Answer:
3b^2-22b-16
Step-by-step explanation:
3b^2-24b+2b-16=
3b^2-22b-16
Answer:
3b^2 -22b -16
Step-by-step explanation:
(3b+2)(b-8)
FOIL
first :3b*b = 3b^2
outer : 3b *-8 = -24b
inner: 2*b = 2b
last: 2*-8 = -16
Add them together
3b^2 -24b+2b -16
Combine like terms
3b^2 -22b -16
Robert mixed 113 liters of blue paint with 123 liters of red paint to make 3 liters of purple paint. To make a new batch of purple paint he used 2 liters of red paint. Using the same ratio, Robert should use Response area liters of blue paint .
Answer:
[tex]Blue =1\frac{3}{5}[/tex]
Step-by-step explanation:
Given
[tex]Blue = 1\frac{1}{3}[/tex]
[tex]Red = 1\frac{2}{3}[/tex]
Required
Determine the amount of blue paint when Red = 2
To do this, we make use of the following equivalent ratios
[tex]Ratio = Blue : Red[/tex]
When [tex]Blue = 1\frac{1}{3}[/tex] and [tex]Red = 1\frac{2}{3}[/tex]
[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
When Red = 2
[tex]Ratio = Blue : 2[/tex]
Equate both ratios
[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
Convert to division
[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]
Convert fractions to improper fraction
[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]
Make Blue the subject
[tex]Blue =\frac{4}{5}*2[/tex]
[tex]Blue =\frac{8}{5}[/tex]
[tex]Blue =1\frac{3}{5}[/tex]
If y = ab^x represents an exponential decay function, what are the possible values of b?
a b = 1
b b > 1
c b < 0
d 0 < b < 1
Answer:
d
Step-by-step explanation:
Find the distance between the points L(7, -1) and MC – 2, 4).
Answer:
The distance between the points
d = LM = 10.24
Step-by-step explanation:
Step(i):-
Given that the points are L ( 7,-1) and M (-2,4)
The distance formula
LM = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
Step(ii):-
[tex]LM= \sqrt{(-2-7)^{2} +(4-(-1) )^{2} }[/tex]
LM = [tex]\sqrt{(-9)^{2} +(5)^{2} }[/tex]
LM = √106
LM = 10.29
The distance between the points
d = LM = 10.24
Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages is 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?
Answer:
2h-2=92 and h-2=92-h.
Step-by-step explanation:
Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.
The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.
Combining like terms we would have the first correct choice, 2h-2=92.
Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.
The equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (x+2).
As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as,
[tex]x+(x+2)=92\\\\x+x+2=92\\\\2x+2=92[/tex]
Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.
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Help please, I need help understanding this. I'm in Geometry
Answer:
I believe you can set the equations equal to each other and solve for x.
Step-by-step explanation:
reason being is that by definition, a line can be infinite, so in theory, those 2 lines can be equal.
X+4b=72. If x=12, what’s the value of b?
Answer:
Step-by-step explanation:
12 + 4b = 72
Subtract 12 on both sides
4b = 60
b = 15
Which of the following pairs of triangles can be proven congruent through SAS?
Answer: A
Step-by-step explanation: both triangle have a congruent side, angle, and second side
Jorge has some dimes and quarters. He has 10 more dimes than quarters and the collection of coins is worth $2.40. How many dimes and quarters does Jorge have?
Answer:
14 dimes and 4 quarters
Step-by-step explanation:
x= number of dimes
y=number of quarters
x-10=y
0.10x+0.25y=2.40
substitute for y
0.10x+0.25(x-10)=2.40
0.35x-2.50=2.40
0.35x=4.90
x=14
y=4
Can you explain to me how to solve this?
What is a multiple of 1/7 I need a answer quickly. its due tonight please help
Answer:
2/7
Step-by-step explanation:
Hope that helps! (Brainliest please!)
When playing Yahtzee, I can roll 1 die and I need to roll a 2. What are my chances?
Answer:
Step-by-step explanation:
There are five dice, so whatever the first die rolls there is a 1/6 chance that the second die is the same number. If that occurs, there's a 1/6 chance that the third die is the same, ditto the fourth and the fifth. So probability of Yahztee in one roll is 1/6 x 1/6 x 1/6 x 1/6 = 1/1296.
Answer:
A 60% chance
Step-by-step explanation:
hi how do i do this please
Answer:
160
Step-by-step explanation:
Rectangle = 10x15=150
Triangle = 1/2x5x4=10
150+10=160
Step-by-step explanation:
Area of rectangle = width × length
= 10 × 15 = 150 cm²
The height of triangle = 14 - 10 = 4 cm
Area of triangle = 1/2 × base × perpendicular height
= 1/2 × 5 × 4
= 10 cm²
Area of this figure = area of rectangle + area of triangle
= 150 + 10 = 160 cm²
-2(x+1)-x+5 what do you think it is
Answer:
The answer is -3x + 3
What is the probability of drawing an even numbered card from a standard deck of shuffled cards?
A) 20/52
B) 25/52
C) 30/52
D) 35/52
Answer:
Prob = 20/52
Step-by-step explanation:
There are 5 even number cards per suit: 2, 4, 6, 8, and 10.
and there are 4 suits in a deck, so the total of the even number card events is 5 * 4 = 20
Given that the deck has 52 cards total, then the probability of drawing an even numbered card is the number of successes (20) divided the number of total cards (52) This gives:
Prob = 20/52
which agrees with answer A) in your list.
one of the root of the quadratic equation dx²-cx+p=0 is twice other. find the relationship between d, c, and p
please help...I don't understand atall
Answer:
The relationship between d, c and p is that [tex]p = \frac{4c^2}{9d}[/tex]
Step-by-step explanation:
Roots of a quadratic equation:
The roots [tex]r_1[/tex] and [tex]r_2[/tex] of a quadratic equation in the following format:
[tex]ax^2 + bx + c = 0[/tex]
Can be given by:
[tex]r_1 + r_2 = -\frac{b}{a}[/tex]
[tex]r_1r_2 = \frac{c}{a}[/tex]
In this question:
We have the following quadratic equation:
[tex]dx^2 - cx + p = 0[/tex]
So [tex]a = d, b = -c, c = p[/tex]
One of the roots is twice the other:
So [tex]r_2 = 2r_1[/tex]
First relation:
[tex]r_1 + r_2 = -\frac{b}{a}[/tex]
[tex]r_1 + 2r_1 = -\frac{(-c)}{d}[/tex]
[tex]3r_1 = \frac{c}{d}[/tex]
[tex]r_1 = \frac{c}{3d}[/tex]
Second relation:
[tex]r_1r_2 = \frac{c}{a}[/tex]
[tex]r_1*2r_1 = \frac{p}{d}[/tex]
[tex]2r_{1}^{2} = \frac{p}{d}[/tex]
[tex](\frac{2c}{3d})^2 = \frac{p}{d}[/tex]
[tex]\frac{4c^2}{9d^2} = \frac{p}{d}[/tex]
[tex]p = \frac{4c^2}{9d}[/tex]
The relationship between d, c and p is that [tex]p = \frac{4c^2}{9d}[/tex]
From a board 8 feet in length, Emmet cut two 2 ⅓ foot bookshelves. How much of the board remained?
Answer:
3 2/5
I converted these into decimals, because I find it easier ^.^
We have an 8 feet board, and we twice remove 2 1/3 from that number.
8 - 2 1/3 = 5.7
5.7 - 2 1/3 = 3.4 or 3 2/5
~Hope this helps~
At a farmers' market. Karen and Alice each bought some bread that cost $2 per loaf. Then Karen spent $3 to purchase other items, while Alice spent $1. Could the girls have bought the same number of loaves of bread and spent the same total amount?
1. Let x represent the number of loaves of bread. Fill in the boxes to write a system of equations for the total amounts spent.
Karen: y = x +
Alice: y = x +
2. What are the slopes of the lines represented by the equations?
3. What are the y-intercepts of the lines represented by the equations?
4. Do the lines intersect?
5. How many solutions are there to this system of equations?
math6. Can Karen and Alice have bought the same number of loaves of bread and spent the same total amount?
Answer:
(1)
Karen: [tex]y = 2x +3[/tex]
Alice: [tex]y = 2x +1[/tex]
(2): Slope is 2
(3) y intercept
[tex]b = 3[/tex] --- For Karen
[tex]b = 1[/tex] --- For Alice
(4) They do not intersect
(5) No solution
(6) No
Step-by-step explanation:
Given
[tex]x = loaves[/tex]
[tex]y = amount[/tex]
Solving (1): Complete the equation.
For Karen:
[tex]m = 2[/tex] --- the rate
[tex]b = 3[/tex] --- additional spendings
For Alice:
[tex]m = 2[/tex] --- the rate
[tex]b = 1[/tex] --- additional spendings
The general equation is;
[tex]y = mx +b[/tex]
For Karen, it becomes
[tex]y = 2x +3[/tex]
For Alice, it is:
[tex]y = 2x +1[/tex]
(2): The slopes.
In (1), we have:
[tex]m = 2[/tex] --- the rate (for both Karen and Alice).
This rate implies the slope.
Hence, the slope is 2
(3): The y intercept.
The additional spendings in (1) means the y intercept.
So, we have:
[tex]b = 3[/tex] --- For Karen
[tex]b = 1[/tex] --- For Alice
(4) Because they have the same slope, they do not intersect
(5) Number of solutions.
[tex]y = 2x +3[/tex]
[tex]y = 2x +1[/tex]
Subtract both equations
[tex]y-y = 2x-2x +3-1[/tex]
[tex]0 = 2[/tex]
This means there is no solution
(6) Can they spend the same amount on the same number of loaves
In (5), the equations have no solution
Hence, it is not possible to spend the same amount for the same number of loaves
Find the area. Simplify your answer.
2x
3x
Answer:
We know,
Area of triangle = 1/2 * b * h
= 1/2 * 2x * 3x
= 1/2 * 6x
= 3x
Hope it helped
All the best !!
The area of the given triangle is 3x².
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given a triangle.
Area of a triangle can be found using the formula,
Area = [tex]\frac{1}{2}[/tex] × base × height
Given,
Base = 3x and height = 2x
So using the formula,
Area = [tex]\frac{1}{2}[/tex] × 3x × 2x
= 3x × x
= 3x²
Hence the area of the triangle is 3x².
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00 DKW wu
6. Jackson made a poster in the shape of a quadrilateral. Each pair of opposite sides of the poster (1 point)
are congruent, and parallel and all angles are congruent. Which of the following names best
describes the shape of Jackson's poster?
O parallelogram
Orhombus
O rectangle
O trapezoid
Rectangle
Just finished the post test right now.
If you invest $5,000 into an account paying 6% interest compounded
continuously, how many years will it take until there is $8,000 in the account?
6.83 years
7.83 years
8.67 years
9.67 years
Answer: 7.83 years
:)))
Can you guys help me with these unit rates
Answer:
2. 38
3. 12
5. 7
9. 13
What is 18 % of 120?
O 2. 160
O 666
0 21.6
0 15
Multiply 120 by 18%
Change 18% to a decimal: 0.18
120 x 0.18 = 21.6
Answer: 21.6
suppose that ln2=a and ln3=b. use properties of logarithms to write the logarithm in terms of a and b.
question: ln 7 square root of 6 =?
Answer:
1/5(a+b)
Step-by-step explanation:
6y + 25 = 79
can you please help?
Answer:
y=9
Step-by-step explanation:
6y=79-25
= 6y= 54
= y=54/6
= y= 9
Ex. What is the theoretical probability of rolling 5 or higher on a six sided die?
Which of the following statements about this function's domain is true?
A.) Domain: 0≤x≤16 and 0
The domain represents all of the values that were measured in this problem.
B.) Domain: 0≤y≤16
The domain represents the set of all possible inputs - the times when depth was measured.
C.) Domain: 0
The domain represents the set of all possible outputs - the various depths of the pool.
D.) Domain: 0≤x≤16
The domain represents the set of all possible inputs - the times when depth was measured.
Answer:
D.) Domain: 0≤x≤16
The domain represents the set of all possible inputs - the times when depth was measured
Step-by-step explanation:
Domain of a function is the possible set of inputs which are usually plotted on the x-axis, while range are corresponding outputs plotted on the y-axis.
In this case, the domain is the set of all possible inputs (x-values), which represents the times the depth was measured.
Domain ranges from 0 to 16. Thus:
Domain: 0 ≤ x ≤ 16
Would this be infinite solutions or no solution?
The radius of a sphere is 18 feet. What is the surface area of the sphere? Express the answer in terms of pi. Recall the formula SA = 4pi 2
Answer: 1296π
Step-by-step explanation:
To find the surface are if a square, we have to use the formula:
= 4πr²
= 4 × π × 18²
= 4 × π × 324
= 1296π
Therefore, the surface area of the sphere is 1296π
Answer:
C
Step-by-step explanation:
I did the test right
I WILL GIVE BRAINLIEST BUT HELP ME ON THIS ONE PLEASE
Answer:
th correct center is in B
can someone help me ?!
Answer:
Gavin is incorrect. Divide 1/3 by 4, or multiply by 1/4. each friend gets 1/12 of the cake
Step-by-step explanation: