Complete Question:
A function is expressed by the equation y = 0.3x − 6. For what value of the independent variable will the value of the function be equal to −6; −3; 0?
Answer:
If the value of the function is equal to −6, the value of the independent variable is equal to 0. If the value of the function is equal to −3, the value of the independent variable is equal to 10. If the value of the function is equal to 0, the value of the independent variable is equal to 20.
Step-by-step explanation:
Given:
[tex] y = 0.3x - 6 [/tex]
Required:
Find x, if y = -6; -3; and 0.
SOLUTION:
x = the independent variable
y = dependent variable
To find x (independent variable), when the value of the function (y) is -6, substitute y = -6 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] -6 = 0.3x - 6 [/tex]
[tex] -6 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 0 = 0.3x [/tex]
[tex] \frac{0}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 0 = x [/tex]
[tex] x = 0 [/tex]
To find x (independent variable), when the value of the function (y) is -3, substitute y = -3 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] -3 = 0.3x - 6 [/tex]
[tex] -3 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 3 = 0.3x [/tex]
[tex] \frac{3}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 10 = x [/tex]
[tex] x = 10 [/tex]
To find x (independent variable), when the value of the function (y) is 0, substitute y = 0 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] 0 = 0.3x - 6 [/tex]
[tex] 0 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 6 = 0.3x [/tex]
[tex] \frac{6}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 20 = x [/tex]
[tex] x = 20 [/tex]
Someone please help me out !!!!!!!
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[tex](9x + 17) + (3x + 7) = 180[/tex]
[tex]12x + 24 = 180[/tex]
Subtract sides 24
[tex]12x + 24 - 24 = 180 - 24[/tex]
[tex]12x = 156[/tex]
Divide sides by 12
[tex] \frac{12}{12} x = \frac{156}{12} \\ [/tex]
[tex]x = 13[/tex]
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How many four-digit numbers can you make with these three integers?
0, 1, 2
Answer:
I would think 2222
Step-by-step explanation:
Between the three numbers, that four-digit number is the greatest.
(Apologies if not correct)
Look at the picture to see question plz help quickly and step by step
Answer: 16.6
Step-by-step explanation:
HELP NOW PLZZZZZ HELPPPPPPPPPPPP
Answer:
y = 4/3x -11
Step-by-step explanation:
y = -3/4 x - 8
This is in slope intercept form
y = mx+b where the slope is -3/4
We want a slope that is perpendicular
Take the negative reciprocal
-1 ( -3/4) = 4/3
The slope of the line that is perpendicular is 4/3
Using the slope intercept form of a line is
y = mx+b
y = 4/3x+b
Substituting the point into this equation
-3 = 4/3(6) +b
-3 = 8+b
Subtract 8 from each side
-3-8 = b
-11 =b
y = 4/3x -11
Noodles are packaged in boxes that measure 18 cm by
20 cm by 5 cm. A larger box is being designed by
increasing the length, width, and height of the smaller
box by the same amount.
What is the minimum amount that can be added to the
dimensions of the box so that the new box has a
volume of at least 5,280 cubic centimeters? Round to
the nearest hundredth.
cm
Answer:
Its 4.54 cm
Step-by-step explanation:
on Edge
The minimum amount that can be added to the dimensions of the box so that the new box has a volume of at least 5,280 cubic centimeters is 4.54cm
The measurement of the box is given as 18 cm by 20 cm by 5 cm. Let the minimum amount to be added be x.
Therefore, the equation will be:
= (18 + 4.54) × (20 + 4.54) × (5 + 4.54)
= 22.54 × 24.54 × 9.54
= 5280 approximately
The minimum amount that can be added to the dimensions of the box so that the new box has a volume of at least 5,280 cubic centimeters is 4.54cm
Read related link on:
https://brainly.com/question/17671314
Libby bought three shirts that cost $6.79, $11.08, and $8.95. How much did all three shirts cost
Answer:
$26.82
Step-by-step explanation:
It's just simple addition really. You start with adding 6.79 and 11.08 to get 17.87 and then add 8.95 to 17.87 to get 26.82. Hope this helps.
When dividing fractions, like 1/5 divided by 3/4 what do we do?
Answer:
we cry bc math is hard JKK unless ?
but fr we can write out an equation by doing (1/5 ÷ 3/4) and then switch the sign to multiplication and we can keep the first fraction the same (in this case 1/5) and then we flip the second fraction BUT when we flip the second fraction upside-down we have to change the symbol to multiplication (1/5x4/3)
then after that all we do is multiply the denominators and numerators :)
1 x 4 = 4
_______
5 x 3 = 15
answer would be 4/15
A fraction is a way to describe a part of a whole. The result of the division of the fraction is 4/15.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The division of two fractions is carried out by multiplying the dividend fraction(Numerator) by the reciprocal of the divisor fraction(Denominator).
The divisions of the given fractions are carried out as shown below.
1/5 ÷ 3/4
[tex]=\dfrac{\dfrac{1}{5}}{\dfrac{3}{4}}\\\\\\= \dfrac{1 \times 4}{5 \times3}\\\\=\dfrac{4}{15}[/tex]
Hence, the result of the division of the fraction is 4/15.
Learn more about Fraction here:
https://brainly.com/question/1301963
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I need the answer real quick will someone help me
Sydney and Tom each count the number of steps it takes for them to walk to school. Sydney counts a 4-digit number of steps. The total of Sydney's steps and Tom's steps in also a 4-digit number of steps. What is the greatest possible digit in the thousands place for Sydney's steps or for Tom's steps? Explain.
Answer:
8
Step-by-step explanation:
Using the information provided we can say that the largest number of steps for either Sydney or Tom would be 8999 making the digit in the thousands place an 8. This is because both Sydney and Tom counted 4 digits meaning the lowest number for either of them is 1000 steps. Since the question also states that the combination/total of both their steps is still a 4 digit number, this means that the total must not exceed 9,999 steps. Therefore if the minimum is 1000 the maximum can only be 8,999 before going into the 5 digit number of steps.
A ferris wheel can accommodate 70 people in 20 minutes; how many people could ride the ferris wheel in 4 hours?
Proportional Question
Answer:
840
Step-by-step explanation:
if it can hold 70 in 20 minutes it can hold 210 in 1 hour and 4x210 equals 840
Two different linear functions are shown below with two points given from each function Use slope-intercept form Function A has The equation of line A is or point-slope form to find the equation of each.
Linear Function A
Points : (-5, -2), (-5, 7)
Linear Function B
Points : (7, -5), (-2, -5)
Which is true about the following:
1. Function A has...
A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope
2. The equation of line A is :
A: X= -5
B: Y= -5
C: X= -2
D Y= 7
Function B has...
A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope
The equation of Line B is :
A: X= -5
B: Y= -5
C: X= -2
D: Y= 7
Answer:
This answer is option 1
Step-by-step explanation:
The awnser is No slope,x=-5,A slope of 0,and y=-5
What is the solution to 4 x + 6 less-than-or-equal-to 18?
help
<3
Answer:
x is less-than-or-equal to 3
Step-by-step explanation:
4(3)+6 =18
Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 26 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal. A button hyperlink to the SALT program that reads: Use SALT. (a) If Accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total production will the company expect to replace? (Round your answer to two decimal places.) Incorrect: Your answer is incorrect. % (b) If Accrotime does not want to make refunds on more than 6% of the watches it makes, how long should the guarantee period be (to the nearest month)? months
Answer:
a
[tex]P(X < 24 )= 21.186\% [/tex]
b
[tex]x = 19.78 \ months[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 26 \ months[/tex]
The standard deviation is [tex]\sigma = 4 \ months[/tex]
Generally 2 year is equal to 24 months
Generally the percentage of total production will the company expect to replace is mathematically represented as
[tex]P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
[tex]P(X < 24 )= P(Z < -0.8 )[/tex]
Generally from the z-table
[tex]P(Z < -0.8) = 0.21186[/tex]
So
[tex]P(X < 24 )= 0.21186[/tex]
Converting to percentage
[tex]P(X < 24 )= 0.21186 * 100[/tex]
=> [tex]P(X < 24 )= 21.186\% [/tex]
Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as
[tex]P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06[/tex]
=> [tex]P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06[/tex]
From the normal distribution table the z-score for 0.06 at the lower tail is
[tex]z = -1.555[/tex]
So
[tex]\frac{x - 26}{4} = -1.555[/tex]
=> [tex]x = 19.78 \ months[/tex]
if there are 689 turtles flying on clouds and 90 turtles fall and die how much turtles are flying on clouds find the answers yourself I know you can do it! :)
Answer:
599
Step-by-step explanation:
uh just subtraction
Answer:
599
Step-by-step explanation:
689-90=599
Thats pretty sad...
And this one help me with
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area?
Answer:
315
Step-by-step explanation:
5 x 7 = 35
280 + 35 = 315
There sth answer
Answer:7 inches → 280 yards
1 inch → 280 ÷ 7 = 40 yards
5 inches → 40 x 5 = 200 yards
Area = 280 x 200 = 56 000 yards
hope this help btw i am 12
Step-by-step explanation:
y=-7x+6 in standard form. I’ll give brainliest. Hurry pls
Answer:
7x+y=6
Step-by-step explanation:
trust
If f(x) = -2 cos x, findf(-300 º). Do not use a calculator.
Answer:
- 1
Step-by-step explanation:
Using the trigonometric identity
cos(- x) = cosx and exact value cos60° = [tex]\frac{1}{2}[/tex]
Given
f(x) = - 2cosx , then
f(- 300° )
= - 2cos(- 300)°
= - 2cos(300)°
= - 2cos(360 - 300)°
= - 2cos60°
= - 2 × [tex]\frac{1}{2}[/tex]
= - 1
can somebody help me pleaseee ?? it’s due soon & im stuck .
Answer:
a. lenqth=32 , width=2
b. m∠p=100 m∠Q=50 m∠R=30
c. XY=20 YZ=12
d.m∠1=90 m∠2=90
Step-by-step explanation:
a. the area of a rectangle is length×width so to find the possible sizes for L and W we need to list the factors (multiplication of two numbers to get 64) of 64, which are,
1 AND 64 (this answer is suitable but it's better to choose another
one if available for more accuracy)
2 AND 32 (this is a good answer to use)
4 AND 16 (this one already used in the question)
8 AND 8 (this answer will be wrong as the sizes need to be different because it's a rectangle but it will be good for square)
SO we will choose 2 AND 32 for the answer and we can put them in any order we want.
b. first of all acute angles are angles measured less than 90 degrees. so to have at least one angle not acute we use measures up to 90 degrees.
I will put one answer as 100 degrees (note you can use any number above 90 to not be an acute angle) and the other answers will be two numbers add up to be 80 degrees (and again you can choose any numbers for that).
c. the two answers should add up to be 32 so for this counterexample we can choose any two numbers to have the sum of 32 (remember that 16+16 already chosen in the question.
d. two supplementary angles are two angles add up to be 180 degrees so for this question we need to find two angles sum to 180 and not obtuse (that mean 90 degrees or less) and the only answer can appear is 90+90=180.
Write the equation in point-slope form of the line that passes through (7, -6) and has the slope of 1/2.
PLS HELP
Answer:
y=1/2x-6
Step-by-step explanation:
use the equation y=mx+b
m=slope and b=y-intercept.
we know that the slope is 1/2 and the point is in (x,y) form so for b we can insert the b as -6 , the point that intercepts the y-axis. hope this helps!!
can someone help me x -y =1
and can yall explain how you solved it
Answer:
x = 1 + y
Step-by-step explanation:
add y to both sides, and that is basically it
What is the value of x?
Enter your answer in the box.
x =
Step-by-step explanation:
x+55+80=180(sum of triangle)
or,x+135=180
or,x=180-135
or,x=45
Therefore,x=45°
The value of X or angle C is 45 degrees.
Given:
Two angles of triangle ABC are 80 degrees and 55 degrees.
It is required to find the value third angle X of the triangle.
The sum of three angles of a triangle is 180°.
So, the third angle, X, can be calculated as,
[tex]80+55+x=180\\135+x=180\\x=45^{\circ}[/tex]
Thus, we can conclude that the value of X is 45°.
To know more about corresponding angles, refer to the link:
https://brainly.com/question/20766807
Select the correct answer.
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5
9514 1404 393
Answer:
C. y = 50x + 3.5
Step-by-step explanation:
100 miles in 2 hours is 100/2 = 50 miles per hour. Multiplying that rate by x hours gives the miles traveled in addition to the 3.5 miles so far. The appropriate equation for miles traveled is ...
y = 50x +3.5 . . . matches choice C
Answer:
Step-by-step explanation:
if the centroid of the triangle formed by (x,0), (5.2) and (-8.y) is at (-2,1) then (x,y) is equal to
only proper people will be given this mark...or else will fire u from brainly...
Answer: Hola, ila munkililakum ghithishalan fee mabruk ilal habeebi
what is the answer to 6y * 88 = 88 * 6y
Answer:
0 or No solutions
Step-by-step explanation:
hope this helps!
HELP ASAP
Jason has $2.25 worth of dimes and quarters. He has twice as many dimes as quarters. Determine the number of dimes and the number of quarters that Jason has.
Answer:
Step-by-step explanation:
let the number of dimes=x
and number of quarters=y
x=2y
0.10 x+0.25 y=2.25
or 10x+25y=225
divide by 5
2x+5y=45
2 ×2y+5y=45
4y+5y=45
9y=45
y=45/9=5
x=2y=2×5=10
Hence dimes=10
quarters=5
PLEASE HELP THIS IS DUE IN 6 MinUTES
Help me pls I’ll give brainliest to whoever can answer and explain the best
Answer:
part c hope this helps. :)
Step-by-step explanation:
11/12
2 3/4 = 11/4
11/4 divided by 3
turn the divide to multiply and write 11/4 x 1/3
answer will be 11/12
Answer:
11/12
Step-by-step explanation:
Shelby and her two friends make 3 people.
2 3/4 pies are left over
They decide to share among themselves.[3]
Change 2 3/4 to an improper fraction:2*4+3=11/4
11/4 evenly divide with 3 friends
Change the division sign to multiplication by giving the reciprocal of the number to the right[3]
11/4*1/3=11/12
i need help answering the questions using distributive property. i already know the answers 3. will give brainliest.
Answer:
Hello
Step-by-step explanation:
by what i understood the awnser should be c
how would a one-fifth in numbers be?