What is the meaning of the point with an x-coordinate of 2?
Answer:
In 2 seconds, the space station travels 10 miles.
Step-by-step explanation:
Well, if the x axis represents time in seconds and the y axis represents distance in miles, then when your x value is 2, your y value is 10.
What is the next step. pls help!!
Use f(x) = 2x − 3 and g(x) = 4 − x2 to evaluate the expression.
(a) (f ∘ g)(x)
(b) (g ∘ f)(x)
The resulting expressions for [tex](f\,\circ\,g)(x)[/tex] and [tex](g\,\circ\,f)(x)[/tex] are [tex]5- 2\cdot x^{2}[/tex] and [tex]-4\cdot x^{2} + 12\cdot x -5[/tex], respectively.
A composition is a operation two functions in which the independent variable of the first function is substituted by the entire second function. In other words, we have the following expressions:
[tex](f\,\circ\,g) (x) = f(g(x))[/tex] (1)
[tex](g\,\circ \,f)(x) = g(f(x))[/tex] (2)
If we know that [tex]f(x) = 2\cdot x - 3[/tex] and [tex]g(x) = 4 - x^{2}[/tex], then we have the following compositions:
[tex](f\,\circ\, g) (x) = 2(4-x^{2})-3[/tex]
[tex](f\,\circ\,g)(x) = 5-2\cdot x^{2}[/tex]
[tex](g \circ f) (x) = 4 - (2\cdot x-3)^{2}[/tex]
[tex](g\,\circ f) (x) = -4\cdot x^{2} +12\cdot x -5[/tex]
The resulting expressions for [tex](f\,\circ\,g)(x)[/tex] and [tex](g\,\circ\,f)(x)[/tex] are [tex]5- 2\cdot x^{2}[/tex] and [tex]-4\cdot x^{2} + 12\cdot x -5[/tex], respectively.
We kindly invite to check this question on composition between functions: https://brainly.com/question/15070966
Find the value of x.
Answer:
-5
Step-by-step explanation:
hope it works out for you
What is M less than A
Answer:
60°Step-by-step explanation:
Since Angle E is same for both triangles, as vertical angles, the sum of the other two interior angles should be same.
Then we have:
m∠A + m∠B = mC + m∠Dm∠A + 18 = 43 + 35m∠A + 18 = 78m∠A = 78 - 18m∠A = 60round to nearest ten 8,990.97
Answer:
8990
Step-by-step explanation:
The 9 underlined is in the tens place.
8990.97 ⇒ 8990
Since you can't round up, you replace everything after the underlined 9 with 0's.
8990.00 = 8990
what is 47+50- __ - 32
This question doesn't make sense.Are you sure you wrote it correctly?
The number T of teams that have participated in a robot-building competition for high-school students over a recent period of time x(in years) can be modeled by T(x) = 17.155x^2 + 193.68x + 235.81, 0 ≤ x ≤ 6.
After how many years is the number of teams greater than 1000? Justify your answer.
Solving the quadratic equation, it is found that the number of teams is greater than 1000 after 3.1 years.
The number of teams after x years is given by:
[tex]T(x) = 17.155x^2 + 193.68x + 235.81[/tex]
Initially, there are T(0) = 236 teams. If will 1000 be when T(x) = 1000, thus:
[tex]17.155x^2 + 193.68x + 235.81 = 1000[/tex]
[tex]17.155x^2 + 193.68x - 764.19 = 0[/tex]
Which has coefficients [tex]a = 17.155, b = 193.68, c = -764.19[/tex], then:
[tex]\Delta = (193.68)^2 - 4(17.155)(-764.19) = 89950.66[/tex]
[tex]x_{1} = \frac{-193.68 + \sqrt{89950.66}}{2(17.155)} = 3.1[/tex]
[tex]x_{2} = \frac{-193.68 - \sqrt{89950.66}}{2(17.155)} = -14.3[/tex]
We want the positive root, so the number of teams is greater than 1000 after 3.1 years.
A similar problem is given at https://brainly.com/question/10489198
Set up a proportion round to the nearest tenths. 26 is 380% of Wat number?
Answer:
10 percent is the answer
how would this: 6.673 + 8.29 equal this: 14.963 ?!?!?!?!?
Answer:
You have to add -its easier to add up and down so you can see it more visibly-
Step-by-step explanation:
1
8.290
+6.673
14.963
Hope this helps! Have a great day!!
Does anyone know where this worksheet is at on online with the answers ?
Answer:
I do not know if there is this worksheet online which comes with answers, but you can post questions here on brainly, and I can help you clarify them!!
:>>
please help this is an 8 grade question
-3 (x + 2) + 9 + 7x = 4x + 5 – 2
Step-by-step explanation:
- 3 ( x + 2 ) + 9 + 7x = 4x + 5 - 2
- 3x - 6 + 9 + 7x = 4x + 5 - 2
- 3x + 7x + 9 - 6 = 4x + 5 - 2
4x + 3 = 4x + 3
Which picture shows a proper
reflection across the red dashed line?
A
B
Which statement is correct
Answer:
statement B is correct.........
Select the correct answer.
100
n
In the figure, lines mand n are parallel to each other. Lines p and q are also parallel to each
m
other. What is the value of x?
Answer:
80
Step-by-step explanation:
in the figure above, angle 100 degrees is corresponding to the angle co - interior to angle x
that is
if we put an angle that is at the upper left of x, we can call that y which is corresponding to 100 degrees
since y is corresponding to 100 degrees, it automatically becomes the same as 100 degrees
therefore y=100
now, from the first line above, we know that x and y are co-interior which means that they both add up to 180 degrees
that is
x+y=180
we know that y = 100
therefore,
x+100=180
collect like terms and
x = 180-100
therefore,
x= 80
thank you!!
Plz help ASAP!!
Picture attached:
Which statement is true about the graph of the equation y = x?
Answer:
that they both create different equations
Which are the solutions of x2 = 5x + 8?
2 = 5 + 8
hopes this helps
I will give Brainliest!!
Answer:
5.8 h po salamat
salamat po
On a given day, the exchange rate from US dollars to Australian dollars was 1 US dollar = 1.31 Australian dollar. About how much could you get in Australian dollars if you exchanged $560 US dollars on that day?
Answer:
733.6
Step-by-step explanation:
I did it
what is 86,503 when written in expanded form
Answer:
Eighty six thousand, five hundred and three
Step-by-step explanation:
Answer:
Expanded Notation Form:
86,503 =
80,000
+ 6,000
+ 500
+ 0
+ 3
Expanded Factors Form:
86,503 =
8 × 10,000
+ 6 × 1,000
+ 5 × 100
+ 0 × 10
+ 3 × 1
Expanded Exponential Form:
86,503 =
8 × 104
+ 6 × 103
+ 5 × 102
+ 0 × 101
+ 3 × 100
Word Form:
86,503 =
eighty-six thousand five hundred three
Step-by-step explanation:
:)
What is the equation for the line parallel to y=2x+13y=2x+13 that contains (8,-4)(8,−4)?
I will assume you meant y = 2x + 13
Answer: y = 2x - 20
Simplify 12 square root 1764
Answer:
504
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
The square root of 1764 (or root 1764), is the number which when multipiled by itself give the product as 1764. Therefore the square root of 1764 = √ 1764 = 42.
Before Sarah does open her account, she sees her grandmother for the holidays. Grandma wants to contribute to Sarah’s ROTH and even matches her contribution, giving her an additional $500 to invest. Now that Sarah has an initial investment of $1000, how much would Sarah have at age 68 based on her predicted rate of return from historical data
Answer:
2,9457
Step-by-step explanation:
100+7% = 1.07
(1.07)^50 = 29.45702506
y = 1000(29.46)
y = 29,460
help asap please!! :(( I need help
Answer:
m1= 43
m2=17
m3=120
m4=m5=m6=60
m7=17
m8=120
m9=43
Step-by-step explanation:
"Given ABC is an isosceles triangle and DBE is an equilateral triangle. we have to find each missing measure.
In triangle ABC,
∠1=∠9 (∵isosceles triangle)
⇒ 4x+3=9x-47
⇒ 9x-4x=3+47 ⇒ 5x=50 ⇒ x=10
Hence, ∠9=∠1=(4x+3)°=4(10)+3=43°
Also, given ΔBDE is an equilateral triangle, and all angle of equilateral triangle are equal.
∴ ∠4+∠5+∠6=180°
⇒ ∠4+∠4+∠4=180° ⇒ 3∠4 = 180° ⇒ ∠4 = 60°
∴ ∠4=∠5=∠6=60°
By exterior angle property, ∠3=∠5+∠6=60°+60°=120°
∠8=∠5+∠4=60°+60°=120°
In ΔABD, ∠1+∠2+∠3=180°
⇒ 43°+120°+∠2=180°⇒ ∠2 = 17°
In ΔABD, ∠9+∠8+∠7=180°
⇒ 43°+120°+∠7=180°⇒ ∠7= 17°"
by SerenaBochenek
The left and right page numbers of an open book are two consecutive integers whose sum is 23. Find these page number.
Answers: The page numbers are 11 and 12
==========================================================
Explanation:
Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.
Let,
x = first page, some positive whole numberx+1 = second page, follows immediately after page xAdding those two said pages will lead to 23
first + second = 23
(x) + (x+1) = 23
2x+1 = 23
2x = 23-1
2x = 22
x = 22/2
x = 11 is the first page
x+1 = 11+1 = 12 is the second page
Check: 11+12 = 23 which confirms the answers.
Donald bought 3 shirts for $45. How many shirts can Donald buy if he has $30? Show your work using mathematics.
Answer:
donald can buy 2
Step-by-step explanation:
price of a shirt = $45÷3
=15
=30÷2=15
Answer:2 shirts
Step-by-step explanation: if you divide 45$ by three you find out each shirt cost 15$ if you add fifteen twice you get 30$ theirfor you used all your money and can not buy another shirt.
what is the scale factor from triangle abc to triangle A' B' C' ? Also explain how.
A recipe for 10 bran muffins calls for 1 cup of flour. The number of muffins that can be made varies directly with the amount of flour used. There are 3 1/2 cups of flour available. How many muffins can be made?
Answer:
35
Step-by-step explanation:
3 1/2 x 10 =35
make 3 1/2 into an improper fraction: 3 x 2 + 1 = 7/2
make 10 into a fraction: 10/1
find the LCD (least common denominator) for each number:
10/1 = 20/2
7/2 = 7/2
20/2 x 7/2 = 70/2 = 35
:)
Answer:
35
Step-by-step explanation:
For 1 cup of flour, you make 10 muffins. Just by reading the problem, you see that the number of muffins, 10, is 10 times the number of cups of flour, 1.
For 3 1/2 cups of flour, you make 10 times that number muffins.
3 1/2 × 10 = 3.5 × 10 = 35
Answer: 35 muffins
You can also use a proportion.
1 cup flour is to 10 muffins as 3.5 cups flour is to x muffins.
1/10 = 3.5/x
Cross multiply:
1 × x = 10 × 3.5
x = 35
Answer: 35 muffins
Pls help with thissssdd!!
Answer:
a. False
b. true
c. false
d. true
Step-by-step explanation: