The quadratic equation is given by y = -2x² + 4x + 1
The standard form of a quadratic equation is given by:
y = ax² + bx + c
At point (1, 3):
3 = a(1)² + b(1) + c
a + b + c = 3 (1)
At point (2, 1):
1 = a(2)² + b(2) + c
4a + 2b + c = 1 (2)
At point (-2, -15):
-15 = a(-2)² + b(-2) + c
4a - 2b + c = -15 (3)
Solving equations 1, 2 and 3 simultaneously gives:
a = -2, b = 4, c = 1
The quadratic equation is given by y = -2x² + 4x + 1
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A line with a slope of 1/10 passes through the point (10, 1) What is its equation in slope-intercept form?
Hello there! :)
We are given the slope of the line: 1/10.We are also given the point that the line passes through.So, with the given information, we can use Point-Slope form:y-y1=m(x-x1)y-1=1/10(x-10)y-1=1/10x-1y=1/10xTherefore, that's the equation.Hope it helps. Use the comment section to clarify any doubts.
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the equation of line which passes through point (10, 1) and having slope 1/10 is y = x/10 + 0.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
y = mx + b
In which the coefficients are described as follows:
• The coefficient m is the slope of the function, representing the rate of change of the function.
• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).
Here, it is given that line passes though point (10,1) and having slope of 1/10.
Now, Let us find the equation of the line using point-slope equation of line :
(y-y₁) = m(x-x₁)
Substituting all the values in above equation to get the equation of line :
(y-1) = 1/10(x-10)
y - 1 = x/10 - 1
y = x/10 + 0
Therefore, the equation of line which passes through point (10, 1) and having slope 1/10 is y = x/10 + 0.
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Identify the two irrational numbers
Answer:
Your answer is in picture hope it helps
Step-by-step explanation:
I need the answers to these please
a) 7 × (-4)
= -28
b) (-6) × 8
= -48
c) (-5) × (-9)
= 45
[tex]\mathbb{MIREU} [/tex]
Write an equation in point-slope form of the line that passes through the point (−3,6) and has a slope of 5.
Answer:
Below in bold.
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1)
where m = the slope of the line and (x1, y1) is a point on the line.
Here m = 5, x1 = -3 and y1 = 6.
So we have:
y - 6 = 5( x - (-3))
y - 6 = 5(x + 3) (Answer)
Jared and Casey splurged on a special dinner for their anniversary. Their dinner cost $262.57,
and the local sales tax is 4%. If they left a 20% tip on the $262.57, how much in total did
they pay?
They paid a total of $325.5868
Estimate the quotient of 57.87 ÷ 5 A) 9 B) 10 C) 11 D) 12
Answer:
C, 11
Step-by-step explanation:
please helpp im timed!!!
Answer:
Answer A is correct
Step-by-step explanation:
Lily has $2. 75 in her pocket, consisting of dimes and quarters. If there are 17 coins in all, how many of each does she have?.
Answer:
Lily has 7 Quarters and 10 Dimes
Step-by-step explanation:
Let's use pennies instead of $.
Let D and Q stand for the numbers of Dimes and Quarters, respectively.
We are told that there are 17 coins total:
D + Q = 17
We also learn that they amount to 275 (pennies). We can write that as:
10D + 25Q = 275 [Each D is worth 10 pennies, etc.]
We have two equations and two unknowns. We can rearrange one equation to find the value of either of the unknowns, and then use that it the second equation.
I'll rearrange the first:
D + Q = 17
D = 17 - Q
Now use this value of D in the second equation:
10D + 25Q = 275
10(17-Q) + 25Q = 275
170 - 10Q + 25 Q = 275
15Q = 105
Q = 7 : 7 Quarters.
Since D + Q = 17:
D + 7 = 17
D = 10 Dimes
==========================================
Let's check these results:
Q = 7 Quarters
D = 10 Dimes
1. Is this 17 coins in total? (7+10 = 17) YES
2. Does this add to $2.75? (10*10) + (7*25) = 275 cents?
(100 + 176) = 275 (cents) YES
============================
Lily has 7 Quarters and 10 Dimes
Solve 4,200 ÷ 70 = ________. Rewrite as a fraction to help you.
Please help! I highly appreciate it! :D
Here's some required measures !
1 ft = 12 inches 0.4 ft = 0.5 × 12 = 6 inchesLet's calculate its surface area ~
[tex] \sf2[(12 \times 10) + (11 \times 12) + (10 \times 11) ] - 2(7 \times 7) [/tex][tex] \sf2[120 + 132 + 110 ] - 2(49) [/tex][tex] \sf{2(362)} - 98[/tex][tex] \sf724 - 98[/tex][tex]6 \sf26 \: \: in {}^{2} [/tex]FIRST CORRECT ANSWER GETS BRAINLIEST:
In the African nation of Niger, French is the official language, while in Nigeria, English is the official language. Why would these two countries have different official languages that are European In
origin?
They were colonized by different European countries
They are historically at war with one another.
They needed a lingua franca to be able to communicate.
Step-by-step explanation:
They needed a lingua franca to be able to communicate.
2. What is the x-intercept for the equation -2x + 5y = -10?
Answer:
Step-by-step explanation:
X intercept occurs when y = 0
-2x + 5(0) = -10
x = -10/-2
x = 5
Joan is thinking of a number. She adds 5 and multiplies it by 4. She then subtracts n of her original number and divides by 20. She wants the answer to always be 1. What is the value of n?
Answer:
5
Step-by-step explanation:
(4n+5)-n/20=1 cross multiply:(4n+5)-n=204n+5=20+n4n-n=20-53n=15Divide both sides by coefficient of nn=5pls help me with math asap pls no links thx
Answer:
8
Step-by-step explanation:
Divide 192 by 24 and you'll get 8 classes per grade as the answer
Answer:
8 classes
Step-by-step explanation:
To find the minimum amount of classes, you divide 192 by 24 and you get 8 classes.
To make a certain shade of paint, Anya mixed 2/3
cups of white paint with 2 and 2/3
cups of blue paint.
How many cups of blue paint should she mix with 3/4
cups of white paint to make the same shade?
Answer:
She needs 3 cups of white paint
Step-by-step explanation:
She has 1:4 ratio with the white and blue paint.
1/4:1
3/4:3
help please..
Select the correct image.
Given triangle A in the coordinate plane, which image shows a dilation of triangle A by a factor of 2 centered at the origin?
Answer:
C
Step-by-step explanation:
C because each point is twice as far from the origin
Answer:
c
Step-by-step explanation:
y=-1,X+2y=9 solve by substitution show all work
Answer:
x = 11
Step-by-step explanation:
Substitute y = -1 into the equation.
x+2y = 9
; x+2(-1) = 9
x+(-2) = 9
x-2 = 9
x = 9+2
x = 11
Find the value of f(5) for the function. f(a)=7(a+4)− 5
Answer:
58
Step-by-step explanation:
plug f(5)
7(5+4)-5
7(9)-5
=63-5
=58
Four students, Adrian, Claire, Jackson, and Wyatt, line up one behind the other. How many different ways can they stand in line?
Answer:
8
Step-by-step explanation:
4*3*2*1 i had the same problem
The number of different ways the students can stand in line is A = 24 ways
What are Permutations?A permutation is an ordered arrangement.
The number of ordered arrangements of r objects taken from n unlike objects is:
Permutation ⁿPr = n! / ( n - r )!
Given data ,
Let the number of different ways the students can stand in line be A
Now , There are 4 students to choose from for the first position in the line, then 3 remaining students for the second position, 2 remaining students for the third position, and only 1 student left for the last position.
Therefore, there are
4 × 3 × 2 × 1 = 24 different ways for the students to stand in line
Therefore , the value of A = 24 ways
Hence , the students have 24 ways to stand in line
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(5) Arrange the decimals in decreasing order...
(a) 8.6, 0.86, 6.8
(b) 7.005, 5.07 7.05
A) 0.86, 6.8, 8.6
B) 5.07, 7.005, 7.05
hope this is helpful!
solve similar triangles (advanced)
Answer: 18/7
This approximates to 2.5714
=====================================================
Explanation:
The two triangles are similar. We can use the AA (angle angle) theorem to prove this claim.
Because [tex]\triangle ABC \sim \triangle ADE[/tex], this means:
side AB corresponds to side AD. The letters from AB are the first two letters of ABC while AD are the first two letters from ADE.side BC corresponds to DE. We have BC as the last two letters of ABC and DE the last two letters of ADEAs those bullet points above mention, the order of ABC and ADE matters to allow us to pair up the corresponding angles and corresponding sides.
From that, we can form the proportion below to solve for x
AB/AD = BC/DE
3/(3+4) = x/6
3/7 = x/6
3*6 = 7*x
18 = 7x
7x = 18
x = 18/7
You could convert this to the approximate decimal form 18/7 = 2.5714, but I think it's better to keep it as a fraction.
Tyrone received the same score on each hand in a card game. His score on each hand was −18. He played 6 hands.
What was Tyrone's final score?
Enter your answer in the box.
points
-108 points
How?
Because -18×6=-108
------(Showed you some proof from above)
radius=12 round up to the nearest tenth
Answer:
12.0
Step-by-step explanation:
Answer:
452.4
Step-by-step explanation:
what is parallelogram?
Answer:
A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.
Step-by-step explanation:
Helpppp meee pleaseeee
Answer:
the correct answer is ( ZYXW ) because the given polygon is a rectangle and its properties is that the opposite sides are equal means the lenght and breath of the unknown side for the big rectangle is 6 , 3 and for small rectangle the the unknown sides are 1 , 2 only so now you've got all the side of both polygons so now you take the ratio of each side and then you can easily find the sides
Step-by-step explanation:
Hope it helps
Have Nice Day : )
The square root of 1.85
Answer:
around 1.36
Step-by-step explanation:
Find the value of x so that the function has the given value. g(x)=8x-11;(x)=5
Answer:
29
Step-by-step explanation:
Plz help with this question.
a] x/5=3
x=15
b] x/2=8.5
x=17
what is 2^3 x 2^18 simplified
Answer:
2097152 or 2^21
Step-by-step explanation:
Answer: [tex]2^{21}[/tex]
Step-by-step explanation: Exponents are combined when simplifying a multiplication equation.
What is -2 1/2 times 3 3/4?
Answer:
-6 3/8
Step-by-step explanation:
Step-by-step explanation:
-2 1/2 mixed number change fraction= -3/-4 = 3/4.
3 3/4 = 15/12 = 5/4.
3/4 x 5/4= 15/16.