Answer:
[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
Step-by-step explanation:
Given
Quadratic equation is
[tex]x^2-x-2=3\\x^2-x-5=0[/tex]
Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]
So, for the given equation roots are
[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
Eleanor is 12 years younger than mabel. Mabel is 6 years older than izzy. Izzy is twice as old as Patrick. Patrick is 5 years old. What is the combined age of these four people?
Answer:
35
Step-by-step explanation:
E = M - 12
M = 6 + I
I = P x 2
P = 5
I = 10
M = 16
E = 4
pt 2 pls help me with math
Answer:
Step-by-step explanation:
Slope = (6-3)/(2-1) =3
What is the final amount if 784 is decreased by 1% followed by a 4% increase?
Give your answer rounded to 2 D
Answer:
807.21
Step-by-step explanation:
for the 1 % decrease
1/100 × 784 = 7.84
784 - 7.84 = 776.16
then 4% increase
4/100 × 776.16 = 31.0464
776.16 + 31.0464= 807.2064
in 2 Decimal places
807.21
Answer:890
Step-by-step explanation:
Key: 1 lbs=.454 kg how many pounds are in 45 kilograms? Help!!! its past due
Answer:
99.12 lbs are in 45 kilograms.
Step-by-step explanation:
❃We can solve using proportion.
[tex] \frac{1 \: lbs}{.454 \: kg} = \frac{x}{ 45 \: kg} \\ \\ \frac{.454x}{.454} = \frac{45}{.454} \\ \\ x = 99.12[/tex]
➼ I rounded to the nearest hundredth
Can I get some help plz thank u sm
Answer:
x = 72
hope it helps
Put the following numbers in order from least to greatest. 9.201, 9.210, 9.012, 9.0
Answer:
9.0, 9.012, 9.201, 9.210
Step-by-step explanation:
9.0 has no decimal numbers, so it goes at the beginning, 9.012 is the next greatest, then 9.201, and finally, 9.21. Also, a zero at the end of a decimal number adds nothing.
please help! 30 points !!
Answer:
1. C
2. C
Step-by-step explanation:
1. 5x+12=57
Subtract 12 from both sides
5x=45
Divide both sides by 5
x=9
2. 7-4x=12-3x
Combine like terms =
-4x+3x=-12-7
x=-12-7
x=19
How many times should you multiply 15 to equal 60 seconds PLEASE HELP!
Answer:
4 times 15 = 60 answer 4
Step-by-step explanation:
4 times
15+15+15+15=60
what’s the answer and how did you get it? i’m confused
Answer:
The answer is 3.
Step-by-step explanation:
Because you should put the gh with gh, 2 is equivalent to 2 (so the 2 disappeared) and you only have 8-7=1 plus 2=3.
Answer: The given expression is 8g^2h-7gh+2
The degree of 8 g^2 h is 2, 1
The degree of - 7 g h is 1
The degree of 2 is 0
But the degree of expression will the highest degree of the indivisual expression of above i.e 3.
The answer is 3.
given h(x) =2x+2, solve for x when h(x) =4
Answer:
x = 1
Step-by-step explanation:
h(x) =2x+2 h(x) = 4
4 = 2x + 2
4 - 2 = 2x
2 = 2x
x = 2/2
x = 1
Divide. Express each answer as a decimal. 5÷4 4÷5 30÷12 12÷30
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Step-by-step explanation:
Simplify
Topic : Indices
Answer:
[tex] {m}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{ \sqrt{ {m}^{3} } \times {m}^{ \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ { {m}^{ \frac{3}{2} } } \times {m}^{ \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{3}{2} + \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{3}{2} + \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{9 + 4}{2 \times 3} }}{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{13}{6} }}{ {m}^{ \frac{1}{6} } } \\ \\ = {m}^{ \frac{13}{6} - \frac{1}{6} } \\ \\ = {m}^{ \frac{12}{6} } \\ \\ = {m}^{2} [/tex]
What is the slope of a line perpendicular to the line whose equation is X+3y=-15
will mark brainliest! in kite UVWX, m
Answer:
52
Step-by-step explanation:
Solve for sss:
-0.2=s+\left(-0.8\right)−0.2=s+(−0.8)
Answer:
S =0.6
Step-by-step explanation:
-0.2 = s + (-0.8)
-Add 0.8 to each side
There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?
Answer:
The answer is 200
Step-by-step explanation:
Maria has purchased a basic stained glass kit for $100. She plans to make stained glass suncatchers and
sell them. She estimates that the materials for making each suncatcher will cost $13. Model this situation
with a rational function that gives the average cost of a stained glass suncatcher when the cost of the kit
is included in the calculation. Use the graph of the function to determine the minimum number of
suncatchers that brings the average cost below $22.50.
The minimum number of suncatchers that brings the average cost below
$22.50 is
Answer:
Step-by-step explanation:
fixed cost = 100
variable cost = 13
soooo....
cost = (13x + 100)/x
the questions wants to know when cost < 22.50
22.5 > (13x+100)/x
look at graph attached ;)
it looks to me like it's at 11
22.5 > (13(11) + 100) / 11
22.5 > 22.09
try 10
22.5 > (13(10) +100)/10
22.5 > 23 not true so yes.. 11 is when the cost goes below 22.50
Answer:
Y’all the correct answer is 10
A cashier works 40 hours each week, earns $7.50 per hour, and works 50 weeks each year
Answer:
the cashier would have 15000 dollars at the end of the year.
Step-by-step explanation:
is that what you were asking?
Write an equation and solve. Round to the nearest hundredth where necessary.
What is 25% of 96?
A.) n • 0.25 = 96; 384
B.) n = 0.25 • 96; 24
C.) n = 25 • 0.96; 24
D.) n = 25 • 96; 2400
Answer:
see explanation
Step-by-step explanation:
I think its c n=25. 0.96; 24
What is the area of the football field in the scale drawing? Assume that the field is shaped like a rectangle.
Answer:
i mean might as well get free points now that its 2 weeks old
Step-by-step explanation:
Answer:
Pythagorean Theorem: the diagonal of the football field is the hypotenuse. Let´s say the diagonal is C and the two other sides are A and B.
Width = A
Length = B
Diagonal = C
so: a2+b2=c
2502+1002=c2
2500+10000=c2
12500=c2
c=√12500
c=111.80 yards
Step-by-step explanation:
the ambitous jackle
A basket holds at most 14 pounds of apples and oranges. There are at least 3
pounds of apples in the basket. This graph shows the system that represents
this scenario, where x is the weight of the apples and y is the weight of the
oranges.
Which point represents a viable solution?
Answer:
D
Step-by-step explanation:
First, there must be at least 3 pounds of apples in the basket. Apples are the first number, so B and D are our options. As it is impossible to have a negative weight of oranges, D is our answer
The point that represents a viable solution is D(4, 3).
What are systems of inequalities?At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.
The graph shows the system of inequalities:
x + y ≤ 14
x ≥ 3
y ≥ 0
where x is the weight of the apples and y is the weight of the oranges.
We need to find the point that represents a viable solution, which means it should satisfy all three inequalities.
Let's check each option:
A(2, 9):
2 + 9 ≤ 14 (satisfied)
2 < 3 (not satisfied)
9 ≥ 0 (satisfied)
A(2, 9) does not satisfy the second inequality, so it is not a viable solution.
B(3, -2):
3 + (-2) ≤ 14 (satisfied)
3 ≥ 3 (satisfied)
-2 ≥ 0 (not satisfied)
B(3, -2) does not satisfy the third inequality, so it is not a viable solution.
C(1, 14):
1 + 14 ≤ 14 (not satisfied)
1 ≥ 3 (not satisfied)
14 ≥ 0 (satisfied)
C(1, 14) does not satisfy the first inequality, so it is not a viable solution.
D(4, 3):
4 + 3 ≤ 14 (satisfied)
4 ≥ 3 (satisfied)
3 ≥ 0 (satisfied)
D(4, 3) satisfies all three inequalities, so it represents a viable solution.
Therefore, the point that represents a viable solution is D(4, 3).
To learn more about the systems of inequalities;
https://brainly.com/question/19526736
#SPJ7
Solve the equation: 2 (x + 2x) - 36
A) X=-18
B) x = 18
cx = -6
D) x = 6
______________________________
1.) Divide both sides by 2:[tex]2[/tex] ÷ [tex]2=[/tex] Cancels Out[tex]36[/tex] ÷ [tex]2=18[/tex]
- We do this first because we need the get rid of the parenthesis in order to solve this like a regular problem. In this case the only way to do so was to divide by 2 to separate the Number/Variable from the parenthesis.
Equation at the end of Step 1:
[tex]x+2x=18[/tex]2.) Combine x and 2x:[tex]x+2x=3x[/tex]
- We do this because we can't have 2 variables at the end of the equation so it's best to just combine them.
Equation at the end of Step 2:
[tex]3x=18[/tex]3.) Divide both sides by 3:[tex]3x[/tex] ÷ [tex]3=x[/tex][tex]18[/tex] ÷ [tex]3=6[/tex]- We divided for the last step since their was 1 variable connected by a number and another number on the opposite side of the equal.
______________________________
A regulation basketball hoop has a rim with an 18-inch diameter. What is the approximate length around the rim of a regulation basketball hoop? (Use 3.14 for .)
A.
56.52 in
B.
254.34 in
C.
113.04 in
D.
1,017.36 in
Answer:
c
Step-by-step explanation:
if cube has total surface area 150cm sweet, find the volume of the cube
Answer:
i edgggg g t g h tr fe erfg bh hnhy r hrh r r t hth
Step-by-step explanation:
125 cm ans
may be it is helpful
x + 3y = 18
-X - 4y = -25
Answer:
x = -3
y= 7
Step-by-step explanation:
x + 3y=18 ----(1)
-x - 4y=-25 -----(2)
from equation (1)
x = 18 - 3y ---(3)
putting equation (3) into equation (2)
-(18 - 3y) - 4y = -25
18 + 3y -4y = -25
3y - 4y = -25 - 18
-y = -7
y = 7 ✓
Putting y=7 into equation (1)
x + 3(7) = 18
x + 21 = 18
x = 18 - 21
x = -3 ✓
A store is having a sale on office
products. Leo buys 4 notebooks that
have a regular price of $3.30 each. They
are on sale for 20% off the regular
price. How much does Leo pay for the
4 notebooks before sales tax?
A $0.66
B $2.64
C$10.56
D $13.20
Answer:
c. $10.56
Step-by-step explanation:
$3.30 x 4 = $13.20 x 0.20 (20%) = $2.64
$13.20 - $2.64 = $10.56
solve for x each figure is a parallelogram
Answer:
[tex]18x + 8= (180 - 46) = 134 \\ 18x = 126 \\ \boxed{x = 7}[/tex]
7 is the right answer.Can you tell me the definition of the highlighted word please in your own words (Thank you)
Answer:
congruent means similar
Step-by-step explanation:
why didnt you just search it up? lol
congruent means that they are perfectly identical.
Three different bags of pretzels are sold at the store. Which bag of pretzels is the best buy?
Bag A:10 ounces for $1.10
Bag B:12 ounces for $1.38
Bag C: 6 ounces for $0.84
A. Bag A
B. Bag B
C. Bag C
D. Bag A and Bag B are equally good values
Answer:
A: 11 cents per ounce
B: 11.5 cents per ounce
C: 14 cents per ounce
Bag A would be the best buy
first come first serve 25 points answer whatever first will get brainlyiest
Answer:
yo
Step-by-step explanation:
yo
Answer:
thanks dude
Step-by-step explanation:
:)