Answer:
Step-by-step explanation:
f(x) = 16x² - 1
The x-intercepts are the roots, i.e., the values of x for which f(x) = 0.
Use the Quadratic Formula to determine the roots.
x = [0±√0²-4·16(-1)]/[2·16] = ±√64/32 = ±8/32 = ±¼
f(x) = 16(x-¼)(x+¼) = (4x-1)(4x+1)
The function which is equivalent to f(x)=16[tex]x^{2}[/tex]-1 is f(x)=(4x+1)(4x-1) and x intercept lies at (1/4,0),(1/4,0).
What is function?Function is relationship between two or more that are variables expressed in equal to form. In a function each value of x must have a corresponding value of y.
How to solve a function?The function which is being give to us is f(x)=16[tex]x^{2}[/tex]-1 and we have to find the equivalent function that best shows the x intercepts on the graph.
f(x)=16[tex]x^{2}[/tex]-1
We can find the factors of the expression 16[tex]x^{2}[/tex]-1.
f(x)=[tex](4x)^{2} -(1)^{2}[/tex]
=(4x+1)(4x-1) [We know that [tex]a^{2} -b^{2}[/tex]=(a+b)(a-b)]
Now we have to find the x intercept. We know that x intercept is a point at which the line touches the x axis means y coordinate will be zero at that point. So we have to put the value of f(x)=0
(4x-1)(4x+1)=0
It can be like under:
4x-1=0,4x+1=0
x=1/4,-1/4
Hence the function which is equivalent to f(x)=16[tex]x^{2}[/tex]-1 is f(x)=(4x+1)(4x-1) and x intercept lies at two points (-1/4,0,(1/4,0).
Learn more about function at https://brainly.com/question/10439235
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1
Mrs. Johnson wants to give items to her afterschool group. She has 36 prizes and 24 ballons. What is the greatest number of children she can have in her group so that each child gets equal number of prizes, and an equal number of ballons?
2
Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio station plays the song every 24 minutes. Both stations play the song at 3pm. How many minutes will pass before they play the same song again. (Only write the minutes.)
Answer:
1) 12
2) 72
Step-by-step explanation:
1) The GCF of 36 and 24 is 12. So, each child would get 3 prizes and 2 balloons.
2) The LCM of 18 and 24 is 72. When the first radio station is playing the song for the fourth time, the second radio station will play the song for the third time. This will happen 72 minutes after they both play it for the first time.
Answer:
1. 12 children
2. 72 minutes
Step-by-step explanation:
1. Find the GCF of 36 and 24, which is 12
2. Find the LCM of 18 and 24, which is 72
can anyone please help me?
Answer:
x = 1.4 or -1.4
Step-by-step explanation:
→ Substitute y = 4 into y = x² + 2
4 = x² + 2
→ Minus 2 from both sides
2 = x²
→ Square root both sides
√2 = x
→ Simplify
x = 1.4 or -1.4
The number of revolutions made by a bicycle wheel of 28-inch diameter in travelling 1/2 mile is closest to:
(A) 720
(B) 180
C) 360
D) 120
Answer:
C. 360
Step-by-step explanation:
Answer:
C) 360
Step-by-step explanation:
What does point H represent?
Answer:
C
Step-by-step explanation:
For the equation, determine whether the equation is true for all, some, or no values of x.
Explain how you know.
Answer:
You can check if an equation is true for all some or no values of x by simply to try and solve the equation if you get something like x = x, then the equation is true for all, if you get a specific answer like x=3, then it is true to some values, in simple terms. Try and solve the equation there is no other way to check unless you solve, I don't know if there is another way but this is just my intution.
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
111
HELP ME
solve for x
2x+9<2(x+5)
Find the area of the figure in the image attached. Round to the nearest tenth if necessary.
Answer:
186 cm²
Step-by-step explanation:
*First we can move the shape around a bit to make it simpler to solve. If we take the triangle from the left side and move it over to the right, it connects with the other piece to create a rectangle. This leave two rectangles total which is much easier to solve.
*To find the length of the right rectangle, you take the 22 cm at the bottom and subtract the 12 cm (which is being used as the length for the left rectangle). This will give you a length of 10 cm long.
Left rectangle:
A = lh
A = 12 (8)
A = 96 cm²
Right rectangle:
A = lh
A = 10 (9)
A = 90 cm²
Total:
A = 90 + 96
A = 186 cm²
3. Solve for m:
-5m + 3 - 2m = -7m + 4 + m
1
m
12
m =
la
m = -1
m = 1
100 POINTS
My neighborhood is full of one-way streets. To drive from my house to the grocery store, I have to go 1 block south, then 1 block east, then 5 blocks north, then 2 blocks east. Each block is 1/16 of a mile. How much shorter would my trip be if I could fly like a bird (that is, travel in a straight line)?
I FOUND THE distance for non bird which is 9/16. I wanna apply the pythagoreum theorum and draw a straight line to make it a triangle so I can do so but don't know where to place it
Answer:
1/4
Step-by-step explanation:
PLEASE HELP SOON AND TRY TO EXPLAIN.
Prove that if a, b, c, d are non zero real numbers, not all equal, and if a+1/b=b+1/c=c+1/d=d+1/a then |abcd|=1. Thx!
Answer:
because any number over 0 is 0 and if |abcd|=1 that it is not possible to be 0
Step-by-step explanation:
Please help me asap! I will give brainly!
Answer:
Figure 4 : 9 by 4 rectangle
17 red squares is figure 8
51 yellow squares
The pattern is +2 for the length, and the width stays the same. Hope this helped. :)
Answer:
17 rojo
51 amarillo
en el dibujo son 11 rojos y 33 amarillo
Step-by-step eplanation:
HELP MEEEEEEE PLSSSS
helppppppppppppppppppppppppppp
Answer:
I think the answer is a, 15 ft by 10ft
Answer:
15 ft by 10 ft
Step-by-step explanation:
3/4×20=60/4=30/2=15
1/2×20=20/2=10
please give branliest...pleaseAnother question pls have a explaination if you know u are correct
Answer:
11x+30
Step-by-step explanation:
The value of a number whose units digit is x and whose tens digit is three more than the units digit
The number is yx
We know y is x+3
(x+3) *10 +x
Distribute
10x+30 +x
Combine like terms
11x+30
Answer:
i need to upgrade to see the answers
Step-by-step explanation:
Harrison saved $48.97 from his first paycheck and $67.09 from his second paycheck. How much did he save from the paychecks?
Answer:
$116.06
Step-by-step explanation:
48.97 + 67.09 = 116.06
Answer:
$116,06
Step-by-step explanation:
48,97 + 67,09
Help me Guess just help pleaseeeeeeee
Answer:
A, C, D, and F are the rational numbers.
Using the GCF and distributive property, which expressions is equivalent (equal) to 12y + 16
A 2(6y + 80)
B 4(3y + 4)
C 28y
D 16 + 12y
Answer:
4(3y+4)
Step-by-step explanation:
12y + 16
4*3*y +4*4
Factor out 4
4(3y+4)
Answer:
2(6y+80) = 12y+160
4(3y+4) = 12y+16
28y = 28y
16+12y = 12y+16 (did not use distributive property)
So, B is correct.
Let me know if this helps!
please help!!! ive been trying this question for the pass 20 minutes and cant seem to understand it!!
Answer:
D
Step-by-step explanation:
Beacuse ♀️
Answer:
This is a rectangle, so if AB is equal to 3 centimeters, then DC is equal to 3 centimeters.
Since Angle X is equal to 45 degrees, then angle CDE, is also equal to 45 degrees, and we have an isosceles triangle, since angle CDE and DEC are equal to each other.
This means, that CE = DC.
And because E is the midpoint of CB, CE = EB.
So basically, we have:
DC = CE = BE
DC = 3
3 = CE = BE
And we see that CE and BE are both equal to 3, which makes CB equal to 6, which makes solving the area easy. (3 x 6), which is 18.
B is correct!
Someone please help me with this :,D
Answer:
A hostel has provision for 45 students for 30 days.If 15 more students joined the hostel after 6 days,how long will provision last?
Answer:
It's the second answer
Step-by-step explanation:
It's the second question because the pattern is that the amount of food coloring is always 3 times more then the amount of frosting so it's point M because the amount of frosting is 50 so the amount of food coloring has to be 150 according to the ratio.
Please help me! I will give brainly!
Answer:
8
Step-by-step explanation:
You multiply the candies sold, by 8 to get the money raised.
10 times 8 is 80.
20 times 8 is 160
30 times 8 is 240
And so on.
I hope this helps!
pls ❤ and give brainliest pls
Divide money raised by candles sold:
80/10 = 8
160/20 = 8
Etc.
Each candle cost $8
You would multiply the number of candles sold by $8 to find the amount of money raised.
one-half of the people at a game wore hats. two-thirds of those people also wore gloves. one-fourth of those people wearing gloves and hats also wore scarves. 25 of the people had hats and scarves but no gloves. One hundred people had only scarves. If there were 1824 people, how many had scarves
Please give answer as soon as possible
Final Answer: 277 people had scarves.
Step-by-step explanation:
1/2 people wore hats2/3 people wore also wore gloves.1/4 people wore scarves.25 people had hats and scarves. (no gloves)100 people have only scarves.1824 people total1824 / 2 = 912 (Divide by 2 to get the people wearing hats)
912 / 3 = 304 (subtract 304 to get 2/3)
912-304 = 608
608/4 = 152. (people who wore gloves, hats, and scarves.)
152+100+25= 277
Answer:
1111
Step-by-step explanation:
1111223
Answer yes ooh ooh ahaha
Answer:
probably first one but i might be wrong
Step-by-step explanation:
if it has line under its filled circle and the direction the point is facing is where line goes
Answer:
1
Step-by-step explanation:
help pls :( I only need one question to pass
Answer:
The 3rd semi-circle equals 31.
Step-by-step explanation:
Since the Pythagorean Theorem states that "The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)," we can find the answer of the 3rd semi-circle by finding the sum of each of the 2 smaller semi-circles and adding them together.
The following set of numbers is going to be graphed on a histogram.
3, 19, 11, 29, 4, 6, 10, 16, 2, 21, 15, 22, 13, 9, 1, 17, 2, 26, 18, 7
If there are going to be six intervals in the display, what is the length of each interval?
3
4
5
6
Answer:
the answer for your question should be 29 and 3
Please help! I will give brainly
Answer:
y=15x+25, the cost is 205 dollars
Step-by-step explanation:
The simplest way to write a rule for this is to write it in slope intercept form, y=mx+b. Let y represent the cost of the membership. Every month the cost is 15 dollars. If we let x represent the months we can rewrite this as 15x. The one time cost is 25 dollars so we can just add that to the end of the equation. y=15x+25. There are 12 months in a year so we just have to substitute. y=15(20)+25=205 so the answer is 205 dollars.
Which list shows the order of the numbers from greatest to least? List 1: 2.3, 2.03, 2.5, 0.25 List 2: 0.25, 2.5, 2.03, 2.3 List 3: 2.03, 2.3, 2.5, 0.25 List 4: 2.5, 2.3, 2.03, 0.25
Answer:
4
Step-by-step explanation:
2.5, 2.3, 2.03, .25
For the equation, determine whether the equation is true for all, some, or no values of x.
Explain how you know.
−3x=x×−3
Answer:
nothing can be further done with this topic. please check the expression entered or submit a picture for futher understanding
Step-by-step explanation:
Will Mark Brainliest If Correct Answers! Need Some Help Please
Given the expression: 4x10 − 64x2
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answer:
Step-by-step explanation:
a) 4x¹⁰ = 2² * x¹⁰
64x² = 2⁶ *x²
GCF = 2² * x² = 4x²
b) 4x¹⁰ - 64x² = 4x²*(x⁸ - 16)
=4x² *[ (x⁴)² - 4²]
= 4x² * (x⁴ + 4) (x⁴ - 4)
= 4x² * (x⁴ + 4)* [(x²)²- 2²]
=4x² * (x⁴ + 4) * (x² + 2)(x² - 2)
Jane surveys a random sample of 200 students from her middle school to learn what type of school lunch is preferred. The table below shows the result of the survey:
Lunch Type Sandwich Hot Dog Salad
Number of students 84 85 31
Which of the following inferences can be made based on the data?
A sandwich is the most preferred lunch.
A sandwich is two times more popular than a salad.
Sandwiches and hot dogs are almost equally preferred.
A hot dog is almost two times more popular than a salad.
Answer:
Sandwiches and hot dogs are almost equally preferred.
Step-by-step explanation:
When looking at the data, the number of students who chose sandwiches and the number of students in which who chose hot dogs is 1 off and so they are almost equally preferred.
Which system of equations has no solution?
Answer:
B.
[tex]{ \binom{7x - 2y = 9}{7x - 2y = 13} }[/tex]
