I'm assuming problem 6 is the graph on the right.
If so, then the slope is 1/2
Start at a point like (0,-1) which is the y intercept. Move up 1 and to the right 2 to arrive at (2,0) which is the x intercept.
The movement pattern "up 1, right 2" determines the slope directly
slope = rise/run = 1/2
rise = 1 = go up 1
run = 2 = go to the right 2
------------------------------
You could also pick two points from the blue line, then use the slope formula. If we picked (0,-1) and (2,0), then
m = (y2-y1)/(x2-x1)
m = (0-(-1))/(2-0)
m = (0+1)/(2-0)
m = 1/2
Mike received 79 dollars and 9 movie tickets for his birthday. He went to
a sporting goods store and bought a baseball glove, baseball, and bat. He had
22 dollars left over, how much did he spent on the baseball gear?
Answer:
57
Step-by-step explanation:
79-22=57
AB←→is reflected to form A'B'←→−.
The coordinates of point A are (0, 2) and the coordinates of point B are (2, 5).
Which reflection results in the transformation of AB←→ to A'B'←→−?
reflection across the x-axis.
reflection across the y-axis
reflection across y = x.
reflection across y=−x.
Answer: reflection across y = x
Step-by-step explanation:
Answer:
Rotation of 180°
Step-by-step explanation:
Carmen sold 70 homemade lollipops. The price of each lollipop was $0.35. No sales tax was charged. Of the lollipops sold, 5/7 were grape. How much money did Carmen earn from the sale of the grape lollipops
Answer:
$17.50
Step-by-step explanation:
5/7 = 50/70
this means that 50 of the 70 lollipops were grape
0.35*50 = money earned from grape lollipops.
0.35*50 = 17.50
this means that Carmen earned $17.50 from the sale of the grape lollipops.
Hope this helps!
ALL THE WAYS THIS CAN BE NAMED DONT GUESS TY
Answer:
Step-by-step explanation:
∠A - Angle can also be named by the vertex holding the angle.
∠TAR
∠RAT
pleaase help meeeeee
³√125
Answer:
5
Step-by-step explanation:
hope this helps!
what is the value of h
h= 28°
(Vertically opposite angles are equal)
Step-by-step explanation:
Let [tex] f \ : \ \mathbb{R}\to \mathbb{R} [/tex] be a continuous function which satisfies ,
[tex]\implies \sf f(x) = \displaystyle \int_0^x f(t) dt . [/tex]
Then the value of [tex] f(ln \ 5)[/tex] is ?
=====================================================
Explanation:
According to the Fundamental Theorem of Calculus, we can say
[tex]\displaystyle f(x) = \int_{0}^{x} f(t)dt\\\\\\\displaystyle f'(x) = \frac{d}{dx}\int_{0}^{x} f(t)dt\\\\\\\displaystyle f'(x) = f(x)\\\\[/tex]
Then think about a function in which its derivative is itself. The first thing that should come to mind is the exponential function [tex]f(x) = e^x[/tex]. There aren't any other functions that fit the description. The proof of this is lengthy and involves ODE (ordinary differential equations), so I'm not sure how far along in your calculus class you are.
Anyways,
[tex]f(x) = e^x\\\\\\f(\ln(5)) = e^{\ln(5)}\\\\\\f(\ln(5)) = 5\\\\\\[/tex]
The exponential base 'e' cancels out with the natural log.
We are given with a function and a condition of the respective function too, consider the given what we have ;
[tex]{:\implies \quad \displaystyle \sf f(x)=\int_{0}^{x}f(t)\: dt}[/tex]
By using the variable changing property we can change the Integrand and it will yield ;
[tex]{:\implies \quad \displaystyle \sf f(x)=\int_{0}^{x}f(x)\: dx}[/tex]
Now , let assume that
[tex]{:\implies \quad \displaystyle \sf \int f(x)dx=F(x)}[/tex]
Now, differentiating both sides wr.t.x (using Newton - Leibnitz's rule for Differentiating a function under the integral sign)
[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\bigg\{F(x)\bigg|_{0}^{x}\bigg\}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\{F(x)\}-\dfrac{d}{dx}\{F(0)\}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\{F(x)\}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=f(x)}[/tex]
So now, we have a function whose derivative is equal to the respective function, now if you differentiate both sides again you will get [tex]{\bf{f^{\prime \prime}(x)=f^{\prime}(x)}}[/tex] and similarly you can get [tex]{\bf{f^{n}(x)=f^{n-1}(x)}}[/tex] . And their is only one function which satisfies this condition for f(x) defined from [tex]{\mathbb{R}}[/tex] to [tex]{\mathbb{R}}[/tex] i.e the exponential function, you just can prove this fact easily by using the Maclaurin's series, so we now arrived on the conclusion that [tex]{\bf{f(x)=e^x}}[/tex] , so now [tex]{\bf{f\{ln(5)\}}}[/tex] will be [tex]{\bf{e^{ln(5)}}}[/tex] i.e hence on simplifying [tex]{\bf{f\{ln(5)\}=\boxed{\bf 5}}}[/tex]
This is the required answer
Note :- If you want to prove the fact that for [tex]{\bf f\: : \: \mathbb{R}\to \mathbb{R}}[/tex], such that [tex]{\bf{f^{n}(x)=f^{n-1}(x)}}[/tex] is [tex]{\bf{f(x)=e^x}}[/tex], you can prove it by using the Maclaurin's series, and if you want it's proof too, I will prefer you seeing once here ;
https://brainly.com/question/27031371
What are the domain and range of f (x) = log (x 6) minus 4?
Answer:
We will see that the domain of the function is:
D: {x | x ∈ R | x > -6}
How to find the domain of a function?
To find the domain of a function, we start by assuming that it is the set of all real numbers, and then we remove the problematic points.
In this case, we have a logarithm, and as you may remember, we can only evaluate the logarithm in positive values, so we need to remove all the values of x such that:
x + 6 ≤ 0
Solving for x, we get:
x ≤ -6
So the only values of x allowed are the ones that make the next inequality true:
x > -6.
Thus we can write the domain as:
D {x | x ∈ R | x > -6}
Where the second part, x ∈ R, is usually ignored, as we assume that x is a real number unless we specify that it is not, but just for completion, I wrote it.
Find the surface area of the rectangular prism...
Answer:
the surface area is 52
Step-by-step explanation:
A=2(wl+hl+hw)=2x(1x2+8x2+8x1)=52
What is the median of the following numbers?
1,2,4,6,4
Answer:
4
Step-by-step explanation:
Remember that when solving for the median, Order the numbers from least to greatest. The middle number in the set is your median:
1 , 2 , 4 , 4, 6
4 is your answer.
~
Here we are given with some numbers:
• 1, 2, 4, 6, 4
We have to find the median. For this, we have to arrange the data in ascending or descending order. So, let's arrange it in required order.
➝ 1, 2, 4, 4, 6
As the total no. of numbers is 5, the median will be the middle term that is 4. Because when the number of terms is odd, then median is n/2 and when the number of terms is even, the median is n/2 + n + 1/2 /2 th term.
Correct answer is 4.
Carry On Learning [tex]![/tex]
Zelda and Ricky are laying floor tiles for a 15 ft by 18 ft room using a scale drawing. Their drawing is 9 in. by 10.8 in. Zelda thinks the scale for the drawing is 1 to 5/3. Ricky thinks it is 1 to 20. Can they both be right? Explain why or why not?
ANSWER QUICKLY 10 min Please Will Brainliest
Answer:
No, they cannot both be right
Step-by-step explanation:
Firstly, we need to convert the ft in the real room to inches
Mathematically; 1 foot = 12 inches
So 15 ft will be 15 * 12 = 180 inches
18 ft will be 18 * 12 = 216 inches
Now let’s look at their drawings;
9 to 10.8
So 9 translated to 180 while 10.8 translated to 216
So the ratios here are;
9/180 and 10.8/216 = 1 : 20 for the ratio of the drawing to the real measure
This shows that only Ricky is right
What is the volume, in cubic feet, of a cone that has a base
7T
area of
square feet and a height of 3 feet?
4.
Answer:
I AM GROOT I AM GROOT
Step-by-step explanation:
40 POINTS PLS HELP
The total cost after sales tax to fix Azar’s computer is represented by the expression 0.08 (55h) + 55h, where h represents the number of hours it takes to fix Azar’s computer.
Answer:
59.4
Step-by-step explanation:
0.08x55+55
Mr. Reams mixes 12 cups of a paint in a large bowl. He uses the paint to fill 40 small dishes with two fluid ounces of paint each. How many cups of paint does Mr. Reams have left in the bowl?
please help asap <3.
Mr. Reams has 7 cups of paint after filling 40 small plates with two ounces of liquid paint.
How to calculate how many cups of paint Mr. Reams has left?To calculate how many cups of paint Mr. Reams has left after filling 40 plates with two fluid ounces of paint, we must take into account the following information:
1 cup = 8 fluid ouncesx cups = 40 fluid ouncesTo find out how many cups are equal to 40 ounces, we must perform the following operation.
40 ÷ 8 = 5Based on the above, Mr. Reams used up 5 cups of paint, so he has 7 cups of paint left which equals 56 fluid ounces of paint.
12 - 5 = 7
Learn more about painting in: https://brainly.com/question/25795412
Indicate the method you would use to prove the two triangles. If no method applies, enter none.
LA
None
HL
LL
HA
Answer:
the answer is b
Step-by-step explanation:
hypotenuse leg theorem
Answer:
the answer is none
Step-by-step explanation:
How many distinct permutations can be formed using the letters of the word believable?
Answer:
✒️Answer:No. of Permutations=3360.
Step-by-step explanation:
#CarryOnLearning[tex]watch.some.anime[/tex]
The number of distinct permutations that can be formed using the letters of the word believable is 15,1200.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that:
The word is:
"believable"
Total number of letters = 10
b repeated two(2) times
e repeated three(3) times
l repeated two(2) times
No. of Permutations = 10!/(2!3!2!)
No. of Permutations = 15,1200
Thus, the number of distinct permutations that can be formed using the letters of the word believable is 15,1200.
Learn more about permutation and combination here:
https://brainly.com/question/2295036
#SPJ5
Food cost for the last 5 months has been 600. What is the average amount spend?
Helppppppppp
Answer:
The average amount spent is $120
Step-by-step explanation:
To find the average, divide 600 by 5 to get 120.
Answer:
120
Step-by-step explanation:
State the period, midline, amplitude, and range of the given graph. (I got them wrong, I will mark brainliest!)
Answer:
Period: [tex]\pi[/tex]
Midline: y = -3
Amplitude: 4
Range: [-7, 1]
Step-by-step explanation:
Period - from one peak to the next (or from one trough to the next)
⇒ Period: [tex]\pi[/tex]
Midline - center line
Range = -7 ≤ f(x) ≤ 1
[tex]\implies \sf midline =\dfrac{1-(-7)}{2}+(-7)=-3[/tex]
⇒ Midline: y = -3
Amplitude - height from the center line to the peak (or to the trough)
Maximum height: y = 1
center line: y = -3
Therefore, amplitude = 1 - (-3) = 4
Range - the set of all values that the function takes
-7 ≤ f(x) ≤ 1 → [-7, 1]
#Period
Find the distance between two peaks
It's π#Midline
Range of the pitch (Peak to trough distance)
(-7,1)Midline:-
[tex]\\ \tt\Rrightarrow \dfrac{1+7}{2}-7=4-7=-3[/tex]
Midline is y=-3#Amplitude
Midline is y=-3Trough=y=-7Distance:-
A=-3+7=4#Range
The pitch
[-7,-1]What is the equation of the line that is parallel to the given line and has an x-intercept of –3?
Brian multiplied his average speed of 14.73 miles per hour by the amount of time he spent cross-country skiing. His product was 11.0475.
A 2-column table with 4 rows titled Brian's Activity time (hours). Column 1 has entries hiking, mountain biking, horseback riding, cross-country skiing. Column 2 has entries 3, 1.45, 1.2, 0.75.
Rounding to the nearest whole number, determine whether Brian’s product is reasonable.
Round Brian’s average speed to
.
Round the activity time to
.
Was Brian’s product reasonable?
Answer:
12.2*1=12.2
12.2*0.45=5.49
5.49+12.2=17.69
Step-by-step explanation:
Answer:
15 then 1 then yes
Step-by-step explanation:
Rounding to the nearest whole number, determine whether Brian’s product is reasonable.
Round Brian’s average speed to
✔ 15
.
Round the activity time to
✔ 1
.
Was Brian’s product reasonable?
✔ yes
A police officer marries a bank teller. What is their
combined income each month?
Help please help help please please
Answer:
The combined income each month should be $4,515.08. If it needs to be rounded, then it's just 4,515.
Step-by-step explanation:
All you needed to do was add.
Hope this helps you out
Rewrite the equation without absolute value.
y=|x-3|+|x-2|-|x-5|
Answer:
y = {-x, x < 2; x-4, 2 ≤ x < 3; 3x -10, 3 ≤ x < 5; x, 5 ≤ x}
Step-by-step explanation:
The absolute value function is a piecewise linear function that changes its definition when its argument changes sign.
Here, the three different absolute value expressions will change their behavior at three different values of x. That is, this equation will be described by a piecewise linear function in four (4) pieces.
For x < 2:
y = (3 -x) +(2 -x) -(5 -x) = -x
For 2 ≤ x < 3:
y = (3 -x) +(x -2) -(5 -x) = x -4
For 3 ≤ x < 5:
y = (x -3) +(x -2) -(5 -x) = 3x -10
For 5 ≤ x:
y = (x -3) +(x -2) -(x -5) = x
In summary, the equation can be written ...
[tex]y=\begin{cases}-x,&\text{for }x < 2\\x-4,&\text{for }2\le x < 3\\3x-10,&\text{for }3\le x < 5\\x,&\text{for }5\le x\end{cases}[/tex]
_____
Additional comment
The absolute value function itself can be described by ...
[tex]y=|x-a|=\begin{cases}a-x,&\text{for }x < a\\x-a,&\text{for }a\le x\end{cases}[/tex]
Please Help its A Math Problem!!! Please & thank you
Answer:
The last one is correct answer.
A teenager puts $50 into an investment account in January. If by December the balance in the account increases by 17%, what is the amount of money in the account in December?.
Answer:
$58.5
Step-by-step explanation:
x • 1 + = _____.
can someone please help ?
Answer:
The answer is x
Step-by-step explanation:
When "x" has a dot next to it, it pretty much means you have to multiply x with the value of the number after the x · . Which means x · 1 + = x.
Answer:
I don't know if this correct I got X but your equation doesn't make sense
Step-by-step explanation:
Find the mistake in this problem. 3(x + 2) = 3x +2
Answer:
should have multiplied both x and 2 by 3.
3x + 6
PLEASE HELP!!!!
ILL GIVE YOU BRAINLIEST!!!!!!
answer:
-6 is the answer I think
heeeeelp for woodkaaaaaaaa
Answer:
Hope this helps ya! :D
Step-by-step explanation:
Answer:
We can use a table of values or a graphing calc.
Step-by-step explanation:
We can simply plug the function into a graphing calc.
To use a table of values, we simply plug in x-values to get output y-values. Those would be our coordinates to graph, such as (-6, 0) and (0, -3). We would then just draw a line between them.
) Solve the equation.
5.3 + 3 = 23
? ? On both sides
Hey there!
First, subtract 3 from both sides:
5x+3=23
5x=20
Now, divide both sides by 5:
x=4 (Answer)
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
Answer:
x=4
Step-by-step explanation:
Separate the term x from one side of the equation to solve the problem.
5x+3=23
First, subtract by 3 from both sides.
[tex]\sf{5x+3-3=23-3}[/tex]
Solve.
[tex]\sf{23-3=20}[/tex]
Write down the problem.
5x=20
Then, you divide by 5 from both sides.
[tex]\sf{\dfrac{5x}{5}=\dfrac{20}{5} }[/tex]
Solve.
Divide.
[tex]\sf{20\div5=4}[/tex]
x=4
As a result, the correct answer is x=4.
I hope this helps you! Let me know if my answer is wrong or not.
Which of the following is equal to one million three hundred thousand?
A
1.3×106
B
1.3×109
C
1.03×106
D
1.03×109
THE FIRST TO ANSWER CORRECTLY GETS BRAINLIEST! NO LINKS!
Answer:
I think option D is the correct answer