HELP!
Consider the below equation:
0.5x-7= sqrt(-5x+29)
Give 2 different ways to show that the equation does not have any solutions. One way must be solving algebraically, and the other way must be by graphing.
Answers
Answer:
Algebraically
0.5x-7= √(-5x+29)
(0.5x-7)² = -5x+29
(0.5x)² - 2*0.5x*7 + 7² = -5x+29
0.25x² - 7x + 49 + 5x - 29 = 0
0.25x² - 2x + 20 = 0
Its discriminant is:
b² - 4*a*c
(-2)² - 4*0.25*20
-16 < 0
Therefore, the equation has no solutions.
Graphically
In the picture attached, the plots of the functions are shown. We can see that they don't intersect each other, and that is why there is no solution.
Related Questions
Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5% per year. What interest does he earn at the end of 1 year?
-must haves :)..
right answer.
makes sense.
step by step.
^I will mark someone the brainliest when someone answers this, thank youuu:)
Answers
Answer:
$60
Step-by-step explanation:
1200*0.05 = $60
if 2x/5 = 4 what is x
Answers
Answer:
x = 10
Step-by-step explanation:
Given
[tex]\frac{2x}{5}[/tex] = 4 ( multiply both sides by 5 )
2x = 20 ( divide both sides by 2 )
x = 10
2x/5 = 4
2x/5 * 5 = 4*5(multiplying on both sides with 5)
2x = 20
2x/2 = 20/2(dividing on both sides by 2)
x = 10
Hope you get the answer
There were 70 employees working at a rental company. This year the number of employees increased by 10 percent. How many employees work for the rental company this year?
Answers
15−x+y=14−(−x−y) help plz
Answers
Answer:
[tex]x=0.5[/tex]
[tex]y=anything[/tex]
Step-by-step explanation:
15−x+y=14−(−x−y)
15-x+y=14+x+y
Subtract 14 from both sides
1-x+y=x+y
Subtract y from both sides
1-x=x
Add x to both sides
1=2x
2x=1
Divide both sides by 2
x=0.5
Need help with this pls
(Show work pls!!)
Answers
Isosceles triangles have to equal sides
and each side is 5 cm greater than the base
you know the perimeter is 46
i would use basic algebra
x = base
46 = 2(x +5) + x
the 2(x +5) is the equal sides
46 = 2(x+5) + x
using distributive property
46 = 2x + 10 + x
add the common variable
46 = 3x + 10
now it’s easy
3x = 46 - 10
3x = 36
x = 36 / 3
x = 12
now that we got x (base)
we know that the equal sides are 5 cm longer than the base
12 + 5 = 17
since there are 2 sides and they are equal they are both 17
so each side of the triangle would be
1. 17 cm
2. 17 cm
3. 12 cm
to check you should be able to add them all together and get 46
17 + 17 + 12 = 46
Answer:
46
Step-by-step explanation:I know this because I have done this before!
Simplify i^12
A. -1
B. -i
C. i
D. 1
Answers
Answer:
D
Step-by-step explanation:
Answer:
D. 1.
Step-by-step explanation:
We know that the powers of the imaginary constant, i, follow a certain pattern.
i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1.
Every 4 powers, the result cycles back to the original i. This is because there are only 4 unique digits that result from raising i to various powers.
To figure a higher power, such as 12, we need to take the remainder of the power when divided by 4 (the amount of unique answers), to simplify it to the original 4 powers.
So when you have i^12 power, the remainder is 0. This is because 4 is a factor of 12. As a result, we can simplify this to i^8, and therefore i^4, which equals 1.
I hope this helps!
Translate the sentence into an equation.
The sum of 8 times a number and 9 is 2.
Use the variable for the unknown number.
Answers
Answer:
x=-0.875
Step-by-step explanation:
Into an equasion it would be: 8•x+9=2
Let's solve for x:
1. 8x+9=2
2. 8x=2-9
3. 8x=-7
4. x=-0.875
A train goes at a constant speed. If it covers 150 miles in 2/1 2 hours,
e
How long would it take for that train to cover 270 miles?
Answers
Answer:
x =4.5 hours
Step-by-step explanation:
We can use ratios to solve
150 miles 270 miles
--------------- = --------------
2.5 hours x miles
150 *x = 270*2.5
Divide each side by 150
150x/150 = 270*2.5/150
x =4.5 hours
Jason and his brother each have the equal probability of being randomly selected to wash dishes after dinner. Jason wants to simulate the probability that more than 4 evenings will go by without him having to wash the dishes after dinner. He decides to conduct a simulation by flipping a quarter, with heads representing an evening where he washes dishes after dinner and tails representing an evening of not doing dishes after dinner. He keeps flipping until he flips heads and records the number of flips that were needed. For example, if two flips are needed to get heads, this indicates that he washes dishes on the second evening. He repeats this 50 times and records the data on the table below Number of flips until getting heads: 1,2,3,4,5,6,7,8 frequency: 21,18,4,4,2,0,0,1 Based on the results of the simulation, what is the probability that more than 4 evenings will go by without Jason having to wash dishes after dinner? [blank] %
Answers
Answer:
The probability that more than 4 evenings will go by without Jason having to wash dishes after dinner is 0.06.
Step-by-step explanation:
We are given that Jason wants to simulate the probability that more than 4 evenings will go by without him having to wash the dishes after dinner.
He repeats this 50 times and records the data on the table below;
Number of flips until getting heads Frequency
1 21
2 18
3 4
4 4
5 2
6 0
7 0
8 1
Total 50
Now, we have to find the probability that more than 4 evenings will go by without Jason having to wash dishes after dinner.
This will happen only when the Number of flips until getting heads is 5, 6, 7 or 8 as only then Jason will have more than 4 evenings go by without washing dishes after dinner.
So, required probability = [tex]\frac{2}{50}+\frac{0}{50}+\frac{0}{50}+\frac{1}{50}[/tex]
= [tex]\frac{3}{50}[/tex] = 0.06
If the distance on a map is 2cm and it represents 50 meters what is the Scale Factor?
Answers
Answer:
25:1
Step-by-step explanation:
for every 1cm on the map it is 25 meters in real life
Answer:
25:1
for every 1cm on the map it is 25 meters in real life
2cm/50= 1cm/25 = simplest form
Does anyone know the answers please help!
Answers
Answer:
I am sick
Step-by-step explanation:
Name two red lines in the diagram that appear to be perpendicular.
A. ST and SP
B.
РО and
SR
C. PQ and UT
D. No red lines are perpendicular.
Answers
Answer:
A
Step-by-step explanation:Hopes this helps
Allen Tennis Inc. pays its employees on a piece-rate basis of $0.25 for each tennis ball they produced. Boris Becker produced 2,664 Tennis balls. What was his gross pay?
Answers
Answer:
$666
Step-by-step explanation:
I think you just need to do 2664×0.25 ( which you can do it on a calculator ) , is
$666
Answer:
666
Step-by-step explanation:
Because u multiply 2664 by .25
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $4.50 and each adult ticket sells for $8. The auditorium
can hold no more than 84 people. The drama club must make at least $560 from
ticket sales to cover the show's costs. If 29 student tickets were sold, determine all
possible values for the number of adult tickets that the drama club must sell in order
to meet the show's expenses. Your answer should be a comma separated list of values.
If there are no possible solutions, submit an empty answer.
Answers
Answer:
The minimum number of adult tickets required to be sold = 54
Step-by-step explanation:
Hello,
In this question, we have several variables which might confuse us here, so I'll have to break it down bit by bit.
The drama club must make a sale of $560 so as to cover cost for the event.
The seat capacity of the hall = 84
Cost of tickets for adult = $8
Cost of tickets for students = $4.50
Total number of students sold = 29
Let the number of adult ticket required = x.
(4.50 × 29) + (8 × x) = 560
130.5 + 8x = 560
8x = 560 - 130.5
8x = 429.5
Divide both sides by 8
X = 429.5 / 8
X = 53.6 approximately 54.
Minimum required number of adult tickets to be sold is 54.
(29 × 4.50) + (54 × 8) = $130.5 + $432 = $562.5
Answer:
{54,55}
Step-by-step explanation:
just had that problem and showed me the answer
Find positive integer x, if 1+2+3 +...+x=120.
Answers
Answer:
x = 15
Step-by-step explanation:
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 +13 + 14 + 15 = 120
The number x is a positive integer.
Value of positive integer [tex]x[/tex] is equals to [tex]15[/tex].
What is integers?" Integers is defined as collection of whole numbers and negative numbers."
Formula used
Sum of first [tex]'n'[/tex] natural numbers
[tex]S_{n} = \frac{n(n + 1)}{2}[/tex]
According to the question,
Given positive integers,
[tex]1 + 2 + 3 + ......... + x =120[/tex]
Substitute the value in the formula to get sum of positive integers,
[tex]\frac{x(x+ 1)}{2}=120\\\\\implies x^{2} +x =240\\\\\implies x^{2} + x-240 =0\\\\\implies x^{2} +16x-15x -240=0\\\\\implies x (x+16) -15 (x+16) =0\\\\\implies (x+ 16) (x-15) =0\\\\\implies x = -16 or x =15[/tex]
[tex]'x'[/tex] is a positive integer. [tex]x=-16[/tex] is not possible.
Hence, Value of positive integer [tex]x[/tex] is equals to [tex]15[/tex].
Learn more about integers here
https://brainly.com/question/15276410
#SPJ2
Find the mistake made in the steps to solve the equation below. A. Step 2 is incorrect and should be . B. The justification for step 3 is incorrect and should be the multiplication property of equality. C. Step 3 is incorrect and should be . D. The justification for step 2 is incorrect and should be the subtraction property of equality.
Answers
Answer:
C: Step 3 is incorrect
Step-by-step explanation:
Answer:
step 3 is wrong
Step-by-step explanation:
Customers can pick their own apples at the Happy Apple Farm. They pay $5
to enter the farm and S2.50 per pound for the apples they pick. Write an
equation to model the total cost, y, for x pounds of apples.
O A. y = 5x + 25
B. y = x(2.5 + 5)
c. y = 2.5x + 5
O D. y = 2.5(x + 5)
Answers
Answer: C
Step-by-step explanation:
For this problem, we know that customers already have to pay $5 just to enter the farm. The $5 is basically a flat fee. Our equation would be:
y=5+____
Now, we know that the apples cost $2.50 per pound. Our final equaiton would be:
y=5+2.5x
What is 2+3+4+5+6 and dived by 2 I know the answer but I want to give people my point.
Answers
Answer:
10.
Step-by-step explanation:
(2+3+4+5+6) / 2
= 20/2
= 10.
Answer:
10
Step-by-step explanation:
2+3+4+5+6
------------------
2
20
-----
2
= 10 (ANS)
Also thanks for being kind not for the points but for being kind
Hope my "Unknown Answer" helps you
Can I be your friend
Please help me really quick !!!!!!!!!!!!!!!!!!
Answers
Answer: 18 units
Step-by-step explanation: m to l is 6 as well as j to k so that is 12. J to m is 3 and as well as k to l so its 6. 12+6 is 18. The perimeter is 18
Answer:
The perimeter is 16 units
Step-by-step explanation:
From J to M its 3units plus K to L is 3units from J to K is 5 plus M to L is 5 units adding up to 16 units.
Which is the equation for a sphere with the center (8,-6,6) and radius 6?
Answers
Answer:
(x - 8)² + (y+6)² + (z-6)²= 36
Step-by-step explanation:
To find the equation for a sphere with the center (8,-6,6) and radius 6, we will follow the steps below;
first write down the standard equation of a sphere:
(x - h)² + (y-k)² + (z-l)²= R²
where h, k and l are the center and R is the radius
From the question given, h = 8, k =-6 l=6 and R=6
we can now substitute the values into the formula
(x - h)² + (y-k)² + (z-l)²= R²
(x - 8)² + (y+6)² + (z-6)²= 6²
(x - 8)² + (y+6)² + (z-6)²= 36
Therefore, the equation for a sphere with the center (8,-6,6) and radius 6 is
(x - 8)² + (y+6)² + (z-6)²= 36
Antonio wants to build a cube-shaped storage container that holds 216 cubic inches of water for some frogs he recently purchased.
Using the formula,V=s3, where V represents the volume of the container andsrepresents its side length, find the length of one side of the container.
Answers
Answer: a = 6 inches
Step-by-step explanation:
a = V^1/3
10 years ago, the ratio of Jeremy's age to randy's age to Kadens's age was 4:3:1. The sum of their present age is 102. Find Randy's age now.
Answers
Answer:
Randy: 38.25
Step-by-step explanation:
J 4×12.75= 51
R 3×12.75= 38.25
K 1×12.75= 12.75
51+38.25+12.75=102
Answer: 37
Step-by-step explanation: TEN years ago : 4+3+1 = 8 TEN years ago (102-30) = 72 72/8 = 9
Randy was 3 * 9 = 27 ten years ago now he is 37 y/o
Use the graph of g to solve.
Find g(-16)
Answers
Answer:
g(-16) = 6
Step-by-step explanation:
We want the value of the function when x = -16
The function is constant from x = -8 to the left. The value is 6
g(-16) = 6
Answer:
g(-16) = 6
Step-by-step explanation:
The upper horizontal line with an arrow to the left means that the value of function g remains at 6 from x = -8 as it approaches negative infinity. Since -16 is in the interval from -8 to -infinity, then
g(-16) = 6
Is it true or false ...help please
Answers
Answer: TRUE
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
A^2+B^2=C^2
pls help I dont know how to work it out
Answers
Answer:
10 red, 35 blue
Step-by-step explanation:
2/9 of the 45 marbles must be red.
2/9 * 45 = 10
Answer:
10
Step-by-step explanation:
let's make the number of red marbles x
so probability of getting red marbles is x/45
so;.
[tex] \frac{x}{45} = \frac{2}{9} [/tex]
[tex] 45 \times \frac{x}{45} = \frac{2}{9} \times 45[/tex]
[tex]x = \frac{2}{9} \times 45[/tex]
[tex]x = 10[/tex]
so the number of red marbles is 10
ULICU OSGUSIETI
00:00
Brice is finding the sum of 468 and 241 by breaking it into smaller problems.
He uses place value and finds the sums of the hundreds, tens, and ones.
What is the sum of the tens? Enter your answer in the box.
Answers
Answer:
[tex]Sum = 100[/tex]
Step-by-step explanation:
Given
468 and 241
Required
Sum of the Tens
Breaking 468 to smaller bits; we have
Hundred = 400
Tens = 60
Units = 8
Breaking 241 to smaller bits; we have
Hundred = 200
Tens = 40
Units = 1
The question requests for the sum of the Tens;
The sum of the tens goes thus;
[tex]Sum = Tens_{468} + Tens_{241}[/tex]
[tex]Sum = 60 + 40[/tex]
[tex]Sum = 100[/tex]
Hence, the sum of tens of 468 and 241 is 100
Does this graph show a function? Explain how you know.
O A. No; there are y-values that have more than one x-value.
OB. Yes, there are no y-values that have more than one x-value.
O C. No; the graph fails the vertical line test.
O D. Yes; the graph passes the vertical line test.
Answers
Answer:
The answer is C.
Step-by-step explanation:
No because the graph fails the vertical line test.
Answer: No; the graph fails the vertical line test
Step-by-step explanation:
18. The equations 6x + 5y 300 and 3x + 7y = 285
represent the
money collected from selling gift
baskets in a school fundraising event. If x represents
the cost for each snack gift basket and y represents
the cost for each chocolate gift basket, what is the
cost for each chocolate gift basket?
A) $20 B) $25 C) $30 D) $54
PLS HELP ME ASAP!
Answers
Answer: The cost for each chocolate gift basket is b)$25.
Step-by-step explanation:
Hi, the correct equations are:
6x + 5y =300
3x + 7y = 285
So, if we multiply the second equation by 2, and subtract the first equation to the second equation:
6x +14 y= 570
-
6x +5y =300
_________
9y = 270
Solving for y:
y = 270/9
y = 30
Substituting y=30 on any equation:
6x + 5y =300
6x + 5(30) =300
Solving for x (cost for each chocolate gift basket)
6x+150 =300
6x =300-150
6x = 150
x =150/6
x = $25
What is the length of AB?
Answers
Answer:
AB =12
Step-by-step explanation:
Since the base angles are the same, the sides are the same length
4x = 2x+6
subtract 2x from each side
4x-2x = 2x+6-2x
2x = 6
Divide by 2
2x/2 =6/2
x =3
AB =4x
=4(3)
AB =12
HELPPPPPPPPPPPPPPPPPPPPPPPPP
Which equation correctly demonstrates the distributive property?
A. 6(4 - 3w) = 24 - 3w B. 6(4 - 3w) = 24 + 3w
C. 6(4 - 3w) = 24 + 18w D. 6(4 - 3w) = 24 - 18w
Answers
We need to use this formula:
a(b+c)=ab+ac
[tex]6(4-3w)=6\times4-6\times3w=24-18w[/tex]
Answer: D
Answer:
D will be your answer!
Step-by-step explanation:
I hope this helps!
