Answer:
0.3
Step-by-step explanation:
7. Expand and reduce A(x). Then calculate A(x) for x=1.
A (x) = (3x – 3)(3x + 2)
Given:
The function is
[tex]A(x)=(3x-3)(3x+2)[/tex]
To find:
The simplified form of A(x) and value of A(x) at x=1.
Solution:
We have,
[tex]A(x)=(3x-3)(3x+2)[/tex]
[tex]A(x)=(3x)(3x)+(3x)(2)+(-3)(3x)+(-3)(2)[/tex]
[tex]A(x)=9x^2+6x-9x-6[/tex]
[tex]A(x)=9x^2-3x-6[/tex]
Putting x=1, we get
[tex]A(1)=9(1)^2-3(1)-6[/tex]
[tex]A(1)=9-3-6[/tex]
[tex]A(1)=9-9[/tex]
[tex]A(1)=0[/tex]
Therefore, the simplified form of A(x) is [tex]A(x)=9x^2-3x-6[/tex] and the value of A(x) at x=1 in 0.
Explain what a rational exponent such as 5/2 means. Use this explanation to evaluate 9^5/2
Answer: The denominator of the rational exponents represents the index of a rule and the numerator of the rational exponent represents the power of the base.
(sqrt 9)^5= 243
A scale model of the empire state building is 8cm tall. The actual building is 1454 feet tall. What scale factor was used to create the scale model?
Answer:
Scale Factor [tex]= 5540[/tex]
Step-by-step explanation:
As we know -
Scale scale factor [tex]= \frac{L_p}{L_m}[/tex]
[tex]L_p =[/tex] Length of Actual object
[tex]L_m =[/tex] length of the model
Substituting the given values in above equation we get
Scale factor
[tex]= \frac{44317.92}{8} \\= 5539.74\\=5540[/tex]
plz show how you got the answer
Hi there! I'm here to help. :)
Okay, so here you are solving for x. To solve for x, you must get it alone on one side of the equal sign. As we can see, it is not alone, and it is with 1 1/4 on the left side of the equal sign.
To get it alone, we need to subtract 1 1/4 from both sides. However, to subtract fractions, we need to make sure they have the same denominator. Looking at the fractions, we can see that they have two different denominators.
Begin by converting both fractions into improper fractions:
1 1/4 = 5/4
3 1/2 = 7/2
So now our equation looks like this: x + 5/4 = 7/2
Now we need to make it to where we our fractions have the same denominator.
Our current denominators are 4 and 2. The LCM (lowest common multiple) of 4 and 2 is 4, so you leave 5/4 as it is (because it's denominator is already 4) and you change 7/2.
Multiply 2 * 2 to make the denominator 4 in 7/2, but whatever you do to the denominator, you MUST do to the numerator. So multiply 7 * 2 = 14. Now your fraction looks like this: 14/4
Now we have:
1 1/4 = 5/4
3 1/2 = 14/4
Our denominators are the same now! Now here comes the easy part: We subtract! Do 3 1/2 - 1 1/4, or, 14/4 - 5/4. To subtract fractions, simply subtract the numerators and leave the denominators as is. 14 - 5 = 9, so 14/4 - 5/4 = 9/4.
Now our equation looks like this:
x = 9/4
LASTLY: All of your options are mixed numbers, so convert this improper fraction back into a mixed number. 9/4 = 2 1/4.
So, x = 2 1/4. :)
anahi begins work each morning at 7:39 a.m. . she takes a lunch break at 11:25 a.m. and returns to work at. noon. how long is anahis lunch break????
Answer: 35 minutes
Step-by-step explanation: 60 - 25 minutes
Answer:
35 minutes....
I NEED ANSWERS ASAP ITS DUE TODAY
Answer:
C
Step-by-step explanation:
First find the radius:
5 pi = 2 pi r
cancel out pi
5 = 2r
r = 5/2
Then find the area:
A = pi r^2
A = pi 5/2^2
A = 25/4 pi
A cactus casts a shadow that is 15 feet long. A gate nearby casts a shadow that is 5 feet long. Find x, the height of the cactus. in middle school
Answer 15 ft
hope it is helpful
Please hurry
5/6x-1/3>1 1/3?
Answer:
-5/18 >4/3
Step-by-step explanation:
Make this brainliest , thank you!
HELP PLEASE IM STUCK!!!!!
2x-2-(2x-1)=x+4-1-(-3x)
Answer:
-1=x
Step-by-step explanation:
2x-2-(2x-1)=x+4-1-(-3x)
2x-2-2x+1=x+4-1+3x
-1=4x+3
-4=4x
-1=x
HELP ME ASAP
Lucy is baking a cake. The recipe requires 6 cups of flour and 8 cups of sugar. Which
ratio of cups of flour to cups of sugar can be used to make more than
B:
Step-by-step explanation
Please help I have 30 minutes or I fail this assignment no joke please answer all the questions there's only four.
Answer:
Sorry if I am wrong don´t count on me tho I would wait until someone else answers cause I might be wrong.
1). 9
2). -2
3). i don´t know
4). i don´t know
Step-by-step explanation:
Sorry plz don´t be mad I´m only in 4th grade
Which is the least amount?
[A] 1.20 [B] 0.21 [C] 1.02 [D] 1.020
The Answer Is:
B (0.21)
WILL GIVE BRAINLIEST PLZZZ HELP
Answer:
1.5
Step-by-step explanation:
Cause the standard of the table and the multiplication of have 3a,0,5 will give you your answer.
i’ll give brainlest!
Answer:
Z = 3
Step-by-step explanation:
if y = 3 then 3 x 2 = 6 subtract that from 9 and u get 3 so therefore z is 3
Please answer this really fast!
Can you please create me an Order of Operations equations with numbers 5,12,5,11,9. And please give me the answers as well! dont forget to use numbers 5,12,5,11,9. for the equation
THANKS SO MUCH!
Step-by-step answer:
5(12×11)-(5^5)+9
5(12×11)-3,125+9
5(144)-3,125+9
720-3,125+9
-2,405+9
-2,396
Plzzzzz give me Brainliest!!!!!
Is x = 6 a solution to the equation 5(x – 3) = x + 13? Follow the steps to find out. 1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. 2. Simplify both sides. Show your work. 3. Is x = 6 a solution to the equation? Why or why not? 4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution.
Answer:
x = 7Step-by-step explanation:
Testing if 6 is the solution:
5(x – 3) = x + 135(6 - 3) ? 6 + 135(3) ? 1915 ≠ 196 is not a solution
---------------------------------------------
Solving for x:
5(x – 3) = x + 13 ⇒ open parenthesis5x - 15 = x + 13 ⇒ isolate variable5x - x = 13 + 15 ⇒ simplify4x = 28 x = 28/4x = 7Answer:
x = 7
Step-by-step explanation:
what is the absolute value of -6 please help
Answer:
6
Step-by-step explanation:
its 6
The cost of a 4 pack of apple juice is $ 2.24. Write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.
Answer:
Cost = y/x
Step-by-step explanation:
The cost of a 4 pack of apple juice is $ 2.24.
We need to write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.
As 4 packs = $2.24
1 pack = 0.56
So, the equation can be :
Cost = y/x
How would I solve this problem?
Answer:
n= 4
Step-by-step explanation:
[tex]a^{m}*a^{n}=a^{m+n}\\\\(a^{m})^{n}=a^{m*n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]
[tex]7^{7}*7^{5}=\frac{(7^{n})^{4}}{7^{4}}\\\\7^{7+5}=\frac{7^{n*4}}{7^{4}}\\\\7^{12}=\frac{7^{4n}}{7^{4}}\\\\7^{12}=7^{4n-4}[/tex]
Compare the exponents,
4n - 4 = 12 {Add 4 to both sides}
4n = 12 + 4
4n = 16
n = 16/4
n = 4
Ash is 4 years younger than Gary, and Oak is 5 times Gary's age. The sum of their three ages is 94. Find Gary's age. Show working out. Thanks!!
Answer:
Step-by-step explanation:
If Gary's age is 14 then
Ash is 4 years younger = 14 - 4 = 10
And Oak is 5 times Gary's age = 14 x 5 = 70
So total ages = 70 + 14 + 10 = 94
What is this ?? Pls help
*giggling*
❤️✨
Why’s it saying it’s too short?
Answer:
-15(7/20) = -307/20 = -15.35, which is less than -15.
Step-by-step explanation:
Aight
Answer:
>
Step-by-step explanation:
-15(7/20) = -307/20 = -15.35, which is less than -15.
Is there a way to quickly find a function if you have a handful of ordered pairs?
ex. (-6, 10) (-4, 7) (-2, 4) (0, 3) (2, 0) (4, -3)
Given \(\triangle DEF\ :\ \triangle RST\), find the scale factor.
Answer: The required scale factor[tex]=\dfrac43[/tex]
Step-by-step explanation:
Formula : [tex]\text{Scale factor }=\dfrac{\text{Side in image}}{\text{Corresponding side in pre-image}}[/tex]
Here, ED = 3 units in Δ DEF which corresponding to SR = 4 units in ΔRST
Now,
Scale factor for the given transformation = [tex]\dfrac{SR}{ED}[/tex]
[tex]=\dfrac{4}{3}[/tex]
hence, the required scale factor[tex]=\dfrac43[/tex]
The equation of a line is given below.
9x - 3y=3
Find the slope and the y-intercept.
Then use them to graph the line.
Marshall uses 10 ounces of pineapple
juice to make 25 ounces of fruit punch.
How many ounces of pineapple juice
does he need to make 150 ounces of fruit
punch?
Answer:
20 ounces
Step-by-step explanation:
the ratio for 10 ounces of pineapple juice to make 25 ounces of fruit punch is 2:5
so x:150
x = 20
A circle has a diameter of 26 units. What is the area of the circle to the nearest
hundredth of a square unit?
A 81.68
B 530.93
C 2,123.72
D 8.494.87
Answer:
b
Step-by-step explanation:
area = pie x radius(2)
= 3.142 x 13 (2)
= 530.998
The scatter plot shows the maximum noise level when different numbers of the people are in the stadium. The linear model is given by the equation y=1.5x+22.7, where y represents maximum noise level and x represents the number of people the number of people ,in thousands, in the stadium. y=1.5x+22.7
3. What is the y intercept of the linear model given? What does it mean in the context of the problem? Is this reasonable? Explain the reasoning?
The y-intercept of the equation is 22.7 and it represents the initial value of the noise at the y-axis.
What is a scatter plot?A scatter plot is a type of plot or mathematical diagram that displays values for two variables for a set of data using Cartesian coordinates. One more variable can be displayed if the points are coded.
Given that the scatter plot shows the maximum noise level when different numbers of people are in the stadium. The linear model is given by the equation y=1.5x+22.7, where y represents the maximum noise level and x represents the number of people,in thousands, in the stadium. y=1.5x+22.7
The equation for the maximum noise is given as, y=1.5x+22.7. In the given equation the slope of the line is equal to 1.5. The y-intercept of the equation is 22.7 which represents the initial value of the noise at the y-axis.
To know more about scatter plots follow
https://brainly.com/question/6592115
#SPJ5
(x+3)(x-8) Multiply and Simplify
Answer:
x^2-5x-24
Step-by-step explanation: