Answer:
y = (1/3)x - 7/2
Step-by-step explanation:
Slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
Lets transform this equation into that form using algebra rules.
-2/3x +2y = -7
get y alone
2y = (2/3)x - 7
divide everything by 2
y = (2/6)x - 7/2
simplify
y = (1/3)x - 7/2
y=-16x^{2}+121x+83
Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
The time that rocket will hit ground is 8.196 seconds.
What is quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a ≠ 0) for an equation to be a quadratic equation.
Given equation y = -16x² + 121x + 83
let y be the from ground and x be the time,
the time when rocket hit ground y = 0
-16x² + 121x + 83 = 0
solving using quadratic formula
x = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex])/2a
here a = -16, b = 121 and c = 83
[tex]\sqrt{b^{2} - 4ac}[/tex] = [tex]\sqrt{121^{2} - 4(-16)(83) }[/tex]
= [tex]\sqrt{14641 + 5312}[/tex] = 141.25
x = -(-121 + 141.28)/32 = -0.633
x = -(-121 - 141.28)/32
x = 8.196 second
Hence the time is 8.196 seconds.
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Maya bought snacks for her team's practice. She bought a bag of oranges for $2.87 and a 3-pack of juice bottles. The total cost before tax was $6.38. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs.
Answer:
total cost=$6.38
orange cost=$2.87
6.38-2.87=3.51
$3.51/3=$1.17 for a pack of juice
1 pack of juice =$1.17
Step-by-step explanation:
hope this helps good luck
What is the formula for velocity, if displacement and time are known?
Answer:
velocity = displacement/change in time
Step-by-step explanation:
Answer:
v = delta s/ delta t
Step-by-step explanation:
velocity = change in displacement / change in time
The table shows the total cost of purchasing x same-
priced items and a catalog.
Total Cost
Number of Items Total Cost
(x)
(y)
1
$10
2
$14
3
$18
4.
$22
What is the initial value and what does it represent?
O $4, the cost per item
O $4, the cost of the catalog
$6, the cost per item
O $6, the cost of the catalog
Answer:
it's d
Step-by-step explanation:
doing the cumulative. have a good day or night
The initial value is $6 which shows the cost of the catalog.
What is Cumulative Frequency?The number of observations in a data set that are above (or below) a specific value can be found using cumulative frequency. A frequency distribution table, which can be created using stem and leaf plots or directly from the data, is used to compute the cumulative frequency.
We have the table
x y
1 $10
2 $14
3 $18
4 $22
Now, to find the initial value we have to calculate the Cumulative Frequency as
x y CF
1 $10 10
2 $14 4
3 $18 4
4 $22 4
So, the initial value is
=10-4
= 6
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m/8 = 4
Solve for m
m = ?
Answer:
[tex]m = 32[/tex]
Step-by-step explanation:
[tex] \frac{ m}{8} = 4 [/tex]
[tex] \frac{m}{8} = \frac{4}{1} [/tex]
Use cross multiplication
[tex]m \times 1 = 8 \times 4 \\ m = 32[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
 Can someone please tell me the answer to this
Show me all your work and explain Please
Answer:
25,7 = x
Step-by-step explanation:
if theyre similar triangles then u can do this
5.5/6 = x /28
154 / 6 = x
25,7 = x
An article in a women's magazine says that women who choose to nurse their babies feel warmer and more receptive toward the infants than mothers
who bottle-feed. The author concludes that nursing has desirable effects on the mother's attitude toward the child. Explain why asserting a cause-and-effect relationship based on this information is suspect, and give another plausible explanation for the association between the decision to bottle-feed or nurse and mothers’ attitudes toward their children.
Asserting a cause - and - effect relationship with highly correlated variables may sometimes be misleading due to the presence of a possible lurking or confounding variable.
Lurking variables cause unintended or spurious association between correlated variables. In the scenario described, a possible confounding variable may be weariness or Fatigue which whereby the mother finds it easier to bottle feed as they have become psychologically disturbed and are prone to be more receptive during these period.
Hence, fatigue is a possible lurking variable in this scenario.
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Need help with question number 10. I don’t get it
Answer: False but true
Step-by-step explanation: This question is all about slope. Slope is rise over run (y/x).
Plant 1:
Plant one has a rate of change of 1 for x. You see how it's going up by 1. For y, it's going up by three, which means that the slope is 3/1, which is three. Three is not equal to six.
Plant 2: follow the points that touch the x and y intersections (my teacher calls them "pretty points"). You see that the slope is 1, because it's going up and right by 1, so 1/1.
Although the measurements are wrong, the statment is true, because 3>1.
Answer: 2. 8 snickers cost $15. What will 40 snickers cost?
Answer:
$75
Step-by-step explanation:
note that 40 = 5 × 8
Given the cost of 8 then 40 will cost 5 times as much , that is
cost of 40 = 5 × $15 = $75
Find the value of ( x-y )^2 when x = 9 and y = -8
Answer:
17^2 or 289
Step-by-step explanation:
write an equation in slope intercept form for the line with slope 5 and y intercept -3.then graph the line
Answer:
Step-by-step explanation:
y=5x - 3
-3 is the y intercept. The line cuts the y axis at (0,-3). The slope is the number in front of the x -- in this case 5.
help me please answer it
Answer:
I think it's A hope it halps
What would be 3/5 to a mixed number?
Answer: 1 2/3
Step-by-step explanation:
What you end up with, in this case, is 5/3=1 with a remainder of 2. The whole number you came up with (in this case "one") goes in front of the fraction in your answer. To get the fraction part, take the remainder and stick it on top of the denominator (which in this case is 3.) The answer you end up with is 1 2/3.
Answer:
.6 I think sorry if i'm wrong
Step-by-step explanation:
−2x+7y=10 3x+7y=2
what is the result of subtracting the second equation from the first
Order these decimals from least to greatest: 0.12, 0.123, 0.2, 0.13
Answer:
0.2,0.12,0.13,0.123.
Write the equation of the graph shown below in factored form.
f(x) = (x − 3)2(x + 2)(x − 1)
f(x) = (x + 3)2(x − 2)(x + 1)
f(x) = (x + 3)2(x + 2)(x + 1)
f(x) = (x − 3)2(x − 2)(x − 1)
f(x) = ( x - 3 )² ( x - 2 )( x - 1 )
The sum of two The perimeter of a rectangle is 30cm. If the length is 3 cm longer than the width, find
the rectangle’s dimensions.
Answer:
Width: 6 cm
Length: 9 cm
Step-by-step explanation:
Width: x
Length: x + 3
2(x)+2(x+3) = 30cm
2x + 2x + 6 = 30
4x = 30-6
x = 24/4
x = 6
2x-y=3 x+3=4 solve by substitution
Hilda adds 5 to a number, then multiplies the sum by -2. The result is 6. Write an equation to find the number x.
Answer:
x+5·-2=6
Step-by-step explanation:
Jackson has $1.50 in quarters and dimes. Let x represent the number of quarters and y represent the number of dime. Find the domain and range of this situation.
Answer:
3 dimes
Step-by-step explanation:
Part A: 0.10x + 0.25 = 0.80 (dimes are 10 cents or 0.10 dollars, quarters are 0.25 dollars)
Part B: Plug in what you DO know and solve the one you DON’T:
0.10x + 0.25(2) = 0.80
0.10x + 0.50 = 0.80. Subtract 0.50 from both sides:
0.10x = 0.30 (Divide both sides by 0.10)
x = 3
pls need help now getting timed
9c + 1 = 10
solve step by step
Answer:
9c + 1 = 10
-1 -1
9c = 9
divide each side by 9
c = 1
Answer:
c = 1
Step-by-step explanation:
9c + 1 = 10 9c = 10 - 19c = 9c = 9/9c = 1What is the answer to: 2m + 4 – 8m = 28
Answer:
The answer is M is -4
Step-by-step explanation:
You have to get the m by itself to figure out what equals m.
Hope this helps!
Please help!!!!!!!!!!!!!!!!!!!
Answer:
Error in step 2 and step 3, corrected below
Step-by-step explanation:
Step | Justification
6 + x/3 = 15 | Given
x/3 = 15 | Subtract 6 from each side. Should be subtraction property
x = 27 | Multiply both sides by 3. Should be multiplication property
pls try doing these 3 it is only one question each page
Answer:
yes
Step-by-step explanation:
Answer: 14x+11 ,8x−20,6x+12,1
Step-by-step explanation:
(4)(2x)+(4)(−1)+(3)(2x)+(3)(5)
=8x+−4+6x+15
Combine Like Terms:
=8x+−4+6x+15
=(8x+6x)+(−4+15)
=14x+11
(6)(2x)+(6)(−3)+(−2)(2x)+(−2)(1)
=12x+−18+−4x+−2
Combine Like Terms:
=12x+−18+−4x+−2
=(12x+−4x)+(−18+−2)
=8x+−20
(2)(5x)+(2)(3)+(−2)(2x)+(−2)(−3)
=10x+6+−4x+6
Combine Like Terms:
=10x+6+−4x+6
=(10x+−4x)+(6+6)
=6x+12
What is the answer!!!
NEED HELP PLS!! DUE TODAY!! 20 POINTS!!
Given this equation;
5p + 3 = 15
Write a situation that this equation could help you solve and explain how each part of the equation relates to the situation you create.
Answer: p=2.4
Step-by-step explanation:
5p + 3 = 15
subtract 3 from both sides and you get
5p = 12
then you divide both sides into 5 and you get
p=2.4 (as a fraction it is: 12/5)
your welcome
-5/9 + (-7/12)
Reduce to simplest form
Answer:
[tex]-\frac{41}{36}[/tex]
Step-by-step explanation:
To add or subtract fractions, we need to make their denominators equal. To do so, we find the Least Common Denominator (LCD), then rewrite the fractions in the equation with that denominator.
The LCD of 9 and 12, the denominators, is 36 because [tex]9*4=36[/tex] and [tex]12*3=36[/tex].
Thus:
[tex]-\frac{5*4}{9*4} =-\frac{20}{36}[/tex] and [tex]-\frac{7*3}{12*3} =-\frac{21}{36}[/tex]
Now, add the fractions together.
[tex]-\frac{20}{36} -\frac{21}{36} =-\frac{20+21}{36} =-\frac{41}{36}[/tex]
Thus, the answer is [tex]-\frac{41}{36}[/tex].
Please help me to this MATH
Step-by-step explanation:
1)3/8
2)3/10
3)1
4)1
5)5/6
1-2 I multiplied both numerators and denominators
it is when they are the same numbers
I converted the mixed fraction into an improper fraction before multiplication
1=3/82=3/103=1/1=14=1/1=15=5/6
question 1 multiplied each numbers nominator by nominator and denominator by denominator so,3/4×1/2 ;3×1/4×2=3/8Q-2; 3/5×1/2 =3×1/5×2 =3/10Q-3; 1/9×9 =1/9÷9/1 =1×9/9×1 =9/9=1Q4;5/1×1/5 =5×1/1×5= 5/5 =1question 4 is the same with question 3 when fractions multiplied by integers like 1,2,3,-1,-2...... we assume there is a denominator 1 so 5 means 5/1 Q5; first we convert the complex (mixed)fraction to a/b form .there fore ; 4 1/6 covertde to fractional form by multipling 6×4+1/6= 24+1/6 =25/6 4 1/6 is equal with 25/6 now we multiply 25/6 by 1/5: 25/6÷1/5 =25×1/6×5 =25/30 =5/6.I think it is help ful for you
i got this wrong and i have no idea how to fix it
Answer:
789
Step-by-step explanation:
irdk
Gemdas pls help
7x8+14/7-3+6
Answer:
13
Step-by-step explanation:
7x8 is 56
and plus 14 is 70. D
divided by 7 is 10
minus 3 is 7
+16 is 13
