4x=13
Step-by-step
add 3 to both sides making 10=13
4x=13
NO LINKS!!! Please help me with this graph problem
Answer + Step-by-step explanation:
let x be the age of Kevin
y be the age of his mother
a) We can convert the statement “the sum of their ages is 61” into the equation: x + y = 61
b) the coordinates of the intersection point are (15 , 46)
Interpretation:
The age of Kevin is 15
The age of Kevin’s mother is 46
Step-by-step explanation:
Let,
x = Kevin's agey = Kevin's mother's ageGiven that,
Kevin's age + Mother's age = 61
x + y = 61 [tex]\rightarrow[/tex] required equation for a)
[tex]\rule{150pt}{2pt}[/tex]
Now, we have two equations.
y - 3x = 1 -------(1)
y + x = 61 --------(2)
On solving them (using the substitution method),
[tex]\left. \begin{cases} { y-3x = 1 } \\ { y+x=61 } \end{cases} \right.[/tex]
Take ----(1)
[tex]y-3x=1 \\y=3x+1[/tex]
Now, substitute the value of y in ----(2)
[tex]y + x = 61\\3x+1+x=61 \\4x+1=61 \\4x=60 \\x = 15[/tex]
Substitute the value of x in -----(1),
[tex]y=3\times 15+1 \\y= 45+1\\y = 46[/tex]
So,
[tex]\boxed{\bf\:x = 15, \:y = 46}[/tex]
Now, by graphing them (see the attachment), the point of intersection is O (15, 46). Hence, from this we can infer that, Kevin is 15 years old while his mother is 46 years old. [tex]\rightarrow[/tex] answer for b)
[tex]\rule{150pt}{2pt}[/tex]
A function f is odd and f(x)=x^2 for all x>0. Sketch the graph of of this function and then write the rule of the function as a single formula
Pls solve I put 77 points ito this
The odd function is:
f(x) = sgn(x)*x^2
And the graph can be seen at the end.
How to get the formula of the function?
An odd function has the property:
f(-x) = -f(x).
In this case, for x > 0 we have:
f(x) = x^2
Notice that if we evaluate that in a negative number, we get:
f(-2) = (-2)^2 = 2^2 = f(2)
So, this is actually even.
To transform it into an odd function, we can multiply it by the sign function:
f(x) = sgn(x)*x^2
Now, when x is negative, the outcome will be negative, so the function is odd. The graph can be seen below.
If you want to learn more about odd functions:
https://brainly.com/question/2284364
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Mia's new puppy weighed 3 1/5 pounds
at 4 weeks old. At 16 weeks old, the
puppy weighed 9 1/7 pounds. By what
factor did the puppy's weight increase
during that period?
Answer:By a factor of 2 6/7.
Step-by-step explanation:
That would be 9 1/7 divided by 3 1/5
= 64/7 / 16/5 Invert the dividing fraction:
= 64/7 * 5/16
= 4/7 * 5
= 20/7
= 2 6/7.
Step-by-step explanation:
Click to see image, giving brainlyest and thanks
Answer:
400 visitors were there for 65 and over
Step-by-step explanation:
20÷100×2000
20÷100=0.2
0.2×2000=200
hope it will help you
Enter the value of x that makes the equation 3(3x+4)=12x-15 true
Answer:
3x=27
Step-by-step explanation:
3(3x+4)=12x-15
9x+12=12x-15
-9x -9x
___________
12=3x-15
+15 +15
_________
27=3x
3x=27
Answer:
9
Step-by-step explanation:
3(3x+4)=12x-15
or,3x+4=3(4x-5)/3
or,3x+4=4x-5
or,4+5=4x-3x
or,9=x
.:x=9
Hence,
x=9
Determine whether each relation is a function.
Answer:
no
Step-by-step explanation:
no
one input (x) has 2 outputs (y)
the input 2 has 2 outputs 1 and 4
this does not pass the vertical line test
therefore it is not a function
Which equation does NOT represent a linear function? A. y = 5 B. 4 y = 2 x − 8 C. y = x + 2 x 2 D. y = − 2 3 x − 1
Please help and explain this to me!! I am confused and would like to know how to solve!!
Answer:
13. C) The sum of the numerators is incorrect.
14. B) [tex]-\frac{5}{8}+\frac{1}{8}=\frac{-5+1}{8}=\frac{-4}{8} =-\frac{1}{2}[/tex]
Step-by-step explanation:
13. The reason why it's incorrect.
When dealing with the sum of fractions, denominators must be the same. So allows us to do the sum of the numerator. The image displayed is the incorrect sum of the numerator.
14. [tex]-\frac{5}{8}+\frac{1}{8}=\frac{-5+1}{8}=\frac{-4}{8} =-\frac{1}{2}[/tex]
6) Molly invests $7,747 in a retirement
account with a fixed annual interest rate
compounded 2 times per year. After 16
years, the balance reaches $31,685.08.
What is the interest rate of the account?
Answer:
R = 9% per year
Step-by-step explanation:
Create an equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V.
The equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V is H = 2V + 3.
How to compute the equation?Your information is incomplete. Therefore, an overview will be given.
Let's assume that the value of the horizontal length is 3 plus twice the value of the the vertical length. This will be:
H = (2 × V) + 3
H = 2V + 3
In conclusion, the equation is H = 2V + 3.
Learn more about equations on:
https://brainly.com/question/2972832
Please help and explain this to me!! I am confused and would like to know how to solve!!
Answer:
The sum of the numerators is incorrect.
The one where -1/2 is the final answer.
Step-by-step explanation:
-5/8 + 1/8 does equal (-5 + 1)/8. However, -5 + 1 is not equal to -6. It is equal to -4. -4/8 would simplify down to -1/2, which is the correct answer.
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
The highest mark in the Science test was 74. Three students scored 49 which was five marks higher than the lowest score. What was the range of scores?
Answer:
25
Step-by-step explanation:
you subtract the highest number
Answer:
The "range" of a set of numbers is just the difference between the biggest number and the smallest number. (The maximum "far-apart-ness" of the scores).
Hope this helps you!!
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Find the standard equation of the circle with center (5, -3
and with a point on the circle (-3,3)
Answer:
○ C
Explanation:
Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:
Pythagorean Theorem
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = r^2 \hookrightarrow 36 + 64 = r^2 \hookrightarrow \sqrt{100} = \sqrt{r^2} \\ \\ \boxed{10 = r}[/tex]
Sinse we are dealing with length, we only desire the NON-NEGATIVE root.
Distanse Equation
[tex] \displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-5 - 3]^2 + [3 + 3]^2} = r \hookrightarrow \sqrt{[-8]^2 + 6^2} = r \hookrightarrow \sqrt{64 + 36} = r; \sqrt{100} = r \\ \\ \boxed{10 = r}[/tex]
Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.
I am joyous to assist you at any time.
Is this the graph of a function?
Answer:
function
Step-by-step explanation:
this graph is a function.
why?
if we draw a vertical line on all points of the function we can see that it only intersects ONCE. Therefore, it's a function. if it intersects more than once then it will not be a function
Write an equation in slope-intercept form of the line shown.
An equation is
Answer:
y = -x - 4
hope this helped :)
Which term describes the set of all possible outcomes for a probability event? A. Sample space B. Empirical probability C. Elements OD. Likelihood
Answer:
Sample Space
Step-by-step explanation:
4+10(5-3) = 4 +62 is what?
O 18
O 42
O 21
O45
Hey there!
4 + 10(5 - 3) = 4 + 62
4 + 10(5) + 10(-3) = 4 + 62
4 + 50 - 30 = 4 + 62
54 - 30 = 4 + 62
24 = 4 + 62
24 = 66
24 ≠ 66
OR
4 + 10(5 - 3) = 4 + 62
4 + 10(2) = 4 + 62
4 + 20 = 4 + 62
24 = 4 + 62
24 = 66
24 ≠ 66
Thus, this statement is FALSE because both of your numbers aren’t equivalent to each other.
But, let’s try this method
4 + 10(5 - 3) = 4 + 62
4 + 10(2) = 4 + 62
4 + 20 = 4 + 62
24 = 66
24 ≠ 66
66 - 24 = 42
Thus, if this is what your question is asking it would be: Option B. 42
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Consider the following expression
5(7a+2)(1+6)
Select all of the true statements below.
Answer:
a and d are both true. The rest are not.
Step-by-step explanation:
1 and 6 are like terms. They are both integers. They can be combined. This statement is true.
7 is a numerical coefficent. This statement is true.
===========================================
The others are all false for one reason or another
b is false. The factor is made up of 2 terms not 3. 7a is one term.
c is false. "a" is a variable. So the whole term can be anything.
e is false. 7a + 2 is a factor
f is false. There are two true statements.
A married couple and their 4 children buy tickets to a ball game. The tickets cost 25 dollars api but each of their children gets a 20 percent discount. How much, in dollars, must the family pay for A tickets?
SOLVE PLSSS I GIVE POINTS
Answer:
3421.19 mm²
Step-by-step explanation:
The area equation is πr²
So then you'd plug in 33 as your r because that's your radius and youd get the equation: π×33²
Which is ≈ 3421.19 mm²
Nakeisha's family took a road trip to Mount Rushmore. Nakeisha fell asleep 18% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Nakeisha fell asleep?
Answer:
72 miles ....then she snored off
Step-by-step explanation:
18 % of 400 = .18 * 400 = 72 miles
A triangle has angle measurements of 63°, 38°, and 79°. What kind of triangle is it?
BRAINLIEST +STARS FIRST RIGHT ANSWER!!
In a house, there is a vase in the shape of a cylinder. The cylinder has a diameter of 12 inches and a height of h inches.
Which equation can be used to find V, the volume of the cylinder in cubic inches?
V= π 6²h
V = π(6h)²
V = π 12²h
V = π(12h)²
Answer:
V = π 12²h because i dont know where 6² came from.
just go with either 3 or 4.
*90 points* Pls help and give full responses pls!! Look at the graph in the pic.
A. Compare the distances relative to Columbus from which the trains begin their trip.
B. Tom claims both trains traveled at the same speed over a certain interval. Sara claims that both trains traveled at different speeds the entire time. Justify which claim is correct.
Type your answer in the space provided.
Answer:
A. Train A begins 1800 miles from Columbus while train B begins 1200 miles from Columbus
B. Train A travels at a constant rate because its graph is a linear equation. Train B does not move until 1pm, when it starts moving towards Columbus at the same speed as train A. I know that trains are traveling at the same speed at a certain interval because they have the same slope at that interval. Because the train was moving at the same speed as train A over a certain interval, Tom is correct.
Step-by-step explanation:
Worth 100 points if answered: 2 PARTS!
Answer: The answer is 18 bread pieces
Step-by-step explanation:
SECOND ONE he will need 9 loafs of bread because 108 divided by 12 equals 9 so he will ned 9 loafs
A car is purchased for 1200. Each year it loses 25% of its value. After how many years will the car be worth 2800 or less?
Answer:
5.06 years
Step-by-step explanation:
It is already worth less than 2800
perhaps you meant the purchase price was 12 000
2800 = 12 000 ( .75)^n
n = 5.06 years it will = 2800
Lester bought 4.83 pounds of bologna at the deli. Renee bought 2.3 pounds
of bologna. How many times more bologna did Lester buy than Renee?
Answer:
i think it is 2.1
If kaemi Had 67^2 amount of apples divided by 87% of 93 and subtract that by 1/2=K
Then what does K+98^54-89=d
D=what
Answer:
D=76^3
Step-by-step explanation:
We have to just simplify the equation then do the addition/subtraction.
One positive integer is 5 less than another. The
product of the two integers is 14. What are the
integers?
Answer:
one is 2 and another is 7
Step-by-step explanation:
let n be the positive integer and n' be the greater integer.
Given condition
n+5=n' ......eqn i
n×n'=14
n(n+5)=14. [from equation i]
n²+5n-14=0
n²+7n-2n-14=0
(n-2)(n+7)=0
either. or
n=2. n=-7(impossible)
therefore n=2 and hence n'=n+5=7.