Answer:
(11, 13)
Step-by-step explanation:
Given,
3x - 2y = 7 => (eqn. 1)
y = x + 2 => (eqn. 2)
Substitute y = (x + 2) in eqn. 1.
3x - 2(x + 2) = 7
Use -2 to multiply each term you have in the parentheses. (This is where Carolyn got it wrong)
3x - 2x - 4 = 7 (-2*4 = -4 not +4)
x - 4 = 7
Add 4 to both sides
x = 7 + 4
x = 11
Substitute x = 11 in eqn. 2.
y = x + 2
y = 11 + 2
y = 13
Solution: (11, 13)
Marissa bought 4 cans of corn and 8 cans of green beans for a total of $7.00. Bob bought 8 cans of corn and 7 cans of green beans for a total of $8.60. Determine how much each can green beans cost.
Step-by-step explanation:
1 can of corn = c
1 can of green beans = b
Marissa-> 4c+8b=7
Bob-> 8c+7b=8.60
form a simultaneous equation:
4c+8b=7
8c+7b=8.60
find a common coefficient, e.g. make the number of cans of corn that Marissa has, equal to the number of cans of corn that Bob has, so you would multiply the top equation by 2, so both people have 8 cans of corn
8c+16b=14
8c+7b=8.60
now you can cancel out the cans of corn, and subtract the second equation from the first one, so you would get:
16b-7b=9b
14-8.60= 5.4
so, 9b=5.4, and b= 0.6
so 1 can of green beans would cost $0.60
what is f(x) = 0,5 (x-3)( x-5) in general form??
Answer:
[tex]f(x)=0.5x^2-4x+7.5[/tex]
Step-by-step explanation:
The general form of a quadratic function is:
[tex]y=ax^2+bx+c[/tex]
We'll find the general form of the function:
[tex]f(x)=0.5(x-3)(x-5)[/tex]
Multiplying the expressions in parentheses:
[tex]f(x)=0.5(x^2-5x-3x+15)[/tex]
Simplifying:
[tex]f(x)=0.5(x^2-8x+15)[/tex]
Operating:
[tex]\mathbf{f(x)=0.5x^2-4x+7.5}[/tex]
What is the value of ?
Answer:
65
Step-by-step explanation:
What is the equation of the line shown in the coordinate plane below?
Identify if the following relations are functions (yes or no)? Identify the domain and range for each.
{(-6, 5), (-4, 3), (-1, 0), (4, 3)}
Answer:
Step-by-step explanation:
domains:-6,-4,-1,4
Range:5,3,0,3
will you include the image of the line so i can answer the rest of the question?
what is the equation of the line in slope intercept form
Answer:
y=-3/2+1
Step-by-step explanation:
IM GIVING BRAINLIEST AND 50PTS TO SOMEONE THAT CAN ANSWER THE FOLLOWING QUESTION CORRECTLY
given the following linear function sketch the graph of the function and find the domain and range
f(x) = 2/7x - 2
i am giving brainliest to the first person that answers this and follows all the directions
Tell us the value of the variable to solve
The graph is attached btw
Answer:
Bet.
Step-by-step explanation:
(5i-3)(9i+1)
Answer must be in standard form
Answer:
-48-22i
Step-by-step explanation:
How would I create a graph for this equation? The equation is c=4.95+3.99b
Answer:
C is your y intercept 3.99b is your slope
Step-by-step explanation:
You are given the following sequences: Sequence A: 5, 11, 17, 23... Sequence B: 4000, 1000, 250, 62.5... Part A: Determine whether each sequence is arithmetic, geometric (2 pts) Part B: Write an explicit formula for each sequence (6 pts) Part C: Find the 6th term of each sequence (2 pts)
Answer:
I believe the first is arithmetic because it has a difference Of 6 between each number. The second is geometric because each number is divided by 4 to get the next number
Step-by-step explanation:
5, 11, 17, 23, 29, 35. (Difference of 6)
4000, 1000, 250, 62.5, 15.62, 3.90 (divide by 4)
As for the formulas I’m not sure, but I I would guess something like
an=6n-1
an=n/4
I am not sure about the formulas though
What is -19 equal to
Answer:
-19
Step-by-step explanation:
I need help plz answer this
Answer: A. (5)(5x+2y)
Step-by-step explanation:
I NEED HELP ON THIS TOOO!!! IMPORTANT!!!! EMERGENCY!!!!!
Answer:
$ 2188
Step-by-step explanation:
12.5%*17500=(12.5/100)*17500=12.5*175=2188
i need help with the group 1 and group 2, what do i write in the boxes :((
The volume of a solid cube is 1700m3.
Work out the surface area.
Give your answer rounded to 1 DP.
Answer:
849.7m2
Step-by-step explanation:
L= length
SA = surface area
volume = L x L x L
1700= L x L x L
find cube root
=11.93m
round off to 1 dp
=11.9m
SA= 6( L x L)
= 6( 11.9 x 11.9)
=6(141.61)
=849.66m2
round off to 1 dp
=849.7m2
-6 5 4 3 2 1
1 2 3 4 5 6
1
1-2
-3
Water Slide
Restrooms
-5
Answer:
I am sorry what are you showing
What is the factored form of the expression 24x + 64y?
Answer:
8(3x+8y)
Step-by-step explanation:
Answer:
24x + 64y
Step-by-step explanation:
6 divided by 2/3 = tell me thee answer in fraction form
Answer:
There wouldn't be a fraction form because its a whole number which is 9
Solve 3x2 + 4x = 2. ??
Answer: Answer: The answer should be x = -1. Hope this helps!
A.
B.
C.
D.
Help me please!!
It's B!!! ik cuz i ggogled it lol
Answer:
I think the answer is B. $92
Step-by-step explanation:
$80 time (115 on calculator will give you 9200
what is the value of x?
Answer:
I honestly have no clue.
Step-by-step explanation:
I honestly have no clue.
A business recently upgraded a conference TV they had in their conference room. Originally the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches. The new TV is 70 inches across the diagonal. Since the new TV will be recessed in the wall, it will need trim put on the border. What is the perimeter of the new TV? Round your answer to two decimal places.
Answer:
The perimeter of the new TV is approximately 95.32 inches
Step-by-step explanation:
The diagonal dimension of the original TV = 32 inches
The perimeter of the original TV = 87.16 inches
The diagonal dimension of the new TV = 70 inches
The perimeter of the new TV = 87.16 inches
For the original TV, we have;
Let w be the width of the original TV and l be the length of the original TV, we have;
2·w + 2·l = 87.16
√(w² + l²) = 32
Therefore, we have;
32² = w² + l²
w = (87.16 - 2·l)/2
w = 43.58 - l
32² = l² + (43.58 - l)²
l² + (43.58 - l)² - 32² = 0
l² + 43.58² - 2 × 43.85 × l + l² - 32² = 0
2·l² - 87.16·l + 875.2164 = 0
By the quadratic formula, we have;
l = (87.16 ± √((-87.16)² - 4×2 × 875.2164))/(2 × 2)
Therefore, l = 27.89 inches or l = 15.69
Therefore, w = (87.16 - 2·l)/2 = (87.16 - 2× 27.89)/2 = 15.69
or w = (87.16 - 2× 15.69)/2 = 27.89
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
15.69/27.89
w₂/l₂ for the new TV = 15.69/27.89
∴ w₂ = l₂ × 15.69/27.89
w₂² + l₂² = 70²
∴ (l₂ × 15.69/27.89)² + l₂² = 70²
l₂² × (15.69/27.89)² + l₂² = 70²
l₂²((15.69/27.89)² + 1) = 70²
l₂² = 70²/((15.69/27.89)² + 1) = 3722.04
l₂ = √(3722.04) ≈ 61.0
w₂ = l₂ × 15.69/27.89 = 61 × 15.69/27.89 ≈ 34.32
Therefore;
The perimeter of the new TV = 34.32 + 61 = 95.32 inches.
In this exercise we have to use the knowledge and information given to calculate the perimeter that will correspond to:
The perimeter of the new TV is approximately 95.32 inches
So the data for this exercise is from:
The diagonal dimension of the original TV = 32 inches The perimeter of the original TV = 87.16 inches The diagonal dimension of the new TV = 70 inches The perimeter of the new TV = 87.16 inches
Let w be the width of the original TV and l be the length of the original TV, we have;
[tex]2*(w) + 2*(l) = 87.16\\\sqrt{(w^2 + l^2)} = 32[/tex]
Therefore, we have:
[tex]32^2 = w^2 + l^2\\w = (87.16 - 2*l)/2\\w = 43.58 - l\\32^2 = l^2 + (43.58 - l)^2\\l^2 + (43.58 - l)^2 - 32^2 = 0\\l^2 + 43.58^2 - (2 * 43.85 * l)+ l^2 - 32^2 = 0\\(2)*(l)^2 - 87.16*l + 875.2164 = 0[/tex]
By the quadratic formula, we have;
[tex]l = (87.16 +/- \sqrt{((-87.16)^2 - 4*2 * 875.2164))/(2 * 2)} )[/tex]
Therefore:
[tex]w = (87.16 - (2)*(l))/2 = (87.16 - 2* 27.89)/2 = 15.69\\w = (87.16 - 2* 15.69)/2 = 27.89[/tex]
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
w₂/l₂ for the new TV = [tex]15.69/27.89[/tex]
[tex]w_2 = (l_2)* (15.69/27.89)\\w_2^2 + l_2^2 = 70^2\\(l_2 *15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2 * (15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2((15.69/27.89)^2 + 1) = 70^2\\l^2_2 = 70^2/((15.69/27.89)^2 + 1) = 3722.04\\l_2 = \sqrt{(3722.04)} = 61.0\\w_2= l_2 * 15.69/27.89 = 61 * 15.69/27.89 = 34.32\\[/tex]
The perimeter of the new TV :
[tex]P = 34.32 + 61 = 95.32[/tex]
See more about perimeter at brainly.com/question/6465134
Ok now these are my very last points please help
Answer:
wait what grade are you in ?
what is the value of x that satisfies the following equation
1 over 3 ( x - 9) = 2 over 3 (2x + 6)
Answer:
x=-7
Step-by-step explanation:
BRAINLIEST PLS
Fill in the blank so that the relation is NOT A FUNCTION. Type a number only in the blank. The blank represents the x-value of the last ordered pair. {(4.5),(0, -1), (-7,0). (-3,8). ( type your answer .. -1)
on saturday keisha ran 2.175 kilometers. on sunday she ran 1.88 kilometers. how much farther did she run on saturday than on sunday?
Pls help fast I don't know what to do
Answer:
0.295
Step-by-step explanation:
you needed to subtract 2.175-1.88=0.295
Keesha will mow grass for $8 per hour write in standard form
Answer: y = 8x
Step-by-step explanation:
Evaluate the expression for 1/2(2x+8)+6x and explain your process
Answer:
7x+4
Step-by-step explanation:
1/2(2x+8)
=x+4
x+4+6x
=7x+4
PLS GIVE BRAINLIEST
Answer:
7x+4
Step-by-step explanation:
1/2(2x+8)+6x
divide by 2 or multiply 1/2 it equals the same anyway
x+4+6x
add like terms
7x+4
I am doing a science project and need a fun or short title. The project is on whether filtered water affects plant growth. Any creative title ideas?
Answer: Water: The battle between the clean vs the dirty :P
Step-by-step explanation:
The sum of four times a number and negative three is twelve. What is the number?
2 1/4
3 3/4
-2 1/4
6
Answer:
Dgfyb
Step-by-step explanation:
The difference between two same side interior angles of two parallel lines is 35 degrees. Find the measures of these two angles.
Answer:
107.5° and 72.5°
Step-by-step explanation:
x + y = 180 same side interior angles of two parallel lines add up to 180
x - y = 35
___________
2x = 215 add above two equations
x = 107.5° divide by 2 to isolate x
Substitution to find y:
x + y = 180
107.5 + y = 180
y = 72.5°
The measure of these two angles is 107.5° and 72.5°.
Given that,
The difference between two same-side interior angles of two parallel lines is 35 degrees.We need to find the measure of the two angles. Here we assume the two angles be x and y.Based on the above information, the calculation is as follows:
x + y = 180
And,
x - y = 35
So, after solving it, it comes
2x = 215
x = 107.5°
So, y = 180 - 107.50 = 72.5
Therefore we can conclude that the measure of these two angles is 107.5° and 72.5°.
Learn more: brainly.com/question/13549064
Therefore we can conclude that