations to get
2y = -54
y = -27
x = -37
-27 is larger, -37 is smaller
Please Help
Find (f+g)(x)if f(x)=4x2-5x+8 and g(x)=2x2+x-2
Answer: (f+g)(x) = 6x²- 4x + 6
Step-by-step explanation:
We add f(x) and g(x) together, (4x²-5x+8) + (2x²+x-2)
Add like terms together, (4x²+2x²) + (-5x+x) +(8-2)
We are left with (f+g)(x) = 6x²- 4x + 6
93% of a towns population own cars. if the number of cars owned is 5208, whats the population
Answer: from my understanding my anwser was 5600 im sorry if it not correct
Step-by-step explanation:
Answer:
5600
Step-by-step explanation:
An automatic transmission clutch piston is shaped like a donut with an outside diameter of 5.75 inches and an inside diameter of 3.12 inches. The operating pressure is 187 psi. What is the force developed by this piston?
The force developed by the piston in discuss which is the product of it's area and operating pressure is; 18.34 psi in².
What is the force developed by the piston in discuss as described in the task content?It follows from the task content that the force developed by the piston as described in the task content is to be determined.
Hence, first we must determine the area acted on by the piston. This is the difference between area due to its outer diameter and it's inner diameter as follows;
Area = π ((d1)²/4 - (d²)/4)
Area = 3.14 (8.27 - 2.43)
Area = 3.14 × 5.84
Area = 18.34 in²
Consequently, the force developed by the piston which is the product of Area and operating pressure is;
Force = 18.34 in² × 187 psi
Force = 3429.6 psi in².
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Seth has a triangle that measures 20 inches by 20 inches
by 35 inches. What type of triangle does he have?
Answer:
Isosceles
Step-by-step explanation:
An isosceles triangle is a triangle in which the length of at least two sides are same.
The triangle which Seth has two sides of same length that is 20 inches.
Third side is different.
Hence. the triangle which Seth has is isosceles.
Write a polynomial function f of least degree that has rational coefficients, a
leading coefficient of 1, and zeros 3 and 3 – i
Answer:
f(x) = x³ -9x² +28x -30
Step-by-step explanation:
You want a monic polynomial f of least degree with zeros 3 and 3-i.
FactorsFor zero x=a, the polynomial has a factor (x -a). Complex zeros come in conjugate pairs, so another one is 3+i. This means the factored form is ...
f(x) = (x -3)(x -3 +i)(x -3 -i)
f(x) = (x -3)(x² -6x +9 +1) . . . . . combine the two right factors
f(x) = x³ -9x² +28x -30
__
Additional comment
When multiplying polynomials mentally, it can be useful to consider the coefficients of the product terms in order of decreasing powers:
f(x) = (1)x³ +(-3 -6)x² +(10 +(-3)(-6))x +(-3)(10)
The ratio between the number of hippos and the number of crocodiles in a puddle is 4: 3.
How many crocodiles would there be if the number of hippos were 24?
Answer: 32 Crocodiles
Step-by-step explanation:
Hippos 24/3=8
Crocodiles 8*4=32 (32 over 1)
32/24=4/3
please help me I don't get this question
Answer:
The correct answer is -28.24