Answer:
x² - 2x - 15 = 0Step-by-step explanation:
Roots:
x₁ = -3, x₂ = 5The equation:
(x - x₁)(x - x₂) = 0(x - (-3))(x - 5) = 0(x + 3)(x - 5) = 0x² + 3x - 5x - 15 = 0x² - 2x - 15 = 0Step-by-step explanation:
Let the roots be a and b
a=-3b=5To form a equation the formula is
[tex]\sf x^2-(a+b)x+ab[/tex]
[tex] \sf➡ {x}^{2} - ( - 3 + 5)x + ( - 3)5 \\ \sf \: ➡ {x}^{2} - 2x - 15 = 0[/tex]
What is the simplified form of i^3
O A. 1
O B.-i
O c. i
O D. -1
Answer:
B
Step-by-step explanation:
B because i² makes +1 and i=-1
so i³=-i
HELP PLEASE :))))))))))))))
Answer:
r = 0.1Step-by-step explanation:
Given,
y = rx
Hence,
=> rx = y
[tex] = > r = \frac{y}{x} [/tex]
[By putting the value of x and y]
[tex] = > r = \frac{1.4}{14} [/tex]
=> r = 0.1
Hence,
The constant variation r is 0.1 (Ans)
PLEASE HELP WITH BOTH I WOULD APPRECIATE IT SO SO SO MUCH❤️
Answer:
The answer to question 14 is (6, 5), and the answer to question 15 is D) x = -2 and y = 1.
Step-by-step explanation:
Question 14 explanation: Because each line on the graph represents a different function, that means that the point where they intersect is the answer, as the point both appear on the equations [tex]y = \frac{1}{2} x+2[/tex] and [tex]y=x-1[/tex]. Since the two equations' point of intersection is (6, 5), that means the solution to the system of equations is the point (6, 5).
Question 15 explanation: The solution to the system of equations [tex]3x+4y=-2[/tex] and [tex]2x-4y=-8[/tex] would be the x and y values that satisfy both equations. If you select the pair on selection D, you'll find that it's valid. [tex]3(-2)+4(1)=-2[/tex] ⇒ [tex]-6+4=-2[/tex] ⇒ [tex]-2 = -2[/tex], which is true, so choice D works for the first equation. [tex]2(-2)-4(1)=-8[/tex] ⇒ [tex]-4-4=-8[/tex] ⇒ [tex]-8=-8[/tex], which is also true. This means that x = -2 and y = 1 is the solution to the system of equations, making choice D the correct answer.
What is the median of the data set?
10, 18, 21, 25, 31, 33, 36
O A. 10
O B.7
C. 36
D. 25
Answer:
D
Step-by-step explanation:
Median = The middle number ( in terms of value )
So the first step is usually to put the set of numbers in order from least to greatest but they have already done that for us
That being said all we have to do is find the middle number
In the set, 10, 18, 21, 25, 31, 33, 36
the middle number would be 25
therefore your answer is D
Answer:
D. 25
Step-by-step explanation:
10, 18, 21, "25", 31, 33, 36
Hope this helps
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided
Solve the exponential equation
Solve exponential equation 1/16=64^4x-3
Answer:
x = 7/12
Step-by-step explanation:
Solve the exponential problem :
1/16=64^4x-3
1 / 4^2 = 4^3(4x - 3)
4^-2 = 4^3(4x - 3)
-2 = 3(4x - 3)
-2 = 12x - 9
-2 + 9 = 12x
7 = 12x
7/12 = 12x/12
7/12 = x
Hence, x = 7/12
Answer is 7/12, or approx. 0.58333... Answer explained in attached file.
Is this right? Please help me
Answer:
I think so but I an not fully sure
What are all of step to get 3m+4=1
Answer:
Step-by-step explanation:
3m=-3
m=1
Answer:
m = -1
Step-by-step explanation:
3m + 4 = 1
subtract 4 from each side of the equation:
3m + 4 - 4 = 1 - 4
3m = -3
divide both sides by 3:
3m/3 = -3/3
m = -1
Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 64 sandwiches in all, 16 of which were turkey. What percentage of the sandwiches were turkey sandwiches?
Answer:Percentage of the sandwiches which were turkey=25%
Step-by-step explanation:
Number of sandwiches in all(ham and turkey)= 64
Number of turkey sandwiches =16
Percentage of the sandwiches which were turkey=16/64 x 100
=0.25 x 100
=25%
Be sure to show your work and solve for f:
8= f - ( 13 - 2 )
Answer:
f = 19
Step-by-step explanation:
8 = f - (13 - 2)
f - (13 - 2) = 8
f - 11 = 8
f - 11 + 11 = 8 + 11
f = 19
Answer:
i think the answer is f=19
Need help with Algebra 2???
Dunder Mifflin recently expanded its supply to include not just paper, but also copiers (much to Pam’s delight). The expansion was a smashing success, with the copier production process producing defective parts only 0.8% of the time during the first year. Michael Scott believes that updates to the production technology have improved this process. He randomly selects 1000 parts and finds 6 defective parts. Do these data provide evidence at the 5% level that the process has improved?
I don’t understand what I’m suppose to do. Can someone please help?
From the 64 values in the table on the left, count how many fall within the given ranges under the "classes" column in the table on the right. The "frequency" is the number of values in the data that belong to a given "class".
For example, "< -16.0" means "values below -16.0". Only one number satisfies this: -16.2 (first row, third column). So the frequency for this class is just 1.
Then for the range "-15.9 - 13.0", which probably means "numbers between 15.9 and -13.0, inclusive", the frequency is 0 because every number in the table is larger than the ones in this range.
And so on.
Gloria, Teresa, and Rebecca went to an office supply store. Gloria bought 8 pencils, 4 markers, and 6 erasers. Her total was
$22.00. Teresa spent $19.25 buying 5 pencils, 7 markers, and 8 erasers. Rebecca bought 5 pencils, 5 markers, and 4
erasers for $15.75. What is the cost of each item?
Answer:
pencil: $2
marker: $0.75
eraser: $0.5
Step-by-step explanation:
Let the prices of one pencil, one marker, and one eraser be p, m, and e, respectively.
Gloria:
8p + 4m + 6e = 22 Eq. 1
Teresa:
5p + 7m + 8e = 19.25 Eq. 2
Rebecca:
5p + 5m + 4e = 15.75 Eq. 3
Subtract Eq. 3 from Eq. 2:
2m + 4e = 3.5 Eq. 4
Multiply Eq. 2 by 8 and subtract from it Eq. 1 multiplied by 5.
40p + 56m + 64e = 154 Eq. 2 times 8
(-) 40p + 20m + 30e = 110 Eq. 1 times 5
----------------------------------------
36m + 34e = 44
18m + 17e = 22 Eq.5
Now use Equations 4 and 5 as a system of two equations in two variables.
Multiply Eq. 4 by 18. Subtract Eq. 5 from it.
36m + 72e = 63
(-) 36m + 34e = 44
-----------------------------
38e = 19
e = 19/38
e = 0.5
Now substitute e = 0.5 into Eq. 4 to fond m.
2m + 4e = 3.5
2m + 4(0.5) = 3.5
2m + 2 = 3.5
2m = 1.5
m = 0.75
Substitute e = 0.5 and m = 0.75 into Eq. 1 to find p.
8p + 4m + 6e = 22
8p + 4(0.75) + 6(0.5) = 22
8p + 3 + 3 = 22
8p = 16
p = 2
Answer:
pencil: $2
marker: $0.75
eraser: $0.5
The cost of each of the items are: cost of pencil = $2, cost of marker = $ 3 / 4 and cost of eraser = $ 1 / 2
let
the cost of pencil = x
the cost of marker = y
the cost of eraser = z
How to form the equation to calculate cost of each itemGloria bought 8 pencils, 4 markers, and 6 erasers. Therefore,
8x + 4y + 6z = 22
Teresa spent $19.25 buying 5 pencils, 7 markers, and 8 erasers. Therefore,
5x + 7y + 8z = 19.25
Rebecca bought 5 pencils, 5 markers, and 4 erasers for $15.75. Therefore,
5x + 5y + 4z = 15.75
Let'a combine the equation
8x + 4y + 6z = 22
5x + 7y + 8z = 19.25
5x + 5y + 4z = 15.75
Therefore,
x = 2, y = 3 / 4 and z = 1 / 2
Therefore, the cost of each item are as follows;
cost of pencil = $2
cost of marker = $ 3 / 4
cost of eraser = $ 1 / 2
learn more on equation here: https://brainly.com/question/14801823
the average of six consecutive even integers is 31. What is the sum of the smallest plus the largest of the integers?
Answer: 11
Step-by-step
x+x+1+x+3+x+5+x+7+x+9= 31
smallest is one
largest is 10
Hope it helps :)
Nima can mow 18 yards in 6 days. Which strategy can be used to determine how many yards Nima can mow in 20 days?
Add the difference in the days to the number of yards.
Subtract the difference in the days from the number of yards.
Find the number of yards per day by division, and then multiply that quotient by the number of days.
Find the number of yards per day by division, and then divide that quotient by the number of days.
Answer:
the number of yards per day is 4
Step-by-step explanation:
because if you divide 6 with 18 you get 4 so theirs your answer
Answer:
C
Step-by-step explanation:
C
For every planet, no matter it’s period, or distance, period squared and distance cubed (equation p2d3 OR P*P/d*d*d) is the ________ NUMBER
A- differing
B-Same
C-smallest
D- Largest
Find the area of the right triangle.
Answer:
[tex] \frac{1}{2} \times 9 \times 6 = 27 \\[/tex]
You have to count the units then put the rule
[tex] \frac{1}{2} \times base \: \times hight[/tex]
the area is __ square units
some one help pleaseeeeeeeeeee
Answer:
hello i misss u hello love u
James is saving up to buy himself a new drum set that costs $1300. He has already saved $500 and his parents have agreed to pay for half of the total cost. He wants to save the rest of the money he needs over six months. If he saves the same amount each month, how much does he have to save each month? Round your answer to the nearest penny
Answer:
25$ Each month
Step-by-step explanation:
Half of 1300$ is 650$ so add the 500$ and then subtract is from 1300$ you get 150$ needed, so across 6 months he needs to raise 25$
Perform the indicated operation.
1 1/6 + 7 3/6 =
I HAVE 5 MINUTES!!!
Answer:
1 1/6 - 7 3/6 = -19/
3
= -6 1/
3
≅ -6.3333333
Step-by-step explanation:
Conversion a mixed number 1 1/
6
to a improper fraction: 1 1/6 = 1 1/
6
= 1 · 6 + 1/
6
= 6 + 1/
6
= 7/
6
To find new numerator:
a) Multiply the whole number 1 by the denominator 6. Whole number 1 equally 1 * 6/
6
= 6/
6
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 6.
One and one sixth is seven sixths
Conversion a mixed number 7 3/
6
to a improper fraction: 7 3/6 = 7 3/
6
= 7 · 6 + 3/
6
= 42 + 3/
6
= 45/
6
To find new numerator:
a) Multiply the whole number 7 by the denominator 6. Whole number 7 equally 7 * 6/
6
= 42/
6
b) Add the answer from previous step 42 to the numerator 3. New numerator is 42 + 3 = 45
c) Write a previous answer (new numerator 45) over the denominator 6.
Seven and three sixths is forty-five sixths
Subtract: 7/
6
- 45/
6
= 7 - 45/
6
= -38/
6
= 2 · -19/
2 · 3
= -19/
3
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 6) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 6 = 36. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven sixths minus forty-five sixths = minus nineteen thirds.
help pls!!!
find the area of the shaded region.
pls don’t send those links i don’t trust those.
Answer:
48 units
Step-by-step explanation:
Train A and Train B, weigh a total of 550 tons. Train A is heavier than Train B.
The difference of their weights is 372 tons, What is the weight of each train?
Answer:
A:372 B:178 (I think this is what you were asking :/...
Step-by-step explanation:
A+B=550
A>B
550-372=178
A:372 B:178
Answer:
Train A weighs 372 tons, while train B weighs 178 tons.
Kathy wants to buy a sweater with a price tag of $25 the store is having a 40% off sale on all clothing which expression represents the sale price of the sweater
Answer:
.60 x $25 = X
Step-by-step explanation:
there aren't any multiple choice for the expressions but this expression would give you the answer
60% or .60 times the original price of the item will give you the new price of the item
$15 is the new price of the item
Solve for x.
8x-132
5x+8
Which of the following statements about a rhombus is not true?
A rhombus is a parallelogram.
A rhombus has two sets of parallel sides.
A rhombus has four sides of equal length.
A rhombus has four right angles.
Given:
Consider a rhombus.
To find:
Which of the given statements about a rhombus is not true?
Solution:
Properties of a Rhombus:
1. It is a quadrilateral which is a special case of a parallelogram.
2. It has four equal sides.
3. It has two sets of parallel sides.
4. Opposite angles are equal.
5. Diagonals are perpendicular bisectors.
Since a rhombus doesn't has four right angles, therefore the last statement in the given options is not true about the rhombus.
Hence, the correct option is D.
help fasttttt please and no file please
Answer:
2 is the answer.
Hope it helps !!!
Answer:
x=2
Step-by-step explanation:
5x+2y = 16
8y = -x+26
5x+2y = 16
8y+x= 26
-19x = -38
x=2
The ratio of kittens to puppies in Mrs. Brown's pet store is 2 to 6. There are 48 puppies in the class. What is the total number of animals in Mrs. Brown's pet store?
Answer:222
Step-by-step explanation:
i jsut got
Answer:
64
Step-by-step explanation:
let no. of kittens = x
kittens:puppies
2 : 6
x : 48 puppies
(48 × 2) ÷ 6 = x
x = 16
16 + 48 = 64
answer: 64
9. Triangle CDE is transformed to create triangle C'D'E'. The coordinates of the pre-image and the image are shown below. C(-6, 8) D(-4,8) E(-5, 9) C'(-8, -6) D'(-8, -4) E'(-9,-5) Which describes the transformation?
A. Translation 2 units left and 14 units down
B. Rotation 180° clockwise
C. Reflection over the x-axis
D. Rotation 270° clockwise
Answer:
d
Step-by-step explanation:
can you help with this one it is hard
Answer:300
Step-by-step explanation: