HELP PLEASE!!!
Identify a point and two x intercepts to write the x-intercept form equation of each parabola.
Answers
x intercepts are 5 and 7
The third point I used was (6,-2); however, you can use any other point you want as long as it's not one of the x intercepts mentioned.
==========================================================
Explanation:
The x intercepts are 5 and 7, where the parabola crosses the x axis. Because of these roots, the two factors are x-5 and x-7.
We can think of the root x = 5 turning into x-5 = 0 after subtracting 5 from both sides. The same goes for x = 7 turning into x-7 = 0.
Put together, the two factors lead to (x-5)(x-7) and we get the equation y = (x-5)(x-7). Plugging either x = 5 or x = 7 into this equation produces y = 0.
-------------------
Notice that plugging in x = 6 leads to...
y = (x-5)(x-7)
y = (6-5)(6-7)
y = (1)(-1)
y = -1
However, the graph shows that x = 6 should lead to y = -2 instead. To fix this, we can stick a 2 out front like so
y = 2(x-5)(x-7)
y = 2(6-5)(6-7)
y = 2(1)(-1)
y = -2
The error has been fixed. As you can see, we need this third point to help nail down the parabolic equation. You can pick any other x value you want as long as it's not 5 or 7.
-------------------
Let's try another x value. Let's say we pick x = 8
y = 2(x-5)(x-7)
y = 2(8-5)(8-7)
y = 2(3)(1)
y = 6
We see that x = 8 leads to y = 6. This matches what the graph shows that (8,6) is a point on the parabola. I'll let you try other x values.
-------------------
In short, we used the roots 5 and 7 to generate the partial factorization (x-5)(x-7). Then we used a third point (6,-2) to help determine the coefficient out front which was 2.
So after using that point, we go from y = (x-5)(x-7) to y = 2(x-5)(x-7) which is the final answer. This is considered x-intercept form because we can quickly read off the x intercepts from this equation.
Related Questions
What is (f•g)(x)?
f(x) = 4x + 6
g(x) = -5x
Answers
(f.g)(x) = (4x + 6)(-5x) = -20x^2 -30x
ok done. Thank to me :>
Colin hits a ball 5 times out of 12 times is thrown to him based on that rate what is approximate probability that coin will hit the next ball that is thrown to him
Answers
Can someone help me with this question will mark brainliest.
Answers
Answer:
A:use SAS to show triangle PRQ is congruent to triangle SR.P
6 * 2 /( -1)4* 5-(8+3)
Answers
Answer:
-251
Step-by-step explanation:
Following BEDMAS/PEMDAS
6*2/(-1)4*5-(8+3); first simplify the brackets/parenthesis
= 6*2/(-1)4*5-11; now do divisons and multiplications going from left to right
= 12/(-1)4*5-11 = -12*4*5-11 = -48*5-11 = -240-11
= -251
What is the first step to solve the following equation:
7x = 42
Answers
divide each side by 7
7x/7 = 42/7
x = 6
the answer is 6 :)
a What is the slope of a line that passes through the points (1, 2) & (4, 12
Answers
Answer:
10/3 or 3.33333
Step-by-step explanation:
Images Below
Hope this Helps
What list shows these in order from least to greatest?
Square W: A= √325 in.2
Square X: A= 3π/.5 in.2
Square Y: A= 5.5π in.2
Square Z: A= 17.92 in.2
1. Z, Y, W, X
2. X, W, Z, Y
3. Y, Z, W, X
4. W, X, Y, Z
Answers
Answer:
4 i am not sure for this answer guess
For the problem -4(-5)(9), will the answer be positive or negative?
Answers
Answer:
Positive
Step-by-step explanation:
-4(-5)(9)
Negative cancels out negative, so it makes a positive:
20(9)
Simplify normally to get 180 as your final answer.
Diya used modeling to find
2
.
82
÷
3
.
She regrouped 2 as 20 tenths and regrouped 0.8 as 7 tenths plus 10 hundredths. She divided all of the tenths and hundredths into three equal groups. Each group had 9 tenths and 4 hundredths. She decided that
2
.
82
÷
3
=
0
.
94
.
Which of the following is the correct conclusion about Diya's quotient of 0.94?
help mee
Answers
Answer:C
Step-by-step explanation: The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04
The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04.
Given that, Diya regrouped 2 as 20 tenths and regrouped 0.8 as 7 tenths plus 10 hundredths.
What are decimal numbers?Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.
According the given question, the numerical expression is
20/10 + 7/10+12/100
= 2+0.7+0.1
= 2.8
She divided all of the tenths and hundredths into three equal groups.
That is, 2.82/3
=0.94
Hence, the quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04.
To learn more about the decimal numbers visit:
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What is slope ? Help me please
Answers
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
First, let's pick two points on the line.
I am going to pick (10, 10) and (40, 20) as they are easier to read.
Slope is rise over run, or in other words, change in y over change in x.
Let's do the math:
[tex]\frac{change.in.y}{change.in.x} =\frac{20-10}{40-10} =\frac{10}{30} =\frac{1}{3}[/tex]
So, the slope is [tex]\frac{1}{3}[/tex] which we can also check by looking at the graph, find a point then move up and over three!
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
I built a toy model of my car that is 15 inches long.If my actual car is 20 feet long.What is the scale distance between the toy model and the actual car?
Answers
tell me if it’s wrong or not
If I built a toy model of my car for the given condition the scale distance between the toy model and the actual car will be 225 inches.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
The term PEMDAS describes the sequence in which arithmetic operations must be carried out in an equation.
It is given that the length of the toy model car is 15 inches and the actual car is 20 feet
As we know 1 foot consists of 12 inches as a result 20 feet has 240 inches.
The scale distance between the toy model and the actual car is the difference between the actual length and the model length.
Scale distance = 240 inches - 15 inches
Scale distance =225 inches
Thus, if I built a toy model of my car for the given condition the scale distance between the toy model and the actual car will be 225 inches.
Learn more about the arithmetic operation here:
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Graph the line with the equation y = 6/5x-2
Answers
Answer:
Step-by-step explanation:
The graph of equation is shown in figure.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line is,
⇒ y = 6/5x - 2
Now,
Since, The equation of line is,
⇒ y = 6/5x - 2
Clearly, The slope = 6/5
And, The y - intercept = - 2
Thus, The graph of equation is shown in figure.
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what's 12+12+12?
_______
.
Answers
Answer:
the answer is ;
12+12+12 = 36
1.
Prove that AMNO is congruent to AXYZ using triangle congruency theorems.
M
Given: ZMLX
2N =zY
YO NZ
Prove: AMNO = AXYZ
Z
I
Answers
Answer:
yes they are
Step-by-step explanation:
they are both congruent because they are the same shape and size, they are just on opposite sides
(congruent means that 2 objects are the same shape and size)
Answer:
yes they are
Step-by-step explanation:
-6) -6x — 10y = 3
12х + 20 y = 0
Elimination or substitution?
Solve
Answers
Answer:
Elimination and y=4 x=6
Step-by-step explanation:
Find x. Isosceles triangle theorems.
Answers
Answer:
x = 70°Step-by-step explanation:
If two sides of a triangle are congruent, then angles opposite those sides are congruent.
the sum of the interior angles in a triangle is 180°
(180 - 40) : 2 =
70
x = 70°
----------------------------
check
70 + 70 + 40 = 180°
the answer is good
The marked price of a television is Rs 18,500. A dealer allows two successive discounts of 20% and 5%. For how much is the television available to buy
Answers
Answer:
20%Discount price is 14800
Then 5%Discount price of the new price is 14060
14060 is the answer
a string 27.2 meters long is cut into shorter pieces, each measuring 3.4 meters long. How many pieces were cut from the 27.2-metres string ?
Answers
Answer:
There are 8 pieces of string cut
Explanation:
27.2 ÷ 3.4 = 8
Simplify the expression 4x^3x2x^3
Answers
(4×2)x^2x^2
8x^2x^2
8x^2+2= 8x^4
Question 3
Find the Slope.
(2,8) and (4, -3)
Answers
Answer:
5.5
Step-by-step explanation:
slope formula is y2-y1 over x2-x1
plugging your values in, you get 8-(-3)/ 4-2
which is 11/2
11 divided by 2 is 5.5, so that is your slope
Answer:
5.5
Step-by-step explanation:
because the explanation above
Some friends played a board game. During the game, one unlucky player had to move 5 spaces 7 turns in a row. Find a number to represent that player’s movements for those 7 turns.
Answers
Answer:
The unlucky player moved 35 spaces after moving five spaces seven turns in a row.
Step-by-step explanation:
Our equation formed is: 7 x 5 = x
=> 7 x 5 = x
=> x = 35.
Therefore, the unlucky player moved 35 spaces.
You want to buy dome new books that cost $13 each. Shipping is $5 per order. If you but 9 books, what us the cost of the order
Answers
13(9)+5 = $122 if you buy all of the books in the same order.
$13 per book, 9 books. 13•9=117
Can you help me I can’T play in my game Sunday if I don’t pass
Answers
Answer:
Option D is the correct answer. The last one.
Hope it helps you...
Please mark as brainlliest!!!
The table shows the relationship between cups of flour and number of eggs needed in a cake recipe.
Which equation represents the relationship shown?
Answers
Answer:
you are correct (A)
Step-by-step explanation:
i took this
What is slope ? Help me please
Answers
Answer:
Step-by-step explanation:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x). there you go.
PLEASE HELP!!!!!!!!! URGENT!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
the answer is
A. True
that is correct
help me can you help with the second part
Answers
Answer:
12 packages with 2 toothbrushes and 3 soaps each
Step-by-step explanation:
Consider the graph shown below.
What are the coordinates of point C after a dilation with a scale factor of 5,centered at the origin
Answers
Answer:
10,5
Step-by-step explanation:
After a dilation of 5, it should become 10 and 5 because it was 2,1 before.
The circumference of the planet Jupiter is approximately 2.7 x 109 miles, while the circumference of the Moon is 6.75 x 10° miles. How many times longer is the circumference of Jupiter than the circumference of the Moon?
Answers
Answer:
1738 kilometers
Step-by-step explanation:
The graph f(x)=(x+2)^2-7is translated 5 units left, resulting in the graph g(x). Which equation represents the new function, g(x)?
Answers
Answer: G(x)=(x-3)^2-7
Step-by-step explanation: Translated 5 units to the left is a negative change and a change in the X axis
The equation represents the new function, g(x) will be G(x)=(x-3)²-7. The correct option is A.
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
It is given that the graph f(x)=(x+2)²-7 is translated as 5 units left, resulting in the graph g(x).
Translated 5 units to the left are a negative change and a change in the X axis. The graph is also attached with the answer below.
The equation represents the new function, g(x) will be G(x)=(x-3)²-7.
To know more about translation follow
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