First we need to differentiate y
[tex]\\ \sf\Rrightarrow \dfrac{dy}{dx}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{d}{dx}(-16x^2-110x+15)[/tex]
[tex]\\ \sf\Rrightarrow -32x-110[/tex]
Now let it be 0
[tex]\\ \sf\Rrightarrow -32x-110=0[/tex]
[tex]\\ \sf\Rrightarrow -32x=110[/tex]
[tex]\\ \sf\Rrightarrow x=|110/-32[/tex]
[tex]\\ \sf\Rrightarrow x=3.44s[/tex]
Put it in y
[tex]\\ \sf\Rrightarrow y=15-110(3.44)-16(3.44)^2[/tex]
[tex]\\ \sf\Rrightarrow y=204.05ft[/tex]
Evaluate 4(2a – b) when a = –1 and b = 5.
–48
–28
–12
32
Hey There!
Question:-[tex]\sf \longmapsto \: 4(2a - b)[/tex]
This is a algebraic expression. The values of a and b are given. The values are as follows :-
a = -1
And,
b = +5 .
Solution:-[tex]\sf \longmapsto4(2a - b)[/tex]
Note that a is multiplied with 2 that is :-
[tex]\sf \longmapsto4(2 \times a \: - b)[/tex]
Now, Insert the values that is a = -1 and b = 5 :-
[tex]\sf \longmapsto4(2 \times - 1 - 5)[/tex]
Here,we need to follow BODMAS Rule.
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
We need to solve the bracket's calculations first as it is the rule.
So, Firstly Multiply (2 × -1) :-
[tex]\sf \longmapsto4( - 2 - 5)[/tex]
Note that, (-) × (-) equals to (+).
So, it will be 5+2,But as 5 is bigger number than 2, 5 contains a minus sign.So the result will be -7.
[tex]\sf \longmapsto4( 5+ 2)[/tex]
On Simplification:-
[tex]\sf \longmapsto4( - 7)[/tex]
[tex]\sf \longmapsto4 \times (- 7)[/tex]
[tex]\sf \longmapsto \: - 28[/tex]
______________________________________
Henceforth the solution of the algebraic expression is :-
[tex] \bf \:- 28[/tex]
Option B is correct!
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
Encuentra las dimensiones de un rectangulo cuyo perímetro es 26 mts y el área es 40m2
Answer:
Las dimensiones del rectángulo son:
lado corto: 5 cm
lado largo: 8 cm
Step-by-step explanation:
Consideraciones:
El perímetro de un rectángulo se calcula así:
p = 2(lado corto + lado largo)
El área de un rectángulo se calcula así:
a = lado largo * lado largo
Planteamiento:
26 = 2(a+b)
40 = a*b
a = lado largo
b = lado corto
Desarrollo:
de la primer ecuación del planteamiento:
26/2 = a+b
13 = a+b
13-a = b
sustituyendo este último valor en la segunda formula del planteamiento:
40 = a(13-a)
40 = 13*a + a*-a
40 = 13a - a²
-a² + 13a - 40 = 0
a = {-13±√((13²)-(4*-1*-40))} / (2*-1)
a = {-13±√(169-160)} / -2
a = {-13±√9} / -2
a = {-13±3} / -2
a₁ = {-13-3} / -2 = -16 / -2 = 8
a₂ = {-13+3{ / -2 = -10 / -2 = 5
Archie and Michael are helping their friend George move the washers and dryers from his laundromat to a larger building. Archie's truck is carrying three washers and four dryers that have a combined mass of 1260 kg Michael's truck is carrying two washers and three dryers that have a combined mass of 880 kg.
How much does one of George's washers weigh?
Answer:
A
Step-by-step explanation:
Yes
HELP!!!
7 + y = ‐2
Please solve this WITH your math please don't just post the answer! Whoever does this first will get brainliest!
Answer:
y=-9
Step-by-step explanation:
7+y=-2
subtract 7 on both sides
Answer:
y= -9
Step-by-step explanation:
This is a one-variable equation.
7+y= -2
We can subtract 7 from both sides to isolate y
7 + y - 7= -2 - 7
After simplifying, we get
y= -9
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 25 cm cube is built from small cubes, each 5 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
30:1
5:1
3:1
2:1
Answer:
5:1
Step-by-step explanation:
What is the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio? Negative one-eleventh One-eleventh Two-fifteenths Fifteen-halves.
The location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is [tex]\frac{1}{11}[/tex].
The given parameters:
Partition of the line segment = 5:6The total segment of the directed line segment from D to E in the given ratio of 5:6 is calculated as follows;
total segment = 5 + 6 = 11
The value of each partition on the directed line segment is calculated as follows;
[tex]partition = \frac{1}{11} \times distance[/tex]
The distance between point D and point E is calculated as follows;
[tex]D = 5 - (-4)\\\\D = 5 + 4\\\\D = 9[/tex]
The partition of the two points (D to E) is calculated as follows;
[tex]partition = \frac{1}{11} \times 9 = 0.82[/tex]
Thus, we can conclude that, the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is [tex]\frac{1}{11}[/tex].
Learn more about partition of line segments here: https://brainly.com/question/4429522
Answer:
B
Step-by-step explanation:
edge2021
solutions of the quadratic $x^2 + 7x - 18 = 0.$
The solution of the quadratic equation x² + 7x - 18 = 0 will be 2 and negative 9.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic equation is given below.
x² + 7x - 18 = 0
Factorize the quadratic equation, then we have
x² + 7x - 18 = 0
x² + 9x - 2x - 18 = 0
x(x + 9) - 2(x - 9) = 0
(x + 9)(x - 2) = 0
x = 2, -9
The arrangement of the quadratic condition x² + 7x - 18 = 0 will be 2 and negative 9.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
The point (-5,0) is plotted on a coordinate plane.
What is the point of reflection when (-5,0) is reflected across the y-axis?
A-(0,5)
B-(-5,0)
C-(0,-5)
D-(5,0)
[tex]\huge\boxed{Hello! :)}[/tex]
We plot the point (-5,0) on the coordinate plane.
Then, we reflect it over the y-axis.
Remember the rule:
If a point has coordinates (x, y), and the point is reflected over the y-axis, the new point's coordinates are: (-x,y)Let's use this rule now.
We reflect (-5,0) over the y-axis.
(-5,0)
The new point is: (5,0)
[tex]\huge\boxed{(5,0) \: is \: the \: answer. :)}[/tex]
(Option D)
[tex]\boxed{Felicitous\: Girlie\: here\: to\: help}[/tex]
Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.
Which expressions both calculate the number of hours Demetrius works in a 5-day work week?
5
x
+
1
and
5
(
x
+
1
)
5 x plus 1 and 5 times open paren x plus 1 close paren
(
x
+
1
)
×
5
and
5
×
x
+
1
open paren x plus 1 close paren times 5 and
5
×
x
+
1
5
(
x
+
1
)
and
5
x
+
5
5 times open paren x plus 1 close paren and 5 x plus 5
(
x
+
1
)
×
5
and
5
+
(
x
×
1
)
open paren x plus 1 close paren times 5and 5 plus open paren x times 1 close paren
The expressions that can be used to calculate both numbers of hours Demetrius works in 5-day work week is 5(x + 1) and 5x + 5
We are being told that Latisha works x hours each day and Demetrius works 1 more hour each day than Latisha.
So,
Let the amount of works done by Latisha be = xThen, the amount of works done by Demetrius will be = x + 1Thus, the both expression that can determine the number of hours Demetrius works in five days is:
= 5(x + 1) and 5x + 5
This is because if we open the bracket from 5(x+1) and multiply each term in the bracket with 5, we end up having 5x + 5.
5 times open paren x plus 1 close paren and 5 x plus 5 is correct.Learn more about word problems here:
https://brainly.com/question/2610134?referrer=searchResults
NEED HELP ASAP WILL GIVE 100 PTS IN IT HAVE TO BE RIGHT AND I WILL GIVE BRAINIEST
You were helping a friend with their math homework and saw the following work and explanation for one of their answers: (7^0/7^5)^1/5=7^−4/5. They are equivalent because (7/7^5)^1/5=(7^−4)^1/5. You notice their work and explanation are incorrect. Explain why it is wrong and give the correct answer.
Answer:
Step-by-step explanation:
(7^0/7^5)^1/5
= (1 / 7^5)^ 1/5
= (7^-5)^1/5
= 7^-1
= 1/7 is the correct answer.
jerimiah can type 300 words in 1/5 of an hour. How many words can he type in 1 hour
Answer:
1500 words
Step-by-step explanation:
300 times 5 equals 1500.
The question is, “ Which fraction is equivalent to 2/6?
A. 3/7
B.3/9
C.3/12
D.3/8”
I think that’s the question she was trying to adk
Answer:
B .3/9
Step-by-step explanation:
2/6 = 0.333333
3/9=0.333333
ASAP help 50 points Please hurry
Answer:
Step-by-step explanation:
Y=7
Let it be x
[tex]\\ \sf\longmapsto \dfrac{150}{x}=\dfrac{150+150}{280}[/tex]
[tex]\\ \sf\longmapsto \dfrac{150}{x}=\dfrac{300}{280}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{x}=\dfrac{2}{280}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{x}=\dfrac{1}{140}[/tex]
[tex]\\ \sf\longmapsto x=140ft[/tex]
Please help
Me solve this ASAP
Answer:
i dont know it looks complicated
Step-by-step explanation:
copy paste then search it, you might find it.
Use the properties of operations to write an expression equivalent to 4x+1/2+2x-3. Please include explanations. Thanks!
Answer:
[tex]6x -2\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]4x + \frac{1}{2} + 2x - 3[/tex] Addition of like terms
[tex]6x + \frac{1}{2} - 3[/tex] Addition of content terms
[tex]6x -2\frac{1}{2}[/tex]
Mr. Miranda borrowed $8,800 for 12 months at simple interest to pay for a new swimming pool. If Mr. Miranda paid the bank a total of $10,287.20, what was the simple interest rate of the loan?
85.5%
1.4%
16.9%
14.5%
The answer would be b, or 1.4%.
The simple interest rate of the loan will be 16.9%. Then the correct option is C.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
A = P + (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Mr. Miranda acquired $8,800 for a considerable length of time at basic interest to pay for another pool. On the off chance that Mr. Miranda paid the bank a sum of $10,287.20.
The simple interest rate of the loan will be given as,
10,287.20 = 8,800 + [(8,800 x r x 12) / (100 x 12)]
1,487.2 x 100 = 88r
r = (1487.2 / 88) x 100
r = 0.169 x 100
r = 16.9%
The simple interest rate of the loan will be 16.9%. Then the correct option is C.
More about the simple interest link is given below.
https://brainly.com/question/2793278
#SPJ2
what's the interior angle of a regular octagon (eight sided shape) ?
please help asap
Answer:
135 degress
Step-by-step explanation:
An equivalent expression for16x-8
Answer:
8(2x-1)
Step-by-step explanation:
16x-8=8(2x-1)
18 POINTS! WHAT IS THE ANSWER TO 1 2 3 AND 4 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST
Answer:
J, B, A, L
Step-by-step explanation:
The awnser to question one is J, the awnser to questions two is B, the awnser to question three is A and the awnser to question four is L. Hope this helps.
If you change something about an atom, you change the type of element it makes.
A. True
B. False
No links
Answer:
B
Step-by-step explanation:
Depends on what you change. If you change the number of electrons or neutrons, it will still be the same element. It will just become a charged ion or an isotope respectively. If you change the number of protons, it will become a different element.
Hope that helps
What type of triangle is AABC? Select all that apply.
Thank u
Answer:
obtuse and isosceles
Step-by-step explanation:
can somebody help me
i NEED help pleaseee
Solve the system of equations
{y= 15x+9
{y= 1/2x–20
What is the solution to the system?
[tex]y = 15x +9~~~~.....(i)\\\\y = \dfrac 12 x -20~~~ ....(ii)\\\\\\\text{Substitute equation (i) in equation (ii):}\\\\15x +9 = \dfrac 12 x -20\\\\\ \implies 9 +20 = \dfrac x2 - 15 x\\\\\implies 29 = -\dfrac{29 x}2\\\\\ \implies 1 = -\dfrac x 2\\\\\implies x= -2\\\\\text{Substitute}~ x=-2~ \text{in equation (i):}\\\\y = 15(-2) +9 = -30 +9 = -21\\\\\text{Hence}~ (x,y) = (-2,-21)[/tex]
Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.Which expressions both calculate the number of hours Demetrius works in a 5-day work week?
The expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]
If Latisha works [tex]x[/tex] hours each day
Demetrius works one more hour than Latisha each day. Algebraically, Demetrius works [tex](x+1)[/tex] hours each day
So for a [tex]5[/tex]-day working week, Demetrius will work
[tex](x+1)+(x+1)+(x+1)+(x+1)+(x+1)\\=5\times (x+1)\\=5(x+1)hours[/tex]
If we remove the brackets, we have the equivalent expression
[tex]5(x+1)=5x+5[/tex]
So the expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]
Learn more about word problems here: https://brainly.com/question/17067890
20-5+15(25)=b+3+65(23)
Answer:
-1108
Step-by-step explanation:
Answer:
-b=-1108
Step-by-step explanation:
20-5+375=b+3+1495
-375 -375
20-5=b+3+1420
15=b+1423
-b -b
-b+15=1423
-15 -15
-b=1108
20-5+375=-1108+3+1495
390=390
Each batch of 24 cookies needs 2.25 cups of flour. If Stacy and her mom bake 3.5 batches, how much flour is
needed?
Show work !
Answer:
7 7/8 cups of flour
Step-by-step explanation:
2.25 times 3.5 equals 7.875
According to the graph, how many students received an 90 for their first semester grade?
A: 0
B: 2
C: 6
D: 15
The local cable company charges $90 per month for basic cable and $12 per month
for each additional premium cable channel. The function c (x) = 90 + 12x represents
the monthly charge (in dollars), where x represents the number of additional premium
channels. How many additional premium channels would you have ordered if your bill
was $114 per month?
Write the percent as a fraction or mixed number in simplest form.
31.25%
Please show work!