Step-by-step explanation:
To get the x intercepts you need to set y = 0.
So you will get:
[tex]x^{2}[/tex] - 4x - 12 = 0
which can then be put in the form of:
(x - 6) (x + 2) = 0
The x intercepts are: (6,0) and (-2,0).
For the vertex you would need to convert the equation to vertex form.
which is : y = a[tex](x-h)^{2}[/tex] =k
[tex]x^{2}[/tex] - 4x - 12 = y
turn it in to square form:
([tex]x^{2}[/tex] - 4x + 4) - 12 - 4 = y
[tex](x-2)^{2}[/tex] - 16 = y
so the vertex is = (2, -16)
Erika is working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. Using complete sentences, describe to Erika how to solve this equation.
Hint: Use the change of base formula: log base b of y equals log y over log b.
Answer:
Step-by-step explanation:
7. Choose an appropriate variable for each situation. Then write and solve an
equation.
a. If I doubled the money in my savings account, I would have $150.62.
b. three times the hourly wage plus $7.65 in tips equals $27.90
Answer: See explanation
Step-by-step explanation:
a. Let the money in m savings account be represented by x.
If I doubled the money in my savings account, I would have $150.62. This means that:
(2 × x) = $150.62
2x = $150.62
Divide both side by x
2x/2 = $150.62/2
x = $75.31
The amount in the savings account is $75.31
b. Let the hourly wage be represented by x.
Three times the hourly wage plus $7.65 in tips equals $27.90. This will be:
(3 × x) + 7.65 = 27.90
3x + 7.65 = 27.90
3x = 27.90 - 7.65
3x = 20.25
x = 20.25/3
x = 6.75
The hourly wage is $6.75
What is 3 times 1/3 and subtract 5
Answer: -4
Step-by-step explanation:
Rephrase the given expression
3 times 1/3 and subtract 5
3×1/3-5
Do multiplication first, then subtraction
3×1/3-5
=3/3-5
=1-5
=-4
Hope this helps!! :)
Please let me know if you have any questions
Hi can anyone solve this for me please solve it on a piece of paper please
Answer:
Awsten Knight
Step-by-step explanation:
What is 807,000,000 written in scientific notation?
Answer:
8.07 × 10⁸
HOPE THIS HELPS
This year Goran watched movies. He thought that of them were very good. Of the movies he watched, what percentage did he rate as very good?
Answer: 80%
Step-by-step explanation:
Goran watched 55 movies. Out of those movies, he thought 44 were very good.
The question needs to know what percentage this 44 very good movies comprised of the total number of movies.
= Number of very good movies / Total movies * 100%
= 44 / 55 * 100%
= 0.8 * 100%
= 80%
HELPPP PLEASEE!!!
Roger goes shopping and saves $48 with a 30% off coupon. What was his total bill before tax?
Answer:
160$
Step-by-step explanation:
✨Magic✨ jkjk 160*.30=48
Pls Help!!! ASAP Will give Brainiest!!!
Two sides of a triangle have sides 11 and 16. The length of the third side must be greater than
__and less
than
A) 10, 17
B) 4,28
C) 5,27
D) 11,16
Answer:
c
Step-by-step explanation:
3. What is the greatest common factor of 6 and 16? *
Answer:
2
Step-by-step explanation:
2 is the only factor that goes into 6 and 16. (6th's Factors) 1, 2, 3 and 6
(16th Factors) 1, 2, 4, 8 and 16.
The greatest common factor of 6 and 16 is 2.
To find the greatest common factor (GCF) of 6 and 16, we need to determine the largest number that can divide both 6 and 16 without leaving a remainder.
First, we find the factors of each number:
Factors of 6: 1, 2, 3, 6
Factors of 16: 1, 2, 4, 8, 16
By comparing the factors, we can identify that both 6 and 16 have a common factor of 2. However, 6 also has a factor of 3, which is not a factor of 16.
To determine the GCF, we select the highest common factor, which is 2.
Therefore, the greatest common factor of 6 and 16 is 2.
The GCF is an essential concept in mathematics as it helps simplify fractions, factorize expressions, and solve various mathematical problems. It allows us to identify the largest number that can evenly divide two or more given numbers.
To learn more about the greatest common factor;
https://brainly.com/question/11221202
#SPJ6
step bro... im stuck, need help with this question
Answer:
i GOT C
Step-by-step explanation:
i'll help you step sis anything for you
sorry if you get it wrong dont trust the internet kids
FIRST PERSON TO ANSWER CORRECTLY GETS BRAINLIEST!! YOU HAVE TO TELL/SHOW ME HOW TO SHOW MY WORK TOO BE ABLE TO GET BRAINLIEST AS WELL. THE QUESTION IS IN THE SCREENSHOT. DUE IN 8 MINUTES!!
Answer:
Here is 16 divided by 1/4 displayed mathematically in colors:
16
÷
1
4
The numbers in 16 divided by 1/4 are labeled below:
16 = whole number
1 = numerator
4 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
16 x 4
1
=
64
1
Thus, the answer to 16 divided by 1/4 in fraction form is:
64
1
To make the answer to 16 divided by 1/4 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
64 / 1 = 64
The answer is rounded to the nearest two decimal points if necessary.
64/1 is an improper fraction and should be written as 64.
Step-by-step explanation:
3. Triangle RST has angle measures as shown. S 5(x+3) 25° 62 R (a) What is the value of x? Show your work. (b) What is the measure of angle S? Show your work.
Answer:
X=2
Step-by-step explanation:
Write the equation of the line passing
through: (-4,-2) and (-3, 5)
Answer:
formula = y2-y1/x2-x1
Step-by-step explanation:
(-4,-2) (-3,5)
x1=-4 x2=-3
y1=-2 y2=5
5+2/-3+4=7
so M=7
y-y1=m(x-x1)
y+2=7(x+4)
2y=7x+28
rearrange
-7x+2y-28=0
8 = 6 + a/4 a=___help
Answer:
[tex]8 = 6 + \frac{a}{4} \\ \frac{a}{4 } = 8 - 6 \\ \frac{a}{4} = 2 \\ a = 2 \times 4 \\ a = 8[/tex]
HRW I WILL GIVE U Brainless JUST HELPPPPPPOOPME......
Answer:
b
Step-by-step explanation:
y is x + half of x so 12 + 6 is 18
What inverse operation should be used to isolate the variable in the equation
k - 9 = 10?
Answer:
k-9=10
k=10+9
k=19
take care of yourself
have a nice day
A bag contains 9 red tiles, 10 blue files, and 6 green tiles. A tile is randomly drawn from the bag. Which statement is true?
A. The probability of drawing a red tile is 36% and the probability of NOT drawing a red tile is 64%.
B.
The probability of drawing a blue tile is 30% and the probability of NOT drawing a blue tile is 70%.
C. The probability of drawing a green tile is 25% and the probability of NOT drawing a green tile is 75%.
D. The probability of drawing a red tile is greater than the probability of NOT drawing a green tile. David hiked 24 miles in Ahon-
Answer: A. The probability of drawing a red tile is 36% and the probability of NOT drawing a red tile is 64%
Step-by-step explanation:
Number of red tiles = 9
Number of blue files = 10
Number of green tiles = 6
Total number of tiles = 9 + 10 + 6 = 25
Probability of drawing red tile = 9/25 = 0.36 = 36%
Probability of drawing blue tile= 10/25 = 0.40 = 40%
Probability of drawing green tile = 6/25 = 0.24 = 24%
Based on the explanation above, the correct answe is option A "The probability of drawing a red tile is 36% and the probability of NOT drawing a red tile is 64%".
Determine the area of the triangle when tana=1 the image is in the picture above
Answer:
The area will be:
[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].
Step-by-step explanation:
Using the definition of tangent, we have:
[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]
We know that tan(α) = 1, then we can find AB
[tex]1=\frac{6}{\vec{AB}}[/tex]
[tex]\bar{AB}=6\: u[/tex]
u means any unit.
Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:
[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]
[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]
[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]
[tex]\bar{BC}=6\sqrt{3} \: u[/tex]
So, the base of the triangle will be:
[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]
The area of a triangle is given by the following equation:
[tex]A=\frac{b*h}{2}[/tex]
b is the base ([tex]b=6(1+\sqrt{3})\: u[/tex])h is the height (h=6 u)[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]
[tex]A=18(1+\sqrt{3})[/tex]
Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].
I hope it helps you!
If it costs $0.15 per square inch for the cardboard label, then what is the cost for plan B?
Answer:
a box of plan B cost roughly $50.00
it is pretty expensive but you don't need an I.D.
Step-by-step explanation:
Help ASAP. Give you answer as a fraction.
Answer:
1/12
Step-by-step explanation:
Please help!!! Slope beginners
Answer:
-1/2
Step-by-step explanation:
Gradient=Change in value of Y coordinates/Change in value of X coordinates.
Take two points on the line.( -2,2) and (-4,3)
Find Delta or change in the values
let assume X is the gradient.
X=3-2/-4-(-2)
X= 1/-4+2
X=1/-2 which is written as -1/2
hwlp me with this one plzzzzzzzzzzzz
Answer:
x=1
Step-by-step explanation:
I'm not positive, it looks like a trick question but id say x=1 bc 17 × 1 is 17 and 17 is greater than -17 but then again any number greater than 1 such as 2,3,4, or 5 could work
Your bank account has a balance of
-$18. You deposit $75. What is
your new balance?
Answer:
$53
Step-by-step explanation:
75-18
HELP ME ASAP PLS PLS
Answer:
linear
Step-by-step explanation:
Not sure but it would be helpful if you can show me the options. Thank y!!
I need help answering this question for trig equations.
Sec^2x+4secx=-4
Answer:
x = 120°
Step-by-step explanation:
We are given;
sec²x + 4secx = -4
Rearranging gives;
sec²x + 4secx + 4 = 0
Factorizing the left hand side gives;
(sec x + 2)(sec x + 2) = 0
This means that;
(sec x + 2) = 0
From trigonometry, we know that sec x = 1/cos x
Thus;
(1/cos x) + 2 = 0
1/cos x = -2
cos x = -1/2
cos x = -0.5
x = cos^(-1) -0.5
x = 120°
Q1. Which of the following are well-defined sets?
(a) All the colors in the rainbow.
(b) All the points that lie on a straight line.
(c) All the honest members in the family.
(d) All the consonants of the English alphabet.
(e) All the tall boys of the school.
(f) All the efficient doctors of the hospital.
(g) All the hardworking teachers in a school.
(h) All the prime numbers less than 100.
(i) All the letters in the word GEOMETRY.
Answer:
A. All the colors in the rainbow.
Step-by-step explanation:
I think.
find the are of the triangle
Answer:
5 units^2
Step-by-step explanation:
Area of a triangle =
[tex] \frac{bh}{2} [/tex]
plugging in:
[tex] \frac{5 \times 2}{2} [/tex]
[tex] \frac{10}{2} [/tex]
[tex]5[/tex]
Answer:
A=1/2(b)(h)
H= 2 units
b= 5
A= 10×1/2 = 5 units^2
PLS Helpppp
(4y – 3x – 2) – (7y + 4x +3).
you have to simplify, linear equations
Answer:
-3y - 7x - 5
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
(4y - 3x - 2) - (7y + 4x + 3)
Step 2: Simplify
Distribute negative: 4y - 3x - 2 - 7y - 4x - 3Combine like terms (y): -3y - 3x - 2 - 4x - 3Combine like terms (x): -3y - 7x - 2 - 3Combine like terms (Z): -3y - 7x - 5what is the quadrilateral ?
Answer:
its either a rectangle or a square
Step-by-step explanation:
for it to be a rectangle there must be 4 right angles, but for it to be a square, there must be both 4 right angles and each side must be the same