33) Given the graphs of f(x) = x - 1 and g(x) = -x - 7, what is the solution to the equation f(x) = g(x)?
A)-1
B) - 3
C) - 4
D) - 7
Answers
Answer:
B
Step-by-step explanation:
The solution is the point of intersection of the 2 lines
The lines intersect at (- 3, - 4 ), then
f(x) = g(x) has solution x = - 3
Related Questions
abby has let out 42 meters of kite string when she observed that her kite is directly above christiana. if abby is 8.5 meters from christina what is the angle of elevation of the kite
Answers
Answer:
78 degrees
Step-by-step explanation:
this is a situation where you have a right triangle and know the hypotenuse and adjacent side lengths, so you can use cos⁻¹
cos⁻¹(8.5/42) = 78.3 degrees
when camping alone , mr adam uses all of the water in 12 days, then when mrs adams and mr adams camp together they use all of the water in storage in 8 days. if mrs adams camps alone in how many days will she use all of the water?
Answers
Using the together rate, it is found that if Mrs Adams camps alone, she will use all the water in 24 hours.
What is the together rate?The together rate is the sum of each separate rate.
In this problem, the rates are:
Together: 1/8.Mr Adam: 1/12.Mrs Adams: 1/x.Hence:
[tex]\frac{1}{12} + \frac{1}{x} = \frac{1}{8}[/tex]
[tex]\frac{x + 12}{12x} = \frac{1}{8}[/tex]
[tex]12x = 8x + 96[/tex]
[tex]4x = 96[/tex]
[tex]x = \frac{96}{4}[/tex]
[tex]x = 24[/tex]
If Mrs Adams camps alone, she will use all the water in 24 hours.
More can be learned about the together rate at https://brainly.com/question/25159431
Answer:
2. Tommy's mom asked him to help her clean the house. His mom has asked him
to sweep his bedroom floor, the laundry room, and the kitchen. He estimates
that it is going to take him 10 minutes to sweep out each room. About how
many minutes will it take Tommy to help his mom
Answers
Answer:
it will take Tommy 30 minutes
Answer:
It'll take him 30 minutes.
Step-by-step explanation:
He estimates that it'll take 10 minutes for each room. His mom asked him to sweep 3 rooms. If you take 10 and multiply it by 3, you get 30.
Which statement is true?
[tex] \frac{2}{5 } = 0.4[/tex]
[tex]20\% = \frac{1}{2} [/tex]
[tex]0.3\% = 0.03[/tex]
[tex]8.6 = 0.086\%[/tex]
Answers
Answer:
This is the right one that's true
[tex] \frac{2}{5 } = 0.4[/tex]
[tex]8.6 = 0.086\%[/tex]
There are 8 books lettered A-H on
the shelf. If Scott randomly chose
two books, what is the probability
that he chose books A and B?
Answers
Therefore, the probability that Scott chose books A and B is 1/28.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event will not occur and 1 means that the event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in many areas of mathematics, science, economics, and everyday life to help make predictions, decisions, and inferences.
Here,
The total number of ways Scott can choose 2 books out of 8 books is given by the combination formula:
C(8,2) = 8! / (2! * 6!) = 28
This means there are 28 possible pairs of books he could choose.
The probability that he chose books A and B is 1 out of 28 because there is only 1 way to choose books A and B out of the 28 possible pairs:
P(A and B) = 1/28
To know more about probability,
https://brainly.com/question/30034780
#SPJ1
The wholesale price for a pair of shoes is $6.50. A certain department store marks up the wholesale price by 40%. Find the price of the pair of shoes in the
department store
Round your answer to the nearest cent, as necessary.
Answers
Answer:
$9.10 dollars
Step-by-step explanation:
The original price of the shoes is $6.50, so we want to add 40% to that. There are two ways to do this.
Method 1:
Find 40% of 6.50, and add it to 6.50.
[tex]6.5*0.4= 2.6\\6.5+2.6=9.1[/tex]
Method 2:
Multiply 6.5 by 1.4 (including the original percent of 100 and adding 40 percent to it)
[tex]6.5*1.4=9.1[/tex]
Mr. Adeb takes out an $8,000 personal loan to restore his antique car. The bank loans him the money at 4.5% simple interest for 4 years.
a. How much will Mr. Adeb pay in interest? _
b. What is the total cost of the restoration including the interest? _
Mr. Adeb takes out an $8,000 personal loan to restore his antique car. The bank loans him the money at 4.5% simple interest for 4 years.
a. How much will Mr. Adeb pay in interest?
b. What is the total cost of the restoration including the interest?
Answers
Answer:
A) $1440
B) $9440
Step-by-step explanation:
A) 4.5% x $8000 = $360 x 4 years = $1440
B) $1440 + $8000 = $9440
Solve the triangle for which ∠ A = 30 ∘ , ∠ B = 45 ∘ , and a = 20 . Round to the nearest whole number. Do not use a decimal point or spaces in your answer or it will be marked incorrect. b = ∘
Answers
Answer:
[tex]b=20\sqrt{2}[/tex] units
Step-by-step explanation:
Recall the Law of Sines
[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]
Solve for side "b" given ∠A, ∠B, and side "a"
[tex]\frac{sinA}{a}=\frac{sinB}{b}\\ \\\frac{sin(30^\circ)}{20}=\frac{sin(45^\circ)}{b}\\ \\ bsin(30^\circ)=20sin(45^\circ)\\\\b(0.5)=20(\frac{\sqrt{2}}{2})\\ \\0.5b=10\sqrt{2}\\\\b=20\sqrt{2}[/tex]
Therefore, [tex]b=20\sqrt{2}[/tex] units
Answer:28
Step-by-step explanation:
If a local coffee shop serves 12 customers in 36 minutes, how fast does it serve its customers?
Answers
Explanation: 36 minutes distributed evenly to 12 customers (divide) is 3 minutes per customer.
i’m doing homework with my little brother and i have no idea what this means, can someone help, quick?
Answers
Answer:
If the clock goes up 5 minuets, what time would it be? Good luck loggan!
Answer:
1: 7:15
2: 10:35
3: 5:50
Have a good day
Simplify the expression |12-5|-(6/2+1)^2
Answers
Answer:
-9
Alternative form:
-[tex]3^{2}[/tex]
----------------------------------------------------
Steps:
1- Cross out the common factor
2- Calculate the sum or difference
3- Calculate the absolute value
4- Calculate the power
5- Calculate the sum or difference
I’m posting my homework
Answers
The answer is VW = 47.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answers
Answer:
B. 10
Step-by-step explanation:
This pair of triangles follows a scale factor. A scale factor is the factor that can get you an exact copy of a triangle, but with bigger or smaller side lengths. In this case, the scale factor is 2 (doing 12/6 on the left side is 2), and dividing that by 20 to get 10. Because we want the smaller triangle, we divide, not multiply. (you could also multiply by 1/2)
Need help clarifying if D if the right one
Answers
Answer:
yes d is the correct answer
Step-by-step explanation:
A randomly generated list of integers from 0 to 4 is being used to simulate an
event with the numbers 2 and 3 representing a success. What is the
estimated probability of a success?
Answers
Answer:
2/5
Step-by-step explanation:
No of items =5(0,1,2,3,4)
No of favourable conditions =2(2,3)
Gk, probability =2/5
Answer:
40% chance of success
Step-by-step explanation:
The possible integers chosen are 0, 1, 2, 3, and 4.
Since the numbers are randomly chosen and the numbers 2 and 3 represent a success, and the numbers 0, 1, and 4 represent a failure, and there are 5 possible outcomes, there is a 2/5 chance of success. Therefore, you have an estimated 40% chance of a success.
If given in the following expression, find the value of
(x^3 + y^3):(x^3-y^3)
If (x^2+y^2)/(x^2 -y^2)= 17 /8
Answers
Step-by-step explanation:
Given that:
{(x²+y²)/(x²-y²)} = 17/8
On applying cross multiplication then
since, (a/b) = (c/d) ⇛a(d) = b(c)
Where, x = x²+y², b = x²-y², c = 17 and d = 8
So,
⇛17(x²-y²) = 8(x²+y²)
Multiply the number outside of the brackets with variables in the brackets on both LHS and RHS.
⇛17x²-17y² = 8x²+8y²
⇛17x²-17y² - 8x²-8y² = 0
⇛17x²- 8x² - 17y² - 8y² = 0
⇛9x² - 25y² = 0
⇛9x² = 25y²
⇛9/25 = y²/x²
⇛25/9 = x²/y²
⇛x/y = √(25/9)
⇛x/y = √{(5*5)/(3*3)}
⇛x/y = 5/3
Therefore, x:y = 5:3
Let x = 5a and y = 3a
Now, (x³+y³):(x³-y³)
= {(x³+y³)/(x³-y³)} = [{(x+y)(x²-xy+y²)}/{(x-y)(x²+x-y+y²)}]
= [{(5a)³ + (3a)³}/{(5a)³ - (3a)³}]
= [{(5*5*5*a*a*a) + (3*3*3*a*a*a)}/{(5*5*5*a*a*a) - (3*3*3*a*a*a)}]
= {(125a³ + 27a³)/(125a³ - 27a²)}
= {(152a³)/(98a³)}
= 152/98
Write the obtained fraction in lowest form by cancelling method.
= {(152÷2)/(98÷2)}
= 76/49
Therefore, , (x³+y³):(x³-y³) = 76/49
Answer: Hence, the required value of (x³+y³):(x³-y³) is 76/49.
Please let me know if you have any other questions.
Answer:
76:49 or 49:76
Step-by-step explanation:
The second relation gives an expression for y in terms of x:
[tex]\dfrac{x^2+y^2}{x^2-y^2}=\dfrac{17}{8}\\\\8x^2+8y^2=17x^2-17y^2\qquad\text{cross multiply}\\\\25y^2=9x^2\qquad\text{add $(17y^2-8x^2)$}\\\\5y=\pm3x\qquad\text{take the square root}\\\\y=\pm\dfrac{3}{5}x\qquad\text{divide by 5}[/tex]
Substituting into the expression we want the value of, we can factor out x^3 to get ...
[tex](x^3+y^3):(x^3-y^3)=(1\pm(3/5)^3):(1\mp(3/5)^3)=(125\pm27):(125\mp27)\\\\=152:98\text{ or }98:152=\boxed{76:49\text{ or }49:76}\m[/tex]
_____
Additional comment
There is nothing in the given requirement that means x and y must have the same sign. If the signs are different, then the value of the expression is less than 1, rather than greater than 1.
Which triangle is a translation of triangle X?
C triangle A
O triangle B
• triangle C
O triangle D
Answers
Answer:Triangle B
Step-by-step explanation:
It is the only one not dilated or rotated, but it was simply moved, which is the definition of translation.
233÷45 (67×89) long division please
Answers
Hey there!
233 ÷ 45 (67 × 89)
= 233 ÷ 45(5,963)
= 1,389,379 ÷ 45
= 30,875.08888888889
Therefore, your answer is:
30,875.08888888889
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
Step-by-step explanation:
The answer is (30875.0888889)
there is a literal calculator that you can look up that will give you the answer.
Plss someone help and explain if you can Plss help
Answers
above is the answer. typing is not getting allowed dunno why
Answer:
Step-by-step explanation:
44) I’ll try to explained detailed as possible.
So first of all we have: 180-120=60 => this is the value of angle(BCA)
=> we know that a triangle has 180 degree in total =>
Now we will have to add all angles,their sum will be equal to 180.
=> (2x+28)+(3x-13)+60=180
2x+28+3x-13=180-60
5x+15=120
5x=105
x=105/5
x=21
=> m(BAC) = 2x+28=29*2+28=58+28=86 degree.
Help!!!! I have rsm tomowrrow. can u also show me how to do it? thanks!
Answers
Check the picture below.
Could you please help me with number 6 thank you sm !!
Answers
Answer:
A) a = 4, b = 3Step-by-step explanation:
#6Given equation:
4/(x - 3) + 2/(x - 2) = 2Multiply all terms by (x - 3)(x - 2):
4(x - 2) + 2(x - 3) = 2(x - 3)(x - 2)2(x - 2) + (x - 3) = (x - 3)(x - 2)2x - 4 + x - 3 = x² - 5x + 6x² - 5x - 3x + 6 + 7 = 0x² - 8x + 13 = 0x = (8 ± √(8² - 4*13))/2 = (8 ± √12)/2 = (8 ± 2√3)/2 = 4 ± √3Compare this to the given form to get:
a = 4, b = 3Correct choice is A
On solving
x=4±√3
So
a=4 and b=3
hello help me with this question thanks in advance
Answers
[tex]\bold{\huge{\purple{\underline{ Solutions}}}}[/tex]
Answer 5 :-We have,
[tex]\sf{ HE = 2x cm \: and \: OR = ( x + 5)cm}[/tex]
We know that,
Parallelogram has opposite sides parallel and equal.From above property,
[tex]\sf{ HE = OR }[/tex]
[tex]\sf{ 2x = x + 5}[/tex]
[tex]\sf{ 2x - x = 5}[/tex]
[tex]\sf{ x = 5}[/tex]
Thus, The value of x is 5cm
Therefore,
The value of HE
[tex]\sf{ = 2x}[/tex]
[tex]\sf{ = 2× 5}[/tex]
[tex]\sf{\red{ = 10 cm}}[/tex]
The measurement of HE is 10 cm
Hence, Option A is correct
Answer 6 :-We have,
[tex]\sf{m}{\sf{\angle{HER = 5y - 26° \: and\: m }}}{\sf{\angle{ ROH = 2y + 40°}}}[/tex]
In parallelograms, Opposite angles are equalFrom above property,
[tex]\sf{m}{\sf{\angle{HER = }}}{\sf{\angle{ ROH}}}[/tex]
[tex]\sf{ 5y - 26° = 2y + 40°}[/tex]
[tex]\sf{ 5y - 2y = 40 + 26}[/tex]
[tex]\sf{ 3y = 40 + 26}[/tex]
[tex]\sf{ y = 66/3}[/tex]
[tex]\sf{ y = 22°}[/tex]
Thus, The value of y is 22°
Therefore,
The measurement of Angle HER
[tex]\sf{ = 5 × 22 - 26 }[/tex]
[tex]\sf{ = 110 - 26 }[/tex]
[tex]\sf{\red{= 84° }}[/tex]
The measurement of angle HER is 84°
Hence option D is correct
Answer 7 :-We have,
[tex]\sf{ HZ = 4a - 5 \:and \:RZ = 3a + 5 }[/tex]
The diagonals of parallelogram are equal in length Here, RZ is the bisector of diagonal HR[tex]\sf{ 4a - 5 = 3a + 5 }[/tex]
[tex]\sf{ 4a - 3a = 5 + 5}[/tex]
[tex]\sf{ a = 10}[/tex]
Thus, The value of a is 10
Therefore,
The measurement of HZ
[tex]\sf{ = 4 × 10 - 5 }[/tex]
[tex]\sf{ = 40 - 5 }[/tex]
[tex]\sf{\red{= 35 \: cm }}[/tex]
The measurement of HZ is 35 cm
Hence, Option C is correct
Answer 8 :-We have ,
One diagonals = 5x - 47
Another diagonal = 2x + 34
In isosceles trapezoid, Diagonals are equal in length.From above property,
[tex]\sf{ 5x - 47 = 2x + 34 }[/tex]
[tex]\sf{ 5x - 2x = 34 + 47}[/tex]
[tex]\sf{ 3x = 81 }[/tex]
[tex]\sf{ x = 81/3 }[/tex]
[tex]\sf{ x = 27}[/tex]
Thus, The value of x is 27
Hence, Option A is correct
Answer 9 :-We have,
The sides of parallelogram GAME are (7x - 1 ) , ( 5x + 10 ) , (6x) , ( 7x - 2 )
In parallelogram, Opposite sides are equalFrom above property,
[tex]\sf{ 7x - 1 = 6x }[/tex]
[tex]\sf{ 7x - 6x = 1 }[/tex]
[tex]\sf{ x = 1 }[/tex]
[tex]\sf{ 5x + 10 = 7x - 2}[/tex]
[tex]\sf{ 7x - 5x = 10 + 2 }[/tex]
[tex]\sf{ 2x = 12}[/tex]
[tex]\sf{ x = 12/2 }[/tex]
[tex]\sf{ x = 6 }[/tex]
Thus, measurements of parallelogram GAME in inches is 1 and 6 .
Hence, Option B is correct
Answer 10 :-We have,
[tex]\sf{ ES = 18 cm}[/tex]
The diagonals of rectangle are equal in length. Here, NP = OE PS and NS act as a bisector in OE and OS and ES act as a bisector in NPFrom above we can say that,
[tex]\sf{ OE = OS + ES }[/tex]
[tex]\sf{ OE = 2ES ( OS = ES bisector}[/tex]
[tex]\sf{ OE = 2 × 18 }[/tex]
[tex]\sf{ OE = 36cm }[/tex]
Thus, The value of OE is 38 cm
Therefore,
[tex]\sf{ OE = NP }[/tex]
[ Diagonals of the given rectangle ]
[tex]\sf{\red{NP = 36 cm }}[/tex]
Thus , The value of NP is 36 cm
Hence, Option C is correct
Help me please!! I don’t know what to do!
Answers
Answer:
all you to do is get your calculator or you can just ask an adult for help or you can do it yourself or you can solce them step by step
what is the markdown what was sebastains percent error on his prediction
Answers
Answer:
i need the answer
Step-by-step explanation:
what is x-5(x-1)=x-(2x-3)
Answers
Answer:X=2/3
Step-by-step explanation:
olutioniaisisisis
Help me ASAP
I will give you BRAINLEAST
Follow the directions in the Image
Answers
It will take the turkey about 3 hours to roast.
A skating rink sold 66 tickets. 2/3 were children's tickets. How many adults tickets were sold
Answers
Answer:
22
Step-by-step explanation:
22 x 3 = 66
1/3 would be 22
The sum of two numbers is sixteen. One number is forty less than three times the other. Find the numbers.
Answers
Answer:
y = 14 x = 2
Step-by-step explanation:
what we know:
x + y = 16
x = 3y - 40
3y - 40 + y = 16
4y - 40 = 16
add 40 to both sides
4y = 56
y = 14
x = 3(14) - 40
x = 42 - 40
x = 2
Please help me solve all of this
Show your work
NO LINKS!!
Answers
Answer:
1.7 x 10= 17 (moving one decimal point to the right)
1.7 x 100=170 (moving two decimal points to the right)
1.7 x 1000= 1700 (moving 3 decimal points to the right)
Reflect: The decimal changes depending on the number of zeros in each multiple of ten that it is multiplied by. If it is multiplied by 10 for instance, the decimal is moved one place to the right since there is one 0, if by 100 then it is moved two places to the right since there are 2 zeros, and if by 1000 then it is moved 3 places to the right for the 3 zeros.
W
List the following words in order from smallest to
largest
A. Gene, DNA, Chromosome, Nucleus
B. Nucleus, DNA, Chromosome, Gene
C. DNA, Gene, Chromosome, Nucleus
D. Chromosome, Cell, Nucleus, Gene
Answers
List the following words in order from smallest to
largest
C. DNA, Gene, Chromosome, Nucleus
Answer:
A. Gene, DNA, Chromosome, Nucleus
Step-by-step explanation:
Hope this helps. Please give Brainest if it did. Good luck