What is the point-slope form of a line with slope -3 that contains the point (10,-1)?
What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12?
(–6, 0), (2,0)
(–2, –16), (0, –12)
(–6, 0), (–2, –16), (2, 0)
(0, –12), (–6, 0), (2, 0)
Answer:
x-intercepts are (-6,0 and (2,0)
First option is correct.
Step-by-step explanation:
The given equation is [tex]y=x^2+4x-12[/tex]
For x-intercept, y=f(x)=0. Thus, we have
[tex]0=x^2+4x-12[/tex]
We can split the middle term as 4x = 6x-2x
Thus, the equation becomes
[tex]x^2+6x-2x-12=0[/tex]
Now, we make group
[tex](x^2+6x)+(-2x-12)=0[/tex]
Take GCF from each of the group
[tex]x(x+6)-2(x+6)=0[/tex]
Factored out the common term
[tex](x+6)(x-2)=0[/tex]
Apply the zero product property,
[tex]x+6=0,x-2=0[/tex]
Solve for x
[tex]x-6,x=2[/tex]
Thus, x-intercepts are (-6,0 and (2,0)
First option is correct.
Answer:
A
Step-by-step explanation:
Find the area of the figure shown. Use 3.14 to approximate pi
2/7 times 2/6 = what
What are the factors of 4x2 + 23x − 6? (4x − 6)(x + 1) (4x − 1)(x + 6) (4x − 2)(x + 3) (4x − 3)(x + 2)
The factors of 4x^2 + 23x − 6 are (4x-1)and (x+6).
We have given that,
[tex]4x^2 + 23x - 6[/tex]
We have to determine the factors of given expression
What is the quadratic formula?[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4\cdot \:a\left(c\right)}}{2\cdot \:a}[/tex]
[tex]x_{1,\:2}=\frac{-23\pm \sqrt{23^2-4\cdot \:4\left(-6\right)}}{2\cdot \:4}[/tex]
[tex]x_{1,\:2}=\frac{-23\pm \:25}{2\cdot \:4}[/tex]
[tex]x_1=\frac{-23+25}{2\cdot \:4},\:x_2=\frac{-23-25}{2\cdot \:4}[/tex]
[tex]=\frac{-23+25}{2\cdot \:4}[/tex]
[tex]=\frac{2}{2\cdot \:4}[/tex]
[tex]=\frac{1}{4}[/tex]
[tex]x=\frac{1}{4},\:x=-6[/tex]
Therefore the factors are(4x-1)and (x+6)
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The weight of 10 identical samples of a substance is 0.01 pound what is the weight of 10,000 samples
The weight of 10,000 samples is:
10 pounds.
Step-by-step explanation:It is given that:
The weight of 10 identical samples of a substance is 0.01 pound.
i.e. 10 samples= 0.01 pound.
Now we are asked to find the weight of 10,000 samples.
Since,
10 samples= 0.01 pound.
1000×10 samples= 1000×0.01 pounds
i.e.
10000 samples= 10 pounds.
Hence, the answer is: 10 pounds.
Miguel typed 270 words in 6 minutes. His paper is 630 words. If he keeps typing at the same rate, in how many more minutes will Miguel finish typing his paper?
A. 8 minutes
B. 14 minutes
C. 16 minutes
D. 22 minutes
Mary has twice as many pencils as she has pens. Tom borrows a pen. Now, Mary has ten less pens than pencils. How many pencils does Mary does?
how many 1/4 pound patties can be made from 5 pounds of chicken?
i will give brainliest to 1 out of how ever many answer!
Fraction 14 divided into 18
Pre-image point N(6, -3) was dilated to point N'(2, -1). What was the scale factor used?
1/2
1/3
3
2
an airplane flies 105 miles in 1/2 hour . how far can it fly in1 1/4 hours at the same rate of speed.
Kevin had six nickels and 4 dimes in his pocket. If he took out one coin and then a second coin without replacing the first coin-- a) what is the probability that both coins were nickels. b) what is the probability that both coins were dimes. c) what is the probability that the first coin was a nickel and the second a dime
Answer this for 10 points
What is the answer to 6,007,200 in exspanded form
The number 6,007,200 in expanded form is written as 6,000,000 + 7,000 + 200, breaking down the number by each digit's place value.
To write the number 6,007,200 in expanded form, we break it down based on the place value of each digit. Here is how you would write it:
Identify the value of each digit in the number.
Starting from the left, write each digit multiplied by its place value.
Add each of these values together.
Applying this to the number 6,007,200, we get:
6,000,000 (6 millions) + 7,000 (7 thousands) + 200 (2 hundreds)
Therefore, the expanded form of 6,007,200 is:
6,000,000 + 7,000 + 200
an airplane is flying from montreal to vancouver. the wind is blowing from the west at 60km/h. the airplane flies at an airspeed of 750km/h and must stay on a heading of 65 degrees west of north. what heading should the pilot take to compensate for the wind? what is the speed of the airplane relative to the ground?
An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side? x3 feet
C+1/c-2 = 4/7 please show how you got the answer which is 5
Find the perimeter of the following shape, rounded to the nearest tenth: Shape ABCD is shown. Point A is at -3,5. Point B is at 2,6. Point C is at 0, 2. Point D is at -5, 1.
Round 992,449 to the nearest hundred thousand
A carton has a length of fraction 2 1/6 feet, width of fraction 1 and 1/5 and height of fraction 2 and 1/2 feet. What is the volume of the carton
Sydney applied the steps below to find the product of (3.1)(–1.6).
Step 1: (3.1)(–1.6) = (–1.6)(3.1)
Step 2: = _______________
Step 3: = (–4.8) + (–0.16)
Step 4: = –4.96
Which expression correctly fills in the blank in Step 2?
(1.6)(3) – (1.6)(0.1)
(–1)(3) + (–0.6)(0.1)
(1)(3) – (0.6)(0.1)
(–1.6)(3) + (–1.6)(0.1
Answer with explanation:
We have to find the product of
⇒(3.1)× (-1.6)
Step 1:→ (3.1)(–1.6) = (–1.6)(3.1)
Step 2: = -1.6×(3 + 0.1)=(-1.6) ×3 + (-1.6)×(0.1)→→We have used Distributive property of addition with respect to Multiplication, which is , a × (b + c)=a×b + a × c
Step 3: = (–4.8) + (–0.16)
Step 4: = –4.96
The expression which correctly fills the blank is:
Option D: →→ (–1.6)(3) + (–1.6)(0.1)
If the width of a rectangle is x + 2 and the length is twice as long, what is the area?
−5=−8−x What is x? Solve for x
6x34 in distributrive property
Roman mixes 12 liters of 8% acid solution with a 20% acid solution, which results in a 16% acid solution. Find the number of liters of 20% acid solution in the new mixture. Construct a table to organize the information, and show all of your work to solve the problem
A man owned 5/8 of an interest in a house. He sold 1/5 of his interest, at a cost for $1000. What is the total value of the house? Explain how u solved it.
A store sells cooking oil of two different brands in bottles of the same size. The table below and the equation each show the price (y) in dollars of different numbers of bottles of oil (x)
Brand A
Number of bottles (x).
2
3
4
5
Price (dollars) y
22
33
44
55
Brand B:
Y=17x
How many dollars more is the price of 8 bottles of Brand B than the price of 8 bottles of Brand A oil?
The number of dollars more is the price of 8 bottles of Brand B than the price of 8 bottles of Brand A oil is:
$ 48
Step-by-step explanation:Brand A--
Number of bottles (x) Price (dollars) y
2 22
3 33
4 44
5 55
The function that represents the relation between the price of the bottles and the number of bottles is:
y=11x
Brand B--
Also, the price of the bottles depending on the number of bottles is:
Y=17x
According to Brand A the price of 8 bottles is: y=11×8=$ 88
and according to Brand B the price of 8 bottles is: y=17×8= $ 136
Also, the difference in the price of Brand B to that of Brand A for 8 bottles is:
$ 136-$ 88
= $ 48
The set of ordered pairs described in the table below can be described as which of the following?
x y
1 5
2 2
3 5
a relation only
a function only
both a relation and a function
neither a relation nor a function
Subtract.
14x-(6+7x)
(Simplify answer)