Answer:
y + 8 = -12(x - 8)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (8, -8)
Slope m = -12
Step 2: Write Function
Substitute variables into general form.
y + 8 = -12(x - 8)
Please help me I can’t seem to figure this out
7.01 x 0.356
Answer:
2.49556
Step-by-step explanation:
Answer:
2.49556
Step-by-step explanation:
0.356
× 7.01
---------
2.49556
What is the domain ??
Answer:
[-8, 6]
Step-by-step explanation:
Domain is the x values. Look at the smallet x value, in this case -8, and the largest, in this case 6, and write them like a point using [] not (). You use [ or ] for numbers and ( or ) for infinity signs.
Let $n$ be the smallest composite number such that it can be written as the product of two positive integers that differ by 10?
Answer:
The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.
Step-by-step explanation:
A composite number is an integer that is not a prime number, that is, a number that can be divided only by one and itself. Let be [tex]n[/tex] the smallest composite number such that there are two positive integers [tex]x[/tex], [tex]y[/tex] such that [tex]x - y = 10[/tex] and [tex]x\cdot y = n[/tex]. [tex]n[/tex] is a positive integer, since both integers are positive. Then, we can use the following formula:
[tex](y+10)\cdot y = n[/tex]
[tex]y^{2}+10\cdot y = n[/tex]
[tex]y^{2}+10\cdot y - n = 0[/tex] (1)
We obtain the roots of this second order polynomial by means of the Quadratic Formula:
[tex]y = \frac{-10\pm \sqrt{10^{2}-4\cdot (1)\cdot (-n)}}{2}[/tex]
[tex]y = -5\pm \sqrt{25+n}[/tex] (2)
Given that [tex]y > 0[/tex], we must observe the following inequation:
[tex]-5\pm \sqrt{25+n}>0[/tex] (3)
[tex]\sqrt{25+n} > 5[/tex]
[tex]25 + n > 25[/tex]
[tex]n > 0[/tex]
Let is find the values of x and y by iterative means:
x = 11, y = 1
[tex](11)\cdot (1) = 11[/tex]
11 is not a composite number, but a prime number.
x = 12, y = 2
[tex](12)\cdot (2) = 24[/tex]
24 is a composite number, which contains the following product of prime numbers:
[tex]2^{3}\cdot 3 = 24[/tex]
The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.
What’s the sum of a number x and three is equal to eleven
Answer:
x = 8
Step-by-step explanation:
your equation can be written as: x + 3 = 11
subtract 3 from both sides to isolate x: x = 8
your answer is 8
I NEED HELPPP !!!!!!!
Answer:
84/B
Step-by-step explanation:
Angle measure 51 is vertical
45+51+A=180
A=84
Please guys help me. I am suck. I will give you the brainliest.❤❤
Answer:
Seventy two guestsStep-by-step explanation:
72 = 72×1
144 = 72×2
288 = 144×2 = 72×4
So each of 72 plates would have one cupcake, two apples and four chocolate bars.
{72 is the highest common factor for numbers 72, 144 snd 288}
Which number line below shows the solution to the inequality -4 < x/2 < 2?
Answer:
B
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
i hope this helps :)
Can somebody help me? With those three problems please
Answer:
15. [tex] x = 8 [/tex]
16. m<V = 103°
17. [tex] x = 14 [/tex]
Step-by-step explanation:
15. The figure given is quadrilateral. Sum of interior angles of a quadrilateral = 360°
Therefore:
[tex] (10x + 6) + (13x - 2) + (8x - 1) + (180 - 71) = 360 [/tex]
Solve for x
[tex] 10x + 6 + 13x - 2 + 8x - 1 + 109 = 360 [/tex]
Add like terms
[tex] 31x + 112 = 360 [/tex]
Subtract 112 from each side
[tex] 31x = 248 [/tex]
Divide both sides by 31
[tex] x = 8 [/tex]
16. The polygon is a hexagon. Sum of interior angles of a hexagon = 720. Therefore:
[tex] 90 + (7x + 3) + 128 + (5x + 8) + 111 + (9x - 19) = 720 [/tex]
Solve for x
[tex] 90 + 7x + 3 + 128 + 5x + 8 + 111 + 9x - 19 = 720 [/tex]
Add like terms
[tex] 321 + 21x = 720 [/tex]
Subtract 321 from each side
[tex] 21x = 399 [/tex]
Divide both sides by 21
[tex] x = 19 [/tex]
m<V = 5x + 8
Plug in the value of x
m<V = 5(19) + 8 = 95 + 8
m<V = 103
17. The polygon is a regular pentagon. This means each of the angles measures 108°. The sum of the interior angles all together is 540.
Therefore:
[tex] (9x - 18) = 108 [/tex]
Solve for x
[tex] 9x - 18 = 108 [/tex]
Add 18 to both sides
[tex] 9x = 126 [/tex]
Divide both sides by 9
[tex] x = 14 [/tex]
Bernie’s estimated that 69% of 242 is 168 is her estimate reasonable
Answer:
Yes it is.
Step-by-step explanation:
Best way is to use percentages you know when estimating.
We know 50% is half.
50% of 242 is 121.
So it has to be more than 121.
10% of 242 is 24.2 so add that to 121 and you get 145.2
You are 60% so far. You just need 9% more.
Add another 10% which is 24.2 and you get 169.4, which is over but we used 10% instead of 9% so the estimate is reasonable and close.
6. Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation. y=4+1.50
7. Use the equation you wrote in problem 6 to complete the table. 2 4 6 8 Hours (x) Total Cost (y) - - - -
A soap factory packs 7 bars of soap into each family pack. How many family packs can be made with 4,900 bars of soap?
Answer:
700 family packs
Step-by-step explanation:
In each family pack, there are 7 bars of soap. To find the number of family packs that can be made with 4900 bars of soap, we need to divide 4900 into groups of 7.
4900÷7
=700
Therefore, 700 family packs can be made with 4900 bars of soap.
I hope this helps!
Determine the slope-intersept form of the linear equation x/2 - y + 6 =0
Answer: slope =1/2 y intercept (0,6)
Step-by-step explanation: use the slope and y intercept form y=mx + b
Find the two square roots of 4.
Answer:
2 and -2
Step-by-step explanation:
Answer:
the number 2
If the sum of the legs of a right triangle is 49cm and the hypotenuse is 41cm find the length of the two legs... without using guess or check.
Please show work
Answer:
I think 42
Step-by-step explanation:
solve system of equations using the elimination method
Answer:
(x,y)=(-4/5,10/19)
Step-by-step explanation:
x+2y=3
x-8y=-16
x+2y=3
-x+8y=16 (multiply both sides by-1)
10y=16
y=16/10
x+2(16/10)=3
x=-4/5
if f(x)= -3x2 -5x, what is the value of f(-3)? (the 2 is to the second power )
Answer:
-12
Step-by-step explanation:
-3x^2-5x x is -3
-3(-3)^2-5(-3)
-27+15
A new car, valued at $28,000, depreciates at 9% per year. What is the value of the
car one year after purchase?
Answer:
25480
Step-by-step explanation:
28000 x 0.91
Sarah is making shortbread biscuits. She has: 600g of butter 300g of caster sugar 1kg of plain Klour 500g of cornKlour She has found this list of ingredients for making 8 shortbread biscuits Sarah wants to make as many shortbread biscuits as possible. Work out how many shortbread biscuits Sarah can make.
Answer and explanation:
We are told that Sarah has 600g of butter, 300g of caster sugar, 1kg of plain flour, and 500g of cornflour
We are also told that she found this list of ingredients for making 8 shortbread biscuits. The question isn't clear on whether the ingredients listed above are for the 8 shortbreads, or ingredients for 8 shortbreads were omitted.
We are told Sarah wishes to make as many shortbreads as possible.
To work out how many shortbreads Sarah can make, we need to know the ingredients required for one shortbread(or a number of shortbreads) and ingredients Sarah currently has. The question lists Sarah's ingredients and the number of shortbreads(8) that can be made with them, but doesn't go further than this. Therefore we can conclude that Sarah can only make 8 shortbreads given the amount of ingredients in her possession.
The train station clock runs too fast and gains 8 minutes every 10 days.
How many minutes and seconds will it have gained at the end of 4 days?
Answer: 3 minutes and 12 seconds
Step-by-step explanation: You can see 8 minutes every 10 days as a fraction (8/10). This can be simplified to 4/5, meaning that the amount of time gained will be 4/5 of the # of days that have passed. 4/5 of 4 days is 3.2 minutes, and that can be converted to 3 1/5. 60 seconds divided by 5 is 12 seconds, meaning that 1/5 of a minute is 12 seconds. Therefore, the answer is 3 minutes and 12 seconds.
Ivana works at a department store selling perfume and makeup. She earns $375 per week and 4% commission on her sales. If Ivana's sales for the week were $2513, what are her total earnings for the week?
Answer:
$1380.2Step-by-step explanation:
Step one:
given data
weekly earnings= $375
Commission is 4% of sales.= 0.4
supposing sale is x, and the total earning is y
the expression for the total earning will be
y=375+0.4x
Step two:
for x= 2513, y will be
y=375+0.4(2513)
y=375+1005.2
y=1380.2
Hence her total earnings for the week will be $1380.2
please help me answer this i will give brainliest and 5 star rating!!
Answer:
x = 77 ft
Step-by-step explanation:
55 ÷ 45 = 1.222222222
1.222222222 x 63 = 77
Answer:
63+45 divided by 12 + 55 times 12 + 95 (is what i think is the approximate length of the shadow)
Step-by-step explanation:
then after you do all this round it to the nearest foot
Input -13,20,0,-4,11,-1,17,?
Output-15,-11,-9,-2,-1,5,5,13
what numbers can be placed into the empty cell so the table of values satisfies the definition of the function
these are the select answers
-5
-1
0
2
11
17
Answer:
I dont get it if u put options it will be helpful
Step-by-step explanation:
pls dont be mad have a wonderful day :D
-3(2x-3)= -5x+5 show your work
Answer:
x=4
Step-by-step explanation:
Hope this helps!
Plz, mark brainiest! ^.^
Answer:
x = 4
Step-by-step explanation:
Use the distributive property to distribute the -3 amongst the 2x and the -3 in the parenthesis. Once distributed you should have -6x + 9 = -5x + 5. Next, you want to get all like terms on the same side, and to do that you must swap the +9 and the -5x. When you swap these, you must 'flip' the sign and change 9 to -9 and -5x to 5x. Now the equation should look like this: -6x + 5x = -9 + 5.
Now just solve. After solving, it should look like this: -1x = -4. Now to get rid of the negatives. Just divide each side by negative one and your answer is x = 4.
I need help with the problem that is in the attached image.
Answer: c
Step-by-step explanation: i did the test
PLEASE ANSWER RIGHT AWQY I WILL MARK YOU BRAINLIEST!!
True or false
It is common for
basic savings accounts
to have interest rates
up to 35%.
Answer:
TRUE
i think
Step-by-step explanation:
The equation for the pH of a substance is pH = -log[H'], where H+ is the concentration of hydrogen ions. A basic
solution has a pH of 11.2. An acidic solution has a pH of 2.4. What is the approximate difference in the concentration
of hydrogen ions between the two solutions?
Answer:
it's b.
Step-by-step explanation:
Answer:
B. 4.0 x 10^-3
Step-by-step explanation:
Correct answer on edge 2022.
work out 4.52 times by 36
I just it into a calculator and got 162.72. Hope this helps you! Have a nice day and a nice rest of the holidays!
The product of 4.52 times by 36 is 162.72
Given,
4.52 times by 36
We need to find the product.
How do multiply decimal numbers?Example:
2.3 x 3.4 = 7.82
There are two numbers after the decimal point.
In 2.3 there is one number after the decimal point.
In 3.4 there is one number after the decimal point.
Now,
1 + 1 = 2 numbers
7.82 has two numbers after the decimal point.
We have,
4.52 times by 36
4.52 x 36 = 162.72
4.52 x 6 = 27.12
4.52 x 3 = 13.56
4.52
x 36
27.12
13.56
162.72
4.52 has two numbers after the decimal point.
162.72 has two numbers after the decimal point.
Thus the product of 4.52 times by 36 is 162.72
Learn more about the multiplication of decimal numbers here:
https://brainly.com/question/6752346
#SPJ2
What time is it in New York, now
Answer:
7:17 PM
Step-by-step explanation:
Answer:
7:17................
Consider the graph of the polynomial function. Which of the following shows three binomial factors of the function?
Question 16 options:
A)
(x – 1)(x – 2)(x – 3)
B)
(x + 1)(x + 3)(x – 2)
C)
(x + 2)(x – 1)(x – 3)
D)
(x + 1)(x + 2)(x + 3)
Answer:
C
Step-by-step explanation:
the three binomial factors are (x+2)(x-1)(x-3)
Answer:
C
Step-by-step explanation:
Given a zero x = a then the corresponding factor is (x - a )
Here the zeros ( where the graph crosses the x- axis ) are at
x = - 2, x = 1 and x = 3
Thus the corresponding binomial factors are
(x - (- 2) ), (x - 1) and (x - 3), that is
(x + 2), (x - 1), (x - 3) → C