Answer:
y = -3x + 21
Step-by-step explanation:
(5,6)
y = mx + b
6 = -3 × 5 + b
solving for b
b = 6 - (-3)(5)
b = 21
Therefore,
y = -3x + 21
A point on the ocean floor is 7,842 m below sea level.
Express this elevation as an integer.
The elevation as an integer is □m
Answer:
-7842 meters
Step-by-step explanation:
Since the point is below sea level, it is negative
-7842 meters
Find the value of p3- q3, if p-q = -7 and pq= -10
===================================================
Work Shown:
p-q = -7
(p-q)^2 = (-7)^2
p^2-2pq+q^2 = 49
p^2-2(-10)+q^2 = 49
p^2+20+q^2 = 49
p^2+q^2 = 49-20
p^2+q^2 = 29
By the difference of cubes formula, we can say,
p^3 - q^3 = (p-q)*(p^2+pq+q^2)
p^3 - q^3 = (p-q)*(p^2+q^2+pq)
p^3 - q^3 = (-7)*(29-10)
p^3 - q^3 = -133
--------------
Here's another way to solve:
p-q = -7
p = q-7
pq = -10
(q-7)*q = -10
q^2-7q = -10
q^2-7q+10 = 0
(q-5)(q-2) = 0
q-5 = 0 or q-2 = 0
q = 5 or q = 2
If q = 5, then p = q-7 = 5-7 = -2
If q = 2, then p = q-7 = 2-7 = -5
We can see that no matter what we pick for q, we'll get p*q = -10
Also, you should find that p^3-q^3 is equal to -133 for either case as well.
what’s the volume of the prism?
Answer:
48
Step-by-step explanation:
Prism shown: Rectangular prism
Volume of a rectangular prism = width times length times height
Given width: 4
Given height: 3
Given length: 4
Volume = 3 * 4 * 4 = 48
Answer:
We can solve the volume of this prism by using this formula :
[tex]l\times w \times h[/tex]
This would be written as
[tex]4 \times 4 \times 3[/tex]
We would then multiply.
[tex](4 \times 4) = 16[/tex]
[tex]16 \times 3 = 48[/tex]
Then we would get our answer!
[tex]Answer = 48[/tex]
If this helped mark me brainliest!
4 oranges at Juicy Deals grocery store cost $6. For the price of $15 you can buy 10 oranges. True or false: The relationship
between the number of oranges and their price is proportional.
Answer:
the answer is true.
4/6
10/15
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
-6Step-by-step explanation:
Given Question,
2x - 7
Given Value:
[tex]x = \frac{1}{2} [/tex]
Solution,
[tex]2( \frac{1}{2} ) - 7[/tex]
[tex] = 2 \times \frac{1}{2} - 7[/tex]
= 1 - 7
= - 6 (Ans)
Which polynomial represents the difference below?
(8x^2 + 9) - (3x^2 + 2x + 5)
A. 11x^2 – 2x+ 4
B. 5x^2 - 2x + 14
C. 5x^2 - 2x + 4
D. 11x^2 + 2x + 14
PLSSS help I don’t got da money for a trial
What is the solution of sqareroot 1-3x = X+3?
Answer:
x=-8 or x=-1 (first option)
Step-by-step explanation:
[tex]\sqrt{1-3x}=x+3\\1-3x=(x+3)^{2} \\[/tex]
now expand the bracket on the right
[tex]1-3x=x^{2} +6x+9\\simplify:\\1-9=x^2+6x+3x\\-8=x^2+9x\\[/tex]
now make it a quadratic equation:
[tex]x^2+9x+8=0\\factorise:\\(x+1)(x+8)\\so:\\x+1=0 \\x=-1\\\\and \\x+8=0\\x=-8[/tex]
Brette got a new phone! The length of her old rectangular phone screen was 44 centimeters. Her new rectangular phone screen is twice as long as the old screen. How much larger is the area of the new screen than the area of the old screen?
Answer:
2 times larger
Step-by-step explanation:
Area of a rectangle = length x width
assume width = 10
older area = 44 x 10 = 440
new area
length = 44 x 2 = 88
88 x 10 = 880
change in area = 880 / 440 = 2
identify one solution for this graph
Answer:
y>2/1+-4
Step-by-step explanation:
y> because it's shaded over and since it's not dashes it needs the underline
2/1 because it's goes to the left twice and up once
-4 because that's where it starts
I can't figure out the answer
Answer:
39
Step-by-step explanation:
y=arctan(0.8)=38.65=39
HURRY I NEED HELP!!!!!
State the number of complex roots and the possible number of real and imaginary roots for each equation. Then find all roots, be sure to show all work!
(equations are in the image below)
Answer:
Both have 4 imaginary rootsStep-by-step explanation:
1)
(x^2 + 9)(x^2 + 6) = 01.
x^2 + 9 = 0x^2 = - 9x = ± √-9x = ± 3i2.
x^2 + 6 = 0x^2 = -6x = ±√-6x = ± i√6It has 4 imaginary roots and no real roots
2)
(x^2 + 7)(x^2 + 5) = 01.
x^2 + 7 = 0x^2 = -7x = ± √7x = ± i√72.
x^2 + 5 = 0x^2 = - 5x = ± √-5x = ± i√5It has 4 imaginary roots and no real roots
#1
(x²+9)(x²+6)=0First
x²=-9x=±3isecond
x²=-6x=±√6i4complex roots
#2
(x²+7)(x²+5)=0first
x²=-7x=±√7iSecond
x²=-5x=±√5i4 complex roots
Zeke owns stock in a high-tech firm. Each share is currently valued at $21 per share, which is 30% less than Zeke paid to purchase it. What did Zeke pay per share?
Answer:
$14.7
Step-by-step explanation:
Zeke owns stock in a high tech firm
Each share is valued at $21
It's is 30% less than the amount it was purchased
Therefore Zeke pay per share can be calculated as follows
= 21× 30/100
= 21×0.3
= 6.3
= 21-6.3
= 14.7
Hence Zeke's pay per share is $14.7
please help!! i’ll give you brainliest
Answer:
4
Step-by-step explanation:
Answer:
m = 5
Step-by-step explanation:
to one side length of 4 to 2, we divided by 2 so why not divide 10 by 2
10 ÷ 2 = 5
Please give me brainliest!
13. You are 3 inches taller than you were last year last year you were 60 inches tall. How tall are you now?
Answer:
63 inches tall.
Step-by-step explanation:
60 + 3 = 63.
Classify the following triangle. Check all that apply.
A. Isosceles
. B. Equilateral
C. Scalene
E D. Acute
E. Right
E F. Obtuse
Answer:
Options A and E
Step-by-step explanation:
Isosceles triangle → Two sides and opposite angles of the equal sides will be equal
In the given triangle measure of all sides are different.
Therefore, it's not an isosceles triangle.
Equilateral triangle → All sides and opposite angles are equal.
Given triangle is not an equilateral triangle.
Scalene triangle → All sides and angles are different in measure.
It's an scalene triangle.
Since, one angle of the triangle is a right triangle, it's a right triangle.
Option A and E are the correct options.
a person normally cost 1195 is on sale for 15% off if you only have a $10 bill do you have enough to purchase the book
Answer:
no
Step-by-step explanation:
First determine the discount
11.95 * 15%
11.95 *.15
1.79
Subtract the discount
11.95-1.79
10.16
You do not have enough money with a 10 dollar bill
A car depreciates in value over time. The following formula represents the value of the car after years. How many years will it take for the car to be worth less than15000 ?
Answer:
no nearve
Step-by-step explanation:
1 of 5
True or false?
The following is a statistical hypothesis:
Smoking damages your health.
Explain your answer in the comment box.
B
A
T
Answer:
True
Step-by-step explanation:
Smoking damages your entire cardiovascular system. Speaking of this Nicotine causes blood vessels to tighten, which restricts the flow of blood. Over time, the ongoing narrowing, along with damage to the blood vessels, can cause *peripheral artery disease*. Smoking also raises blood pressure, weakens blood vessel walls, and increases blood clots.
* Peripheral artery disease is a common circulatory problem in which narrowed arteries reduce blood flow to your limbs
Hope this helps :) Brainliest would be appreciated XD
What is the area of a rectangle with a length of x + 5
and a width of 4?
Answer:
[tex]area = (length \times width) \\ = (x + 5) \times 4 \\ = (4x + 20) \: square \: units[/tex]
SOMEOM PLEASE GELP ME
Answer:
You need to post the angle too
Step-by-step explanation:
Geometry help please! Is the given figure a parallelogram? Explain why you answered "Yes" or "No" in question 1. Give as much detail as possible.
Answer:
yes
Step-by-step explanation:
both angels are the same and that means that the length of the parallel sides are also the same
Use the rule y= -x + 7 to fill in the blank.
if (1,y) is on the graph then y =
Answer:
Then y = 6
Step-by-step explanation:
y = -x + 7
x = 1
y = -1 + 7
= 6
Write the quadratic equation in standard form:
-7x+4=x^2
Answer:
x² + 7x - 4 = 0
Step-by-step explanation:
A quadratic equation in standard form is
ax² + bx + c = 0 ( a ≠ 0 )
Given
- 7x + 4 = x² ( subtract - 7x + 4 from both sides )
0 = x² + 7x - 4 , that is
x² + 7x - 4 = 0 ← in standard form
The function f(x)=300x/x^2+200 represents the monthly sales in hundreds of cds x months after the cd was released. Each statement interpretes a key feature of the function based on the table. Which statement is an interpretation of the end behavior
A car is traveling at a rate of 48 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 2 minutes? Do not round your answers.
Answer:
0.8 Miles per minute. 1.6 miles in 2 minutes
Step-by-step explanation:
It says 48 miles for 60 minutes. But we only want one minute, so we can divide 60 to get 1 and divide 48 by 60 to get 0.8 for 1 minute.
For the second question you want 2 munutes so you multily this rate by 2 (0.8*2) to get 1.6 miles.
Hope this helps
:)
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-2x^2+105x-859 y=−2x 2 +105x−859
Answer:
$519
Step-by-step explanation:
Given the amount of profit made expressed as y=-2x^2+105x-859
At maximum profit, dy/dx = 0
dy/dx = -4x + 105
0 = -4x + 105
4x = 105
x = 105/4
x = 26.25
Substitute into the original function
y=-2x^2+105x-859
y=-2(26.25)^2+105(26.25)-859
y = - 1,378.125+2,756.25-859
y = 519.125
Hence the maximum amount of profit the company can make is $519
Answer:
519
Step-by-step explanation:
just took the question
Select the correct answer.
Date Daily Balance
2-20-2013 -$61.52
2-25-2013 $912.52
2-28-2013 $225.78
3-05-2013 -$228.82
3-06-2013 -$168.55
3-08-2013 $27.58
The table shows the balance in Mr. Wallace's bank account on different dates. On which date was the account balance the lowest?
A.
2-20-2013
B.
2-25-2013
C.
3-05-2013
D.
3-08-2013
Answer:
THE OPTIONAL ANSWER IS D
Step-by-step explanation:
I CHOOSE THAT ANSWER BECAUSE THAT IS THE DAY HE PAYED 27.58 Dollers and all the other days he pays high amount of cash
A= pi2 and find the area of a circle with radius 5 cm. Use pi = 3.14
Answer:
78.5398163397
Step-by-step explanation:
5x5= 25xpi=78.5398163397
Select the response that best answers the question below
In a school of 910 pupils, į are boys and
of the boys wear glasses. How many
boys wear glasses?
(A)
156
(B)
390
(C)
520
(D) 754
Answer:
What is the number of boys? I think you forgot to add the number in.
Step-by-step explanation:
Don't worry, I'll still help you! I'll be here waiting! :)
The rules of a game allow a team to score either 2 points or 5 points, depending on the nature of the scoring play. If the final score between two teams was 34 to 29, and there were 18 scoring plays altogether, how many 5-point plays were there?
Answer:
9
Step-by-step explanation:
Given that :
Total Number of scorings (both Teams) = 18
Let :
x = number of 5 point score ; y = number of 2 point score
Total points scored = 34 + 29 = 63
x + y = 18 - - - (1)
5x + 2y = 63 - - (2)
From (1)
y = 18 - x
In (2) ; we have ;
5x + 2(18 - x) = 63
5x + 36 - 2x = 63
3x + 36 = 63
3x = 63 - 36
3x = 27
x = 9
9 5-point plays
Answer:
9
Step-by-step explanation:
