Final answer:
The value of the discriminant is 36, which means that the quadratic equation -2x = -8x + 8 has two distinct real solutions.
Explanation:
The given equation -2x = -8x + 8 can be rearranged into a quadratic equation: -8x + 8 + 2x = 0. Combining like terms gives: -6x + 8 = 0. To find the discriminant of this quadratic equation, we look at the coefficient of x^2, which is 0. Since the discriminant D = b^2 - 4ac, where a = coefficient of x^2, b = coefficient of x, and c = constant term, in this case, a = 0, b = -6, and c = 8. Plugging these values into the formula, we have: D = (-6)^2 - 4(0)(8) = 36 - 0 = 36.
The value of the discriminant is 36. The discriminant tells us about the number of real number solutions the equation has. If the discriminant is positive (D > 0), then the equation has two distinct real solutions. If the discriminant is zero (D = 0), then the equation has one real solution. If the discriminant is negative (D < 0), then the equation has no real solutions.
In this case, since the discriminant is positive (D = 36), the quadratic equation has two distinct real solutions.
Which of the following expressions are equivalent to (9 7/8 + 2 4/5) - 1/2
Answer:
A and B
Step-by-step explanation:
C) 9 7/8 - (- 2 4/5) - (- 1/2) =
= 9 7/8 + 2 4/5 + 1/2 (F)
D) - (- 9 7/8 + 2 4/5) - 1/2) =
= 9 7/8 - 2 4/5 - 1/2 (F)
E) 9 7/8 - (- 2 4/5 - 1/2) =
= - 7/8 + 2 4/5 + 1/2 (F)
Answer:
Step-by-step explanation:
Bc bhh
Tanner plans to make 11 liters of blackberry punch and 18 liters of lemon-lime punch for the class party. He also plans to make 3 batches of cookies. One liter of punch will serve 16 students at the party. How many students will Tanner's punch serve?
Answer:
464 students
Step-by-step explanation:
So in all he has 29 liters of punch
11L blackberry punch
18L Lemon line punch
29L collectively
so if 1 liter is enough for 16 students we would multiply 16 students by 29 liters of punch giving you 464.
Sin(cosx) = 1 solve for x
Answer:
There is no solution for x.
Step-by-step explanation:
We are given that [tex]\sin (\cos x) = 1[/tex] and we have to solve for x.
Let us assume that [tex]\cos x = \theta[/tex] then [tex]\sin \theta = 1[/tex] ........ (1)
Now, we know that for any value of x the value of cos x lies between 1 to - 1.
Hence, [tex]1 \geq \cos x \geq - 1[/tex] for all x.
⇒ [tex]1 \geq \theta \geq - 1[/tex]
Now, for [tex]1 \geq \theta \geq - 1[/tex], the value of [tex]\sin \theta[/tex] can never be equal to 1.
Hence, there is no solution for x. (Answer)
Show work, please
Should not be a decimal
1/3(4 + 18)-2^2
Answer:
0
Step-by-step explanation:
1/3(4+8)-2^2
1/3(12)-2^2
1/3(12)-4
4-4
0
Complete each function table.
1. Input (v)
0
*+6
Output (y)
3
Answer:Tueyndi
Step-by-step explanation:
Answer:1.6,9,14
Step-by-step explanation:
so x+6 input is x so you put the number in the input where the x is so 0+6=6,and 3+6=9 and so on.....
Max adds 7 to a number the. Múltiples the sum by -4 the result is 3 times the same number write and since an equation to find the number n what is the number
Answer:
The number is -4.
Step-by-step explanation:
Let the number be n.
Given:
Max adds 7 to a number.
hence it is given as n+7
Multiply's the sum by -4 the result is 3 times the same number.
Hence the equation can be written as;
[tex]-4(n+7)=3n[/tex]
Now Solving the above equation to find value of n we get;
[tex]-4(n+7)=3n\\-4n-28=3n\\-4n-3n=28\\-7n=28\\n=\frac{28}{7}=-4[/tex]
The value of n is -4.
Now when we add 7 to number -4 we get answer as 3.
And when the sum is multiplied by -4 we get answer -12.
Also 3 times of number is equal to 3 multiplied by -4 we get answer as -12.
Hence when the sum is multiplied by -4 it is equal to 3 times of same number.
Hence from above we can say that the number is -4.
Final answer:
The number that satisfies Max's operation of adding 7 to a number and then multiplying by -4 to get 3 times the same number is -4.
Explanation:
Max adds 7 to a number n, then multiplies the sum by -4, and the result is 3 times the same number n. To find the number n, we first write down the equation that represents this situation:
-4(n + 7) = 3n
Next, we solve for n:
Distribute -4 inside the parenthesis: -4n - 28 = 3n
Move all n terms to one side: -4n - 3n = 28
Combine like terms: -7n = 28
Divide both sides by -7 to isolate n: n = -4
The number n that satisfies this equation is -4.
At a competition with 6 runners, 2 medals are awarded for first and second
place
Each medal is different. How many ways are there to award the medals?
Answer:
30 ways
Step-by-step explanation:
The first medal can be awarded in 6 different ways since any of the runners could have it. Once the first medal is awarded, the second medal can only be given to any of the 5 runners available.
So there are 6x5=30 different ways to award the medals
There are 30 ways to award the medals to the winners
How to determine the number of ways?The given parameters are:
Runners = 6
Medals = 2
The first position can be awarded to any of the 6 runners, while the second position can be awarded to any of the remaining 5 runners
So, the number of ways is:
Ways = 6 * 5
Evaluate
Ways = 30
Hence, there are 30 ways to award the medals
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Solve the equation:
5x-2=X+4
Answer: x = 1.5
Step-by-step explanation:
5x - 2 = x + 4
Add 2 to each side
5x = x + 6
Subtract x from each side
4x = 6
Divide each side by 4
x = 1.5
Answer:
x = 3/2
Step-by-step explanation:
5x-2=x+4 (add 2 to both sides)
5x=x+4 + 2
5x=x+6 (subtract x from both sides)
5x - x = 6
4x = 6 (divide both sides by 4)
x = 6/4 = 3/2
Which graph shows the solution to the system of linear inequalities? y > Two-thirdsx + 3 y ≤ Negative one-thirdx + 2
Answer:
The solution in the attached figure
Step-by-step explanation:
we have
[tex]y > \frac{2}{3}x+3[/tex] ----> inequality A
The solution of the inequality A is the shaded area above the dashed line [tex]y=\frac{2}{3}x+3[/tex]
The slope of the dashed line is positive
The y-intercept of the dashed line A is (0,3)
The x-intercept of the dashed line A is (-4.5,0)
[tex]y\leq -\frac{1}{3}x+2[/tex] ----> inequality B
The solution of the inequality B is the shaded area below the solid line [tex]y=-\frac{1}{3}x+2[/tex]
The slope of the solid line is negative
The y-intercept of the solid line B is (0,2)
The x-intercept of the solid line B is (6,0)
The solution of the system of inequalities is the shaded area between the shaded line and the solid line
using a graphing tool
see the attached figure
Answer:
B
Step-by-step explanation:
On edge 2021
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. -1, 2, 3
Answer:
f(x) = x³ - 4x² + x + 6
Step-by-step explanation:
The polynomial function f has zeros at -1, 2, and 3.
So, the least degree of the polynomial will be 3{As it has three roots}.
Then, if the function is of x variable then (x + 1), (x - 2) and (x - 3) will be the factors of the polynomial.
Therefore, we can write
f(x) = (x + 1)(x - 2)(x - 3)
⇒ f(x) = (x + 1)(x² - 5x + 6)
⇒ f(x) = x³ - 5x² + 6x + x² - 5x + 6
⇒ f(x) = x³ - 4x² + x + 6
Hence, this is the polynomial with least degree having rational coefficients and with leading coefficient of 1 and the zeroes -1, 2, 3. (Answer)
Find all numbers whose absolute value is -9.
Answer:
None
Step-by-step explanation:
A number's absolute value will always be positive
|9| = 9
|-9| = 9
Answer:
Step-by-step explanation:
none
Lyril inspects sneakers at a
factory. Of the first 64 pairs of
sneakers she inspected 48 were
acceptable. What is the
experimental probability that
the next pair of sneakers will be
acceptable?
40 points
Answer:
0.8
Step-by-step explanation:
Of the 60 sneakers inspected, 48 were acceptable. The experimental probability is therefore:
P = 48/60
P = 0.8
The telephone company offers two billing plans for local calls. Plan 1 charges $29 per month for unlimited calls and Plan 2 charges $19 per month plus $0.04 per call. If you have Plan 1 for 4 months, how much will your total be?
Answer:
$116 for four months
Step-by-step explanation:
$29 • 4 = 116
which graph represents a function?
Answer:
Graph C) represents a function.
Step-by-step explanation:
Graph C) is the only graph that passes the vertical line test, a way to determine if a graph is a function. All other graphs do not pass the vertical line test. The vertical line test states that if a vertical line drawn intersects the graph of the relation more than once, then the relation is a NOT a function.
The function is indeed a relationship that has only one outcome for each input value (x-value) and output value (y-value). As a result, all functions could be regarded as relationships. However, not all relations are functions because not all of them satisfy the criterion, so each unique input generates just one output.
The third option seems to be the only graph in the present situation that satisfies the vertical line test and determines if a graph is a function. The vertical line test fails on all other graphs. According to the diagonal line test, if a vertical line drawn over the graph of a relation meets it again, the relation is not a function.Therefore, the final answer is "Option C".
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A system of equations is shown:
4c + 2d = 11
(7/2) d = 41 - 220
What is the solution to the system?
C = ?
D = ?
Answer:
c = 793/28 , d = -358/7
Step-by-step explanation:
Solve the following system:
{4 c + 2 d = 11 | (equation 1)
(7 d)/2 = -179 | (equation 2)
Multiply equation 2 by 2:
{4 c + 2 d = 11 | (equation 1)
0 c+7 d = -358 | (equation 2)
Divide equation 2 by 7:
{4 c + 2 d = 11 | (equation 1)
0 c+d = -358/7 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{4 c+0 d = 793/7 | (equation 1)
0 c+d = -358/7 | (equation 2)
Divide equation 1 by 4:
{c+0 d = 793/28 | (equation 1)
0 c+d = -358/7 | (equation 2)
Collect results:
Answer: {c = 793/28 , d = -358/7
which of the followibg expressions is equivalent to the expression a^2/3
Answer:
C. I can’t really enter square roots
Step-by-step explanation:
a^2/3 = a^2*a^1/3
Which is the cube root of a squared
20 millimeters long with an area of (20x-200) square millimeters. Write an expression that represents the perimeter (in millimeters) of the octopus pupil.
Answer:
Perimeter = (20 + 2x) mm.
Step-by-step explanation:
The octopus pupil has length 20 mm and the expression for its area is given by (20x - 200) square mm.
If the width of the octopus pupil is w, then 20w = 20x - 200
⇒ w = (x - 10) mm.
Therefore, the expression for its perimeter is 2(Length + Width) = 2 ( 20 + x - 10) = 2( 10 + x) = (20 + 2x) mm. (Answer)
The expression that represents the perimeter of the octopus pupil is 20 millimeters.
Explanation:To find the expression that represents the perimeter of the octopus pupil, you need to know the length and area of the pupil. The length is given as 20 millimeters, and the area is represented by the expression (20x-200) square millimeters. The perimeter of a shape is the sum of all its side lengths.
So, for the octopus pupil, the perimeter can be found by adding up the lengths of all its sides. Since the shape is not specified, we'll assume it's a regular shape with all sides equal in length.
To find the expression for the perimeter, we need to know the number of sides. If we assume it has n sides, then each side has a length of 20/n millimeters. Therefore, the perimeter expression would be 20/n multiplied by n, which simplifies to 20 millimeters.
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7m+12 over 8= 2m-1 over 3
Answer:
m=-44/5
Step-by-step explanation:
(7m+12)/8=(2m-1)/3
cross product
8(2m-1)=3(7m+12)
16m-8=21m+36
16m-21m-8=36
-5m-8=36
-5m=36+8
-5m=44
m=44/-5
m=-44/5
Find the derivative of f(x).
f(x)=x3
Write your answer as a constant times a power of x.
Answer:
3x²
Step-by-step explanation:
[tex]\frac{d}{dx}[/tex](x³)
Apply the power rule: [tex]\frac{d}{dx}[/tex](x^a) = a * x^(a - 1):
3 * x^(3 - 1)
Simplify:
3x²
Combine like terms to simplify the expression: 9 + 3b − 1 + 7b − 2 =
Answer:
6+10b
Step-by-step explanation:
The length of a rectangle is 7 m less than three times the width, and the area of a rectangle is 66 m^2. find the dimensions of the rectangle.
Answer:
length =11m
width =6m
Step-by-step explanation:
let the w = x
L = 3x-7
area =L*w
66 = (3x-7)*x
66 = [tex]3x^{2} -7x[/tex]
[tex]3x^{2} -7x-66=0[/tex]
[tex]3x^{2} -18x+11x-66=0[/tex]
3x(x-6)+11(x-6)=0
(3x+11)(x-6)=0
x-6=0
x=6
recall,
L = 3x-7 =3*6-7=11
Please answer this correctly
Answer:
2
Step-by-step explanation:
Conversion factor: 1/8
1) Cup = Fluid Ounce / 8
2) Cup = 32 / 8
3) Cup = 4
Answer:
2
There are 4 cups in a 32 fl oz carton, so she needs to get 2 more.
-1.5,-1,?,0 what is the missing ? HELP PLZ
Answer:
-0.5
Step-by-step explanation:
It looks like it's increasing by 0.5
Answer:-0.5
Step-by-step explanation:Say you were doing it in postive form half of 1 is 0.50 meaning you just add a negative sign
For the following right triangle, find the side length x. Round your answer to the nearest hundredth. 11, 19
If the unknown is the hypotenuse...
Following pyth. theorem,
x^2=11^2+19^2
x=21.95
If the unknown is a leg other than the hypotenuse...
Following pyth. theorem,
x^2=19^2-11^2
x=15.49
✓-2x = x please solve
Answer:
the sign =3x
Step-by-step explanation:
you just need to do the step
sign-2x+2x=x+2x
sign=3x
At a sale, a suit is being sold for 73% of the regular price. The sale price is $511. What is the regular price?
Answer:
700 dollars,
Step-by-step explanation:
what you do is divide 511 by 73 then multiply the number by 100
How do you find the unit rate of 72/12
Answer:
6 : 1Step-by-step explanation:
[tex]\dfrac{72}{12}=\dfrac{72:12}{12:12}=\dfrac{6}{1}=6:1[/tex]
What is the value expression of - 1.6 × (- 25 ) =
Answer:
40
Step-by-step explanation:
-1.6(-25)=40
Answer:
40
Why didn't you just use a calculator
Which of the following are equivalent ratios?
A: 12 : 16
B: 3 : 5
C: 2 : 3
D: 6 : 8
The equivalent ratios are A and D.
Here's an explanation:
When you look at D, you see that 12 is a multiple of 6, and 16 is a multiple of 8. So you know that it looks like they're equivalent. Then you test it out, 12/2=6. 16/2=8. so 12:16 = 6:8. Eyeballing it first can save time sometimes.
How many lines of symmetry does the figure have
Answer:
The answer is 3.
Step-by-step explanation:
If you divide by the middle on all corners in the end you will get 3 lines of symmetry because you eventually used all three line.
Hope this helped!
Answer:
the answer is A. 3
Step-by-step explanation:
i just took the test