The roots of a quadratic equation are the values of x that make the equation equal to 0.
The general form of a quadratic equation is [tex]ax^2[/tex] + bx + c = 0, where a, b, and c are constants.
To find the roots of the equation [tex]ax^2[/tex] - 16 = 0, we can use the quadratic formula:
x = (-b +/- sqrt(b^2 - 4ac))/(2a)
In this case, a = 1, b = 0, and c = -16. Plugging these values into the quadratic formula, we get:
x = (-0 +/- sqrt(0^2 - 41(-16)))/(2*1)
x = (-0 +/- sqrt(256))/(2)
x = (-0 +/- 16)/(2)
The roots of the equation are x = 8 and x = -8.
The complete question is:-
What are the roots of the quadratic equation x2 − 16 =0?
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If m 4 = 44, the m 8=
Answer:
I think it's 88.
Step-by-step explanation:
4 x 11 = 44
8 × 11 = 88
Hope that helped :)
PLEASE HELP ILL GIVE BRAINLIEST
SHOW WORK
Answer:
choice 1) $21.90
Step-by-step explanation:
30% of $72.99 = 0.3(72.99) = $21.90
Answer:
21.90
Step-by-step explanation:
When converting a linear equation into Slope Intercept form, what is our main goal? Vour answer
Answer:
You have to make sure the y= is always on the left side and so it looks like ,y=mx+b. m=slope, x=independent variable and b = y intercept.
Step-by-step explanation:
Hope it helps :)
In a school election, 100 students submit ed a ballot voting for either Patrick or Britney. After counting all the votes, Britney received 56 more votes than Patrick. How many students voted for Patrick?
Answer:
22 students
Step-by-step explanation:
Create a system of equations where p is the number of students that voted for Patrick, and b is the number that voted for Britney
p + b = 100
b = p + 56
Solve by substitution by plugging in p + 56 as b in the first equation
p + b = 100
p + p + 56 = 100
Solve for p:
2p + 56 = 100
2p = 44
p = 22
So, 22 students voted for Patrick
Patrick sold 22 ballots.
22+56=78
22+78=100
PLS HELP ME ASAP ILL GIVER BRAINliest
Answer:
Step-by-step explanation:
A store purchased a chair for $10.00 and sold it to a customer for 50% more than the purchase price. The customer was charged 7% tax when the chair was sold. What was the customer's total cost for the chair? I
Answer:
$16.05
Step-by-step explanation:
50% of 10.00
0.50 x 10.00 = 5.00
10.00 + 5.00 = 15.00
7% of 15.00
0.07 x 15.00 = 1.05
15.00 + 1.05 = 16.05
Find the area and circumference of the circle. Use 3.14 for A.
4.5 in.
Area______
Circumference____
Answer:
A = 63.59
C = 28.26
Step-by-step explanation:
r = 4.5
Area of a circle:
A = πr²
A = 3.14(4.5²)
A = 3.14(20.25)
A = 63.59
Circumference:
C = 2πr
C = 2(3.14)(4.5)
C = 28.26
The ratio table shows the costs for different amounts of bird seed. Find the unit rate in dollars per pound. The unit rate is $ per pound
Answer: The rate is $1.25 per pound.
Step-by-step explanation:
the roots of f(x)=-2x^2+8x+13 are __________and __________ the vertex of the parabola is at _________
Answer:
roots: 2 ± (1/2)√42
-8
axis of symmetry: x = -b/(2a) is x = ---------------- = 2
2(-2)
vertex: (2, f(2) ) = (2, -2(2)^2 + 8(2) + 13 ), or (2, 21)
Step-by-step explanation:
First, let's determine the roots of this quadratic, using the quadratic formula. Here the coefficients are -2, 8, 13.
Thus, the discriminant b^2 - 4ac is 8^2 - 4(-2)(13), or 64 + 104, or 168. Because the discriminant is positive, we know that there are two different real roots.
They are:
-8 ± √168 -8 ± 2√42
x = --------------------- or x = --------------------- = 2 ± (1/2)√42
-4 -4
Write a PARAGRAPH
explaining how the volume
of a sphere in real-world
and mathematical
problems.
Step-by-step explanation:
The volume of the mathematical cylinder is the amount of space what will fit inside. You can you can use the formula for the mathematical problems to find the amount. It's like, "Example" to find the volume of a cone, you need to plug in the measurement for the height of the cone and the radios of the base of the formula for the volume of the cone. The you just need to simply it to get your answer..................
What is the equation of the line shown in the graph?
Answer:
-1/5
Step-by-step explanation:
I couldn't tell whether or not your question was asking for either the slope intercept form or just the slope.
Your answer would be: y = -1/5x + 3 [if your question is asking for the slope intercept form]
OR
Your answer would be: -1/5 [if your question is asking for just the slope]
I need help on 19 and 20. Please help me. Please don’t put a link. Please help me.
Answer:
19:
4 < third side < 14
20:
3 < third side < 13
Step-by-step explanation:
hint: go to http://www.17 28.org/trianinq.htm
(fix the space between 17 and 28)
you're welcome xx
The equation of the line shown in the graph is y = ?.
I need help with this
what do you need help with?
i would be happy to help you.
Sam's two new aquariums each hold exactly 200 gallons of water.One aquarium will hold small fish and the other will hold large fish. Now he needs new fish for his aquarium.He will buy 5 small fish for every 10 gallons of water in the aquarium.He will buy 8 large fish for every 40 gallons of water in the aquarium.What is the total number of fish Sam will have? What will be the ratio of Sam's small fish to large fish? Could the ration be 25 small fish for every 10 big fish?
Answer:
100 small fish will be in 200 gallons of water. 40 large fish will be in 200 gallons of water.
Step-by-step explanation:
200/10=20
20*5=100 small fish
200/40=5
5*8=40 large fish
100+40=140 total fish
small fish/large fish=100/40=10/4=5/2 is the ratio
1/2 4² - 6
find the value
Answer:
2
Step-by-step explanation:
(1/2) 4^2-6
(1/2) 16-6
8-6
=2
Ayuden porfa . Determine 4 ala potencia x + 4 la potencia -x si se sabe que 2 ala potencia x + 2 ala pontecia -x es igual a 3
Answer:
4ˣ + 4⁻ˣ es igual a 7
Step-by-step explanation:
4ˣ + 4⁻ˣ
Dónde;
2ˣ + 2⁻ˣ = 3
Nosotras tenemos
[tex]2^x + \dfrac{1}{2^x} = 3[/tex]
[tex]2^{2\cdot x} +1 = 3 \cdot 2^x[/tex]
[tex]2^{2\cdot x} - 3 \cdot 2^x +1 = 0[/tex]
Deje que 'a' represente 2ˣ, tenemos;
a² - 3·a + 1 = 0
a = (3 ± √(3² - 4 × 1 × 1))/2 = (3 ± √5)/2
∴ a = 2ˣ = (3 ± √5)/2
((3 ± √5)/2)^2 - 3×(3 ± √5)/2 + 1
x = ln(3 ± √5)/2/(ln(2))
4ˣ + 4⁻ˣ = 4^(ln((3 ± √5)/2)/(ln(2))) + 4^(-(ln((3 ± √5)/2)/(ln(2)))) = 7
∴ 4ˣ + 4⁻ˣ = 7.
The price of a shirt is $42. The sales tax is 6.5%. What is the final cost for the shirt?
$2.73
$44.16
$44.73
$2.16
1 ≥ x - 9
Find out what x means.
Carlos needs to build a fence for his chickens. The area he wants to build a fence around is 40 feet long and 20 feet wide. How many feet of fence does he need to buy? (Hint: 40x2 + 30x2)
the answer is 140 calculate so umm yeah duh I mean 280 lets go baby!!!!
If using the method of completing the square to solve the quadratic
equation x2 + 20x – 6 = 0, which number would have to be
added to "complete the square"?
Answer:
100
Step-by-step explanation:
20/2= 10 and 10 squared is 100 but you have to move the -6 to the opposite side
The number required to add to the equation x² + 20x - 6 is 106
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 = x² + 20x - 6 = 0
Now , to make the equation as a perfect square,
The number to be added to the equation is 106
Adding 106 to the equation , we get
A = x² + 20x - 6 + 106
On simplifying the equation , we get
A = x² + 20x +100
Now , the equation can be factorized as
A = ( x + 10 )²
A = 0
( x + 10 )² = 0
x = -10
Hence , The number required to add to the equation x² + 20x - 6 is 106 to make it a perfect square
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As part of a class project, Sarah and Geoffrey conducted a survey asking their peers whether they planned on taking a music class the next year.
of the 90 students they surveyed, 43 responded favorably. Sarah and Geoffrey calculated the margin of error for different confidence intervals.
Their work is shown.
Sarah
Geoffrey
95% confidence:
90% confidence
0.48(1 - 0.48
ME = 1.96 V
90
(8) 1 - 3
ME = 1.65V
133
Which student incorrectly found the margin of error and why?
O A Geoffrey incorrectly found the margin of error because he used the wrong critical value.
OB. Geoffrey incorrectly found the margin of error because he used the wrong sample size.
OC. Sarah incorrectly found the margin of error because she used the wrong sample proportion.
OD. Sarah incorrectly found the margin of error because she used the wrong critical value.
Answer:
Geoffrey incorrectly found the margin of error because he used the wrong sample size.
Please give me brainliest, I really need it.
daniel uses a 20.00 bill to purchase an item that costs d dollars. Write an equation to represent the amount of chnage c that he should receive? Also, what is the solution?
Equation:
c = 20.00 - d
Solution:
c = 20.00 - 8.49
c = 11.51
What is 0.44% of 625?
Answer:
2.75 i believe
Answer:
2.75
Step-by-step explanation:
[tex]625*\frac{0.44}{100} =2.75[/tex]
There are 100 centimeters (cm) in every meter (m).
Complete each of the tables and find the constant of proportionality.
Answer:
sorry
where is the table
Step-by-step explanation:
plz send detailed question
The constant of proportionality of 100 cm in 1 meter is 0.01
How to determine the constant of proportionality?The statement is given as:
100 cm in 1 meter
Rewrite as:
x cm in y m
Express as ratio
100 : 1 = x : y
Express as fraction
100/1 = x/y
Divide
100 = x/y
Make y the subject
y = x/100
Divide
y = 0.01x
A direct proportion is represented as y = kx
Where k represents the constant of proportionality.
So, we have:
k = 0.01
Hence, the constant of proportionality is 0.01
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2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.
What can be said about the data for the snowfall in each resort? Check all that apply.
Answer:
2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.
Step-by-step explanation:
Answer:
ab 50 and ab 75
Step-by-step explanation:
Solve it please 25 Points!
IXL math help please
Answer:
(√50+15/2)/2=√50/2+15/4=7.28
√8+4=6.82
π+4=7.14
13√80/16=7.26
3π-2=7.424
√30+1.8=7.277
Step-by-step explanation:
√30+1.8 is nearly equal to√30+1.8&13√80/16
so
√30+1.8& 13√80/16 can be apply.
Use technology or a z-score table to answer the question.
The scores on a memory test are normally distributed with a mean of 100 and a standard deviation of 25. Consider a group of 400 people who take the test.
How many people will score 90 or less?
63
138
180
262
Answer:138
Step-by-step explanation:
I just took the test
The number of people who score 90 or less is 138, option B is correct.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Let us find the proportion of people in the group of 400 who score 90 or less on the memory test.
Given that the scores are normally distributed with a mean of 100 and a standard deviation of 25.
Using a z-score table, we can find the z-score corresponding to a raw score of 90 as follows:
z = (90 - 100) / 25 = -0.4
The area under the standard normal distribution curve to the left of z = -0.4 is 0.3446, which represents the proportion of people who score 90 or less on the memory test.
Therefore, the number of people who will score 90 or less is:
0.3446 x 400 = 137.84
Hence, the number of people who score 90 or less is 138, option B is correct.
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I need help with these question! Please do step by step-
Answer:
There are 47 Borogroves and 35 Mome raths
Step-by-step explanation:
Here, given the number of legs, we want to find the number of each type of animals
Let the number of borogoves be b and the number of mome raths be m
From the question, there are 82 creatures;
Thus;
m + b = 82 ••••••••(i)
the total number of legs by b borogroves will be b * 2 = 2b
the total number of legs by m mome raths will be m * 4 = 4m
the sum of all legs is 234
2b + 4m = 234 •••••••••(ii)
From equation 1, m = 82-b
Substitute this into equation ii
2b + 4(82-b) = 234
2b + 328 - 4b = 234
4b-2b = 328-234
2b = 94
b = 94/2
b = 47
Recall;
m + b = 82
m + 47 = 82
m = 82-47
m = 35