The number is always 2, the type depends on the discriminant.
How to find the number of solutions of a quadratic equation?For a general quadratic equation:
ax² + bx + c = 0
We can define the discriminant as:
D = b² - 4ac
And we can have 3 cases:
if D > 0, the quadratic equation has 2 real solutions.
if D = 0, the quadratic has two (equal) real solutions.
if D < 0, the quadratic has 2 complex solutions.
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(5m+100) (2m+10) what is the value of m
Answer:
This is not an equation, so m's value cannot be determined.
Step-by-step explanation:
(22 points and brainlyest)
Why is Gandalf able to save the dwarves from the trolls in The Hobbit?
because he cleverly confuses the trolls until dawn
because he immediately disguises himself as a Warg
because he magically casts a sleeping spell on them
because he was once a troll himself
Answer:
because he cleverly confuses the trolls until dawn
Gandalf was able to save the dwarves from the trolls in The Hobbit because he cleverly confuses the trolls until dawn.
From the story, it should be noted that the dwarves will have been killed by the trolls if not for the help of Gandalf.This wasn't because he magically casts a sleeping spell on them but rather because he cleverly confuses the trolls until dawn. Then, after confusing them, the dwarves escaped.Read related link on:
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The peak of the house formed what type of triangle?
. acute
. equilateral
. obtuse
Answer:
Acute
Step-by-step explanation:
The peak of the house forms acute angled triangle.
The table below represents a breakdown of food costs for Esther, a traveling
nurse. On average, how much does she spend on dinner?
Breakfast
Lunch
Dinner
Mon.
$7 88
$13.41
$18.80
Tue.
$12.02
$11.79
$22. 13
Wed.
$9.64
$14.55
$20 79
Thurs
$6.98
$16.09
$24.82
Fri.
$13 30
$10.76
$16.74
O
A. $20.66
O
B. $12.56
O
C. $10.09
D. $9.96
Answer:
d. 9.96
Step-by-step explanation:
Trust me, I kept googling this for almost an hour.
The Average of the Dinner is 20.66.
What is Average?In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.
The data for dinner is:
18.8, 22.13, 20.79, 24.82, 16.74
The Average of the Dinner is
= ( sum of all data for dinner)/ Total Number of Dinner
As, sum of all data for dinner = (18.8 + 22.13 + 20.79 + 24.82 + 16.74)
=103.28
and, Total Number of Dinner = 5
Now put the values we get
= (18.8 + 22.13 + 20.79 + 24.82 + 16.74) / 5
= 103.28/ 5
= 20.656
= 20.66
Thus, the average of the dinner is 20.66
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Write 10 x 10 x 10 x 10 x 10 as a number without exponents. A) 500 B) 5,000 C) 100,000 D) 500,000
Answer:
Step-by-step explanation:
It would be C) 100,000
An easy way to remember this, is if your multiplying numbers that end in zero; you simply multiply the number in their 10th place together or hundredths (and so on). Then add the numbers you have in the numbers you multiplied, but it only works if both numbers have 0's and the 0's are at the end.
Ex. 60 x 50+ n
6x5=30
3,000
What’s the answer????
Answer:
it would be 20 hope this helps
(65 POINTS AND BRAINLYEST)
What is 5^3in expanded form?
Question 1 options:
5+5+5
3+3+3
5x5x5
3x3x3
Question 2 (1 point)
4^2 = 8
True
False
Question 3
−3^2 = (−3)^2
True
False
Answer:
1) 5×5×5
2) False
3) False
Step-by-step explanation:
5³ basically means 5 is multiplied thrice, i.e
5 × 5 × 5
4² = 4×4 = 16
4² is 16, not 8
(-3)² = -3 × -3 = 9
-(3)² = -9
Answer:
5×5×5
False
False
Please solve this I am sooo confused help meeeee please please please. I will give you 15 points.
Solve the system of the equations:
a.)
3(x+y)−7=12x+y
6(y−2x)−1=−45x
b.)
5(x+2y)−3=3x+5
4(x−3y)−50=−33y
c.)
4x+1=5(x−3y)−6
3(x+6y)+4=9y+19
Answer:
the answer is a
Step-by-step explanation:
Answer:
a. x=-1/3 y=2
b. x=-166 y=34
c. x=16/3 y=-1/9
Step-by-step explanation:
I need help with this question please I’ll mark as brainliest
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (8, - 14), thus
y = a(x - 8)² - 14
To find a substitute (5, 13) into the equation
13 = a(5 - 8)² - 14
13 = a(- 3)² - 14
13 = 9a - 14 ( add 14 to both sides )
27 = 9a ( divide both sides by 9 )
a = 3
Thus
y = 3(x - 8)² - 14 → C
What is the volume of a cone (in cubic inches) with a radius of 6 inches and a height of 3 inches? Use 3.14 for π. Round your answer to the nearest hundredth.
Answer:
113.04 cubic inches
Step-by-step explanation:
V=π * r^2 *(h/3)
V= 3.14 * 36 * (3/3)
V = 3.14 * 36 * 1 = 113.04
Answer:
25.12
Step-by-step explanation:
4.
In Texas, sales tax is 8 cents for every dollar spent. How much will you
owe in sales tax if you buy an item worth $100?
Answer:
It will be $8
Step-by-step explanation:
100x0.08=8
100+8=108
Answer:
$8
Step-by-step explanation:
we mulitiply $0.08 by our money spent,
$0.08X$100
=$8 in sales tax.
How many ways can a committee of 4 people be chosen from a group of 8 people if the members are selected in no particular order?
Answer:
70
Step-by-step explanation:
There are 8 choices for the first member, 7 for the second, 6 for the third, and 5 choices for the fourth member (because once you pick someone as a member, they cannot be picked again)
So you have:
8*7*6*5 = 1680
However, we realize that in this particular problem, order DOES NOT matter. (for example, ABCD is the same as DCBA.)
So we divide 1680 by 4! (4*3*2*1) to end up with 70.
You do this because because there are 4! ways to arrange 4 people in a line, and since order doesn't matter, only one of those arrangements counts.
Find the circumference of both circles.
Answer:
you need to add a photo
Step-by-step explanation:
Answer:
Where are the circles?
Step-by-step explanation:
To find the circumference of the circle you can do 2 times pi times the radius of the circle, or you can change the radius to the diameter and do pi times the diameter of the circle. Hope this helps!
The graph shown is a translation of the graph of f(x) = x². Write the function in
vertex form
F(x) =
Answer:
plz insert the graph, ill revise my answer
Step-by-step explanation:
The sum of three consecutive numbers is 42. What are the three numbers?
Answer:
13,14,15
Step-by-step explanation:
Let x be the first number
x+1 is the second number
x+2 = third number
x+ x+1 +x+2 = 42
Combine like terms
3x+3 =42
Subtract 3 from each side
3x+3-3 = 42-3
3x = 39
Divide each side by 3
3x/3 = 39/3
x = 13
The numbers are 13
13+1 =14
13+2 = 15
Answer:
13,14,15
Step-by-step explanation:
What three consecutive integers have a sum of 42? Which means that the first number is 13, the second number is 13 + 1 and the third number is 13 + 2. Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.
HELP PLEASEEEEEEEEEEEE
Answer:
Just a tip that you can use apps on the computer called Math-way and Math papa for free (Sorry i wasn't able to answer but I tried my best) Hope This helps!
Step-by-step explanation:
A robot that makes __/8 of a boat per day will make 7 boats in 8 days
Answer:
7/8
Step-by-step explanation:
7 represents the # of boats
Answer:
7/8 of a boat
Step-by-step explanation:
Because 7/8*8= 7 boats
Given that
5x:8=7:2
Calculate the value of x
Answer: 5.6
Step-by-step explanation:
5x:8=7:2
Ratio means division
So we can rewrite as
5x/8=7/2
Using cross multiply
5x×2=7×8
10x=7×8
10x=56
X=56/10
X=5.6
The value of X= 5.6
Answer:
x = 5.6
Step-by-step explanation:
Expressing the ratio in fractional form, that is
[tex]\frac{5x}{8}[/tex] = [tex]\frac{7}{2}[/tex] ( cross- multiply )
10x = 56 ( divide both sides by 10 )
x = 5.6
Select the two pairs of values that give the expression a value of 6.
2a + b - 10
Answer:
2a + b = 16
Step-by-step explanation:
You can write it as an equation and get:
2a+b-10=6
Simplify and you can get:
2a + b = 16
Any pair of values that satisfies this equation is correct.
What is the first step to solving the equation 3(6+x)=24
Answer:
1. Distribute the 3
Step-by-step explanation:
3(6+x)=24
You can do one of two things
1. Distribute the 3
3*6+3x=24
Or
you can divide each side by 3
The only reason it is a good choice to divide each side by 3 is that 24 is divisible by 3
3(6+x)/3=24/3
6+x = 8
Either answer is an acceptable 1st step
8 cm
Find the area of the figure. Round
your answer to the nearest
hundredth.
Answer:
128
Step-by-step explanation:
A cylinder has a base radius of 6 inches and a height of 14 inches. What is its volume
in cubic inches, to the nearest tenths place?
Final answer:
The volume of the cylinder is 1580.64 cubic inches.
Explanation:
To find the volume of a cylinder, we can use the formula V = πr²h, where V is the volume, r is the radius of the base, and h is the height.
In this case, the radius, r, is 6 inches and the height, h, is 14 inches.
So, the volume is calculated as follows:
V = π(6²)(14) = 3.14(36)(14) = 1580.64 cubic inches.
Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question.
Which statement about triangle QRS is true?
Triangle QRS is an equilateral triangle because QR = RS.
Triangle QRS is an isosceles triangle because QR = QS.
Triangle QRS is a scalene triangle because all sides have different lengths.
Triangle QRS is an isosceles triangle because QR = RS.
Answer:
Triangle QRS is an isosceles triangle because QR = RS.
Step-by-step explanation:
option D for Edgu hope this helps :)
The length of the given triangle: [tex]QR = 6.003, QS = 8.218, RS = 6.003[/tex].
The given triangle QRS is an isosceles triangle because [tex]QR = RS[/tex].
What is an isosceles triangle?An isosceles triangle is a triangle that has two equal sides.
In the given triangle, the length of the sides are as follows:
[tex]QR = \sqrt{9 + 27.04} = \sqrt{36.04} = 6.003[/tex]
[tex]QS = \sqrt{64 + 3.53} = \sqrt{67.53} = 8.218[/tex]
[tex]RS = \sqrt{25 + 11.04} = \sqrt{36.04} = 6.003[/tex]
(Negative values are not taken)
In the given triangle, [tex]QR = RS[/tex].
Therefore, the given triangle QRS is an isosceles triangle.
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What is the probability of rolling a number greater than 4 on a fair number cube (dice)? (Simplify to lowest terms)
Answer:
1/3
Step-by-step explanation:
there are 2 numbers greater than 4 on dice and there are 6 numbers on a die
Two brownies are shared equally among three friends. How much brownie will each person get? *
Two brownies among three friends.
3/2 is 1.5
So 1.5 for the first friend, 1.5 for another friend, and 1.5 for the other friend.
The sum of -4 and 5 times a number is multiplied by 3. The result is 212 less than 7 times the number. What is the number?
Answer:
104
Step-by-step explanation:
First, put the word equation into a numerical equation.
-4+5x=7x-212 This is our equation
-4=2x-212 I subtracted 5x from both sides
208=2x I added 212 to both sides
104=x I divided both sides by 2
To solve the problem, we can set up an equation and solve for the variable 'x'. The number is x = -25.
Explanation:To solve this problem, we can translate the given information into an equation. Let's assume the number is 'x'. The sum of -4 and 5 times 'x' is -4 + 5x. The equation becomes 3(-4 + 5x) = 7x - 212. We can simplify this equation and solve for 'x' to find the number.
First, distribute the 3 to -4 and 5x, which gives us -12 + 15x = 7x - 212. Then, combine like terms by subtracting 7x from both sides, which gives us -12 + 8x = -212. Next, add 12 to both sides to isolate the variable, resulting in 8x = -200. Finally, divide both sides by 8 to solve for 'x'. The number is x = -25.
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A weight is suspended from a spring and allowed to hang at its rest position. It is then pulled down 2 in, released, and allowed to oscillate up and down. Its location (in inches) relative to its rest position is given by the function f(t)=2sin(2.5t - pi/2), where t is the time in seconds. How much time will it take for the weight to move through one complete cycle of motion? A.) 2.5 seconds B.) 3.1 seconds C.) 3.8 seconds D.) 5.0 seconds
what percent of 3,201= 2,750
Answer:
86%
Step-by-step explanation:
1) divide 2750 by 3201 to get a part/whole ratio for a percent
2) divide and get 85.91%
Answer:
x = 85.9%
Step-by-step explanation:
Step 1: Make an equation
[tex]3201 * x = 2750[/tex]
[tex]3201x = 2750[/tex]
Step 2: Divide both sides by 3201
[tex]3201x / 3201 = 2750 / 3201[/tex]
[tex]x = 0.859...[/tex]
Step 3: Convert to percentage
[tex]x = 0.859... * 100[/tex]
x = 85.9%
Answer: x = 85.9%
Write v = 2x2 + 12x +1 in vertex form.
A. y = (x+3)2 - 17
B. y = (x+4)
C. y=2(x+3)2 – 17
D. y = 2(x + 2)2 + 12
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = 2x² + 12x + 1
To express in vertex form use the method of completing the square.
The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x
y = 2(x² + 6x) + 1
add/ subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9) + 1
= 2(x + 3)² - 18 + 1
= 2(x + 3)² - 17 → C
Answer:
answer : C 2(x-3)²-17
Step-by-step explanation:
hello :
answer : C 2(x-3)²-17
calculate : 2(x-3)²-17 = 2(x²-6x+9)-17 = 2x²-12x+18-17
2(x-3)²-17 = 2x²-12x+1.....(right)
someone anyone please help me
Answer:
I am not answering that lol
Step-by-step explanation: