Answer:
52 = b + (3b - 4)
What is f(x)? someone please help
Given:
The table of values for the function f(x).
To find:
The equation for the function f(x).
Solution:
From the given table it is clear that the function passes through the point (0,5) and (1,8). So, the equation of the linear function that passes through the (0,5) and (1,8) is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-5=\dfrac{8-5}{1-0}(x-0)[/tex]
[tex]y-5=\dfrac{3}{1}x[/tex]
[tex]y=3x+5[/tex]
The function notation is:
[tex]f(x)=3x+5[/tex]
Therefore, the required function is [tex]f(x)=3x+5[/tex].
The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map. (b) Calculate length of a road on the map which is 0.58 km. (c) Calculate, in km2, the ACTUAL area of a lake which is 12 cm2 on the map. (d) Calculate the area of a play field on the map which has has an actual area of 90 km2.
Answer:
a. 1 200 000 km
b. 0.000 773 cm
c. 67 500 000 000 km²
d. 0.000 000 016 cm²
Step-by-step explanation:
a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.
Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.
So, 1 cm : 75000 km = 16 cm : x km
So, 1 cm/75000 km = 16 cm/x km
Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km
(b) Calculate length of a road on the map which is 0.58 km.
Let y be the length of road on the map. So, using our scale
1 cm : 75000 km = y cm : 0.58 km
So, 1 cm/75000 km = y cm/0.58 km
Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm
(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.
Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²
Let z be the actual area of the lake.
So, 1 cm² : 5 625 000 000 km² = 12 cm² : z km²
So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²
Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²
(d) Calculate the area of a play field on the map which has has an actual area of 90 km².
Let a represent the area of the play field on the map. Using our scale for the area,
1 cm² : 5 625 000 000 km² = a cm² : 90 km²
So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²
A compact disc with a diameter of 120. What is the area?
Step-by-step explanation:
A compact disc with a diameter of 120.
the area=π(d/2)²=π×(120/2)²=60²π=3600π or 11309.73units²
Preston has more than $8 in his wallet. Which inequality represents this situation?
A) c>8
B) c≤8
C) c≥8
D) c<8
Answer:
D
Have a great day
Answer:
A ) c > 8
Step-by-step explanation:
> this is the greater than sign and the question says " more than 8$ "
Which number is in the solution set of this equation? 7x − 9 = 40
Answer:
x=7
Step-by-step explanation:
Answer:
7
Steps:
7x − 9 = 40
7x = 40 + 9
x = 49/7
x = 7
4.
George tells you that when variables are in the denominator, the equation 4/6 + 3/x = 1/3 becomes unsolvable. George explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to George how the equation is still solvable and explain your reasoning.
Answer:
i dont know just need points
Step-by-step explanation:
When the function is given in vertex form y = a (x - h)2 + k. When the function is given in vertex form y = a (x minus h) squared + k, how is the vertex found? How is the vertex found?
a. (k, h)
b. (x, y)
c. (h, k)
d. (y, x)
PLEASE HURRY!
Answer:
(x,y)
Step-by-step explanation:
Answer:
b is the answer for your question
Match the equation with the description of the function it represents.
find the solution(s) to 2x^2-5x-3=0. check all that apply
Answer:
-1/2 & 3
Step-by-step explanation:
just took the test
a+3 1/4 = 5 2/9
explain the process and how you got, please. If you dont thats also alright but i would like it.
Step-by-step explanation:
a = 71/36
Alternate form
a = 1 35/36, a = 1.972
What is an equation of the line that passes through the points (0,5) and (-5,7) Put your answer in fully reduced form
Answer:
y = 2/5x + 5
Step-by-step explanation:
I assume you want the equation in point slope form? So assuming that, (0, 5) is the y intercept which is b in the equation y=mx+b (b=5). Now you have to find the slope, paper is really handy (I like drawing a graph out to help me sometimes but an easy way to do it is another equation like this...
y2-y1/x2-x1=
7-5/-5-0=
2/5 --> So 2/5 is the slope, and that finishes the equation
Final equation in point slope form: y=2/5x+5
HOPE YOU UNDERSTAND NOW!!!! :)
The equation of the line that passes through the point (0, 5) and (-5, 7) is
y = - 2/5 x + 5
The equation can be represented in the slope intercept form below
y = mx + bwhere
m = slope
b = y- intercept
(0, 5)(-5, 7)
The slope can be found below
m = 7 - 5 / -5 - 0 = 2 / -5 = - 2/5
Therefore, using y = mx + b format
y = -2/5 x + b
let's find b using the coordinate (0, 5)
5 = - 2 /5 (0) + b
b = 5
Finally, the equation is
y = - 2/5 x + 5
read more: https://brainly.com/question/16569095?referrer=searchResults
Question 8 - Find the mean
Answer:
You can hack it double click and press inspect for answers
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST
Answer:
Micah can earn $2,669
I hope this helps
Step-by-step explanation:
The Help All Animals Society is having a fundraiser at a local auditorium. They charge $5.00 a ticket to attend the event. If the rental fee for the auditorium is $100, which expression represents the profit if n tickets are sold?
Step-by-step explanation:
5n-100= profit
...............
4x−4<8 AND9x+5>23 thank u for your help
Answer:
x < 3 AND x > 2
Step-by-step explanation:
4x − 4 < 8
4x < 8 + 4
4x < 12
x < 3
9x + 5 > 23
9x > 23 - 5
9x > 18
x > 2
How do you say I am sleepy in spanish?
Answer:
tengo sueño
Step-by-step explanation:
Answer:
To say I am sleepy in spanish you say: tengo sueño
Step-by-step explanation:
Hope this helped!
Which is a better deal: five tulips for $3.00 or seven tulips for $4.00?
Answer:
Step-by-step explanation:
7 divided by $4.00 = $1.75/per tulip
5 divided by $3.00 = $1.67/per tulip
Five tulips for 3.00 dollars
Answer:
7 tulips for $4.00
Step-by-step explanation:
you have 5 tulips for 3.00 dollars and 7 tulips for only 4.00 is a better deal because you just add 1 more dollar.
Your at a sandwich shop, they offer 3 types of breads, 4 types of meats, and 8 types of toppings. How many different combinations are there?
Answer:
96 combinations
Step-by-step explanation:
when you get a question like this you multiply all the numbers and you get total number of combinations possible
Answer:
36 outcomes
As this a sandwich shop it uses bread for all meats.
3 x 4 x 3 = 36
Because 3 x 4 = 12
As the toppings are only repeated 8x3 = 24 and alongside this we add the shorter combinations to this
Step-by-step explanation:
B1 M1 < B1 M2 < B1 M3 < B1 M4 < B1 M1 T1 < B1 M1 T2 < B1 M1 T3 to B1 M1 T8 etc = 12 combinations step 1
B2 M1 repeat above with B2 to replace B1 above = 12
B3 M1 repeat above with B3 to replace B1 above = 12
As we only multiply whole numbers together if we are looking for an order of sequence such as combinations to a safe number code or how people stand in a queue etc back to middle number. We would get 96
Bread x middle value then outcome x toppings = 36 outcomes
2 people can paint a fence in one hour
How long would it fake 10 people?
Answer:
12 minutes.
Step-by-step explanation:
2x60=10 times x
2x60 divided by 10= x
12=x or x=12 min
Which frequency table matches the histogram shown below?
ANSWER NEEDED QUICKLY‼️ BRAINLIEST TO RIGHT ANSWER
Mouna scored 42 points in 3 games
What is the rate
Answer:
14 points
Step-by-step explanation:
To Find how many points did he/she score per game
Since rate = per (1)
We have to divide points by games
Since Mouna scored 42 point → Total and Games → 3
We have to divide 42 by 3
42/3 = 14
Hence, Mouna scored 14 points per game
[RevyBreeze]
which is equivalent to the expression (2x+4)(x-6)?
Answer:
2(x² – 4x – 12)
Step-by-step explanation:
(2x+4)(x–6) →
2(x+2)(x–6) →
2(x(x–6) + 2(x–6)) →
2(x² – 6x + 2x – 12) →
2(x² – 4x – 12)
An editor gets $2890 raise each year. In her eighth year, she is making $27,400 per year. Write a function that represents her income after x years she has worked at the company
Answer: [tex]7170+2890x[/tex]
Step-by-step explanation:
Given
Editor gets a raise of [tex]\$2890[/tex] each year
In her eighth year, she is making [tex]\$27,400[/tex]
Eighth years refers to 7 complete year
Suppose she starts with an amount of P
So, her pay after x years is
[tex]\Rightarrow P+2890x[/tex]
for the eighth year i.e. [tex]x=7[/tex]
[tex]\Rightarrow P+2890\times 7=27400\\\Rightarrow P=27400-20230=\$7170[/tex]
after x years it is
[tex]\Rightarrow 7170+2890x[/tex]
Select all the equations that are true:
Answer:
TrueFalse, correct one -58False, correct one 58TrueTrueFalse, correct one 42TrueFalse, correct one -42(10 x 16)+(10x x p) what is equvalint
Answer:
1 0 2 + 1 6 0
Step-by-step explanation:
Multiply the numbers
(10*16) +10x xp)
(160) +(10x xp)
Combine exponents
(160) + (10xxp)
160 + 10 [tex]x^{2}[/tex] p
Eliminate redundant parentheses
(160) + (10xxp)
160 + 10 [tex]x^{2}[/tex] p
Rearrange terms
160 + 10 [tex]x^{2}[/tex] p
1 0 2 + 1 6 0
help a girl outtttt please
Will give Brainly! Need help!
Answer:
(-3,5)
Step-by-step explanation:
Please brainleist me
Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.
Answer:
1.41
Step-by-step explanation:
Answer:
Use the pythagorean theorem,
a^2+b^2=c^2
1^2+1^2=c^2
1+1=c^2
2=c^2
2=2
Square root of 2 is 1.41 (approximately)
c=1.41
Step-by-step explanation:
El punto más alto de un repetidor de televisión situado en la cima de una montaña se ve desde un punto del suelo p bajo un ángulo de 67º si nos acercamos a la montaña 30 metros lo vemos bajo un ángulo de 70º y desde ese mismo punto vemos la cima de la montañas bajo un ángulo de 66 °. Calcular la altura del repetidor.
Answer:
El repetidor tiene aproximadamente 90.494 metros de altura.
Step-by-step explanation:
Al término de esta solución podemos encontrar el diagrama geométrico con toda la información derivada de lo descrito en el enunciado de la pregunta. Aquí designamos la altura del repetidor con la letra [tex]h[/tex], medida en metros. Procedemos a resolver el modelo a partir de la Ley del Seno:
[tex]\frac{30\,m}{\sin 3^{\circ}} = \frac{s}{\sin 67^{\circ}}[/tex]
[tex]s \approx 527.651\,m[/tex]
[tex]\frac{s}{\sin 156^{\circ}} = \frac{h}{\sin 4^{\circ}}[/tex]
[tex]h \approx 90.494\,m[/tex]
El repetidor tiene aproximadamente 90.494 metros de altura.