Answer:
A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
Step-by-step explanation:
Answer:
Compare the slopes and y-intercepts of the two equations by putting them in slope-intercept form. If the slopes are equal, but the y-intercepts are different, then the lines are parallel and have no solution because they do not intersect at any point.
Step-by-step explanation:
Thats the sample answer on edge :)
Albert, bill, claire, and David are all siblings. Bill was born 2 years after Albert. Claire's favourite colour is orange and she is currently half the age of Albert. David enjoys golf and swimming and he is 3 times older than Bill.
The total of their age is 113 using algebraic methods find out their exact age
what is their exact age
Answer:
Albert = 22
Bill = 22 - 2 = 20
Claire = 22/2 = 11
David = 3(20) = 60
Step-by-step explanation:
Let Albert's age = x
Bill = x - 2
Claire = x/2
David = 3(x - 2)
Total sum of their ages = 113
x + x - 2 + 0.5x + 3(x - 2) = 113
x + x - 2 + 0.5x + 3x - 6 = 113
x + x + 3x + 0.5x -2 - 6 = 113
5.5x - 8 = 113
5.5x = 113 + 8
5.5x = 121
x = 121 / 5.5
x = 22
Albert = 22
Bill = 22 - 2 = 20
Claire = 22/2 = 11
David = 3(20) = 60
The maximum number of marks attainable at a mathematics competition is 60. Kate obtains 40 marks, Priya obtains 46 marks, and Nora obtains 49 marks. The examination board decides that those who scored 80 % and above will get a gold medal, those who score 70 % to 79 % inclusive will get a silver medal and those who scored 60 % to 69 % inclusive will get a bronze medal. Determine the type of medal each of them will get
Answer: See explanation
Step-by-step explanation:
Total marks = 60
Kate = 40 marks = 40/60 × 100 = 66.7%
Kate gets a bronze medal.
Priya = 46 marks = 46/60 × 100 = 76.7%
Priya gets a silver medal
Nora = 49 marks = 49/60 × 100 = 81.7%
Nora gets a good medal.
What is the slope of the line with equation y - 3= -1/2(x - 2)
Answer:
-1/2
Step-by-step explanation:
according to what I learnt, the general form of every equation is y=mx+c where y is the y value, x is the x value, m is the slope and c is the y-intercept so the equation y-3= -1/2(x - 2) in the general form wil be :
y= -x/2+4 and so m= -x/2 ,that is -1/2
Subract the sum of 3a^4b-4b^3+c^2 & 6a^4b+3b^3-6c^2 from the sum of 6a^4b-4b^3-4c^2 & 2a^4b+4b^3+7c^
Answer:
-a^4b + b^3 - 8c^2
Step-by-step explanation:
Sum of
3a^4b-4b^3+c^2 + 6a^4b+3b^3-6c^2
= 3a^4b + 6a^4b - 4b^3 + 3b^3 + c^2 - 6c^2
= 9a^4b - b^3 - 5c^2
Sum of
6a^4b-4b^3-4c^2 + 2a^4b+4b^3+7c^
= 6a^4b + 2a^4b - 4b^3 + 4b^3 - 4c^2 + 7c^2
= 8a^4b + 3c^2
Subtract
8a^4b + 3c^2 - (9a^4b - b^3 - 5c^2)
= 8a^4b + 3c^2 - 9a^4b + b^3 + 5c^2
= 8a^4b - 9a^4b + b^3 + 3c^2 + 5c^2
= -a^4b + b^3 - 8c^2
3 (m+6) +7 (m-2)
7(6x + 5) - 8
4(3x + 5) - 13
Answer:SAME SIGNS 1. Add.
2. Sum is positive if both are positive; negative if both are negative.
5 + 8 = 13 –5 + (–8) = –13
DIFFERENT SIGNS
1. Subtract the absolute values.
2. Answer is sign of the integer with the greater absolute value.
5 + (–8) = –3 –5 + 8 = 3
Find each sum. 1. –4 + (–8)
–12
4. –16 + 11 –5
7. –49 + (–32)
–49 –81 –32 –81
2. 14 + 16 30
5. 28 +(–42) –14
8. 23 + (–23) 0
3. –43 + (–12) –55
6. 75 + (–5) 70
9. 86 + (–18)
86 68–18 68
Integers
Multiplying & Dividing
RULE
EXAMPLES
1. Multiply or divide.
2. The answer is positive if the signs are the same (both positive or both negative); negative if the signs are different (one positive and one negative).
–5 x(–8) = 40 40 4 = 10
16 x(–3) = –48 –20 10 = –2
Find each product or quotient.
1. –3 x (–8) 24
4. 0 x (–121)
0 5 –13
2. –5 x (–5) 25
3. –15 x 3 –45
5. –35 (–7)
6. –65 5
7. 240 (–4) 8. 36 12 9. (–49 7) x 8 –7 x 8
–60 3
–56
Step-by-step explanation:
I REALLY NEED HELP ON THIS!!!!!! I WILL MARK BRAINLIEST
Answer:
y = 2,500x + 5,000
Rate of change = $2500 a year
Initial value = $5000
Step-by-step explanation:
We have 3 values to figure what is the function here, the rate of change, and the initial value.
To find the initial value, find where y is located where x is 0. In this case it's $5000, so that's the initial value.
Now the rate of change. Find y where x is 1. That is $7,500. Subtract $5000 from to get the rate of change, since it's the same. It's constant because of a straight diagonal line.
$7,500 - $5,000 = +$2,500/year
Now the equation. This is not proportional, because y's starting point is not 0. It's greater than that, so an addition sign is in the equation. Do you remember our initial value? That's right! It was $5,000, so put that after the addition sign.
y = ????x + 5,000
You also need to remember the rate of change, which was 2,500. Put that on the left of the addition sign and there's your equation!
y = 2,500x + 5,000
Answer:
y=2500x + 5000
2500
5000
Step-by-step explanation:
Convert the following repeating decimal to a fraction in simplest form.
.6
Answer:
2/3
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
0.6 is a repeating decimal in this case, so you can round it to .7
From there, you simply put it over ten because you cant break seven down any more than that in a simple fraction.
A video game is on sale for $55. If the discount was
14%, what was the original price?
Answer:
$77
Step-by-step explanation:
i just take 55 x 0.14 which is 7.7 then i moved the decimal 1 place to the right.
Answer:
I believe the answer it 62.70
although I am not completely sure
Step-by-step explanation:
14% of 55 = 7.7
7.7 + 55 = 62.7
= $62.70
43 decreased by a number B
Answer:
43 - B = x
Step-by-step explanation:
When decreasing, you are subtracting, so the equation for this problem would be 43 minus B equals whatever quantity you were given as a solution.
share $180 between anna and barry so that Anna share to barry share is in the ratio 4:5
Answer:
Anna: $80
Barry: $100
Step-by-step explanation:
total of 9 shares
each 20 dollars
4(20) = 80
5(20) = 100
A is what percent of B? Pls help???
Answer:
If you want to know what percent A is of B, you simple divide A by B, then take that number and move the decimal place two spaces to the right. That's your percentage!
Step-by-step explanation: There is no exact answer and it would be null. You didn't even give an image
You have 42 coins with a total value of $3.00. Some of the coins are dimes, and the rest are quarters.
Select the two equations that would create the best system of equations to represent this scenario.
Answer:
1. $3.00+42=$3.42
2. 4 Dimes , 2 Pennies
Step-by-step explanation:
2. 4 Dimes = 40 cents , 2 pennies = 2 cents
1. Add up 3.00+42 and that is how you could get the answer for number 1 .
please help, urgent. picture shown.
Answer: 80
Step-by-step explanation:
First, find the area of the square by doing 12 x 12. (Which = 144)
Then, find the area of the circle. This is found by using the formula of 1/4 • π • 9 squared.
This should get you 63.62, or 64 when rounded up.
You then subtract 64 from 144 and get 80 for your answer.
if the mean of 6 7 13 and 10 is 8 find the range
Answer:
hope this hlo u
Step-by-step explanation:
range =highest observation-lowest observation
range=10-6
=4
The equation of a curve is
[tex]y = 4x {}^{3} + 4px {}^{2} + 16x - 9[/tex]
Find the range of values of p such that y is an increasing function.
Let's solve for p.
[tex]y=4x3+4px2+16x−9[/tex]
Step 1: Flip the equation.
[tex]4px2+4x3+16x−9=y[/tex]
Step 2: Add -4x^3 to both sides.
[tex]4px2+4x3+16x−9+−4x3=y+−4x3[/tex]
[tex]4px2+16x−9=−4x3+y[/tex]
Step 3: Add -16x to both sides.
[tex]4px2+16x−9+−16x=−4x3+y+−16x[/tex]
[tex]4px2−9=−4x3−16x+y[/tex]
Step 4: Add 9 to both sides.
[tex]4px2−9+9=−4x3−16x+y+9[/tex]
[tex]4px2=−4x3−16x+y+9[/tex]
Step 5: Divide both sides by 4x^2.
4px² / 4x² = −4x³ − 16x + y + 9 / 4x²
Answer:
p = −4x³ − 16x + y + 9 / 4x²
Pleaseee help this is urgent!!! I need it in English! Please show all the work ! 14 points
Answer:
width = 40 feet, length = 90 feet
Step-by-step explanation:
length = 2w + 10
width = w
Perimeter = 260
Perimeter of rectangle = 2length + 2width
Sub the values into that equation:
260 = 2(2w + 10) + 2(w)
260 = 4w + 20 + 2w
260 = 6w + 20
260 - 20 = 6w
240 = 6w
w = 240/6
w = 40
So now we know the width of the garden is 40 feet.
To find the length, substitute the width into the length equation:
length = 2w + 10
length = 2(40) + 10
length = 90 feet
length = 90 feet, width = 40 feet
Consider the volume of a rectangular pyramid, one whose base is not square. Does changing one of the three variables (length, width, or helght)
by a given fraction have a greater effect on the volume of the pyramid than changing either of the other two variables? That is, which variable, if
any, has the largest influence on the volume? Assume that the other two variables remain constant. Explain your answer.
Answer:
dobt worry il heñp il solve
Can y’all help me with this
Answer:
24.45cm squared
Step-by-step explanation:
(9 x 12) - ((6 x 3.14) / 2)
For each ordered pair, determine whether it is a solution to y=-3x-7.
Is it a solution?
Х
5
?
(x, y)
Yes
No
(8, -56)
(-5,8)
(-9, -23)
(4, 19)
Answer:
(-5,8)
Step-by-step explanation:
The given equation y = -3x - 7 holds true for the ordered pair, so (-5, 8) is a solution. Thus, option third is correct.
To determine whether each ordered pair is a solution to the equation y = -3x - 7, we substitute the x and y values into the equation and check if it holds true.
For the ordered pair (8, -56):
y = -3x - 7
-56 = -3(8) - 7
-56 = -24 - 7
-56 = -31
The equation does not hold true for this ordered pair, so (8, -56) is not a solution.
For the ordered pair (-5, 8):
y = -3x - 7
8 = -3(-5) - 7
8 = 15 - 7
8 = 8
The equation holds true for this ordered pair, so (-5, 8) is a solution.
For the ordered pair (-9, -23):
y = -3x - 7
-23 = -3(-9) - 7
-23 = 27 - 7
-23 = 20
The equation does not hold true for this ordered pair, so (-9, -23) is not a solution.
For the ordered pair (4, 19):
y = -3x - 7
19 = -3(4) - 7
19 = -12 - 7
19 = -19
The equation does not hold true for this ordered pair, so (4, 19) is not a solution.
Learn more about the equation here:
brainly.com/question/13947055
#SPJ4
i dont know plz help
Mini made a recipe that yields 4 and 1 over 2 cups. If each serving is 1 over 2 cup, which expression will help Mini determine the number of servings her recipe will yield?
Answer:
1/2x = 4 1/2
Where x = Number of servings = 9 servings
Step-by-step explanation:
Mini made a recipe that yields 4 and 1 over 2 cups.
1 recipe = 4 1/2 cups
1 serving = 1/2 cups
1/2 cups = 1 servings
4 1/2 cups = x servings
Cross Multiply
1/2 × x = 4 1/2
x = 4 1/2 ÷ 1/2
x = 9/2 ÷ 1/2
x = 9/2 × 2
x = 9 servings.
Therefore, the expression tha will help Mini to determine the number of servings her recipe will yield is
1/2x = 4 1/2
Where x = Number of servings = 9 servings
In the chemical formula 2SO2, how many total atoms of oxygen (O) are there?
Answer:
4
Step-by-step explanation:
2 molecules of SO2
each molecule contains 2 atoms of Oxygen
Answer:
Step-by-step explanation:
HELP I NEED HELP ASAP
Taxi Driver A(x)=1.50x+5 and Taxi Driver B charges B(x)=1.25x+8 where x is the number of miles driven. After how many miles will the cost be the same for each taxi driver?
Answer:
12 miles
Step-by-step explanation:
1.25x + 8 =1.5x+5
1.25x-1.5x=5-8
-0.25x=-3
-0.25x/-0.25x=-3/-0.25
x= 12
Find the Values of y
Y ² = 169
Answer:
Y= 13,-13
Step-by-step explanation:
Need help on these two thanks
Answer:
#1 is meter or D
#2 is also D
Step-by-step explanation:
Which is greater, 20% or 0.02?
Answer:
20% is greater
Step-by-step explanation:
0.02 is only 2%
Answer:
20%
Step-by-step explanation:
to change .02 into a percent, you move the decimal over twice or multiply it by 100. leaving it to be 2%
Help me out with this, homes
Answer:
2
Step-by-step explanation:
2
What is the value of (-5)^4
Answer:
625
Step-by-step explanation:
Identify the correct Triangle Congruence Theorem that describes the figure below.
A. SAS
B. ASA
C. AAS
D. SSS
E. HL
Answer:
ASA
Step-by-step explanation:
Don't worry I just know
Help me plssssss!!!!!
Answer:
I think the correct answer is B