Answer:
Step-by-step explanation:
You have to make a table. Do this by taking each of the x values you see there and plug in for x into the equation and solve for y. Then plot the points.
x| -1 | -2 | -3 | -4 | -5 |
y|
We will plug each x value in, do the math, and come up with y. The first x value is -1:
[tex]y=(-1)^2+6(-1)+10[/tex]. Do the math on that and you should get that y = 5. So one coordinate on this graph is (-1, 5).
At x = -2:
[tex]y=(-2)^2+6(-2)+10[/tex]. Do the math on that and you should get that y = 2. Another coordinate on this graph is (-2, 2).
At x = -3:
[tex]y=(-3)^2+6(-3)+10[/tex]. Do the math on that and you should get that y = 1. A third coordinate on this graph is (-3, 1).
At x = -4:
[tex]y=(-4)^2+6(-4)+10[/tex]. Do the math on that and you should get that y = 2. A fourth coordinate on this graph is (-4, 2).
At x = -5:
[tex]y=(-5)^2+6(-5)+10[/tex]. Do the math on that and you should get that y = 5. A fifth point on that graph is (-5, 5).
Plot all those points and connect the dots. This is a parabola-shaped graph because your equation is a second degree (quadratic).
Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below.
Darius's scores: 96,54, 120, 87, 123
Barb's scores: 92, 98, 96, 94, 110
Barb says that she is the winner. Darius says that it is a tie, Who is correct?
O Barb is correct if both the mean and median scores are considered.
O Barb is correct if only the median score is considered
O Darius is correct if both the mean and median scores are considered,
O Darius is correct if only the median score is considered.
Answer:
D. I hope it helps!
Step-by-step explanation:
Darius is correct if only the median score is considered.
just took the quiz on edg.
What is the solution to the system of linear equations graphed below?
A.) (0, 4)
B.) (4, 1/2)
C.) (1/2, 4)
D.) (0, 3)
Answer:
C.) (1/2, 4)
Step-by-step explanation:
The solution is where the two lines intersect
The lines intersect at x = .5 and y =4
Answer:
C.) (1/2, 4)
Step-by-step explanation:
In an experiment, a fair coin is tossed 4 times and the number of heads that occurs is recorded.
Eighty trials of the experiment are run.
The table shows the frequency of 0, 1, 2, 3, or 4 heads occurring in the trials.
Number of heads
0
1
2
3
4
Frequency
4
8
36
20
12
Create a probability distribution for the discrete variable.
Drag the sliders on the horizontal axis to represent the probability distribution.
Answer:
Step-by-step explanation:
Hello!
The experiment consist in "a fair coin is tossed 4 times" the recorded variable is X: number of heads obtained after tossing the coin 4 times
The possible values for this variable: X: 0; 1; 2; 3; 4
The frequencies observed for each possible value of X after repeating the experiment for n=80 times
fi: 4; 8; 36; 20; 12
To create the probability distribution you have to calculate the probability for each value of X, by doing the following calculation [tex]p(xi)= \frac{fi}{n}[/tex]
p(X=0)= p(0)= 4/80= 0.05
p(X=1)= p(1)= 8/80= 0.10
p(X=2)= p(2)= 36/80= 0.45
p(X=3)= p(3)= 20/80= 0.25
p(X=4)= p(4)= 12/80= 0.15
For this to be a probability of distribution the following conditions are to be met:
p(xi)≥0∑p(xi)=1All calculated probabilities are at most zero.
∑p(xi)= 0.05+0.10+0.45+0.25+0.15= 1
xi | 0 | 1 | 2 | 3 | 4
fi | 4 | 8 | 36| 20 | 12
p(xi)| 0.05| 0.10| 0.45| 0.25| 0.15
F(Xi)|0.05| 0.15 | 0.60| 0.85| 1
I hope this helps!
What is 6 y minus 3 x = negative 18 written in slope-intercept form?
Answer:because that’s what the answer is
Step-by-step explanation:
Answer:
Y=1/2x-3
Step-by-step explanation:
find the slope between (-5,-4) and (-12,7)
Answer:
Slope = [tex]-\frac{11}{7}[/tex]
Step-by-step explanation:
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
Slope = [tex]\frac{7+4}{-12+5}[/tex]
Slope = [tex]\frac{11}{-7}[/tex]
Slope = [tex]-\frac{11}{7}[/tex]
Answer:
11/-7
Step-by-step explanation
- First you get you X1 and Y1 then X2 and Y2
-after getting that your problem should look like this:
7 minus negative 4
over negative -12 minus negative -5
which when subtracted will get you 11/-7!
please give brainliest!
Part A: Joel uses the incorrect expression 0.95(190)(0.8) to calculate that the computer will cost him a total of $144.40. Describe his error and write the correct expression. * Part B: How much will Joel pay for his tablet? Show your work on a separate piece of paper and upload the picture.
Answer:
Part A) The correct Expression : (1.05)(190)(0.8)
=> The error of Joel was that instead of adding the sales tax, he subtracted it.
Part B) $159.60
Step-by-step explanation:
Part A:
To calculate the computer cost, we need to find out the selling price first.
There's a discount of 20% so the selling price will be 100% - 20% = 80% =>80/100 = 0.8
So, We'll multiply the cost price by 0.8
=> (190)(0.8)
But, there is a sales tax of 5%
So, the selling price with cost price will be:
=> 100% + 5% = 105% => 105/100 = 1.05 (We'll multiply this too with the first equation that we made above)
So, the expression will be:
=> (1.05)(190)(0.8)
The error of Joel was that instead of adding the sales tax, he subtracted it.
Part B)
Joel will pay for the tablet:
=> (1.05)(190)(0.8) [We used the above expression]
=> $159.60
What is the inverse of the function f(x) = 2x + 1?
1
o h(x) = 5x-
2x +
O h(x) = 1
3x-2
N/" Nr
Oh(x) =
O h(x) = x + 2
Answer:
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
[tex]\frac{y-1}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , so
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]
Answer: " f⁻¹(x) = (x-1)/2 "; or, write as:
___________________________________
" f⁻¹(x) = (x/2) - (1/2) " .
___________________________________
Step-by-step explanation:
___________________________________
Given: f(x) = 2x + 1 ; Find the inverse:
___________________________________
1) Rewrite as y = 2x + 1 ;
2) Replace the "x" with "y" ; and the "y" with "x" ; and rewrite:
x = 2y + 1 ;
3) Now, "solve"; with "y" standing alone as a single, isolated variable on the left side of the equation, with an "equals" sign following the "y" :
x = 2y + 1 :
Subtract "1" from each side of the equation:
x - 1 = 2y + 1 - 1 ;
to get:
x - 1 = 2y ;
___________________________________
↔ Rewrite as :
2y = x - 1 ;
Now, divide each side of the equation by "2" ;
to isolate "y" on the left-hand side of the equation;
& to solve in terms of "y":
___________________________________
2y / 2 = (x-1)/2 ;
___________________________________
to get:
y = (x-1)/2 ;
or; write as: y = (x/2) - (1/2);
___________________________________
Now, rewrite; by replacing the "y" with "f⁻¹(x) "; as follows (to indicate that this is the "inverse function"):
___________________________________
f⁻¹(x) = (x-1)/2 ; or, write as:
___________________________________
f⁻¹(x) = (x/2) - (1/2) .
___________________________________
Hope this is helpful to you!
Best wishes!
___________________________________
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.
Answer:
0.59375
Step-by-step explanation:
In a uniform distribution the probability that the time t is greater than any given value, X, is:
[tex]P(t\geq X)=1-\frac{X}{b-a}[/tex]
In this problem, the limits of the distribution are a = 0 and b = 8 minutes.
For X =3.25 minutes:
[tex]P(t\geq 3.25)=1-\frac{3.25}{8-0} \\P(t\geq 3.25)=0.59375[/tex]
The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Calculation of the probability:Since The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes.
So, here the probability is
[tex]= 1 - (3.25 \div (8-0))\\\\[/tex]
= 0.59375
Hence, The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Learn more about probability here: https://brainly.com/question/15241200
Expand and then collect the following expression 5(2b+1)+6(3b+2)
Step-by-step explanation:
10b+5+18b+10
28b+15 is the answer
Answer:
28b+17
Step-by-step explanation:
=> 5(2b+1) + 6(3b+2)
Expanding the brackets
=> 10b+5+18b+12
Combining like terms
=> 10b+18b+5+12
=> 28b+17
x + y + 5) and (2x – 2y – 3)
Step-by-step explanation:
Since your question is incomplete, I have given you two different options based on your incomplete question.
Hope you understand this.
HAVE A GOOD DAY!
What is the product?
Answer:
It's (B)
Step-by-step explanation:
Amanda, Sarah and Bethany share the cost of a holiday in the ratio 5 : 4 : 3.
Amanda pays £235
a) Work out the total cost of the holiday.
b) Work out how much Bethany pays.
(show all your working out)
Answer:
a. £564
b. £141
Step-by-step explanation:
a. Firstly, we add up the ratios
= 5 + 4 + 3 = 12
Amanda’s share was 5
Let the total amount be £x
Thus; 5/12 * x = 235
5x = 12 * 235
x = 2820/5 = 564
The total cost of the holiday is £564
b. We want to calculate what Bethany paid
That would be 3/12 * 564 = £141
Evaluate 2/5 divided 1/4 Give answer as a mixed number in its simplest form
Answer:
1 3/5
Step-by-step explanation:
2/5 ÷ 1 /4
Reciprocal.
2/5 × 4/1
Multiply.
8/5
Convert to a mixed fraction.
1 3/5
The required mixed number is given as 3 1/5 and in simplest form, it is 8/5.
Given that,
To evaluate 2/5 divided 1/4,
Fraction is defined as the number of compositions that constitutes the Whole. Fraction is representation as a/b where a and b are integers.
Here,
According to the question,
= [2/5 ]/ [1/4]
= 2/5 × 4 / 1
= [2 × 4] / [5 × 1]
= 8 / 5
Now,
Mixed number = 8/5 = 3 1/5
Thus, the required mixed number is given as 3 1/5 and in simplest form, it is 8/5.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ3
Given a right triangle with acute angle of 40° and a hypothenuse length of 35 feet, find the length
of the side opposite the acute angle.
Answer:
the length of the side opposite = 20.6 feet
Step-by-step explanation:
using SOHCAHTOA
Sin 40 = opp / hyp
Sin 40 = opp / 35
opp = sin 40 x 35
opp = 20.6 feet
The number or expression in a power that is multiplied by itself?
Answer:
the base???
Step-by-step explanation:
Answer:
Exponent
Step-by-step explanation:
An exponent is a shorthand notation which tells how many times a number (or expression) is multiplied by itself.
Order the following numbers from least to greatest. 5/4; 1.3; 1 8/25 (The 1 8/25 is a mixed number reading One and Eight Twenty-fifths, not 18/25)
Answer:
5/4,1.3,1 8/25
Step-by-step explanation:
5/4 = 1.25
1 8/25=1.32
1.25<1.3<1.32
What is the value of m in the equation
zm = 16, when n = 8?
Step-by-step explanation:
nm=16
m=16/n
m=16/8
m=2
1/3 of 12 =2/3 of PLEASE HELP ME!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
Let the number be x.
1/3 × 12 = 2/3 × x
Multiply.
12/3 = 2/3x
4 = 2/3x
Multiply both sides by 3/2.
4 × 3/2 = x
12/2 = x
x= 6
Answer:
1/3 of 12 = 2/3 of 6
Step-by-step explanation:
1/3 · 12 = 2/3 · x
12/3 = 2x/3
Multiply 3 on both sides.
12 = 2x
12 ÷ 2 = x
6 = x
What is the seventh term in the arithmetic sequence defined by the explicit formula an=5n+3? (PLEASE HELP!!!)
Answer:
a7 = 38
Step-by-step explanation:
n is the term indicator
an = 5n+3
Let n=7 if we are looking for the 7th term
a7 = 5*7 +3
a7 = 35+3
a7 = 38
A server gets an average of $4.50 in tips for each table he serves. In the morning, the server had 12 tables and in the afternoon the server had 13 tables Find his tips
Answer:
$112.50
Step-by-step explanation:
so the first thing you would do is add 12 to 13 to get
12 + 13 = 25
then multiply 25 by 4.50 to get
25 x 4.50 = 112.50
so the average number of tips the server has received is $112.50
HELP ASAP ! Identify the volume and surface area of a sphere in terms of pi with a great circle area of 144pi ft^2.
Answer:
Area of sphere = 576 pi ft^2
Volume of sphere = 2,304 pi ft^3
Step-by-step explanation:
Radius of great circles are the same as radius of the sphere
So let’s calculate the radius of the sphere from the area given;
Mathematically;
pi * r^2 = 144pi
r^2 = 144
r = square root of 144
r = 12 ft
Volume of sphere = 4/3 * pi * r^3
= 4/3 * pi * 12^3 = 2,304 pi ft^3
Area of sphere = 4 * pi * r^2 = 4 * pi * 12^2 = 4 * 144 * pi = 576 pi ft^2
how do you do this : 40% of 98 = _____
Answer:
39.2.
Step-by-step explanation:
Think of the word "of" as a sign that you have to multiply.
- Hope this helped you.
Answer:
39.2
Explanation:
To solve this problem, we must first convert the forty percent into a decimal
⟹ 40% = 0.40
Next, multiply forty percent (as a decimal) by ninety eight
⟹ 0.40 × 98 = ?
⟹ 0.40 × 98 = 39.2
Therefore, forty percent of ninety eight is 39.2.
Pls help me it is urgent .A trader bought a plate for 120 naira and sold it for 168 naira .What is his percentage profit.
Answer:
40%
Step-by-step explanation:
He made 48 naira.
48 = 40% * 120
Write 90 cm as a fraction of 2.4 m. Give your answer in its simplest form.
Answer:
[tex]\frac{3}{80}[/tex]
Step-by-step explanation:
90 cm in metres is = 0.09 m
Writing it as a fraction of 2.4 m
=> [tex]\frac{0.09 m}{2.4 m}[/tex]
In simplest form
=> [tex]\frac{3}{80}[/tex]
Sort each equation according to wnether it has one solution, infinitely many solutions, or no solution
5(x - 2) = 5x - 7
One Solution
Infinitely Many Solutions
No Solution
4x - 2) = 3x - 4
6x+5) = 6x +11
Step-by-step explanation:
[tex]5(x - 2) = 5x - 7 \\ 5x - 10 = 5x - 7 \\ 0 = 3[/tex]no solutions
[tex]4x - 2 = 3x - 4 \\ x = - 2[/tex]one solution[tex]6x + 5 = 6x + 11 \\ 5 = 11[/tex]
no solutions
I need help with this what’s the answer
Answer:
If we look at the table we notice that 2 + 4 = 6, 3 + 4 = 7, 4 + 4 = 8 and so on so the equation is y = x + 4.
Answer:
x+4
Step-by-step explanation:
To solve this question we must look at the examples :
x=2 and y=66-2=4
x=2 and y=77-3=4
so the aswer is : y = x + 4
Each of the following sets of dimensions represents the dimensions of a right rectangular prism. All of them have the same volume except:
Answer:
Its A
Step-by-step explanation:
i got it right
Which equation corresponds to the sentence
Answer:
5x = 60
Step-by-step explanation:
Let the number be x.
The product of 5 and x equals 60.
5 × x = 60
5x = 60
Hey there!
Answer:
5x = 60.
Step-by-step explanation:
If a product (multiply) of 5 and a number equals 60:
x - represents a "number"
5 · x = 60
5x = 60.
‼️‼️10 points‼️‼️
1. Is the relationship shown by the data linear. If so, model the data with an equation.
A. The relationship is linear; y-5=-4/5(x-5).
B. The relationship is not linear.
C. The relationship is linear; y-5=5/4(x-1).
D. The relationship is linear; y-1=4/5(x-5).
Answer:
The correct answer is B.
Step-by-step explanation:
There is no clear rule regarding the relationship with these numbers. So it is not linear.
Good Luck!
PLEASE HELP!!
triangle abc is reflected about the line y=-x to give triangle a’b’c’ with vertices A’(-1, 1) B(-2, -1), C(-1, 0). what are the vertices of triangle abc
Answer:
-7,-6,-3.these are the vertices