Answer:
A function is a relation in which each input has only one output.
Step-by-step explanation: In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
A function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin which is the correct answer would be an option (A).
What is a function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
A function is a coordinate grid with a U-shaped pattern, arrows on both ends that open to the right, and the origin at the bottom of the U.
Because there is only one output of the relation, y, for any input x (1, 2, 3, or 0), is a function of x. Because the input y = 3 contains multiple outputs, including x = 1 and x = 2, x is not a function of y.
Therefore, the function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin.
Hence, the correct answer would be option (A).
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Sketch the graphs of the equations: y = −3 −x
This is a linear equation in slope-intercept form. We can see that the slope is -1 and the y-intercept is -3 -- the line passes through (0, -3).
To graph this, we can simply plot the point (0, -3) and draw a line with slope negative 1 (this means that for every unit right, we have to move 1 unit down.
I have attached a picture of the graph.
13. Marco took out an unsubsidized student loan for $20,000, which he will start paying in 4
years, after he graduates. If the interest rate is 4.2%, what is the amount he will owe once he
graduates?
Answer:
Marco will owe $ 23,360 once he graduates.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Principal of the loan = 20,000
Time in years = 4
Interest rate = 4.2%
2. What is the amount he will owe once he graduates?
Let's use the formula of the interest simple, this way:
A = P * (1 + r * t)
where P is the principal of the loan, r the interest rate and t, the time in years.
Substituting with the values we know, we have:
A = 20,000 * (1 + 4 * 0.042)
A = 20,000 * 1.168
A = 23,360
Marco will owe $ 23,360 once he graduates.
Glven: F(x) = 2x - 1; G(X) = 3x + 2; H(x) = x2
Find F/G/H(2)
121
27
71
Answer:
3/32
Step-by-step explanation:
One approach to doing this probelm is to evaluate all three functions F, G and H at x = 2:
F(2) = 2(2) - 1 = 3
G(2) = 3(2) + 2 = 8
H(2) = (2)^2 = 4
3/8
Then (F/G)(2) = (3/8), and (F/G/H) = -------- = 3/32
4
1. Find P(rolling 2 or 5) with one number cube.
Answer:
1/3
Step-by-step explanation:
There are 6 possible outcomes when rolling 1 die
1,2,3,4,5,6
There are 2 outcomes that fit the category of 2 or a 5
P ( rolling 2 or a 5) = number of 2's or 5's / total number of outcomes
= 2/6
=1/3
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
A fair dice has 6 outcomes, 1, 2, 3, 4, 5, 6.
The outcomes 2 and 5 are 2 outcomes out of total 6 outcomes.
[tex]\frac{2}{6}=\frac{1}{3}[/tex]
if 2x+1/4 = 12/20 what is the value of x
Answer:
7/40 or 0.175
Step-by-step explanation:
simplify to get 2x+1/4=3/5
subtract 1/4 from both sides to get 2x=7/20
divide by 2 to get 7/40
this answer i decimal form is 0.175
Answer:
x = 7/40
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x + 1 /4 = 3 /5
Step 2: Subtract 1/4 from both sides.
2x + 1 /4 − 1 /4 = 3 /5 − 1 /4
2x = 7 /20
Step 3: Divide both sides by 2.
2x /2 = 7 /20 /2
x = 7 /40
Answer:
x = 7 /40
Hope this helps!!
please help me with vivid explanation
Answer:
864 m²
Step-by-step explanation:
First calculate the total area of the rectangular field
The area of a rectangle is given by the product of the length and the width
let A be the total area
A = 100*120
A = 12000 m²
Calculate the area of the small rectangles
Let A' be the total area of the four small rectangles and A" the area of one small rectangle A' = 4 A" A' = 4 [([tex]\frac{120-4}{2}[/tex])*([tex]\frac{100-4}{2}[/tex])] A' = 4*58*48A' = 11136 m² Substract the A' from A to get the area of the roadLet A"' be the area of the road
A"' =A-A'
A"' = 12000-11136
A"' = 864 m²
How did the temperature change if: at first it decreased by 60 % and then increased by 80% ?
Answer:
28% decrease
Step-by-step explanation:
If we decrease by 60%, we are keeping 100-60 = 40%
Let x be the original amount
decrease by 60% = keep 40%
.40 x
If we increase by 80%, we are keeping 100+80 = 180%
(.40x) * 180%
.40x * 1.80
.72x
Take .72 times the original amount
100 - .72 = 28
It decreased 28 %
Answer:
28% decrease
Step-by-step explanation:
Please solve this: Also show work.... Please help me.. Will give brainly
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]\frac{6x+1}{3}+1=\frac{x-3}{6}[/tex]
To make things simple, multiply everything by the LCM of the denominator. In this case, the LCM of 3 and 6 is 6.
[tex]6(\frac{6x+1}{3}+1) =6(\frac{x-3}{6}) \\6(\frac{6x+1}{3})+6(1)=(x-3) \\ 2(6x+1)+6=x-3[/tex]
Now, simplify and solve for x:
[tex]12x+2+6=x-3\\12x+8=x-3\\11x+8=-3\\11x=-11\\x=-1[/tex]
Simplify each expression using the proper order of operations. please help thank you so much :)
[tex]\frac{41-3^2}{\sqrt{36}*3-26 }[/tex]= ?
12 +[tex]\sqrt[3]{8}[/tex] *(9-2)= ?
[tex]\frac{28-(7^2+3)}{-13+3*5}[/tex]= ?
[tex]\frac{28}{4}[/tex] -[tex]\sqrt[3]{8}[/tex]*2^3= ?
7^2 - 5* 8+1= ?
(2*[tex]\sqrt{16}[/tex]) -([tex]\sqrt[3]{27}[/tex]*[tex]\sqrt{81}[/tex] ) + 7= ?
Answer:
a) [tex]\boxed{-4}[/tex]
b) [tex]\boxed{26}[/tex]
c) [tex]\boxed{-12}[/tex]
d) [tex]\boxed{-9}[/tex]
e) [tex]\boxed{10}[/tex]
f) [tex]\boxed{-12}[/tex]
Step-by-step explanation:
1) [tex]\frac{41 - 3^2}{\sqrt{36}* 3-26 }[/tex]
=> [tex]\frac{41-9}{6*3-26}[/tex]
=> [tex]\frac{32}{18-26}[/tex]
=> [tex]\frac{32}{-8}[/tex]
=> -4
2) [tex]12+\sqrt[3]{8} * (9-2)[/tex] ∴ [tex]\sqrt[3]{8} = 2[/tex]
=> [tex]12+2*(7)[/tex]
=> 12 + 14
=> 26
3) [tex]\frac{28-(7^2+3)}{-13+3*5}[/tex]
=> [tex]\frac{28-(49+3)}{-13+15}[/tex]
=> [tex]\frac{28-52}{2}[/tex]
=> [tex]\frac{-24}{2}[/tex]
=> -12
4) [tex]\frac{28}{4} - \sqrt[3]{8} * 2^3[/tex]
=> 7 - 2 * 8
=> 7 - 16
=> -9
5) [tex]7^2-5*8+1[/tex]
=> 49 - 40 + 1
=> 9 + 1
=> 10
6) [tex](2 * \sqrt{16} ) - (\sqrt[3]{27} * \sqrt{81} ) + 7[/tex]
∴ [tex]\sqrt{16} = 4, \sqrt[3]{27} = 3 , \sqrt{81} = 9[/tex]
=> (2 * 4) - (3 * 9) + 7
=> 8 - 27 + 7
=> -19 + 7
=> -12
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
Apply order of operations to solve each expression.
[tex]\frac{41-9}{6 \times 3-26}[/tex]
[tex]\frac{41-9}{18-26}[/tex]
[tex]\frac{32}{-8}=-4[/tex]
[tex]12+2\times 7[/tex]
[tex]12+14=26[/tex]
[tex]\frac{28-(49+3)}{-13+15}[/tex]
[tex]\frac{28-52}{2}[/tex]
[tex]\frac{-24}{2} =-12[/tex]
[tex]7-2 \times 8[/tex]
[tex]7-16=-9[/tex]
[tex]49-40+1[/tex]
[tex]=10[/tex]
[tex](2 \times 4)-(3 \times 9) +7[/tex]
[tex]8-27+7[/tex]
[tex]=-12[/tex]
A baseball 4 feet off the ground is hit with an upward velocity of 52 feet per second.
The height of the baseball in feet after t seconds is given by the equation
h = – 1672 + 52t + 4. A fan catches the ball 16 feet off the ground when it is coming
down. When does the fan catch the ball?
The fan catches the ball
seconds after it is hit.
(Note: the ball is 16 feet high at one point when it is going up and again when it is
coming down.)
The solution is
Answer: The fan catch the ball after 3 seconds.
Step-by-step explanation:
Given, A baseball 4 feet off the ground is hit with an upward velocity of 52 feet per second.
The height of the baseball in feet after t seconds is given by the equation
[tex]h = - 16t2 + 52t + 4[/tex]
If a fan catches the ball 16 feet off the ground when it is coming down.
then, at that time h= 16 feet
At h= 16
[tex]16=-16t^2+52t+4\\\\\Rightarrow\ 16t^2-52t+12=0\\\\\Rightarrow\ 4t^2-13t+3=0[/tex]
[tex]\Rightarrow\ 4t^2-t-12t+3=0\Rightarrow\ t(4t-1)-3(4t-1)=0\\\\\Rightarrow\ (4t-1)(t-3)=0\\\\\Rightarrow\ t=\dfrac{1}{4},\ t=3[/tex]
From the graph , it can be observe that when ball comes back , for height 16 feet the corresponding time t= 3 sec
So, the fan catch the ball after 3 seconds.
Debby pays rent twice a year, buys groceries once every quarter, and buys a transit pass
every month. How should her yearly expenses be represented?
1. O2 + 4y + 122
2. O 2x + 4y + 12z
3. OI +y + 122
4. O 2x + 3y + 12z
Work Shown:
x = amount of rent paid per half year
2x = amount of rent paid annually
y = amount spent on groceries per quarter
4y = amount spent on groceries annually
z = amount spent on a transit pass monthly
12z = amount spent on transit pass annually
2x+4y+12z = total amount of money spent annually
Answer:
2x+4y+12z
Step-by-step explanation:
I just did the test and got it right
Can someone please help me solve this?
Answer:
(a)
Step-by-step explanation:
The tangent and the normal at point P are perpendicular.
Given
[tex]m_{tangent}[/tex] = 3, then
Given the gradient m of the tangent then the gradient of a line perpendicular to it is
[tex]m_{normal}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] → (a)
HELP NOWWWWW Jeanne wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is odd? Input your answer as a decimal or fraction.
Answer:
P(odd) = 0.5
Step-by-step explanation:
There are 50 odd numbers for whole numbers 1-100, namely
{1,3,5,....97,99}
Therefore the probability that a single chosen number is odd is
P(odd) = 50/100 = 1/2
1/2 is the probability that the number is odd.
What is probability?The probability is defined as the possibility of an event is equal to the ratio of the number of outcomes and the total number of outcomes.
Total number of possibilities = 100
We want to find Probability of selecting odd:
There are 50 odd numbers for whole numbers 1-100, namely
Favourable possibilities are:
{1,3,5,....97,99} (Total 5 possibilities).
Therefore Probability = 50/100 = 1/2 or 50%
P(odd) = 50/100 = 1/2
Hence, 1/2 is the probability that the number is odd.
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PLEASE HELP!!!! What is 2(3j + 6 + 5j) as a verbal expression?
Answer:
"sixteen j plus twelve"Step-by-step explanation:
Given the expression[tex]2(3j + 6 + 5j)[/tex] let us begin by simplifying the expression first by performing operation with the terms inside the brackets
[tex]2(3j + 6 + 5j) = 2(8j + 6 )[/tex]
We can continue by opening the bracket to further simplify the expression
[tex]2(8j + 6 ) = 16j+2[/tex]
[tex]16j + 12[/tex] is our final answer, now to express this verbal, this is a complex number/expression, expressed as "sixteen j plus twelve"
Plz help meeeeee 9q=81
Answer:
q=9
Step-by-step explanation:
9q=81
Divide each side by 9
9q/9=81/9
q = 9
Answer:
Q=9
Step-by-step explanation:
SO BASICALLY TO REMOVE THE 9 FROM ONE SIDE WE DIVIDE BOTH SIDES OF THE EQAUTION BY 9
9Q/9=81/9
WHICH SIMPLIFIES TO
Q=9
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Help please and show work too
Answer:
Below
Step-by-step explanation:
51)
Let n be the first even number.
So the four consecutive even numbers are:
● n
● n+2
● n+4
●n+6
The smallest minus twice the larger is 4
● n-2(n+6)= 4
●n-2n-12 =4
● -n -12 =4
● -12 = 4+n
● -12-4 = n
● -16 = n
so the first even number is -16 and the largest one is -10
● -16+6= -10
■■■■■■■■■■■■■■■■■■■■■■■■■
Let m be the first integer
So the five consecutive integers are:
● m
● m+1
● m+2
● m+3
● m+4
The sum of this terms is 5.5 times the middle(m+2)
● m+m+1+m+2+m+3+m+4 = 5.5(m+2)
● 5m + 10 = 5.5 m +11
● -0.5 m = 1
●-m = 2
● m= -2
So the integers are;
● -2
● -1 (-2+1)
● 0
● 1
● 2
Mark scored an 89 on his first
test, an 85 on his second test, a
95 on his third test, and an 83 on
his fourth test. What is Mark's
average test score for all 4 tests?
Answer:
88
Step-by-step explanation:
89+85+95+83= 352,
352/4 = 88
A number is no more than five. How would you graph this inequality?
Answer:
X<=5 and you would graph it with a closed dot on five and an arrow going left of it.
Step-by-step explanation:
Answer:
[tex]a<5\\\\a\in R[/tex]
Step-by-step explanation:
In several ways, for example, let:
[tex]a[/tex], an arbitrary constant, where:
[tex]a\in R[/tex]
Besides:
[tex]a< 5[/tex]
Because the number can be greater than five.
Therefore, the graph, would be all number over the interval:
[tex](-\infty, 5)[/tex]
As you can see, all numbers bellow the line [tex]y=5[/tex].
HALP PLS 1000 students are arranged in several rows (more than 16). The numbers of students in each row are consecutive positive integers. How many students are there in the first row? (A) 20 (B) 25 (C) 28 (D) 44 (E) 80
Answer:
The correct option is;
(C) 28
Step-by-step explanation:
The information given are that;
The total number of students = 1000
The number of students in each row are consecutive positive numbers
Let the number of students in the first row be x,
Let the number of rows be 17
We have;
The number of students in the last row = x + 16
The number of students in the penultimate row = x + 15, we continue to get;
n×x + n/2×(n-1) = 1000
(The term n/2×(n-1) is from the sum of an arithmetic progression formula)
Which gives;
17×x + 17/2×16 = 1000
17×x = 1000 - 17/2×16 = 1000 - 136 = 864
x = 864/17 = Which is not an integer,
We continue checking till we get to 25 rows which gives;
25×x + 25/2×24 = 1000
25×x + 300 = 1000
25×x = 1000 - 300 = 700
x = 700/25 = 28
The number of student in the first row = 28 students.
Write each of the following expressions without using absolute value. |7m–56|, if m<8
Answer:
[tex]|7\cdot m -56| = -7\cdot m + 56[/tex] if [tex]m< 8[/tex]
Step-by-step explanation:
According to the definition of absolute value:
[tex]f(x)[/tex] if [tex]f(x) \geq 0[/tex]
[tex]-f(x)[/tex] if [tex]f(x) <0[/tex]
If [tex]m < 8[/tex], then:
[tex]y_{max} = 7\cdot (8) - 56[/tex]
[tex]y_{max} = 0[/tex]
[tex]y[/tex] becomes negative as [tex]m[/tex] diverges to [tex]-\infty[/tex].
Then, the absolute value can be rewritten as follows:
[tex]|7\cdot m - 56| = -(7\cdot m -56)[/tex] if [tex]m <8[/tex]
[tex]|7\cdot m -56| = -7\cdot m + 56[/tex] if [tex]m< 8[/tex]
What is a Stem-and-Leaf plot?
4-5 sentences.
Answer:
A stem and leaf plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit). The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.
Step-by-step explanation:
Example: Long Jump
Sam got his friends to do a long jump and got these results:
long jump
2.3, 2.5, 2.5, 2.7, 2.8 3.2, 3.6, 3.6, 4.5, 5.0
And here is the stem-and-leaf plot:
Stem Leaf
2 3 5 5 7 8
3 2 6 6
4 5
5 0
Stem "2" Leaf "3" means 2.3
Note:
Say what the stem and leaf mean (Stem "2" Leaf "3" means 2.3)
In this case each leaf is a decimal
It is OK to repeat a leaf value
5.0 has a leaf of "0"
FIRST WILL GET BRAINLLEST Each group of students receives a bag that has 8 red cubes, 2 green cubes, and 10 blue cubes. If each group makes 100 pulls and replaces the cube after each pull, how many times would you expect them to draw a green cube?
Answer:
10
Step-by-step explanation:
We can do the ratio of 8:2:10. If we add it all up, we get 20. We do 100/20 and get 5, so each number equals 5. Then we do 2*5.
Sorry if this is wrong.
TIME REMAINING
52:37
Lines c and d are parallel lines cut by transversal p.
Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8.
Which must be true by the corresponding angles theorem?
∠1 ≅ ∠7
∠2 ≅ ∠6
∠3 ≅ ∠5
∠5 ≅ ∠7
Answer:
b
Step-by-step explanation:
Can Negative numbers turn into Scientific Notation?
Answer: Yes, negative numbers can be written in scientific notation
Examples:
-1200 = -1.2 * 10^3
-1,897,000 = -1.897 * 10^6
We simply can ignore the negative at first, then convert to scientific notation (as you normally would with any positive number). Afterward, don't forget to put the negative back in.
The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping.
24x3 − 54x2 + 44x − 99
24x3 + 44x − 54x2 − 99
4x(____) − 9(____)
What is the common factor that is missing from both sets of parentheses?The polynomial 24x^3 − 54x^2 + 44x − 99 is factored by grouping.
Answer:C
Step-by-step explanation:It’s C on edge
plssssss help number 18 and 20
Answer:
18).Total mass of materials = 4.8kg
For gravel
55% of the materials are gravel
So we have
55/100 × 4.8 kg
= 2.64kg
For sand
30% of the materials are sand
We have
30/100 × 4.8
= 1.44kg
For cement
The remaining materials were cement so we add the masses of both the sand and gravel and subtract it from the total mass
That's
4.8 - (2.64 + 1.44)
4.8 - 4.08
= 0.72 kg
20).She earns £ 800 per week
She receives a raise of 7.5% which is
100 + 7.5 = 107.5%
So we have
107.5 / 100 × £ 800
= £ 860
She now earns £ 860 per week
Hope this helps you
Step-by-step explanation:
1)of 4.8kg concrete 55% is gravel,30% is sand and 15% is cement.
percent=Rate*Base
Pgravel=55%*4.8kg
Pgravel=2.64kg
Psand=30%*4.8kg
Psand=1.44kg
Pcement=15%*4.8kg
Pcement=0.72kg
2)percent=Rate*Base
percent=7.5%*£800
percent=60£
total earn=60£ + £800
total earn=£860
help asap! <3 The golf scores for the 32 members of the Belmont Country Club were 108, 89, 74, 115, 92, 86, 103, 107, 94, 89, 111, 78, 116, 82, 99, 107, 74, 78, 101, 93, 85, 98, 109, 82, 83, 105, 91, 106, 97, 84, 92, 96. Which histogram correctly shows the frequency distribution of the scores using ten-point intervals?
Answer:
histogram D
Step-by-step explanation:
From left to right, your frequencies (aka height of columns) should be 4, 8, 9, 8, and 3
PLEASE HELP!!! I AM DESPERATE BECAUSE MY CLASS IS IN A FEW MINUTES. Solve using statement reason.
Answer:
Statement 1. P
Reason 1. Theorem: The measure of an external angle of a triangle is equal to the sum of the measures of the remote interior angles.
Statement 2. 132 = 3x + 54
Statement 3. x = 26
What is the remainder in the synthetic division problem below?
-2 1 2 -3 1
O A. 11
O B. 7
O C. 9
O D. 13
Answer:
B
Step-by-step explanation:
-2 / 1 2 -3 1
____-2 _ 0_ _6_____
1 0 -3 7
Write down the first number 1 as it is.
Step 2: Multiply 1 by -2 ( 1*-2 = -2) and write under the next number. Then add
2 +(-2) = 0
Step 3: Now Multiply 0 by -2 ( 0 * -2 =0) and write under the next number ie, -3.
-3 +0 = -3
Step 4: Multiply -3 by -2, ( -3*-2 = 6) and write under the number 1
1 + 6 = 7
7 is the remainder
The remainder in the synthetic division problem given is 7.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given a synthetic division problem.
Put the first number straight down.
So 1 is taken down.
Multiplying 1 by -2, we get -2.
2 + (- 2) = 0
Multiplying 0 by -2, we get 0.
-3 + 0 = -3
Multiplying -3 by -2, we get 6.
1 + 6 = 7, is the remainder.
Hence the remainder is 7.
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10 points are placed on a circle. How many triangles is it possible to form, such that their vertices will be the given points?
Answer:
120
Step-by-step explanation:
The total number of triangles that can be made are 120.
We have a circle and 10 points are placed on it.
We have to find how many possible triangles can be made such that their vertices will be the given points.
What is a Combination?A combination can be defined as the number of possible arrangements of elements without taking into consideration the order of selection. The number of possible combinations can be given by -
[tex]\frac{n!}{(n-r)!r!}[/tex]
In the question given to us - we have 10 points on circle. Only three points are needed to make a triangle. The order does not matter here, therefore -
[tex]\frac{10!}{(10-3)!3!}\\\\\frac{10!}{7!\times3!} \\\\\frac{10\times9\times8\times7!}{7!\times3\times2\times1}[/tex]
10 x 3 x 4 = 120
Hence, the total number of triangles that can be made are 120.
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