Step-by-step explanation:
a lot of typos in the problem description.
if I understand correctly, the line contains the point (5, 10) and has a slope of 1.
and we need to give the line equation in slope-intercept form.
that means it has to look like
y = ax + b
a is the slope and b is the y-intercept (hence the name of the form).
we know a = 1.
we can use use the point-slope form to start and then transform it into the slope-intercept form.
point-slope means
y - y1 = a(x - x1)
a is again the slope, and (x1, y1) is a point on the line.
so,
y - 10 = 1(x - 5) = x - 5
now we transform it (adding 10 on both sides)
y = x + 5
and that's it.
Explain plzzzzzzzzzzzzzz
Answer:
8/3
Step-by-step explanation:
x equals 8/3
7x_2_4x_6=0
3x=8 ÷3 in both sides
Find the value of x. Round to the nearest degree.
Find the equation that represents the proportional relationship in this graph, for y in terms of x.
Answer:
y = 0.4 x
Step-by-step explanation:
Help...................
Step-by-step explanation:
the surface area of that object consists of
2 triangles (one left, one right)
1 rectangle at the top
1 rectangle at the bottom
1 rectangle in the back
so, we need to calculate the area of each of these 5 areas and sum them up. that's it.
the area of such a triangle is
6×8/2 = 24 m²
we have 2 such triangles, so in total they are 48 m².
the rectangle at the top
10×12 = 120 m²
the rectangle at the bottom
12×8 = 96 m²
the rectangle in the back
12×6 = 72 m²
so the total surface area is
48 + 120 + 96 + 72 = 336 m²
W/5+20=22. How do I do this
Answer:
W = 10
Step-by-step explanation:
W / 5 + 20 = 22
W / 5 - 20 = 22 - 20
W / 5 = 2
W * 5 = 2 * 5
W = 10
Step-by-step explanation:
[tex] \frac{w}{5} + 20 = 22 \\ \\ \frac{w}{5 } = 22 - 20 \\ \\ \frac{w}{5} = 2 \\ \\ w = 5 \times 2 \\ \\ w = 10[/tex]
What is that answer Share 126 gallons of petrol between Steve and Dave in the ratio 2:5
Solve the inequality below for z.
8z+3>3z-17
A.z>-4
B.z<-14/5
C.z<-4
D.z>-14/5
Therefore, the solved inequality is z > -4.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Look at the top questions. Pls I need help asap I don’t get it
Which of the following graphs is described by the function given below?
y = 2x2 + 6x + 3
5
101
10
10
-20
20
- 10
10
-10
20-
101
A.
B.
C.
D.
A. Graph A
B. Graph B
O C. Graph C
D. Graph D
Answer:
Which of the following graphs is described by the function given below?
y = 2x2 + 6x + 3
-A. Graph A
The function y = 2x^2 + 6x + 3 is a quadratic function that has a vertex of (-1.5,-1.5)
How to determine the graph of the function?The equation of the function is given as:
y = 2x^2 + 6x + 3
Differentiate
y' = 4x + 6
Set to 0
4x + 6 = 0
This gives
4x = -6
Divide by 4
x = -1.5
Substitute x = -1.5 in y = 2x^2 + 6x + 3
y = 2(-1.5)^2 + 6(-1.5) + 3
Evaluate
y = -1.5
This means that the function y = 2x^2 + 6x + 3 has a vertex of (-1.5,-1.5)
See attachment for the graph of y = 2x^2 + 6x + 3
Read more about quadratic graphs at:
https://brainly.com/question/18797214
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Which symbol correctly compares the two angle measures? pi/4 radians_____30°
A. <
O B. >
C. =
I don't know the answer and thats my guess :,)
Answer:
B. [tex]\frac{\pi }{4} Rad>30^{0}[/tex]
Step-by-step explanation:
[tex]\frac{\pi }{4} Rad=(180/4)^{0} =45^{0}[/tex]
Hope this helps
The midpoint of AB is M(1, -4). If the coordinates of A are (-3, -6), what are the coordinates of B
Answer:
Step-by-step explanation:
x value of M is 1 - (-3) = 4 units to the right of A
B will be another 4 units to the right of M or x = 1 + 4 = 5
y value of M is -4 - (-6) = 2 units above A
B will be another 2 units above M or y = -4 + 2 = -2
B = (5, -2)
please help me on this one would be great help.
Answer:
60
Step-by-step explanation:
1/2x + 4 = 10
solve the following equation algebratically. Show the work to support the answer.
Answer:
(1/2)x + 4 - 4 = 10 - 4
2(1/2)x = 6 * 2
x = 12
Find two numbers whose sum 7500 and whose product is the maximum value.
(Round your answer to the nearest whole number.)
Blank = 1
Blank = 2
The two numbers whose sum is 7500 and whose product is a maximum value are 3750 and 3750.
Let the two numbers be x and y.
Since their sum equals 7500,
x + y = 7500 (1)
Their product f(x,y) = xy (2)
We desire to maximize the product.
From (1), x = 7500 - y
Substituting x into (2), we have
f(x,y) = xy
f(x,y) = (7500 - y)y
f(y) = 7500y - y²
To maximize the product, we find the value of y that maximizes f(y), we differentiate f(y) and equate it to zero.
So, df(y)/dy = d(7500y - y²)/dy
f'(y)/dy = d(7500y)/dy - dy²/dy
f'(y)/dy = 7500 - 2y
Equating it to zero, we have
7500 - 2y = 0
7500 = 2y
y = 7500/2
y = 3750
To determine if this gives a maximum for f(y), we differentiate f'(y) with respect to y.
So, f"(y) = d(7500 - 2y)dy
f"(y) = 0 - 2
f"(y) = -2 < 0.
So, y = 3750 gives a maximum for f(y) = f(x, y)
Since x = 7500 - y
Substituing y = 3750 into the equation, we have
x = 7500 - 3750
x = 3750
So, the two numbers whose sum is 7500 and whose product is a maximum product are 3750 and 3750.
Learn more about product of two numbers here:
https://brainly.com/question/15607519
Evaluate the expression for m = 45.
m|
54
Submit
[tex]|m| -54\\\\\text{When}~ m=45,\\\\|45| -54 = 45 -54 = -9[/tex]
[tex]\huge\textbf{Hey there!}\\\\\\\\\\\\\\\huge\boxed{\mathbf{|m| - 54 = }}\\\huge\boxed{\rightarrow \mathbf{|45| - 54 = }}\\\huge\boxed{\mathbf{\rightarrow 45 - 54}}\\\\\huge\text{Start at 45 and go back 54 to the left.}\\\huge\text{You should be left on \boxed{\bf -9}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{-9}}}\checkmark\\\\\\\\\\\\\\\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Don Swifter earns $9.75 per hour as a clerk. He starts work Monday through Friday morning at 8:00 AM. He takes a one-half hour lunch break every day. If he finishes work at 3:30 PM Monday through Thursday, how late must he work on Friday to have total pay of $360.75 for the week?
Answer:
He works until 5:30.
Step-by-step explanation:
ok so first, every day don would take a total of 7 hours and 30 minutes on mon-Thurs. If we subtract his lunch from that total it would be 7 hours so next we do 7 hours times 9.75 which is 68.25$. Now that we know how much he makes per day, we times that by 4 since mon-thurs is 4 days. This would be 273$. Now we need to get to 360.75 so we subtract that. This would be 87.75$. Now if a normal day is 68.25$ and friday is 87.75, we find the diffrence which is 19.50. which is also 9.75(an hour) x 2 resulting in 2 hours extra. Therefore, he works 9 hours and 30 minutes on fridays (until 5:30). Thanks for putting in the work to understand and have a nice day!
Don must work approximately 9 additional hours on Friday to have a total pay of $360.75 for the week.
How to determine how late he must workDon works from 8:00 AM to 3:30 PM Monday through Thursday. Let's calculate his total work hours for these four days:
Total work hours from Monday to Thursday:
(3:30 PM - 8:00 AM) - 0.5 hours (lunch break)
= 7.5 hours - 0.5 hours
= 7 hours (per day)
Total work hours for the week (Monday to Thursday):
4 days x 7 hours/day = 28 hours
Total pay for the week = Hourly rate x Total work hours + Additional hours on Friday
$360.75 = $9.75 x 28 hours + Additional hours on Friday
Additional hours on Friday = ($360.75 - $9.75 x 28) / $9.75
Additional hours on Friday = ($360.75 - $273) / $9.75
Additional hours on Friday = $87.75 / $9.75
Additional hours on Friday ≈ 9 hours (rounded to the nearest hour)
Learn more about work hours
https://brainly.com/question/3164396
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Write -37.75 as a mixed number.
Answer:
[tex]-37\frac{3}{4}[/tex]
Step-by-step explanation:
0.75 is equivalent to three quarters, or (3/4).
3/4 would be the fraction. -37 would be the whole number.
[tex]-37.75 = \boxed{-37\frac{3}{4}}[/tex]
Hope this helps.
Answer:
- 37 3/4
Step-by-step explanation:
If a person walks 1/3 mile in 15 minutes, how far will that person walk in one hour?
Answer: 1 1/3 miles
Step-by-step explanation:
Since we know that an hour is 60 minutes, and 60 divided by 15 = 4, then we can multiply 1/3 times 4 to get the total number of miles in 60 minutes.
1/3 X 4 = 4/3
4/3 = 1 1/3
Therefore, the answer is 1 1/3 miles.
Therefore, in an hour, a person will walk 4/3 mile.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
I MARK BRAINLIEST AND 50 points!!! find the magnitude of the resultant. forces of 92.6 lb and 118 lb act on an object. the angle between the forces is 75.2°.
a) 208 lb
b) 130 lb
c ) 168 lb
d) 150 lb
Answer:
This a vector addition problem and you need to know the law of cosines and law of sines to solve this problem.
Two vector forces of 80lbs and 70 lbs act on an object at 40 degree angle between them.
The magnitude of the resultant force can be found by applying the law of cosines:
c2 = a2 + b2 - 2abcos140°
where a = 80, b = 70 and c is the resultant force vector you are asked to find
Once you find the magnitude of the resultant force, then you can find the angle it makes wrt the 70lb force using the law of sines:
sinα/a = sin140°/c
where α is the angle opposite side a, or the angle between the resultant and the 70lb vector that you are asked to find. so it would be 140lbs
Step-by-step explanation
1 A polynomial expression of degree three is shown below.
8x3 + 125
Which expression represents the correct factorization of the polynomial?
A (2x + 5)(4x2 + 10x + 25)
B (2x + 5)(4x2 + 10x - 25)
C (2x + 5)(4x2 - 10x + 25)
D (4x + 25)(2x2 - 10x + 5)
Answer:
D şıkkı iyi dersler hadi
Answer:
C: [tex](2x+5)(4x^2-10x+25)[/tex]
Step-by-step explanation:
First of all, you need to be able to recognize the two terms as cubes, and what they are cubes of. In this case, [tex]8x^3 = (2x)^3[/tex] and [tex]125=5^3[/tex].
Then you have to find a way you like to remember the formula for how to factorize. The way I do it is by saying "the binomial has the same zero as the original, so [tex]x^3+a^3=(x+a)(...)[/tex] and [tex]x^3-a^3 = (x-a)(...)[/tex] and the whole expression has one minus sign attached to the second term of either factor. In the sum of cubes first parenthesis has a plus, so the second term of the other parentesis has to take that minus: [tex]x^3+a^3=(x+a)(x^2-ax+a^2)[/tex] while in the difference of cubes you already used a minus, so everything else goes plus: [tex]x^3-a^3=(x-a)(x^2+ax+a^2)[/tex]
Or you commit the two formulas to memory.
A 3-inch candle burns down in 4 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context
use this equation:
b+t+3+4
2x-y=3
X+y=3
Slove equations algebraially
HELP! I don't understand
Answer:
Step-by-step explanation:
Perform the indicated operations/solutions.
1. 12-7+45÷15x11=
2. 16x2+12-18÷9-4=
Determine if a relation is a function {(-1,5), (2, 7), (-3,2), (-1, 1)}
Answer:
Step-by-step explanation:
A relation is only a function if ALL the x-values (the first number in the pairs) ONLY have one partner.
Check that -1
At first that -1 is paired up with a 5 in the ordered pair (-1, 5) but then later... that -1 is down there hanging out with a 1 in the last ordered pair (-1, 1).
This means that this relation (all the pairs lumped together) is NOT a function. Just because of that -1 pairing up with more that one partner.
What is the second number in the sequence?
Answer:
Step-by-step explanation:
Let "n" be the second odd number in the sequence
(n - 2) + n + (n + 2) + (n + 4) + (n + 6) = 135
5n + 10 = 135
5n = 125
n = 25
23 + 25 + 27 + 29 + 31 = 135
Which equation best matches the scenario below?
The total cost t is proportional to the number n of items purchased at a constant price of $4.
A) 4t = n
B) t = 4n
C) t = n ÷ 4
D) 4t = 4n
Answer:
Definetly t = 4n
Try changing these improper fractions to mixed numbers.
16/5?
( teach me how to solve this please!)
Answer:
3 1/5
Step-by-step explanation:
The improper fraction 16/5 is called improper because the top number(the numerator) is bigger than the bottom number(the denominator) we "fix" this by dividing and creating a mixed number (it is called mixed because there is a whole part and a fraction part):
As 16÷5 >>> doing this division gives you 3 wholes and 1/5 leftover. We write this as
3 1/5 (in handwriting the three is big and the 1/5 is a fraction, it is the mixed number they are asking you for)
What is the slope of the line?
Answer:
[tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
If we take points [tex](1,1)[/tex] and [tex](4,0)[/tex] from the line, we can determine the slope:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{0-1}{4-1}=\frac{-1}{3}=-\frac{1}{3}[/tex]
Therefore, the slope of the line is [tex]-\frac{1}{3}[/tex]
In an A.P. if Tₚ = q and Tq = p, then find the rth term.
Please solve this problem
Formula:
We know that
nth term of the AP is Tn = a+(n-1)d
Where, a = First term
d = Common difference
n = number of terms
Now,
Given that
pth term of the A.P. = Tp = q
⇛a + (p-1)d = q
⇛(p-1)d = q - a
⇛d = (q-a)/(p-1) →→→→(i)
and
qth term of the A.P. = Tq = p
⇛a + (q-1) d = p
⇛ (q-1)d = p-a
⇛ d = (p-a)/(q-1) →→→→(ii)
From Eqn(i) and Eqn(ii)
⇛(q-a)/(p-1) = (p-a)/(q-1)
On applying cross multiplication then
⇛(q-a)×(q-1) = (p-a)×(p-1)
⇛q²-q-aq+a = p²-p-ap+a
⇛q²-q-aq = p²-p-ap
⇛ap-aq = p²-p+q-q²
⇛a(p-q) = (p²-q²)-(p-q)
⇛a(p-q) = (p+q)(p-q)-(p-q)
⇛ a(p-q) = (p-q){(p+q)-1}
On cancelling (p-q) both sides then
⇛a = (p+q-1) →→→→Eqn(iii)
On Substituting the value of a in Eqn(ii) then
⇛ d = [p-(p+q-1)]/(q-1)
⇛d = (p-p-q+1)/(q-1)
⇛d = (-q+1)/(q-1)
⇛d = -(q-1)/(q-1)
⇛d = -1
We have,
a = p+q-1 and d = -1
Now, rth term of the AP
⇛ Tr = a + (r-1)d
⇛Tr = (p+q-1)+(r-1)(-1)
⇛ Tr = p+q-1+(-r+1)
⇛ Tr = p+q-1-r+1
⇛ Tr = p+q-r
Therefore, Tr = p+q-r
Answer: rth term of the given A.P. is p+q-r
Answer:
rth=q+p+qxp
Step-by-step explanation:
rth= 3 of the T and Tq added together and joined.