[tex]f(x)=\left\{\begin{array}{ccc}-2&if&x < -3\\4x&if&-3\leq x\leq-1\\x^2&if&x > -1\end{array}\right\\\\-3\leq-3\leq-1\to f(x)=4x\\\\f(-3)=4(-3)=-12[/tex]
pls help will give brainliest
Answer:
4.)60
5.)about 13
6.)58
Step-by-step explanation:
( 2 + 76 ÷ 1 + 9 ) + 4 - 3 x 9
( 2 + 76 ÷ 1 + 9 ) + 4 - 3 x 9
64
Nathan bought a wallet for 5% off its full price. What was the full produce of the wallet if Nathan paid 17.67 before sales tax A.18.60 B.22.67 C. 17.72 D. 19.53
Answer:
Option A is correct.
Step-by-step explanation:
Let the full price of the wallet be represented by = x
Total amount that Nathan paid for the wallet = $17.67
Discount percentage = 5% or 0.05 = 0.05x (5% of full price)
So, equation becomes: full price - discount price = 17.67
[tex]x-0.05x=17.67[/tex]
[tex]0.95x=17.67[/tex]
x = $18.60
Therefore, the full price of the wallet is $18.60.
We can also check this by taking out 5% of 18.60
[tex]0.05\times18.60=0.93[/tex]
And[tex]18.60-0.93=17.67[/tex]
So, option A is correct.
Write an expression that represents the amount of hydrochloric acid in x gallons of a 3% hydrochloric acid solution.
The length of a side of a square is represented by 4x-1 . Express the perimeter of the square in terms of x.
The perimeter of a shape is the sum of all it sides.
The perimeter of the square is [tex]16x - 4[/tex]
Given that:
[tex]Length = 4x - 1[/tex]
The perimeter (P) of the square is:
[tex]P = 4 \times Length[/tex]
So, we have:
[tex]P = 4 \times (4x -1)[/tex]
Open brackets
[tex]P = 16x - 4[/tex]
Hence, the perimeter of the square is 16x - 4
See attachment for the image of the square
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A catering company is setting up for a wedding they expect 150 people to attend they can provide tables that seat 6 people and large tables that seats 10 people Is the point (20,5) a solution to the equation 6x+10y=150 explain the point (20,5) means in context
Answer:
(20,5) is NOT a solution of the equation [tex]6x+10y=150[/tex].
The point (20,5) implies that there are 20 small tables and 5 large tables.
Step-by-step explanation:
We have been given that a catering company is expecting 150 people to attend the wedding. There are two types of tables, ones which can fit 6 people and ones which can fit 10 people.
If there are x tables which can fit 6 people and there are y tables which can fit 10 people, we can express the total number of people that can fit on all available tables as: [tex]6x+10y[/tex].
Since there are total 150 people expected in the wedding, the equation can be framed as: [tex]6x+10y=150[/tex].
Let us check if the point (20,5) is a solution of the equation.
[tex]6*20+10*5=150[/tex]
[tex]120+50=150[/tex]
[tex]170=150[/tex]
Since we get a false statement, therefore, (20,5) is NOT a solution of the equation [tex]6x+10y=150[/tex].
The point (20,5) implies that there are 20 small tables and 5 large tables.
To determine if a point is a solution to an equation, substitute the values into the equation. The point (20,5) in the context of a catering company setting up tables represents 20 tables of 6 seats and 5 tables of 10 seats. However, this point is not a solution to the equation 6x + 10y = 150 because substituting these values does not make the equation true.
The point (20,5) in the context of this question represents the numbers of 6-seat and 10-seat tables the catering company needs to set up. To determine if the point (20,5) is a solution to the equation 6x+10y=150, you can substitute the first value of the ordered pair into the equation for x, and the second value for y.
If 6(20) + 10(5) equals 150, then (20,5) is a solution to the equation. Let's check: 6(20) = 120 and 10(5)=50, if you add these results, 120 + 50 you get 170, not 150. So, the point (20,5) is not a solution to the equation because when these values are substituted into the equation, they do not satisfy it (they do not make it true).https://brainly.com/question/29775795
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Can someone pleaseeee place the red ones in the right category pleaseeee I’m begging you
the square root of 8 is an irrational number
Root 8 is irrational as 8 = 2×2×2
Root of 8 is 2 root 2
0 is whole no.
-8/4 = 2 is an integer
49/7=7 is an integer
Rest .333333 and 9.23456 are rational as .3333 is non terminating repeating and 9.23456 is terminating
How do you find the domain for 7
h(x) = -5x² + 15x - 3
It's a quadratic function. The domain of quadratic function is the set of all real numbers.
Therefore
[tex]D=\mathbb{R}[/tex]-all real numbers.
You finish 3/8 of the project. Your friend finishes 1/4 of the project. What fraction of the project is finished??
5/8th of the complete project is finished by you and your friend.
What is a fraction ?A fraction is some part of a total amount given.Fractions are of two types one is proper fraction and other is improper fraction.
According to the given question You finish 3/8 of the project.
Your friend finishes 1/4 of the project.
∴ The total fraction of the project that is finished will be the sum of out total work which is
= 3/8 + 1/4.
Now we have to take LCM of the denominators which is 8.
So,
3/8 + 1/4.
= (3 + 2)/8.
= 5/8.
So, 5/8th of the project is finished by both of us.
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A catering company is setting up for a wedding. They expect 150 people to attend. They can provide small tables that seat 6 people and large tables that seats 10 people. Find a combination of small and large tables that seats exactly 150 people
We need 10 small sized tables and 9 large sized tables to fit 150 people.
What is Equation?Two or more expressions connected with an equal sign is called as Equation.
We have been given that a catering company is expecting 150 people to attend the wedding.
There are two kinds of tables,
The first kind of tables are small tables in which six people can be fitted.
The second kind of table are big tables in which ten people can be fitted.
Let us form a linear equation by considering x as the tables which can fit 6 people and y as the tables which can fit 10 people,
The total number of people that can fit on all available tables as:
6x+10y
If there are total 150 people expected in the wedding, then equation can be framed as:
6x+10y=150
Now let us take x as 10.
Then
6(10)+10y=150
60+10y=150
10y=150-60
10y=90
y=9
Therefore, you'd need 10 small sized tables and 9 large sized tables to fit 150 people.
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What is 119.63 rounded to the nearest whole number ?
120 is the answer, I may be wrong.
The odds against Carl beating his friend in a round of golf are 9:7. Find the probability that Carl will lose?
The ratio 9:7 gives you following statement:
Carl will win in 9 cases from 9+7=16; Carl will lose in 7 cases from 16.Then the probability that Carl will lose is
[tex]Pr(\text{Carl will lose})=\dfrac{7}{16}.[/tex]
Answer: [tex]Pr(\text{Carl will lose})=\dfrac{7}{16}.[/tex]
If 250 readers responded, how many chose museums as their favorite attraction?
This doesn't give any information
Your question is very vague. More info?
Simplify.
(4^3)^5
A) 4^-2
B) 4^3
C) 4^8
D) 4^15
6x+7y=4x+4y
Complete the missing value in the solution to the equation.
(___,-4)
Answer:(6,-4)
Step-by-step explanation:
6x+7y=4x+4y
If (?,-4)
So we are solving for x. Substitute the y with -4.abd solve.
6x+7(-4)=4x+4(-4)
Multiply 7(-4) on left side and 4(-4) on right side.
6x-28=4x-16
Subtract 4x both sides to get x term on left side
6x-4x-28= -16
Now add 28 to both sides to move to the right side because you want to keep x on left side.
6x-4x=28-16
2x= 28-16
Subtract 28 from 16
2x= 12
Divide 2 to both sides
X=12/2
Solve 12÷2=6
X=6
Answer:
[tex]S=\left \{ \left ( 6,-4 \right ) \right \}[/tex]
Step-by-step explanation:
1) In this equation we have one solution already given for y. y=-4. Let's make it one simplest equation:
[tex]6x+7y=4x+4y\\6x-4x=-7y+4y\Rightarrow 2x=-3y[/tex]
Now, plugging in the y value already given:
2)[tex]2x=-3(-4)\Rightarrow 2x=12\Rightarrow x=6[/tex]
[tex]S=\left \{ \left ( 6,-4 \right ) \right \}[/tex]
Ramiya is using the quadratic formula to solve a quadratic equation. Her equation is x = after substituting the values of a, b, and c into the formula. Which is Ramya’s quadratic equation? Quadratic formula: x =
A. 0 = x2 + 3x + 2
B. 0 = x2 – 3x + 2
C. 0 = 2x2 + 3x + 1
D. 0 = 2x2 – 3x + 1
BRAINLIEST?
Answer:
The correct option is: A. [tex]0=x^2+3x+2[/tex]
Step-by-step explanation:
Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
After substituting the values of a, b and c into the formula, Ramiya's equation is: [tex]x=\frac{-3\pm\sqrt{3^2-4(1)(2)}}{2(1)}[/tex]
Comparing the above equation with the quadratic formula, we will get........
[tex]2a= 2(1)\\ a=1\\ \\ -b=-3\\ b=3\\ \\ 4ac=4(1)(2)\\ 4(1)c=4(1)(2)\\ c=2[/tex]
The standard form of any quadratic equation is: [tex]ax^2+bx+c=0[/tex]
So, Ramiya’s quadratic equation will be: [tex]1x^2+3x+2=0[/tex] or, [tex]0=x^2+3x+2[/tex]
The Ramya's quadratic equation is 0 = x^2 + 3x + 2 option (A) is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
The quadratic formula is:
[tex]\rm x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Ramiya equation is:
[tex]\rm x=\frac{-3\pm \sqrt{3^2-4(1)(2)} }{2(1)}[/tex]
Comparing the Ramiya equation to the quadratic formula, we get:
-b = -3 ⇒ b = 3
2a = 2(1) ⇒ a = 1
4ac = 4(1)(2) ⇒ c = 2
Put these values in the standard equation, we get:
[tex]\rm x^2+3x+2=0[/tex] or
[tex]0=\rm x^2+3x+2[/tex]
Thus, the Ramya's quadratic equation is 0 = x^2 + 3x + 2 option (A) is correct.
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Change 1.4 to a fraction.
1.4 as a fraction is 1 4/10 (simplified to 1 2/5).
[tex]1.4=\dfrac{14}{10}=\dfrac{14:2}{10:2}=\dfrac{7}{5}[/tex]
Write 0.0123 in dcientific notation
The scientific notation of the given 0.0123 will be 123 x 10^{-4}.
How does scientific notations work?The number is written in the form a x 10^b.
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.
We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as Better readability due to compact representation.
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
The scientific notation of the given 0.0123 will be 123 x 10^{-4}.
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if you travel 342 miles in 6 hours how many miles can you travel in 5 hours
Which equation correctly applies the associative property of multiplication
The second answer is correct since the associative property has the do with how you use parenthesis.
select all possible solutions for 2x+7<=3x-5
Answer:
12, 18, 24, 107
Step-by-step explanation:
Our inequality is
2x+7 ≤ 3x-5
First we will subtract 3x from each side:
2x+7-3x ≤ 3x-5-3x
-1x+7 ≤ -5
Subtract 7 from each side:
-1x+7-7 ≤ -5-7
-1x ≤ -12
Divide both sides by -1:
-1x/-1 ≤ -12/-1
When we multiply or divide an inequality by a negative number, we flip the inequality symbol:
x ≥ 12
We want numbers that are equal to or larger than 12; this leaves us with
12, 18, 24, and 107.
A carpenter has two lengths of wood; one is 108cm long and the other is 72cm long. He wants to cut them up to produce smaller pieces of wood to build a shelving unit so they all need to be the same length, with no wood left over. What is the greatest length, in cm, that he can make the shelves?
Answer:
36 centimeters.
Step-by-step explanation:
1. To solve this problem you must find the Greatest common factor.
2. List the prime factor of 108 and 72:
[tex]108:(2)(2)(3)(3)(3)=(2^{2})(3^{3})\\ 72:(2)(2)(2)(3)(3)=(2^{3})(3^{2})[/tex]
3. Now, you must choose the common prime numbers with the lowest exponents and multiply them:
[tex](2^{2})(3^{2})=(4)(9)=36[/tex]
Answer: He needs 36 cm to make the shelves.
Step-by-step explanation:
Since we have given that
Length of first wood = 108 cm
Length of second wood = 72 cm
We need to find the greatest length so that he can make the shelves.
Greatest length = h.c.f. of 108 and 72 { 36 cm.
Hence, he needs 36 cm to make the shelves.
Steven wants to buy a $580 bicycle. Steven has no money saved, but will be able to deposit $30 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $80 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?
$30 + $30 = $60
$60 + $30 = $90
To pay back his sister the $80 he will to deposit money into his account for 3 weeks.
Since Steven would have $10 left over in his account from paying his sister all he needs now is $570.
You need to divide:
$570/$30 = 19
So Steven will need to deposit $30 into his bank account for 19 weeks to be able to buy the $580 bicycle.
Hope this Helps!!
which describes the behavior of the function f(x)=tan^-1(x)?
ANSWER
The correct answer is option C
EXPLANATION
The graph of [tex]f(x)=tan^{-1}(x)[/tex] is shown in the attachment.
You can see clearly that as
[tex]x\rightarrow \infty, f(x)\rightarrow \frac{\pi}{2}[/tex]
and as
[tex]x\rightarrow -\infty, f(x)\rightarrow -\frac{\pi}{2}[/tex]
These are are actually the two horizontal asymptotes to the given function.
Answer:
The answer is C I just took the test.
a birthday party is being fun for 20 people at an arcade it cost $5 a person to provide food for everyone and each game cost $1 per play. assume that each person at the party plays the same number of games,x
First, let's calculate the total cost for food. We know that we have 20 people to feed, and it costs $5 to provide food for each person. Therefore, we multiply the number of people by the cost per person to get the total cost for food. That would be:
20 people * $5/person = $100
So, the total cost for food is $100.
Next, let's calculate the total cost for the games. We're assuming that each person is playing x number of games, and that each game costs $1 to play. Therefore, we multiply the number of people by the cost per game and the number of games each person plays to find the total cost for games:
20 people * $1/game * x games = $20x
So, the total cost for the games depends on the number of games that each person plays.
If we want to find out the total cost of the party, we need to add the total cost for food and the total cost for games. This can be represented as:
$100 + $20x
This means the total cost of the party will be $100 plus $20 times the number of games each person plays. The exact total cost will depend on the value of x, i.e., the number of games each person plays.
I need to write the number that matches the clues
Hundreds tens ones
Question is
My number has 2 hundreds.
The ten digits is 9 more than the ones digit
What’s the number?
The answer to this question is 290
The number has 2 hundreds so 200
The tens place is 9 more than the ones place so its 9
The last number is 0
Jill can answer 50 math questions every 20 minutes. How many questions can she answer in 12 minutes? How many math questions can she answer in 36 minutes?
Answer:
1: 30
2: 90
Step-by-step explanation:
Answer:
In 12 minutes, She can answer 30 math questions.
In 36 minutes, She can answer 90 math questions.
Step-by-step explanation:
Jill can answer 50 math questions every 20 minutes.
1)
How many questions can she answer in 12 minutes
Let (x) represent the number of questions she can answer in 12 minutes:
So, if 50 math question = 20 minutes
and (x) math question = 12 minutes
To solve for (x); we have:
(x) × 20 minutes = 50 math question × 12 minutes
(x) = [tex]\frac{50*12}{20}[/tex]
(x) = [tex]\frac{600}{20}[/tex]
(x) = 30 math questions
∴ In 12 minutes, She can answer 30 math questions.
2)
How many math questions can she answer in 36 minutes?
Let (y) represent the number of questions she can answer in 36 minutes:
So, if 50 math question = 20 minutes
and (y) math question = 36 minutes
To solve for (y); we have:
(y) × 20 minutes = 50 math question × 36 minutes
(y) = [tex]\frac{50*36}{20}[/tex]
(y) = [tex]\frac{1800}{20}[/tex]
(y) = 90 math questions.
∴ In 36 minutes, She can answer 90 math questions.
how would numbers -20,0 and 30 appear on a number line
Number line showing -20,0, 30 in attachment below.
What is the length of leg s of the triangle below?
Hey there!
There are a few ways to do this, but I'll give you the one I can explain best.
This is a right triangle. We know this because one of the angles is 90º.
The lengths of the sides of the right triangle can be represented by the following equation:
a² + b² = c²
We already have the values for a and c, c being the hypotenuse.
3² + b² = (√18)²
Let's square a and c.
9 + b² = 18
Subtract 9 from each side of the equation.
b² = 9
To find the final value for b, find the square root of each side of the equation.
b = 3
Your answer is 3, or option D.
Hope this helps!
The length of leg s in the right angled triangle given is 3.
What is the triangle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. A right angled triangle is a triangle in which of its angle measure 90 degrees.
Here, we have,
This is a right triangle. We know this because one of the angles is 90º.
The lengths of the sides of the right triangle can be represented by the following equation:
a² + b² = c²
We already have the values for a and c, c being the hypotenuse.
3² + b² = (√18)²
Let's square a and c.
9 + b² = 18
Subtract 9 from each side of the equation.
b² = 9
To find the final value for b, find the square root of each side of the equation.
b = 3
The answer is 3, or option D.
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You order the sausage and eggs breakfast, and your friend orders the ham omelet. How much is the bill before the taxes and tip?
the total bill before taxes and tip is $18.
To calculate the total bill before taxes and tip, we simply need to sum up the costs of the sausage and eggs breakfast and the ham omelet.
Cost of sausage and eggs breakfast = $8
Cost of ham omelet = $10
Total bill before taxes and tip = Cost of sausage and eggs breakfast + Cost of ham omelet
Total bill before taxes and tip = $8 + $10
Total bill before taxes and tip = $18
So, the total bill before taxes and tip is $18.
The probable question maybe:
In a restaurant You order the sausage and eggs breakfast That costs $8, and your friend orders the ham omelet That costs $10. How much is the bill before the taxes and tip?