To find the equation, for the x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16) we have to find the nature of the curve.
The correct option is f(x) = –2(x – 2)(x – 4).
Given:
The x-intercepts at (2, 0) and (4, 0).
The y-intercept of (0, –16).
The nature of the graph is quadratic curve. Write the general equation for x-intercept.
[tex]y=a(x-2)(x-4)[/tex]
Where is [tex]a[/tex] number
Substitute 0 for [tex]x[/tex].
[tex]y=a(0-2)(-4)\\y=8a[/tex]
We have y-intercept of (0, –16).
[tex]-16=8a\\a=-2[/tex]
The equation would be,
[tex]f(x) = -2(x - 2)(x - 4).[/tex]
Thus, the correct option is f(x) = –2(x – 2)(x – 4).
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the quotient of x and 10 equals 30
Answer:
x=3
Step-by-step explanation:
I'm assuming that's what you're asking.
x*10=30=>x=30/10=3
tbh this question confusing the **** outta me
Answer:
[tex]8^6[/tex]
Step-by-step explanation:
Powers are defined as the number of times you multiply a number by itself. For example, 2 to the 3rd power is 2 multiplied by itself 3 times. 2 * 2 * 2 = 8. You also know that if you multiply two powers of the same base, you add the exponent, and if you raise a power to a different power, you multiply the exponents.
e.g:
[tex]2^2\cdot2^2=2^{2+2}=2^4\\(2^2)^3=2^{2\cdot3}=2^6[/tex]
Now, we are asking to use grouping to write 2 to the power 18 as a power of 8. We know 2 to the power 8 is 2 to the power 3, so we have the following equation:
[tex]2^{18}=(2^3)^x[/tex]
We know this is now 2 to the power 3x = 2 the power 18, and therefore x = 6, because 3 times 6 is equal to 18. Now, we can just simplify 2 to the third as 8 and we now have:
[tex]8^6[/tex]
Help me solve these questions
?
Answer:
All of these?
find area of parallelogram multiple choice
refer to image.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP
MUST. give thoughtful explanation
In ∆ABD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh=\dfrac{1}{2}(7\times 4)[/tex]
In ∆BCD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)[/tex]
Now
IN PARALLELOGRAM ABCD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)+\dfrac{1}{2}(7\times 4)[/tex]
Option A
What is the radical form of the expression 4 3/2
What is the solution to y=12
Answer:
y=12
Step-by-step explanation:
This equation cannot be simplified further.
Hope this helped! :)
solve the following quadratic equation
27x^2 = 3
27x^2 - 3 = 0
3(9x^2 - 1 ) = 0
9x^2 - 1 = 0
( I think this is it- )
what is b? 0=-1/5(-1)+b
Answer:
b= -1/5
Step-by-step explanation:
Though a variable's sign changes when it is multiplied by -1, its absolute value does not. Therefore, we can eliminate the 1:
1/5+b=0
b+1-1/5=0-1/5
b+0/5= 0 -1/5
b=0 -1/5
and you have b= -1/5 as your answer
In order to verify the equation sin (θ +π/4) =-cosθ. What value would you need to know besides sin (π/4)?
Group of answer choices
a cos (π/4)
b sin (2π/3)
c tan (2π/3)
d cos ((-π)/3)
Answer: A cos (π/4)
I just took a test with this question and got it right
Which variable is most important in this problem? Sal ordered 20 T-shirts for the graphic design club. After tax, the cost of each T-shirt was $25. How much did the T-shirts cost in all?
If each quadrilateral below is a rectangle, find the missing measure.
Change 2.33 to a simplified fraction. Round to the nearest hundredth.
Answer: 233.00
Step-by-step explanation: In this case, Rule I applies, so 233/1 (or 233.000) rounded to the nearest hundredth in decimal format is:
a/6 is greater than 1
Answer: if its a proper fraction, 1 is always greater. Just know that because something doesnt look right here!
Step-by-step explanation:
MODELING REAL LIFE You and your friend are making pear tarts for a bake sale. Your recipe uses 7/6 times the weight of the diced pears used in your friend’s recipe. Your friend’s recipe calls for 0.3 pound of diced pears. How many pounds of pears should you buy to have enough for both recipes?
Answer:
0.65
Step-by-step explanation:
7/6+6/6=13/6
13/6=2 1/6
2*0.3=0.6
[tex]\frac{3}{10} *\frac{1}{6} =\frac{1}{20}[/tex]
1/20=0.05
0.6+0.05=0.65
Thad attempted 25 free throws and made 17 of them while Amy attempted 30 and made 20. Who shot the higher percentage?
Answer: Thad-1.471
Amy-1.500
SO AMY SHOT WITH A HIGHER PERCENTAGE
Step-by-step explanation: brainliest would be appreciated
write an equation for the line that gose through the points (-2,6) and (2, 12)
Answer:
y = [tex]\frac{3}{2}[/tex] x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )
m = [tex]\frac{12-6}{2-(-2)}[/tex] = [tex]\frac{6}{2+2}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] , then
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (2, 12 ) , then
12 = 3 + c ⇒ c = 12 - 3 = 9
y = [tex]\frac{3}{2}[/tex] x + 9 ← equation of line
IM GIVING TONS OF POINTS PLEASE HELP THANKS!
The width of a rectangle is 5 less than twice its length. If the area of the rectangle is 112
cm^2 , what is the length of the diagonal?
the answer might be 18.64 but im actually kinda du.mb so its probably not right.
Answer:
is 10 points alot? the other guy don't think so
6. The Gonzales family has three children. On summer break, they went to an amusement park. They bought 3 child tickets for $18.50 and 2 adult tickets. If they spent a total of $104.50, how much was the price of each adult ticket? and what is the equation.
Answer:
$24.50
Step-by-step explanation:
18.50*3=55.50 dollars
104.50-55.50=49.00 dollars
49 divided by 2=24.50 dollars
$24.50 dollars per adult ticket
3.74 = 0.4n + 2.5
What value of n makes the equation TRUE?
The value of n for the equation to be true is n = 3,1
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A , 3.74 = 0.4n + 2.5
Now ,
3.74 = 0.4n + 2.5
Subtracting 2.5 on both sides of the equation , we get
0.4n = 3.74 - 2.5
0.4n = 1.24
Divide by 0.4 on both sides of the equation , we get
n = 3.1
Therefore , n = 3.1
Hence , the value of n for the equation to be true is n = 3.1
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30,098 / 6
Quotient and Remainder
Answer:
5,016.33333333
Step-by-step explanation:
divide
Find measure of <1
Answer ASAP!!
Answer:
105 degrees
Step-by-step explanation:
since both sides of a line will add up to 180 we must subtract 75 from 180 since we already have 75 on the triangle side we subtract and get 105
Answer:
here
Step-by-step explanation:
60⁰+45⁰+X=180
105⁰+X=180⁰
X=180⁰-105⁰
hence X=75⁰
Now
<1=60⁰+75⁰
=135⁰
Plz mark as brainlist
Thank you ™
A bag of fruit contains 4 apples and 2 banans 3 oranges and 5 peaches. Darlene will randomly select two piecies of fruit one at a time from the bag and not put them back what is the probabilty that the first piece of fruit Darlene secelts will be on apple and the second piece of fruit will be orange
Answer:
6/91
Step-by-step explanation:
Total number of fruits = 4 + 2 + 3 + 5 = 14
Apple: 4/14
One of the fruits have been taken from the total. 14 thus becomes 13.
There are 3 oranges
Orange: 3/13
Combine probability: 4/14 * 3/13 = 12/182 = 6/91
Two is a common factor in both 12 and 182
I NEED HELP WHAT IS 3 miles 440 yards + 6 miles 880 yards
(3 miles) + (440 yards) + (6 miles) + (880 yards)
= 9.75 miles
After adding all the given values in, the same unit will be equal to 9.75 miles.
What is Unit conversion?Multiplying or dividing by a numeric number, or more specifically, a correction factor, is a procedure comprising several steps known as conversion.
Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.
As per the given information in the question,
3 miles + 440 yards + 6 miles + 880 yards
Now, use unit conversion,
1 mile = 1760 yards
440 yards = 0.25 miles and,
880 yards = 0.50 miles
So, total distance is,
3 miles + 0.25 miles + 6 miles + 0.50 miles = 9.75 miles.
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i dont know how to do this stuff
im choosing brainliest
Answer:
5 - 15 = -10
Step-by-step explanation:
Answer:
5 - 15 = -10
Step-by-step explanation:
If you start with 5 and then subtract 15, you end up at -10.
1/3x^2 = -3
The solution to the equation is ___?
A) x = 3
B) x = -3
C) x = ±3
D) no solution
[tex] \frac{1}{3} {x}^{2} = - 3 \\ = > {x}^{2} = - 3 \times 3 \\ = > {x}^{2} = - 9 \\ = > {x} = \sqrt{ - 9} \\ = > x = ±3[/tex]
Answer:
C) x = ±3
Hope you could get an idea from here.
Doubt clarification - use comment section.
In the equation, 6x - 2y = 11, what is the slope?
What is the length of the longest side of an isosceles triangle with leg lengths 2x+12 and 5x-9 and base length 6x-2?
What is 8,024.62 in words?
Answer:
eight thousand twenty four sixty two hundreths
Step-by-step explanation:
you can replace the decimal pint with an and so that its
eight thousand twenty four and sixty two hundreths
Answer: eight thousand twenty-four and sixty-two hundredths
Step-by-step explanation:
what are all the numbers through 10 and 100 that are divisible by 6 and 9
Answer:
6,12,18,24,36,42,48,5,60,66,72,78,84,90,96
Step-by-step explanation:
got a friend help
What is the length of the unknown side of the right triangle? (1 point)
A right triangle with hypotenuse x and legs 21 and 20
A)21
B)29
C)400
D)441
Answer:
B)29
Step-by-step explanation:
[tex] {x}^{2} = {21}^{2} + {20}^{2} [/tex]
[tex] {x}^{2} = 441 + 400[/tex]
[tex] {x}^{2} = 841[/tex]
[tex]x = \sqrt{841} [/tex]
[tex]x = 29[/tex]
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the two legs, that is
x² = 21² + 20 ² = 441 + 400 = 841 ( take square root of both sides )
x = [tex]\sqrt{841}[/tex] = 29 → B