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Complete Question
Mr Sampson fills the family pool with water for the summer.After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.If the relationship between time and water depth is proportional,what is the constant of proportionality?
Answer:
1.33
Step-by-step explanation:
Time is proportional to Depth
Hence:
T ∝ D
T = kD
Where k is the constant of proportionality
After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.
Total number of hours now is 3 + 2 = 5 hours
5 = k × 3 3/4
5 = k × 3.75
k = 5/3.75
k = 1.33
A student writes the equation for a line that gas a slope of -6 and passes through the point (2,-8).
Y-(-8)=-6(x-2)
Y-(-8)=-6x+12
Y-(-8)+8=-6x+12+8
Y=-6x+20
Explian why the work is not correct.
What is the solution of the linear-quadratic system of equations?
y=x' + 5x + 7
y = x +4
Answer:
[tex]\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=x^2+5x+7,\:y=x+4\mathrm{\:are\:}[/tex]
[tex]\begin{pmatrix}x=-1,\:&y=3\\ x=-3,\:&y=1\end{pmatrix}[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]y=x^2\:+\:5x\:+\:7[/tex]
[tex]y\:=\:x\:+4[/tex]
steps to solve the system of the equations
[tex]\begin{bmatrix}y=x^2+5x+7\\ y=x+4\end{bmatrix}[/tex]
subtract the equations
[tex]y=x^2+5x+7[/tex]
[tex]-[/tex]
[tex]\underline{y=x+4}[/tex]
[tex]y-y=x^2+5x+7-\left(x+4\right)[/tex]
[tex]0=x^2+4x+3[/tex]
solving
[tex]0=x^2+4x+3[/tex]
[tex]\left(x+1\right)\left(x+3\right)=0[/tex]
[tex]x+1=0\quad \mathrm{or}\quad \:x+3=0[/tex]
[tex]x=-1,\:x=-3[/tex]
[tex]\mathrm{Plug\:the\:solutions\:}x=-1,\:x=-3\mathrm{\:into\:}y=x^2+5x+7[/tex]
substitute [tex]x=-1[/tex] into [tex]y=x^2+5x+7[/tex]
[tex]y=x^2+5x+7[/tex]
[tex]y=\left(-1\right)^2-5\cdot \:1+7[/tex]
[tex]y=1-5+7[/tex]
[tex]y=3[/tex]
Now substitute [tex]x=-3[/tex] into [tex]y=x^2+5x+7[/tex]
[tex]y=x^2+5x+7[/tex]
[tex]y=\left(-3\right)^2+5\left(-3\right)+7[/tex]
[tex]y=3^2-15+7[/tex]
[tex]y=3^2-8[/tex]
[tex]y=9-8[/tex]
[tex]y=1[/tex]
[tex]\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=x^2+5x+7,\:y=x+4\mathrm{\:are\:}[/tex]
[tex]\begin{pmatrix}x=-1,\:&y=3\\ x=-3,\:&y=1\end{pmatrix}[/tex]
What is the slope of the line y=-2x+1
Answer:
-2
Step-by-step explanation:
I will mark u as the brainiest if u get this correct
thx
x
Answer:first fine the perimeter 42cm then do the lenth then width and u get the answer
Step-by-step explanation:
or find it on google
Answer:
length= 14cm and width= 7cm
Step-by-step explanation:
The ratio of the length to width is 2:1 so [tex]\frac{length (l)}{width(b)} =\frac{2}{1}[/tex] The perimeter is the sum of 2 length sides and 2 width sides so [tex]perimeter=length+length+width+width=2length+2width[/tex] Now from the ratio we know [tex]\frac{length (l)}{width(b)} =2[/tex] so [tex]length=2width[/tex] So put that into the perimeter equation[tex]perimeter=2(2width)+2width[/tex] so the perimeter is 42cm[tex]42cm=2(2width)+2width\\42cm=4width+2width\\42cm=6width\\width=7cm[/tex] Since length is twice the width, length is 14 cm5x = 10 can someone help me
Answer:
X=2
Step-by-step explanation: To get a single
x
, divide
5
x
by
5
.
Whatever you do to one side of the equals sign, you must do to the other side. This means, to get the right answer, you must do
5
x
5
=
10
5
The
5
's on the left side of the equals sign cancel out so it would make
5x5=105
and then
x=105105
is equal to
2
so...
x=2
Answer: Hey user! x = 2.
Step-by-step explanation: Step 1: Divide both sides by 5.
5x /5 = 10 /5
x=2
Consider marking this answer as brainliest if it helped you out.
PLEASE ANSWER ASAP AND ILL MARK YOU BRANLIEST!!!
Help PLS!! (Attached photo only 2 questions you can answer one of them) pls and thank you
Answer:
Yes (Answer to number 9)
Step-by-step explanation:
Isaac's answer is reasonable because if you do 365 times 8 you get 2,920. There are 365 days in a year and he said he drinks 8 glasses a day so that's how you get those numbers.
TIMED
Find the slope
Answer: The slope is -1.
Solve the equation.
−10=−b4
Answer:
b = 1.778279, −1.778279
Step-by-step explanation:
-10=b4 <----- Write your equation out
-10=[tex]\frac{b4}{4}[/tex] <----- Divide b4 by 4 to get b by itself.
[tex]\frac{-10}{4}[/tex]=b <----- Divide -10 by 4 because what you do to one side, you mjst do to the other.
-2.5=b <----- There is your answer; -2.5
If you worked 120 hours in the summer and were paid $10 an hour, how much money would you expect to receive?
Please help this is urgent I will be giving brainlyest to the first and correct answer!!!!! This question will be worth a lot of points too. Please do it right and fast this is really urgent! Tysm!
Answer:
Step-by-step explanation:
Hope this helped (:
what is the value of 6^-3
WHOEVER IS CORRECT GETS BRAINLIEST
The high temperature one day was 30°F. Then
the temperature dropped 23 degrees during the
night. Does the expression 30 + (-23) represent
the temperature at night? Explain
PLEASE EXPLAIN THE LAST PART BCS THEN IT GET MARKED WRONG. THANKS YOUUU
WHOEVER ANSWERS FIRST GETS BRAINLIEST
Answer:
yes because 30 + -23 and 30-23 gives the same value which is 7
Step-by-step explanation:
HELP NOWWWW!!!! A skier needs to buy new ski poles during a trip to Utah. The price of the poles is $24 and the sales tax is 4.7%. What is the total cost of the poles, including tax, rounded to the nearest cent?
Answer:
$25.13
Step-by-step explanation:
SALES PRICE = COST PRICE + SALES TAX
= $24 + $1.128 = $25. 128
to the nearest cent would be .13
The solution is x = 6 7x = 42
True
False
Someone help me ASAP
(Will Mark BRAINLIEST)
Which of the following correctly completes the equation below?
0.63 x ____ = 630
101
102
103
100
Answer:
100 is the closest but that only leaves you with 63 not 630. It would have to be 1000.
Step-by-step explanation:
Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his
delivery times on different days.
(a) what is the equation of the line, first written in point-slope form and then written in slope- intercept form? show how you determined the equation.
(b) based on the linear model, predict how long it initially took peter to deliver his packages (y-intercept) approximately how much did his delivery time decrease per day (slope)? Complete sentences
Answer/Step-by-step explanation:
a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as [tex] y - b = m(x - a) [/tex], where,
m = slope, and (a, b) is a point on the line.
Using two points, (6, 12) and (3, 21), let's find slope, m.
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3 [/tex]
Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in [tex] y - b = m(x - a) [/tex].
✅Equation in point-slope form would be:
[tex] y - 12 = -3(x - 6) [/tex]
Rewrite this to make it be in the slope-intercept form, [tex] y = mx + b [/tex].
[tex] y - 12 = -3(x - 6) [/tex]
[tex] y - 12 = -3x + 18 [/tex]
Add 12 to both sides
[tex] y = -3x + 18 + 12 [/tex]
[tex] y = -3x + 30 [/tex]
✅The equation in slope-intercept form is [tex] y = -3x + 30 [/tex]
b. ✍️Based on the linear model, [tex] y = -3x + 30 [/tex], the 30 represents b = y-intercept.
✅Therefore, it took Peter 30 mins long initially to deliver his package.
✍️Based on the linear model, [tex] y = -3x + 30 [/tex], "-3" represents the slope.
✅Therefore, Peter's delivery time decreased 3 mins per day.
In a system of two linear equations, the lines represented by each equation have the same slope and different y-intercepts. Which would be the total number of solutions to the system of equations?
Answer:
There will be no common solution
Step-by-step explanation:
Given that the lines that represent the equations in the system of the two linear equations have equal slope but that their y-intercept are different, we have;
The two lines are parallel to each other
The two lines are different lines, given that they have different y-intercept
By definition of parallel lines, we have that the two lines representing the two equations will never meet, and therefore, both equations do not have a common solution which is a value that satisfies both equations
Therefore, the two equations in the linear system of equations, do not have a common solution
Which is the cubic polynomial in standard form
with roots 3, -6, and 0?
Group of answer choices
x^2 - 3x - 18
x^3 - 3x^2 - 18x
x^2 + 3x - 18
x^3 + 3x^2 - 18x
Answer:
D
Step-by-step explanation:
Roots are the solution to a polynomial equation. So construct the factors of the polynomial. (x-3)(x+6)(x-0). Now multiply the factors and you will get option D.
consider the conditional statement: if it swims in the water, then it is a fish
What is the truth value of the statement in this question? If false, give a counterexample! Pls help! I’ll give brainliest :)
it is not true, some things that swim in water are not fish. counterexample: whales (they swim in water but aren't fish)
Solve
10/r > 1; r = 5
Answer:
10/5 = 2
so its 2>1
Step-by-step explanation:
I need help with this: 100 marked down 65%
Answer:
The item is now 35$.
Step-by-step explanation:
First, find 65% of 100, which is 65. Then subtract the discount, or the "mark down" from 100. This gets you $35, so the item is $35 after the mark down.
.Ahmed is making pancakes, his recipe uses 150g of flour for 8 pancakes. How much flour will he need to make 12 pancakes? Remember to give units in your answer.
Answer:
Ahmed needs 225g of flour to make 12 pancakes.
Step-by-step explanation:
With the information provided, you know that the recipe uses 150g of flour for 8 pancakes and you can use a rule of three to find the amount of flour needed to make 12 pancakes:
150g → 8 pancakes
x ← 12 pancakes
x=(150*12)/8= 225g
According to this, the answer is that Ahmed needs 225g of flour to make 12 pancakes.
what is the slope of line QR if Q(11,-2) and R(11,6)
Answer:
noe lsoocslo oqiuepcn
Step-by-step explanation:
mcm
Jaythen finds a shirt on sale for 10% off at a store. The original price was $20. Jaythen must also pay 8.5% sales tax. How much is the shirt before taxes? *
How much does Jaythen pay total for his shirt after taxes? *
Answer:
the shirt before taxes is $18. the shirt after taxes is 19.53
Step-by-step explanation:
you multiply 20x.10 and you'll get 2. so you subtract 2 from 20, that's $18.
to get taxes, you multpliply 18x.085 and you get $1.53.
you then add $1.53 to 18 and you get your total price of $19.53
Answer:
Before taxes, the shirt was $18. After taxes. the shirt is $19.53
Step-by-step explanation:
pneumonoultramicroscopicsilicovolcanoconiosis
unscramble that
Answer:
pneumonoultramicroscopicsilicovolcanoconiosis is the word
Step-by-step explanation:
The area of a circle is 95.75cm2.
Find the length of the radius rounded to 2 DP.
Answer:
5.52 cm
Step-by-step explanation:
area of circle =pi r^2
r=square root (95.75/pi)
=5.52
Help!!!!! Very urgent!!!!!!
Answer:
π /2
Step-by-step explanation:
If f(x) = x - 3 and g(x) = x^2, what is the value of (fºg)(2)?
1. 1
2. -1
3. 4
4. -4
Answer:
1
Step-by-step explanation:
First we need to find g (2) from g (2) = 2 ^ 2 to 4.
the result is 4, so f (4) asks, so f (4) = 4-3 = 1
i need to find x in #9 and w in #10
Step-by-step explanation:
9. 131+106+67+x=360
237+67+x=360
304+x=360
x=56
10. 90+90+146+w=360
180+146+w=360
326+w=360
w=34