4.b.
Answer: See below.
Step-by-step explanation:
For the equation f(x) = 2x3.a. f(6) means use x = 6 in the equation f(x) = 2x
so f(6) would be f(6)= 2(6)
f(6) = 12
3.b. f(-11) = 2(-11)
f(-11) = -22
3.c. f(2.75) = 2(2.75)
f(2.75) = 5.5
3.d. This is turned around. We are told f(x)=20, so what would x need to be for f(x) to be 20? Since f(x) = 2x, we can say 20 = 2x. Therefore x = 10
f(10) = 20
The rest of (3) are solved in the same fasion.h
For the equation f(x)= 5x+50
4.a. f(7) = 5(7)+50
f(7) = 85
4.b. f(-12)
f(-12) = 5*(-12)+50
f(-12) = -60
Continue in the same fashion for these types of problems.
If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?
Answer:
48 grapes,
Step-by-step explanation:
Firstly, let's sum up the ratio,
6+6+12=24
The fraction of grapes is therefore, 6÷24 or ¼
A ¼ of 192 is 48.
Signifying, there are 48 grapes.
A cheerilee teen willing to help,
stay positive, safe and Brainly!
If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?
Answer:-48 grapes
Explanation:-look at the attached picture :)
solve the simultaneous equation y+1=2x y^2=3x-2
[tex]y +1 = 2x~~~...(i)\\\\y^2 = 3x -2~~~...(ii)\\\\\text{From equation (i):}\\\\y +1 = 2x \\\\\implies y = 2x -1~~~....(iii)\\\\\text{Substitute} ~y = 2x-1~ \text{in equation (ii):}\\\\(2x-1)^2 = 3x-2\\\\\implies 4x^2 - 4x +1 = 3x -2\\\\\implies 4x^2 -4x -3x +3 =0\\\\\implies 4x(x-1) -3(x-1)=0\\\\\implies (x-1)(4x-3)=0\\\\\implies x =1 ~\text{or}~ x = \dfrac 34\\\\\text{Substitute x = 1 in equation (iii):}\\\\y = 2 -1 =1\\\\[/tex]
[tex]\text{Substitute}~ x = \dfrac 34 ~\text{in equation (iii):}\\\\\\y = 2\left(\dfrac 34 \right) -1 = \dfrac 32 -1 = \dfrac 12\\\\\text{Hence,}\\\\(x,y) = (1,1)\\\\\text{And}\\\\(x,y) = \left(\dfrac 34 , \dfrac 12 \right)[/tex]
A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases. Graph g when g(0)=-3 . Identify the slope, y-intercept, and x-intercept of the graph.
Answer:
The slope (m = rate of growth) for this function is 3/5. So, m= 3/5.
The y-intercept (b) for this function is located at (0,3). So, b=3.
Therefore, h(x) = 3/5x + 3
Step-by-step explanation:
Let the independent variable be x and dependent variable be y
y=h(x)
h is a linear function so it is represented in the general form of y=mx+c where
m is slope and c is the y-intercept.
Given "the dependent variable decreases 3 units for every 5 units the independent variable increases."
When x increases by 5, y decreases by 3
So the slope = rate of change of y / rate of change of x = -3/5
Given h(0)=3, h(0)=m(0)+c=3
c=3
Combining slope and y-intercept, y=-3/5*x+3
x-intercept is when y=0
0=-3/5*x+3
3/5*x=3
x=3*5/3=5
x-intercept=5
The slope of the linear function 3/5.
The y - intercept of the linear function - 3.
The x - intercept of the linear function - 5.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.
And, g(0) = - 3
Now,
Since, A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.
So, Slope = Rate of growth
= - 3 / 5
Thus, The slope of the linear function - 3/5.
Hence, The general form of equation of line is,
⇒ y = mx + c
⇒ g (x) = - 3/5x + c
Since, g (0) = - 3
⇒ g (0) = - 3/5 × 0 + c
⇒ - 3 = c
Thus, The y - intercept of the linear function - 3.
Hence, We get the general form of equation of line as;
⇒ g (x) = - 3/5x - 3
For x - intercept put g (x) = 0, we get;
⇒ 0 = - 3/5x - 3
⇒ - 3/5x = 3
⇒ x = - 5
Thus, The x - intercept of the linear function - 5.
Therefore, The slope of the linear function 3/5.
The y - intercept of the linear function - 3.
The x - intercept of the linear function - 5.
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y = 3x + 21. which ordered pair is a solution to the equation
Answer:
(1, 24 )
Step-by-step explanation:
Substitute any value of x into the equation and evaluate for y
x = 1 → y = 3(1) + 21 = 3 + 21 = 24 , then
(1, 24 ) is a a solution to the equation
for what value of x and y the ordered pairs (x+3,y-2) (y-1,2x-3)
u spammed in my question :(
Which graph is right?
Answer:
top one
Step-by-step explanation:
You are not including -2 (else it would be a greater or equal sign) so the dot has to be empty. You can rule out the middle options.
At this point you either remember that "greater than" means "to the right of" or you pick a convenient number, ie, 0. see that your inequality is true (zero is greater than -2) and you pick the graph where the solid line includes 0.
The elevators in an office building have been approved for a maximum load of 3,600 pounds.
Can the elevator hold a weight of exactly 3,600 lbs? If w = weight in elevator, what should the inequality look like?
Plz help thx.
Answer:
w [tex]\leq[/tex] 3,600
Step-by-step explanation:
[tex]\leq[/tex] means less than or equal to.
(4 x 100,000) + (6 x 10.000) =
Answer:
answer is 400060
have a good day!!
If it's help pls give me Brainliest
tysm
Answer:
4000,060
answer explanation : when you add 4 times 100,000 ypu get 400,000 and now you get 400,000 and now you are going to muptiple 4,000,6 and 10.000 which is equal to 4,000,060
Evaluate [tex]\frac{bd}{a}[/tex] + c if a=−2a=-2 , b=3b=3 , c=−12c=-12 , and d=−4
Answer:
{a,c,d,b} = {49/16,29/16,2,-31/48}
Step-by-step explanation:
[1] 3a + c - 4d = 3
[2] -4a + 4c + d = -3
[3] -a - 2d + 3b = -9
[4] - d = -2
// Solve equation [4] for the variable d
[4] d = 2
// Plug this in for variable d in equation [1]
[1] 3a + c - 4•(2) = 3
[1] 3a + c = 11
// Plug this in for variable d in equation [2]
[2] -4a + 4c + (2) = -3
[2] -4a + 4c = -5
// Plug this in for variable d in equation [3]
[3] -a - 2•(2) + 3b = -9
[3] -a + 3b = -5
// Solve equation [1] for the variable c
[1] c = -3a + 11
// Plug this in for variable c in equation [2]
[2] -4a + 4•(-3a+11) = -5
[2] -16a = -49
// Solve equation [2] for the variable a
[2] 16a = 49
[2] a = 49/16
// Plug this in for variable a in equation [3]
[3] -(49/16) + 3b = -5
[3] 3b = -31/16
[3] 48b = -31
// Solve equation [3] for the variable b
[3] 48b = - 31
[3] b = - 31/48
// By now we know this much :
a = 49/16
c = -3a+11
d = 2
b = -31/48
// Use the a value to solve for c
c = -3(49/16)+11 = 29/16
Step-by-step explanation:
so bd/a+c= 3×(-4)/-2 +(-12)= -12/-2+(-12)=6+(-12)=6-12=-6
so the answer is -6
solve the system {2x+y=8 using substitution method.
{x-y=6 using elimination method
please answer my question
Answer:
y = -4/3
x = 14/3
Step-by-step explanation:
2x+y=8
x-y=6
First of all, we need the same coefficient, so we can make both of these 2x by multiplying the second one by 2.
2x+y=8
2x-2y=12
Then we need to subtract equation 1 from 2.
3y=-4
Solve normally
y = -1.33333 / -4/3
Substitute
x - (-4/3) = 6
x = 14/3
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
[tex] \red {\mathbb{ \underline { \tt by \: elimination \: method \: s}}}[/tex]
2x+y=8________(i)x-y=6_________(ii)from equation (i):-
[tex]2x - y = 8 \\ x = \frac{8 - y}{2} [/tex]
put value of x in eq (ii)[tex]x - y = 6 \\ \frac{8 - y}{2} - y = 6 \\ \frac{8 - y - 2y}{2} = 6 \\ 8 - y - 2y = 12 \\ 8 - 3y = 12 \\ - 3y = 12 - 8 \\ - 3y = 4 \\ y = \frac{ - 4}{3} [/tex]
put value of y in eq (i)[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]
now,
By elimination method:-[tex]2x + y = 8 \\ x - y = 6 \\ - - - - - - - \\ multiply \: eq \: (i) \: by \: 1 \\ and \: eq(ii) \: by \: 2 \\ \\ (2x + y = 8) \times 1\\ (x - y = 6) \times 2 \\ - - - - - - - \\2x + y = 8 \\ 2x - 2y = 12 \\ subtract \: these \\ 3y = - 4 \\ y = \frac{ - 4}{3} \\ [/tex]
put value of y in equation (i)
[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]
12. The number of miles, y, traveled varies directly as time, x. If a group of tubers floating down the river traveled 9 miles
in two hours, how far would they travel in 5 hours? Write and solve a direct variation equation for this situation
y= 9/2x; x=10/9
y=2/9x; x=22.5
y=2/9x; y=10/9
Oy=9/2; y=22.5
Answer: y=2/9x; x=22.5
Step-by-step explanation:
Float speed is 9 miles/2 hours, or (9/2) miles/hour (mph).
Distance,y = (Speed)*(Time, x)
y = (Speed)x
y = (9/2)x
If x = 5 hours,
y = (9/2)*5, or 22.5
y=2/9x; x=22.5
John scored 75% of the total marks How many marks did he get
Given :-
John scored 75% of the total marks .To Find :-
How many marks did he get .Solution :-
Let us say that the maximum marks for the exam was x . So he got 75% of x that is ,
[tex]\longrightarrow[/tex] Marks = 75% of x
[tex]\longrightarrow[/tex] Marks = 75/100 × x
[tex]\longrightarrow[/tex] Marks = 3/4 × x
[tex]\longrightarrow[/tex] Marks = 3x/4
Hence he scored 3x/4 marks in the test.
Yvonne sells Nine West shoes. She earns 4% commission on all her sales. Yesterday she sold
$1500 worth of shoes. How much commission did she earn?
(2 marks)
Answer:
$60
Step-by-step explanation:
4/100= 0.04
$1500 x 0.04 = 60
PLEASE HELP ME!
What is the Value of X in the solution to this System Of Equations?
5x+2y= 67
X=3y-7
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
The value of x is 11.
What are linear equation in two variables?The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.
Given equations
5x + 2y = 67
x = 3y - 7
substitute the value of x in equation 1
5(3y - 7) + 2y = 67
15y - 35 + 2y = 67
17y = 67 + 35
17y = 102
y = 6
and x = 3y - 7
x = 3(6) - 7
x = 18 - 7
x = 11
Hence value is 11.
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What multiplication tables should every student memorize.
Answer:
1-15
Step-by-step explanation:
You should at least teach students 1-15 or 1-20
Last year the cost of a season ticket for a football club was £560.
This year the cost of a season ticket for the club has been increased to £600.
Write down the increase in the cost of a season ticket as a fraction of last year's cost.
Answer:
The cost increased by 1/14
Step-by-step explanation:
− 2 5 x − 9 < 9 10 solve and show work please I need help
Answer:
= -36.4
Step-by-step explanation:
- 25 x - 9 < 910
Add 9 to both sides
- 25 x < 919
Divide -25 to both sides
- 25 / - 25 < 919 / - 25
= -36.4
Use the triangle below to fill in the blanks.
Answer:
length of the opposite leg divided by the hypotenuse
Step-by-step explanation:
Diagram 5 shows a triangle ABD such that AD = 17 cm, AB = 10 cm and BD = 21 cm. The straight line AC is perpendicular to the straight line BD and the value of area of triangle ABD is an integer. Calculate the length of AC, in cm. (4 marks)
Answer:
8
Step-by-step explanation:
100 = x^2 + AC^2
17^2 = AC^2 + (21 - x)^2
289 = AC^2 + 21^2 + x^2 - 2*21*x
289 = AC^2 + 441 + x^2 - 42x
from 1st equation AC^2 + x^2 = 100
289 = 441 + 100 - 42x
289 = 541 - 42x
42x = 541 - 289 = 252
x = 252/42 = 6
so AC^2 = 100 - 6^2 = 100 - 36 = 64
AC = 8
25. Save the simultaneous equations 2x-y=4;x+y=5
Answer:
x = 3
Step-by-step explanation:
2x - y = 4
x + y = 5
y = 5 - x
2x - (5 - x) = 4
2x + x - 5 = 4
3x = 9
x = 3
X+3
=
ov*-
- (3)
ox-()*+1
O
+1
O
or-()***
X-1
+3
oy- ()
+1
-3
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is ~
[tex]\boxed{y = \bigg({\dfrac{1}{2} \bigg) }^{x - 3} + 1}[/tex]
[tex]\\ \sf\longmapsto y=\left(\dfrac{1}{2}\right)^{x-3}+1[/tex]
Graph attached
Use the properties of operations to write an expression equivalent to 4x + 1/2 + 2x - 3
Hey there!
4x + 1/2 + 2x - 3
COMBINE the LIKE TERMS
= (4x + 2x) + (1/2 - 3)
TRYING to SIMPLIFY THEM
4x + 2x
= 6x
1/2 - 3
= -5/2
ANSWER
6x + (-5/2)
Therefore, your answer should be: 6x + -5/2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Jada, Elena, Lin walked a total of 37 miles last week. Jada walke 4 miles in Elena, and Lin walked 2 more miles than Jada.
Click on picture for more info :333
I AM BEING NICE TODAY. DONT I REPEAT DONT TAKE THE POINTS AND ANSWER A NONSENSICAL ANSWER. THIS WILL END UP IN AN REPORT LIKE BIG TIME >:<
I AM GIVING 100 POINTS AND BRAINLIEST. PRIZE GOES TO ONE WHO ANSWER FIRST AND CORRECTLY.
ATQ
[tex]\\ \sf\longmapsto m+m+4+m+6=37[/tex]
[tex]\\ \sf\longmapsto 3m+10=37[/tex]
[tex]\\ \sf\longmapsto 3m=27[/tex]
[tex]\\ \sf\longmapsto m=9[/tex]
Elena=9miJade=13miLin=15miExpand & simplify 4 ( p + 3 ) + 4 ( p − 6 )
Answer:
8p -12Step-by-step explanation:
Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )
4(p + 3) +4(p - 6) =
4p + 12 + 4p - 24 =
8p -12
Solve to get cake, cookies and a hug
The following for loop prints the numbers 1 to 20 on one line with a space between.
for (int i = 1; i <= 20; i++)
{
System.out.print(i + " " ); // prints each value of i followed by a space on one line
}
Question
Consider the for loop example above. Assume you want to adjust the loop to print only the even values from 1 and 20. What must the loop elements - counter initialization, conditional statement, and counter modification - be set to in order to accomplish the goal.
Review all options listed below carefully. You MUST select 3 answers; one for each element/category:
Counter initialization
Conditional statement
Counter modification
a. int i = 0;
b. int i = 1;
c. int i = 2;
d. i < 20;
e. i <= 20;
f. i > 20;
g. i++;
h. i+=1-;
i. i+=2;
Answer:
Counter initialization: [tex]\verb!int i = 2![/tex].
Conditional statement: [tex]\verb!i <= 20![/tex].
Counter modification: [tex]\verb!i += 2![/tex].
Step-by-step explanation:
In the current Java for-loop in this question:
The counter initialization statement [tex]\verb!int i = 1![/tex] in this for-loop would initialize the counter variable to integer [tex]1[/tex]. The conditional statement [tex]\verb!i <= 20![/tex] holds as long as the counter is less than or equal to [tex]20[/tex]. Thus, the largest possible value for the counter would be [tex]20\![/tex].The counter modification statement [tex]\verb!i++![/tex] is equivalent to [tex]\verb!i += 1![/tex]. This statement would add [tex]1[/tex] to the value of the counter in each iteration.The even integers between [tex]1[/tex] and [tex]20[/tex] includes [tex]2,\, 4,\, \dots,\, 20[/tex]. It would be necessary to add [tex]2[/tex] each time to get to the next number.
Since the list of even integers starts at [tex]2[/tex], it would be necessary to initialize the counter variable to [tex]2\![/tex] rather than [tex]1[/tex]. Thus, replace the counter initialization statement [tex]\verb!int i = 1![/tex] with [tex]\verb!int i = 2![/tex].
The maximum integer that this loop should print is still [tex]20[/tex]. Thus, the conditional statement [tex]\verb!i <= 20![/tex] does not need to be changed.
The for-loop should add [tex]2[/tex] to the counter each time to get to the next even integer. Thus, the counter modification statement [tex]\verb!i++![/tex] (or equivalently, [tex]\verb!i += 1![/tex]) should be replaced with [tex]\verb!i += 2![/tex].
Overall, the for-loop should be:
[tex]\begin{aligned}& \verb!for (int i = 2; i <= 20; i += 2) {!\\ &\quad \verb!System.out.print(i + " ");! \\ &\verb!}!\end{aligned}[/tex].
Tell whether the sequence is arithmetic. If it is, identify the common difference.
1/2,1/3,1/4, ….
1) Not arithmetic
2) Arithmetic, common difference is 1/6
3) Arithmetic, common difference is 2/3
4) Arithmetic, common difference is 1
Answer:
Not arithmetic
Step-by-step explanation:
the difference of successive terms in arithmetic sequences should be the same. notice that:
1/3-1/2 =/= 1/3 - 1/4
so it's not arithmetic.
this sequence is known as the harmonic sequence, and its sum diverges.
What is the y-intercept of the following table?
Gasoline Usage
Miles Driven,
Х
Gallons of
Gasoline in
Tank, y
0
15
10
14.6
20
14.2
35
13.6
60
12.6
75
12
Your answer
Answer:
15
Step-by-step explanation:
it's where you start. where your going to start you slope on the graph which means that the x would be 0
can you plz help me....
Answer:
what is that ............
Find a number such that 20 less than twice the number is 50.
The required simplified solution of the given expression is 35.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Let the number x,
A number such that 20 is less than twice the number is 50.
2x - 20 = 50
2x = 70
x = 35
Thus, the required simplified solution of the given expression is 35.
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