The following functions could represent the graph below then the correct option is B; y = (x - a)^2 (x - b)^4.
What is graph ?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
we have given that a and b are real numbers different than zero.
From the graph, we can see that the line touches the x-axis in two values.
Now, if we would have an equation such as:
y = x(x - a)^3 (x - b)^3
then when x = 0
y = 0(0-a)^3 (0-b)^3
y = 0
But in the graph, we can see that when x = 0, the value of y is different than zero,
(For example, if x > a and x < b we would have a negative value for y)
Then the correct option is B ;y = (x - a)^2 (x - b)^4
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Solve for all values of y in simplest form.
|4 - 5y| = 16
Answer:
[tex]y=-\frac{12}{5}[/tex]
I think this is the correct answer
subtract 3x-7x³+5x² from the sum of 2+8x²-x³ and 2x³-3x²+x-2
Answer:
(2 + 8 x^2 - x^3) + (2 x^3 - 3 x^2 + x - 2) - (3 x - 7 x^3 + 5 x^2) = 8 x^3 - 2 x
Step-by-step explanation:
Y=-1,X+2y=-6 solve by substitution show all work
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
[tex]x+2y=-6[/tex]
[tex]y=-1[/tex]
_________
[tex]x+2\left(-1\right)=-6[/tex]
[tex]x-2\times \:1=-6[/tex]
Multiply: 2*1= 2
[tex]x-2=-6[/tex]
Add 2 to both sides:
[tex]x-2+2=-6+2[/tex]
[tex]x=-4[/tex]
________________
* Hope it helps
* Have a good day!
________________
Answer:
x = -4, y = -1
Step-by-step explanation:
Simple, just plug the Y in
(Pemdas)
x+2(-1) = -6
x-2 = -6
x = -4
-4+2y = -6
2y = -2
y = -1
PLEASE HELP QUESTION IN PICTURE
Answer:
16 units
Step-by-step explanation:
Matthew wants to buy a new pair of jeans. If the jeans were originally $65.00, but are on sale with a 10% discount, how much will Matthew have to pay for the jeans?
10% off means the jeans will sell for 90% of the original price ( 100% - 10% = 90%)
Multiply the original price by 90%
65.00 x 0.90 = 58.50
He will pay $58.50
A furniture maker used 5/6 of a can of paint to paint some chairs. He used 1/6 of a of paint for each chair. How many chairs did he paint? Write your answer as a fraction or as a whole or mixed number.
Answer:
5 chairs
Step-by-step explanation:
then you'd get 5 so the answer is 5.
Just divide 5/6 / 1/6,
Answer:
5
Step-by-step explanation:
This is a question of division, the total quantity of paint used will be the amount of paint needed per chair × the number of chairs;
This is an equation, which can be rearranged to give:
Number of chairs painted = total paint used/paint needed per chair
Total paint used = ⅚
Paint needed per chair = ⅙
Therefore:
Number of chairs painted = (⅚)/(⅙)
Number of chairs painted = ⅚ × 6
Number of chairs painted = 5
(2x²+6x-3)+(3x²-8x-6)
[tex](2x^2+6x-3)+(3x^2-8x-6)\\\\=2x^2+3x^2+6x-8x -6 -3\\\\=5x^2-2x-9[/tex]
Answer:
3x + 1
——————
2x
Step-by-step explanation:
https://www.tiger-algebra.com/drill/(3x~2-8x-3)/(2x~2-6x)/
it will give you the step by srep explaation
Paula has $3,281 in a savings account that earns 8% interest, compounded annually.
To the nearest cent, how much interest will she earn in 1 year?
(compound interest Formula)
Answer:
$262.48Step-by-step explanation:
Given:
Saving amount P = $3281Interest rate r = 8% or 0.08Compound number n = 1Time t = 1 yearFind the total amount in 1 year:
[tex]I = P(1 + r/n)^{nt}-P[/tex][tex]I = 3281*(1 + 0.08/1)^{1*1} -3281 = 3281*1.08 - 3281= 3281*0.08=262.48[/tex]
pls help i really dont understand this
Answer:
Slope: -1
y intercept: -3
equation: y=-1x-3
Step-by-step explanation:
The y intercept is when x is zero.
What is the slope of the line that passes through the points (-5, -5 ?(−5,5)?
Answer:
undefined
Step-by-step explanation:
I'm assuming the points are (-5,-5) and (-5,5)
The formula to do slope is: (y2-y1)/x2-x1)
2 points: (x1, y1) (x2, y2)
So then:
(5-(-5))/(-5-(-5))=10/0
This shows that the line is vertical, which means that slope is undefined.
Answer:5/65/6
The slope of the line passing through the point (5,5) is 5/6.
Step-by-step explanation:
A girl goes on an epic 9-hour snowshoeing truck, and her velocity time graph is shown below, with velocity shown in miles per hour and time shown in hours.
A. When is her velocity at its maximum? What is that maximum velocity?
B. How far did she travel during the first 3 hours?
C. How far does she travel during her entire hike?
D. What is her average velocity during the hike?
a) She reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].
b) The girl travels a distance of 6 miles in the first 3 hours.
c) The girl travels a distance of approximately 22.283 miles during her entire hike.
d) The average velocity of the girl is approximately 2.476 miles per hour.
a) The maximum velocity represent the maximum value in the vertical axis reached by the girl in time. According to the graph, she reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].
b) Travelled distance is represented graphically by the area below the curve and above the time axis. The travelled distance ([tex]\Delta x[/tex]), in miles, during the first 3 hours is represented by the area of a rectangle, that is to say:
[tex]\Delta x = v(3)\cdot \Delta t[/tex] (1)
Where:
[tex]\Delta t[/tex] - Time interval, in hours.[tex]v(3)[/tex] - Final velocity, in miles per hour.If we know that [tex]\Delta t = 3[/tex] and [tex]v(3) = 2[/tex], then the travelled distance in the first 3 hours is:
[tex]\Delta x = (2)\cdot (3)[/tex]
[tex]\Delta x = 6\,mi[/tex]
The girl travels a distance of 6 miles in the first 3 hours.
c) The travelled distance is determined by the following geometric expression:
[tex]\Delta x = v(3)\cdot t_{1} + 0.5\pi\cdot [v(5)-v(3)]^{2}+0.5\cdot v(3)\cdot (t_{2}-t_{1})[/tex] (2)
If we know that [tex]v(3) = 2[/tex], [tex]t_{1} = 7[/tex], [tex]v(5) = 4[/tex] and [tex]t_{2} = 9[/tex], then the travelled distance is:
[tex]\Delta x = 2\cdot 7 + 0.5\pi\cdot (4-2)^{2}+0.5\cdot 2\cdot (9-7)[/tex]
[tex]\Delta x \approx 22.283\,mi[/tex]
The girl travels a distance of approximately 22.283 miles during her entire hike.
d) The average velocity ([tex]\bar v[/tex]), in miles per hour, is obtained by dividing the traveled distance ([tex]\Delta x[/tex]), in miles, found in c) by time.
[tex]\bar v = \frac{\Delta x}{\Delta t}[/tex] (3)
If we know that [tex]\Delta x \approx 22.283[/tex] and [tex]\Delta t = 9[/tex], then the average velocity of the girl is:
[tex]\bar v = \frac{22.283}{9}[/tex]
[tex]\bar v \approx 2.476\,\frac{mi}{h}[/tex]
The average velocity of the girl is approximately 2.476 miles per hour.
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© There is a bag with only milk and dark chocolates.
5
The probability of randomly choosing a dark chocolate is
5/12
There are 25 dark chocolates in the bag and each is equally likely to be chosen.
Work out how many milk chocolates there must be.
Answer:
I think it's 35, because if there's 25 dark and you divide 25 by 5 you get 5, so 1/12 is equal to 5
Work out the area of the shaded shape.
5m
9m
11m
8m
The diagram is not drawn to scale.
At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?
Answer:
1
Step-by-step explanation:
Express the following as:
ax+by+c=0
-2x+3y=6
[tex] \color{magenta} \huge{answer}{} [/tex]
it can be expressed as -2x + 3y = 6on comparing with ax+by+c=0
We can find out that
[tex] \green{ \huge{a= -2}{} }[/tex]
[tex] \pink{ \huge{b = 3}{} }[/tex]
[tex] \color{magenta} \huge{c = 6}{} [/tex]
hope it helpsThe expression -22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0
Linear EquationsThe given equation is:
-2x + 3y = 6
Comparing the equation above with ax + by + c = 0
Rewrite -2x + 3y = 6 in the form ax + by + c = 0
-2x + 3y - 6 = 0
If -2x + 3y - 6 = 0 is compared with ax + by + c = 0
a = -2, b = 3, c = -6
Therefore, the expression-22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0
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Please Help Me!
Solve for x. Round to the nearest tenth if necessary.
Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.
Apples (lb) Peaches (lb)
x y
0 10
1 8.75
2 7.5
4 5
6 2.5
8 0
Answer:
Different ways to answer this question
Step-by-step explanation:
You can do a ratio of 1:4 apples and 1:5 oranges
The area of the triangle below is 5/12 square feet. What is the length of the base. Express you answer as a fraction.
Answer:
5/3 ft
Step-by-step explanation:
you multiply 5/12 by 2 which is 5/6 then you divide that by 1/2 which gives you 5/3. 5/3 times 1/2 is 5/6. 5/6 divided by 2 is 5/12.
hope the made sense.
Please help with this math problem!! IT'S DUE TONIGHT AT 11:59PM!! NO LINKS PLEASE!! :)
Answer:
[tex]c = \: \: 0 \: \: \: 1 \: \: 2 \: \: 3 \: \: 5 \: \: 7[/tex]
Step-by-step explanation:
check this pls
but im not sure;-)
pa heart and 5 star
if check po
Answer:
[tex]C= -2p+5, \text{where slope is} ~-2.[/tex]
Step by step explanation:
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:115, colon, 1. He currently has 404040 grams of the spice blend, and he can go buy more if necessary. He wants to make 101010 servings, where each serving has 757575 grams of rice. Overall, David spends 4.504.504, point, 50 dollars on rice.
What is the price of rice per gram?
dollars per gram of rice
Answer:
Price of rice per gram = $ 0.006 per gram or 0.6 cents per gram .
Step-by-step explanation:
Given: David wants to make 10 servings, where each serving has 75 grams of rice.
Total quantity of rice required = 10 x 75 = 750 grams
Overall, David spends 4.50 dollars on rice.
i.e. cost of 750 grams of rice = 4.50 dollars
Price of rice per gram =(cost of 750 grams of rice ) ÷ 750
= (4.50 dollars ) ÷ 750
= $ 0.006 per gram.
Price of rice per gram = $ 0.006 per gram.
Answer:
0.006
Step-by-step explanation:
A website is selling couches for $864. The site got the couches at a cost of $320. What percentage is the mark-up?
Two ships leave a harbor together traveling
on courses that have an angle of 128°
between them. If they each travel 543 miles,
how far apart are they (to the nearest mile)?
A) 976 mi
B) 476 mi
C) 42 mi
D) 1952 mi
Answer:
use cosine law
x^2 = 543^2 + 543^2 - 2(543)(543cos 128°
solve for x
Step-by-step explanation:
For what value of x is line a parallel to line b?
Answer:
x = 22
Step-by-step explanation:
4x + 28 = 116 (corresponding angles are equal when two lines are parallel)
4x = 88
x = 22
Corresponding angles must be equal
[tex]\\ \tt\hookrightarrow 4x+28=116[/tex]
[tex]\\ \tt\hookrightarrow 4x=116-28[/tex]
[tex]\\ \tt\hookrightarrow 4x=88[/tex]
[tex]\\ \tt\hookrightarrow x=22[/tex]
£3 is €4.
Convert £30 to euros.
simplify 7 1/3t-(10 2/3t-6) it looks crazier than it is pls help
Answer:
7/3t-2(10/3t-3)
Step-by-step explanation:
7*1/3t=7/3t
-(10*2/3t-60)=-2(10/3t-3)
=7/3t-2(10/3t-3)
carl plays a game with his friend. their scores are 2,9,17, 18, and 15. what is the median score of their games? Need answer asap thanks
Answer:
15
Step-by-step explanation:
Order
2, 9, 15, 17, 18
Find Median Position
Use the formula
[tex] \frac{n + 1}{2} [/tex]
where n is the number of numbers.
Substituting in, 5 + 1 is 6, divided by 2 is 3.
Find the number at the correct position
15
True or false: In(x+y)- In(x+y)=0. Explain your thinking.
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf ln(x + y) - ln(x + y) [/tex][tex] \sf ln( \frac{x + y}{x + y} ) [/tex][tex] \sf ln(1) [/tex][tex] \sf0[/tex][ Since, ln (1) = 0 ]
Therefore, the statement is true ~
Answer:
In(x+y) - In(x+y)
= In([tex] \frac{x + y}{x + y} [/tex])
= In(1)
=0
Hence, the statement is true!!
2x-5y=9 y-3x=-7 solve by substitution
x
=
2
and
y
=
−
1
Explanation:
y
=
3
x
−
7
and
2
x
−
5
y
=
9
Substitute for
y
2
x
−
5
(
3
x
−
7
)
=
9
Simplify
2
x
−
15
x
+
35
=
9
Keep going and get
−
13
x
=
−
26
So
x
=
2
Now find
y
y
=
3
x
−
7
→
3
(
2
)
−
7
y
=
−
1
This table show the total distance d, in kilometers, a truck traveled after t hours. Which equation shows the relationship between d and t? d = 100t d = t + 300 d = 300t d = t + 100
Answer:
d=100t or d=300t depending on how much the truck travels for an hour because no image was provided i dont know
Step-by-step explanation:
Someone help me with this please
Answer: x = 43, ABC = 180 degrees, DBC = 48 Degrees
Step-by-step explanation:
(3(x+1))+(x+5)=180 degrees
4x+8=180
4x=172
x=43
using these we plug in.
ABC = is 3(44) + (48) = 180
DBC = 43+5 = 48