Answer:
The ratio of number of students who watched basketball most often to the total number of students is 5 to 20 or 5:20
Step-by-step explanation:
Because 5 students named basketball as the spot the watch most often on television, while 8 of them said baseball and 7 said football. To find the total numbers of students we have to add all the students together so 8 + 7 is 15 and 15 + 5 is 20.
Hoped this help :)
Whats values x= 2+/- i are the the roots of the quadratic equation?
Answer:
x^2 - 4x + 5 = 0
Step-by-step explanation:
:)
x = (2 + i) and (2 - i) are the roots of the quadratic equation f(x) = x² - 4x + 5.
What are roots of a quadratic equation?The values of variables satisfying the given quadratic equation are called its roots.
Given (2 + i) and (2 - i) are roots of the quadratic equation.
Let the quadratic equation be f(x).
(x - (2 + i)) and (x - (2 -i)) are the factors of f(x).
Since, f(x) is a quadratic equation, it has only two roots.
f(x) = (x - (2 + i))(x - (2 - i))
f(x) = x² - (2 - i)x - (2 + i)x + (2 - i)(2 + i)
f(x) = x² - 2x + ix - 2x - ix + 4 - i²
f(x) = x² - 4x + 4 + 1
f(x) = x² - 4x + 5
Learn more about roots of quadratic equation here
https://brainly.com/question/26926523
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Write an integer (positive or negative whole number) to represent each description.
Integer Vocabulary
The football player had a 5-
yard loss on the play.
17 units to the left of -6 on a number
line.
Answer:
Football player= -5
Number line= -23
Step-by-step explanation:
Loss means negative
Left on a number line is subtraction
The graph shows the number of miles you and a friend run each week while training for a race.
Answer: 4 miles
Step-by-step explanation:
PLZ HELP IM BEGGING
Answer:
-x+y= -14 (get this equation to where you can easily plug it in for a variable)
y= x -14
5x +6y =26 (plug the value above in for y and then solve)
5x + 6 (x-14) = 26 (use the distributive property)
5x +6x - 84 = 26 (combine like terms on the left side)
11x - 84 =26 (add 84 to both sides)
11x = 110 (divide both sides by 11 to isolate the x-variable)
x= 10 (this is the value for x. plug it into the easier equation and solve)
-(10) +y = -14
y= -4
(10, -4) (this is the solution for the system of equations)
Please help me with this ;(
A.it is a function
B.it is not a function
help please i have an f!!
Answer:
1x=3y
-9x=-2y
Step-by-step explanation:
6x=-4y
17x=-2y
4y
17x=-2y
A bowl contains 61 red and yellow Skittles. The number of red Skittles is 10 more than twice the number of
yellow Skittles. How many of each color are in the bowl?
Define your variables and write a system of equations that could be used to determine the number of red
Skittles and yellow Skittles in the bowl. (DO NOT SOLVE THE SYSTEM)
Let
Equation 1:
Let
Equation 2:
Answer:
the red skittles be 44 and yellow skittles be 17
Step-by-step explanation:
The computation of the number of each color are in the bowl is as follows;
Let us assume the red skittles be y
And, the yellow skittles be x
The first equation is
x + y = 61
And, the second equation is
y = 2x + 10
Now put the second equation in the first equation
x + 2x + 10 = 61
3x = 51
x = 51 ÷ 3
= 17
And, y = 2 (17) + 10
= 34 + 10
= 44
Hence, the red skittles be 44 and yellow skittles be 17
2 + 2 = ______________________________________________
Answer:4
Step-by-step
2x - 3y = 3 solve y
Answer:
Y=-1+2x/3
Step-by-step explanation:
Move all the terms that don't contain y to the right side and solve. Hope this helps!
While on vacation in Bloomington, Ashley went out for a dinner that cost $20. If sales tax in Bloomington is 10% and Ashley left a 15% tip on $20, what was the total cost of her meal?
Answer:
$25
Step-by-step explanation:
Given that:
Cost of Ashley's dinner in Bloomington = $20
Sales tax = 10%
Tip = 15% on $20
To find:
Total cost of the meal ?
Solution:
Let us find the sales tax first of all.
Sales tax is 10% of the total bill.
Therefore, sales tax = 10% of $20
[tex]\Rightarrow \dfrac{10}{100}\times 20\\\Rightarrow \$2[/tex]
Tip left is 15% of the total bill.
Therefore, tip = 15% of $20
[tex]\Rightarrow \dfrac{15}{100}\times 20\\\Rightarrow \$3[/tex]
Now, total cost of the meal = Food cost + Sales tax + tip
Total cost of the meal = $20 + $2 + $3 = $25
A line passes through the points (-8, 7) and (-11,-11). Find the value of a such 1 point
that the point (-7,a) lies on the line. a=
Your answer
Answer:
a=12
Step-by-step explanation:
we need the slope of this line. Find it with the slope formula
m= y2-y1 / x2-x1 with the points given p1=(-8,7) and p2=(-11,-11)
m=-11-7 / -11-(-8) (x1,y1) (x2,y2)
m= -18 /-11+8
m= -18 / - 3
m= 6
next plug in one of the point into the point-slope formula [y-y1=m(x-x1)]
y-7=6(x-(-8)) ( simplify this towards the slope intercept form [y=mx+b]
y-6=6(x+8)
y-6=6x+48
y=6x+54
now we can plug in our point of (-7,a) to find what a is
a=6(-7)+54
a=-42+54
a=12
:)
Given quadrilateral RSTU, what is the measure of angle R? HELPPPPPPP PLEASEEEEE!!!!!!
Answer: did you ever get the answer?
Step-by-step explanation:
Answer:
Step-by-step explanation:
?
Can someone please help! Its just Area so it should be pretty simple but I am stuck please help!
Answer:
3 and 7
Step-by-step explanation:
What is 6/-1 expressed as an integer?
Answer:
-6
Step-by-step explanation:
calculate the rise and run to find the slope of the line
Answer:
3
Step-by-step explanation:
To find the slope of the line, you can use the formula rise/run.
Every time the graph moves one unit across the x-axis, it moves three spaces up. Therefore,
Rise = 3
Run = 1
Now to plug this into our formula:
3/1 = 3
The slope of the line is 3.
HELP PLZ
If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),
A. find each side length
B. classify the triangle based on the sides
Answer:
the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C
Step-by-step explanation:
Write the equation of a line with a slope of 3 that passes through (-3,2).
Answer:
y = 3x + 11
Step-by-step explanation:
Substitute the information into the point-slope form equation.
Point-slope form: y - y₁ = m(x - x₁)
y - 2 = 3(x - (-3))
y - 2 = 3(x + 3)
y - 2 = 3x + 9
y = 3x + 11
In the equation y=4 over 3 x +5 what is the slope and y-intercept
Answer:
Slope = [tex] \frac{4}{3} [/tex]
Y-intercept = 5
Someone please do this!
Answer:
£518.42
Step-by-step explanation:
There were 45 runners to start a race. In the first half of the race 2/3 of them dropped out. In the second half 2/5 of the remaining runners dropped out. How many runners finished the race?
Answer:
18 racers finished.
Step-by-step explanation:
In the first half, 30 racers dropped out, because 2/3 of 45 is 30. In the 2nd half, 12 racers dropped out, because that is 2/5 of 30. So, in the end, 18 racers finished. (I might have done this wrong i did my best)
Help with the whole thing please and thanks
1a. closest to 1
b. closest to 0
2a. closest to 1
b. closest to 1/2
Numb 3. Ain't clear.
4. Not sure.
5a. closer to 1
b.closer to 1/2
c. 3/4 - 5/12 = 1/3
6. 26/15
7. 7/18
8. 47/240
9. 191/225
10. 11/60
11. 81/200
16) Ken earned $128 from his part-time job this summer. He spent 25% of his money on games. He
is going to donate 1/6 of the remaining money to charity. How much will the charity receive?
OA) $15
OB) $16
OC $32
OD) $80
Answer:
B) $16
Step-by-step explanation
rewrite the algebric expression using disstributive property
5(2x+7)
Violet saw a scarf online for $24. If she has an 18% discount coupon what would be the discount amount?
What is the solution for 3x =9
x = 3
Divide each term by 3 and simplify.
A tornado is located between city hall and a cell phone tower and is heading towards the cell phone tower. By what angle does the tornado’s direction need to change so that it passes over the radar station instead?
Answer:
the amount of angle the hall is so prob like 5
Step-by-step explanation:
you provided insufficient details to answer
Answer: 30 degrees
Step-by-step explanation:
2 interior angles of 75 degrees.
75+75=150.
180-150=30
12x 5 =(4x 2 )(C)12, x, start superscript, 5, end superscript, equals, left parenthesis, 4, x, squared, right parenthesis, left parenthesis, C, right parenthesis C=
Answer:
3x³
Step-by-step explanation:
Given the expression
12x^5 =(4x^2 )(C)
We are to find the value of C
Rewriting the equation will give;
(4×3)x²•x³ = 4x²C
4x²•3x³ = 4x²C
Divide both sides by 4x²
4x²•3x³/4x² = 4x²C/4x²
3x³= C
Hence the function C is 3x³
Please help down below
Answer:
The answer is B
Hope this helps
Answer:
The first answer
Explanation:
Ok I added an explanation lol-
So B is incorrect. It gets confused. 332/4 simplified isn't 1/83, but it's 83/1 (aka 83)
C doesn't even make sense 6-6
And D isn't 5 2/5 it's 7 2/5
What is a formula for the nth term of the given sequence? 48, 72, 108
Answer:
[tex]a_n=48*1.5^{n-1}[/tex]
Step-by-step explanation:
Geometric Sequence
In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
48, 72, 108, ...
The common ratio is found by dividing the second term by the first term:
[tex]r=\frac{72}{48}=1.5[/tex]
To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.
Now we are sure this is a geometric sequence, we use the general term formula:
[tex]a_n=a_1*r^{n-1}[/tex]
Where a1=48 and r=1.5
[tex]\boxed{a_n=48*1.5^{n-1}}[/tex]
For example, to find the 5th term:
[tex]a_5=48*1.5^{5-1}=48*1.5^{4}=243[/tex]