Hope this helps. If it did please mark me brainliest
Answer:
A zero of the polynomial p(x) = 3x + 5 will be a value of x for which p(x) becomes 0. Dividing by 3, to get the value of x, we get: x=−53 , which is the zero of the given polynomial
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]p(x) = 3x + 5[/tex]
Zero of the polynomial,
[tex]3x + 5 = 0 \\ 3x = 0 - 5 \\ 3x = - 5 \\ x = \frac{ - 5}{3} \\ x = - 1.66[/tex]
✐ The zero of the polynomial p(x) = 3x + 5 is -5/3 (fraction form) OR - 1.66 (standard form).
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
An author works on a new book and after writing a few chapters, begins a new plan to write 600 words per day. On the fifth day of working on this plan, 4,500 words have been written. If the equation y = 600x + b represents the total number of words the author has written, y, based on the number of days, x, since the new plan was started, what is the value of b?
Go bad b go bad b go, bad b, ah fat, 40 inch hair yours came in a pack.
Maximum profit. A university student center sells 2,000 cups of coffee per day at a price of $4.0. A market survey shows that for every $0.1 reduction in price, 100 more cups of coffee will be sold. The cost of making one cup of coffee is $1.0. a) how much should the student center charge for a cup of coffee in order to maximize the profit? b) how many cups of coffee is the student center selling per day with this price? c) what is the maximum profit?
Answer:
a) $3.50
b) 2,500 cups
c) $6,250
Step-by-step explanation:
a) The number of cups of coffee the student sells, n = 2,000 cups
The price at which the student sells the coffee, P = $4.0
The number of extra cups sold for every $0.1 reduction in price = 100 cups
The cost of making one cup of coffee, C = $1.0
Let 'x' represent the set charge for a cup of coffee, we get;
The number of cups, nₙ = 2,000 + 100 × (4.0 - x)/0.1 = 6,000 - 1,000·x
Therefore, the revenue is given as follows;
Revenue, R = x × (6,000 - 1,000·x) = 6000·x - 1,000·x² = 1,000·(6·x - x²)
The cost, C = 1 × 6,000 - 1,000·x = 6,000 - 1,000·x
The profit, P = Revenue - Cost
∴ Profit = 6000·x - 1,000·x² - (6,000 - 1,000·x) = 7,000·x - 1,000·x² - 6,000
Profit, P = 7,000·x - 1,000·x² - 6,000 = 1,000 × (7·x - x² - 6)
At the maximum profit, we have; , we have;
dP/dx = 0
∴ dP/dx = d(1,000 × (7·x - x² - 6))/d
dR/dx = 1,000·d(7·x - x² - 6)/dx = 1,000 × (7 - 2·x) = 0
x = 7/2 = 3.5
The price that gives the maximum profit, x = $3.50
Therefore, the amount the student center should charge for a cup of coffee to maximize profit, x = $3.50
b) We have;
The number of cups, n = 6,000 - 1,000 × 3.5 = 2,500
The number of cups of coffee the student center sells at the price that gives the maximum profit, n = 2,500 cups
c) The maximum profit, [tex]P_{max}[/tex] = 1,000 × (7 × 3.5 - 3.5² - 6) = 6,250
The maximum profit, [tex]P_{max}[/tex] = $6,250.
Can anyone explain how to do this?
Step-by-step explanation:
Using the equation [tex]a^{2} + b^{2} = c^{2}[/tex]
so [tex]a^{2} = 35[/tex] and [tex]b^{2} =50[/tex]
[tex]a^{2} + b^{2} = 85^{2}[/tex]
Answer:
85 units²
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
The hypotenuse is the side opposite the right angle ( third side ) , then
area = 35 + 50 = 85 units²
If a pound of ham costs $5.25, what is the approximate cost of 7
ounces?
A. $2.30
B. $36.75
C. $5.25
O D.
D. $2.63
43) A bag contains 3 blue chips, 2 red chips, and 4 green chips. If one chip is drawn random, what is the
probability of drawing a blue chip?
A) 1/2
B) 1/3
C) 1/4
D) 1/9
Can someone please tell me what the mean median mode and range is for 92, 63, 22, 80, 63, 71, 44, 35 please?
Answer:
answer is 63
Step-by-step explanation:
A spinner has A-H on it.
What is the probability of spinning a vowel?
a
2/7
b
1/3
c
1/4
d
3/8
Answer:
C
Step-by-step explanation:
there are 2 vowels in the 8 letters
so
2/8 but simplify it and 1/4
help me please thank you
Answer:A
Step-by-step explanation:
A living room wall is 20 feet long, and 12 feet high. How many cans of paint do you need to cover the wall if one small can of paint covers 60 square feet?
Answer:
4........................
What is the equation of the line that includes points (25, 100) and (15, 120)
Answer:
y = -2x + 150
Step-by-step explanation:
y2 - y1 / x2 - x1
120 - 100 / 15 - 25
20 / -10
= -2
y = -2x + b
100 = -2(25) + b
100 = -50 + b
150 = b
1/5 x 5 1/2 =
Can someone help me ?
Answer:
1/2
Step-by-step explanation:
reduce the numbers with the greatest common factor 5
1/5×5 1/2
1/2
Answer:
this is the answer hope it helps
A triangle has sides of lengths 5, 7 and 13. Is it a right triangle? Explain.
10x— 9y = 10
8x+9y=10
Answer:
x=10/9
y=10/81
Step-by-step explanation:
verify the following identity: sinx+cosx×cotx=cscx
Part B
Which of the following statements is true all that apply.
A.more males were surveyed than females.
B.more female like soccer.
C.An equal number of people like soccer and basketball.
D.Twice as many females than males like basketball
Answer:
Soccer: 19 Males
Basketball: 29 females
Total: 40 males, 60 females
Step-by-step explanation:
MALES FEMALES TOTAL
SOCCER ║ 19 ║ 31 ║ 50 ║
BASKETBALL║ 21 ║ 29 ║ 50 ║
TOTAL ║ 40 ║ 60 ║ 100 ║
[OPTIONS ⇒ 19, 29, 40, 60]
SOCCER:
x + 31 = 50
50 − 31 = 19
19 males
BASKETBALL
21 + y = 50
50 − 21 = 29
29 females
TOTAL:
F: 31 + 29 = 60
M: 19 + 21 = 40
60 + 40 = 100
60 females
40 males
solve for x: 2x-y=3 if you can show work thanks.
Answer:
x = 3/2 + y/2
Step-by-step explanation:
:)
Add the following expressions: 3r - 7 and -10r + 2
-13r-9
13-5
O -7r - 9
-7r -5
Answer:
Step-by-step explanation:
-7r - 5
Hope that helps! :)
-Aphrodite
Answer:
-7r - 5
Step-by-step explanation:
3r - 7 and -10r + 2
*remember that you can only combine the like terms
3r - 10r = - 7r
-7 + 2 = -5
Final Answer: -7r - 5
In rhombus ABCD shown below, AB=17 and AC=16 determine the length of BD without (hint , not with trigonometry)
Answer:
[tex]BD = 30[/tex]
Step-by-step explanation:
Given
[tex]AB = 17[/tex]
[tex]AC = 16[/tex]
See attachment
Required
Find BD
If AC = 16, then:
[tex]AO = 16/2[/tex] i.e. half the diagonal AC
[tex]AO = 8[/tex]
The diagonals of a rhombus are perpendicular.
This implies that we can apply Pythagoras theorem.
Using Pythagoras theorem on triangle AOB, we have:
[tex]AB^2 = AO^2 + OB^2[/tex]
[tex]17^2 = 8^2 + OB^2[/tex]
[tex]289 = 64 + OB^2[/tex]
Collect like terms
[tex]OB^2 = 289 - 64[/tex]
[tex]OB^2 = 225[/tex]
Take positive square roots of both sides
[tex]OB = 15[/tex]
To solve for BD, we use:
[tex]OB = \frac{BD}{2}[/tex] --- i.e. half the diagonal BD
[tex]BD = 2 * OB[/tex]
[tex]BD = 2 * 15[/tex]
[tex]BD = 30[/tex]
When the value of x is 27, which
equation is true?
A ſx- 6 = 12
C -x + 13 = 40
B 2x - 27 = -27
D 6 - 5x=9
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of maths,
here, A.) is correct because.
2/3(27) - 6 ==> 18 - 6 = 12
hence, LHS = RHS,
so option A is correct
help please look below
factorize 2x⁴+x³-14x²-19x-6
no spam and kindly explain your answer!
Step-by-step explanation:
Consider given the expression,
⇒2x4+x3−14x2−19x−6
⇒x3(2x+1)−(14x2+19x+6)
⇒x3(2x+1)−(14x2+7x+12x+6)
⇒x3(2x+1)−[7x(2x+1)+6(2x+1)]
⇒x3(2x+1)−(2x+1)(7x+6)
⇒(2x+1)(x3−7x−6)
Hence, this is the answer.
Sooo....
solve 3x + 3/5 equal or > 4/5.
yeah if u dont understand i dont blame ya.
what is the area of the triangle in square inches?
Answer:
22in.^2
Step-by-step explanation:
Area of a triangle formula is A= b*h* 1/2
(b= base h= height)
the base is 8
the height is 5 1/2
8*5 1/2
----------
2
5 1/2 = 5.5
8* 5.5 = 44
44/2 = 22
What is the probability that a customer ordered a medium given that he or she ordered a hot drink?
Answer:
64%
Step-by-step explanation:
[tex]\frac{48}{75} =64%[/tex]
Someone, Please help asap! :)
Select all the solutions to
( x - 2) to the power of 2 = -16
This is a Khan Academy question from Trig
Answer:
Option A
Step-by-step explanation:
By definition, tan∅=opposite/adjacent, so A would be your other option. HI represents the length of the side opposite to ∠H while GI represents the length of the side adjacent to ∠H.
Hope that clears things up!
Complete the table of values for function A
Find the surface area of a rectangular prism that has the following dimensions:
length: 4.5 In.
width: 6 in.
height: 12 In.
surface area = in2?
ASAP
Answer:
324in2
Step-by-step explanation:
A=bxwxh (basexwidthxheight)
A=4.5x6x12=324
A=324in2
Answer:
306
Step-by-step explanation:
hope this helps