please help ;(
john is j years old. the product of his younger brother’s and older sister’s ages is j^2-2j-15. how old are john’s brother and sister is terms of john’s age?
Answers
Answer:
[tex](j-5)(j+3)[/tex]
Step-by-step explanation:
[tex]j^2-2j-15=(j-5)(j+3)[/tex]
The age of John’s brother is j-5 and the age of John’s sister is j+3.
Given that, John is j years old. The product of his younger brother's and older sister's age is j²-2j-15.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The solution for j²-2j-15 is as follows
j²-2j-15
⇒ j²-5j+3j-15
⇒ j(j-5)+3(j-5)
⇒ (j-5)(j+3)
Therefore, the age of John’s brother is j-5 and the age of John’s sister is j+3.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ5
Related Questions
Express the ratio below in its
simplest form.
18:3:9
Answers
Answer:
6:1:3
Step-by-step explanation:
Rasu made some chocolate milk. She added 3 tsp. Of cocoa mix with 2 cups of milk. Farah also made some chocolate milk. She added 5 tsp. Of cocoa mix to 3 cups of milk. Which mixture is more chocolatey flavored (stronger chocolate flavor)? Explain your reasoning.
Answers
The correct answer is Farah's mixture
Explanation:
In this situation, how strong chocolate flavor is in the mix depends on the ratio of ingredients as more cocoa leads to a stronger chocolate flavor.
Rasu:
Her ratio was 3 teaspoons of cocoa mix and 2 cups of milk. This can be expressed as 3:2 or [tex]\frac{3}{2}[/tex]. Also, this can be simplified by dividing the amount of cocoa into the amount of milk 3 ÷ 2 = 1.5. This means for each cup of milk Rasu added 1.5 teaspoons of cocoa.
Farah:
The ratio was 5 teaspoons of cocoa mix and 3 cups of milk. So, the ratio is 5 : 3 or [tex]\frac{5}{3}[/tex], which is equal to 1.6. This implies for each cup of milk Farah added 1.6 teaspoons of cocoa. This ratio of cocoa vs milk is higher in Farah, which means he added more cocoa, and her mix would have a stronger chocolate flavor.
Write in slope-intercept form with the given information. Show all work. Passes through (-8,3) with a slope of -2
Answers
Answer:
y=-2x-13
Step-by-step explanation:
y=mx+b
3=-2(-8)+b
3=16+b
3-16=b
-13=b
Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1).
a line labeled g of x that passes through points 0, negative 2 and 1, 2
a line labeled g of x that passes through points 0, negative 3 and 1, 1
a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
a line labeled g of x that passes through points 0, negative 1 and 1, 3
Answers
9514 1404 393
Answer:
a line labeled g of x that passes through points (-1, -2) and (0, 2)
Step-by-step explanation:
We can find the function g(x) to be ...
g(x) = f(x+1) = 4(x+1) -2
g(x) = 4x +2
This tells us the y-intercept is (0, 2), so the only viable answer choice is ...
a line labeled g of x that passes through points (-1, -2) and (0, 2)
Answer:
Your answer would be C:]
Step-by-step explanation:
Answer ASAP, Find the quadratic equations whose roots are ½ and -5/2
Answers
Answer:
4x^2+8x-5
Step-by-step explanation:
You work backwards to get (2x-1) which gets you the root 1/2 and (2x+5) which gets you the root -5/2 after this you foil what you have so (2x-1) times (2x+5). You do 2x times 2x which gives you 4x^2 2x times 5 which gives you 10x -1 times 2x which gives -2x and lastly -1 times 5 which gives you -5 now you combine like terms and get your final answer of 4x^2+8x-5
what is 5 groups of 3
Answers
Answer:
That is like 3x5 which is 15
Step-by-step explanation:
I have attached a screenshot
Answers
Answer:
Step-by-step explanation:
x2 + 2x - 7 + 11x2 - 5x - 1
Solving like terms
12x2 - 3x - 8
WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!!! 1×6 square unit rectangular grid has to be covered with six 1×1 square unit tiles. Three of the tiles are yellow, two are white, and one is blue. In how many ways can this task be done if:
a) there are no restrictions
b) no neighbouring tiles should be the same colour
c) at least one pair of neighboring tiles are the same color
Answers
Answer:Well the first one is 60
Step-by-step explanation:6!/3!2!=60 thats all i got
Answer:
60 for the first one
Step-by-step explanation:
A state lottery randomly chooses 8 balls numbered from 1 through 37 without replacement. You choose 8 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possible values of the random variable x.
Answers
Answer: No, the experiment is not binomial
Step-by-step explanation:
From the formula for a binomial distribution :
nCx * p^k * q^(n - x)
n = number of trials (fixed)
x = number of success on trial
p = probability of success (which is the same for each trial).
q = (1 - p) = probability of failure (same for each trial)
Binomial experiment have binary outcome ; Either Success or Failure
The experiment described above :
Number of trials is satisfied (8 picks)
Binary outcome (matches on ticket or match does not exist).
zia can make 12 batches of cookies in 6 hours. How long does it take her to make 2 batches of cookies? Show (visual representation) or explain (explanation using academic vocabulary) your reasoning.
Answers
Answer:
1hour
Step-by-step explanation:
1 hour because twelve divided by 6 is 2
how do you add two areas together
Answers
Answer:
You would just add them like normal
Step-by-step explanation:
f (x) = -43 +7
Using the function above, evaluate f (-2).
Answers
Explanation:
If you substitute in -2 for x the equation would read, f=-4(-2)+7..... therefore you multiply and add and you would get 13
If QR = 2x, RS = x + 7, and QS = 16, what is QR?
2x
R
x + 7
S
16
Answers
Answer: QR = 6 units
Step-by-step explanation:
QR + RS = QS
2x + x + 7 = 16
3x = 9
x = 3
QR = 2x = 2*3 = 6
what is the product of (-0.5)(-1.2)(-5.22)?
0. -9.8
0. -3.132
0. 3.132
0. 9.8
Answers
Answer:
The answer is B or -3.132
Step-by-step explanation:
You are multiplying 2 negatives and a positive, so it guarantees it will be negative! Hope this helps!
Write an equation in slope-intercept form if the y-intercept is (0, -4) and the slope is 6?
Answers
Answer:
y=6x-4
Step-by-step explanation:
for the y=mx+b format your m is the slope which is 6 and the b is the y intercept which is the 4
What is the value for y
When x=20
Y=-2x+8
Answers
Answer:
y = -32
Step-by-step explanation:
Y=-2x+8
Let x= 20
y = -2 * 20 +8
y = -40+8
= -32
The midpoint of \overline{\text{AB}}
AB
is M(-5, -2)M(−5,−2). If the coordinates of AA are (-3, 4)(−3,4), what are the coordinates of BB?
Answers
Answer:
The coordinates of b are: B=(-7,-8)
Step-by-step explanation:
We are given the coordinates of the midpoint of [tex]\overline{\text{AB}}[/tex] as M=(-5,-2).
We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.
Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:
[tex]\displaystyle x_m=\frac{x_a+x_b}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_a+y_b}{2}[/tex]
We know xa=-3 and xm=-5. Solve the first equation for xb:
[tex]2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a[/tex]
Substituting:
[tex]x_b=2\cdot (-5)-(-3)=-10+3[/tex]
[tex]x_b=-7[/tex]
We can solve the second equation for xb and get:
[tex]y_b=2y_m-y_a[/tex]
Since ya=4 and ym=-2, then:
[tex]y_b=2\cdot (-2)-(4)=-4-4[/tex]
[tex]y_b=-8[/tex]
Thus, the coordinates of b are: B=(-7,-8)
Suppose the equation of line t is y=x
Answers
Answer:
Hi
Step-by-step explanation:
if i won 10 games out of 16, how many games would i need to paly to win 50
Answers
Answer:
19
Step-by-step explanation:
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When i did that sort of thing i had a trick. But you are correct.
simplify the expression 6(x+4)+1=
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You start at (-2, 2). You move up 1 unit and left 3 units. Where do you end?
Answers
Answer:
(-5, 3)
Step-by-step explanation:
Moving up one will give you (-2, 3) and moving left three brings you to (-5, 3).
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Answers
Answer:
41 and then 24 i belive
Step-by-step explanation:
What is the length of c on the graph below?
6
10
8
14
Answers
Answer:
10 is the answer to the question
In order to solve for the variable in the equation 1 minus (x + 2) + 2 x = 5 (2 x minus 5) minus x, Mikel first applies the distributive property. Which equation is a result of this step? 1 minus x + 2 + 2 x = 10 x minus 5 minus x 1 minus x minus 2 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 5 minus x
Answers
Answer:
1-x-2+2x = 10x-25-x
Step-by-step explanation:
The given equation is as follows :
1-(x+2)+2x=5(2x-5)-x
We need to solve the above equation.
Firstly opening bracket off LHS and applying distributive property at RHS.
1-x-2+2x=5(2x)-5(5)-x (Distributive property :a(b+c) = ab+ac)
1-x-2+2x = 10x-25-x
So, the correct option is (B) i.e. 1 minus x minus 2 + 2 x = 10 x minus 25 minus x.
Answer:
It's b
Step-by-step explanation:
I got it right on edge
pls respond ... 30 points :)
Answers
Answer:
B, 2x^2 - 4x + 8
Step-by-step explanation:
Given an area of 4x^2 - 8x + 16, and a length of 2, we can use the area formula of length, and width to find the area:
Length × Width = Area
Given these values, rearrange the formula to find the width:
Width = Area / Length
Then just substitute the values, and
simplify the expression:
Width = (4x^2 - 8x + 16) / 2
Width = 2x^2 - 4x + 8
Answer:
I think its B but dont keep my word as facts thats just what i think hope this helps even a little
Step-by-step explanation:
What is 2/3 as a decimal
Answers
Answer:
0.66 or 0.67 rounded
Step-by-step explanation:
2/3=
0.66
Answer:
0.6 or 0.666666666666666666666
Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes (m) that it will take to fill the pool?
-10m + 200 = 60
50m +200 = 60
-10m + 140 = 60
-50m +140=60
Answers
Answer:
M/140 = 50/60
Step-by-step explanation:
Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140
the ratio is 50 per 60
Can y’all please help me with my question??
Answers
Answer:
p
Step-by-step explanation:
Can y’all please help me with my question??
DO NOT ANSWER IF YOU DO NOT KNOW, Will give brainliest, like, comment, and 5 points to answer
Each of these is a pair of equivalent ratios, for each pair explain why they are equivalent. 5:1 and 15:3
10.2 and 25.5
198:1,287 and 2:13
Answers
Step-by-step explanation:
5:1 and 15:3 is equivalent because 5 ⋅ 3 = 15, and 1 ⋅ 3 = 3.
10.2 ⋅ 2.5 = 2.5.5 (This wasn't put into a ratio form.)
198:1,287 and 2:13 are equivalent because 198/99 = 2, and 1,287/99 = 13.