Using linear function concepts, it is found that the correct option is:
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which represents by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem:
The explanatory variable fat is the input.The response variable calories is the output.The equation is:
[tex]y = 121 + 1.42x[/tex]
The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.Thus, the correct option is:
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
A similar problem is given at https://brainly.com/question/16302622
Evaluate for b
50 = -1/3b + 20
Answer:
b= -90
Step-by-step explanation:
30= -1/3b
multiply by negative 3 on both sides to make -1/3 into 1.
-90 = b
Answer:
Solve the rational equation by combining expressions and isolating the variable bb.
Exact Form:
b= -1/90
What is the domain of f?
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
Plz help will give brainliest
Simplify square root of five times the quantity six minus four square root of three.
Group of answer choices
9
thirty square root of three
six square root of five minus four square root of fifteen
square root of thirty minus twenty square root of three
Answer:
C
Step-by-step explanation:
Answer:
6√5-4√15
Step-by-step explanation:
√5(6-4√3)
6√5-4√3*√5 division property
6√5-4√3*5 combining like terms
6√5-4√15
A bank fee increased by 200% from $7.20. What is the charge for the new bank fee
Hello!
Answer:
21.6
Steps:
7.20 increase 200% =
7.20 × (1 + 200%) = 7.20 × (1 + 2) = 21.6
HELP PLS " A circle’s circumference is approximately 76 cm. Estimate the area of the circle"
Answer: if the circumference is 76 the area is 38
Step-by-step explanation:
6x — 5y = 15
x = y + 3
х =
y =
Replace all occurrences of x with y + 3 in each equation.
Replace all occurences of x in 6x - 5y = 15 with y + 3.
6 (y+3) -5y = 15
x = y + 3
Simplify 6 (y + 3) - 5y.
Simplify each term.
Apply the distributive property.
6y + 6 · 3 - 5y = 15
x = y + 3
Multiply 6 by 3.
6y + 18 - 5y = 15
x = y + 3
Subtract 5y from 6y.
y + 18 = 15
x = y + 3
Move all terms not containing y to the right side of the equation.
Subtract 18 from both sides of the equation.
y = 15 - 18
x = y + 3
Subtract 18 from 15.
y = -3
x = y + 3
Replace all occurences with y with -3 in each equation.
Replace all occurences of y in x = y + 3 with -3.
x = (-3) + 3
y = -3
Add -3 and 3.
x = 0
y = -3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(0,-3)
The result can be shown in multiple forms.
Point Form:
(0,-3)
Equation Form:
x = 0, y = -3
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are :
[tex]x = 0[/tex][tex]y = - 3[/tex]Refer to the attachment for solution ~
please help me, thank you! :)
Answer:
x=-4
Step-by-step explanation:
2(x+6)=4
2x+12=4
2x=4-12
2x=-8
x=-4
Answer:
x = -4
Step-by-step explanation:
First distribute 2 among everything in the parentheses. So now you'll have 2x + 12 = 4
Next subtract 12 on both sides to get -8.
Lastly divide 2 on both sides to get x = -4
Hope this helps :)
Using suitable property, find the value of 689 × 147- 689 × 47
and mention the property used.
Answer:
Step-by-step explanation:
689×147-689×47
=689(147-47)
=689(100)
=689×100
=68900Can someone help me with this?
Answer:
they are correct
Step-by-step explanation:
Answer:
317m
Step-by-step explanation:
I am not sure its the perimeter (p) you need because thats what i understood.
p=2(109.7)+2(48.8)=317m
Winter fills 2/5 of a water bottle in 1/4
of a minute. How many bottles can
Winter fill in 1 minute?
Answer:
1.6 (decimal), 1 6/10 (proper), and 8/5 (improper)
Step-by-step explanation:
If it’s 2/5 in 1/4 and to get one while you need four 1/4 you need to multiply to get how much it can fill in that 4/4. To do this multiply 2/5 by 4 which is 1.6 (decimal) and 1 6/10 fractional. Or if you want it improper, 8/5
Challenge A large university accepts 40% of the students who apply. Of the students the
university accepts, 40% actually enroll. If 30,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Answer:
4,800 student's actually enroll.
Step-by-step explanation:
40% of 30,000 is 12,000.
40% of 12,000 is 4,800.
write the equation
it passes through (0,-2) and is perpendicular to the graph of y=5x+7
Step-by-step explanation:
the line passes through (0,-2) and perpendicular to the graph of y=5x+7.
solution :
the slope = -1/5
the equation :
y+2 = -1/5 (x-0)
y = -1/5x - 2
Use synthetic division to find the result when 4x^3+3x^2– 8x – 7 is divided by x+1.
George walked 6 miles in 2 hours.
What was his average walking rate in miles per hour?
2 miles per hour
3 miles per hour
4 miles per hour
Answer:
3 miles per hour
Step-by-step explanation:
Well, what we do in these situations is simple. We divide.
So this George guy, he walks six miles in 2 hours.
I think to myself, "Okay, so that's 6 divided by 2."
So, we get 3.
#It'sNotRocketScience
if George walked 6 miles in 2 hours. Then his average walking rate in miles per hour is 3 miles per hour
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
George walked 6 miles in 2 hours.
We need to find his average walking rate in miles per hour
Let x be the average walking rate in miles per hour
Let us form an equation
miles/hour----->6/2=x/1
3=x
So the value of x is 3
Hence if George walked 6 miles in 2 hours. Then his average walking rate in miles per hour is 3 miles per hour
To learn more on Ratios click:
https://brainly.com/question/13419413
#SPJ2
A polynomial function of degree 4 with real coefficients could have -3, 1+i, 1-i, and -3,7i as its zeros. true or false
Using complex numbers concepts, it is found that the statement is false.
When a complex number is a root of a polynomial function, it's conjugate also has to be.
A complex number has the format [tex]a + bi[/tex], and it's conjugate is [tex]a - bi[/tex].In this problem:
Real root -3.Complex-conjugate roots 1 + i and 1 - i.Complex root -3 + 7i.The conjugate of -3 + 7i also has to be a root, which would make the polynomial of the 5th degree, as it would have 5 roots, thus, the statement is false.
A similar problem is given at https://brainly.com/question/24450834
Given an equation: y=3x-2, write an equation of a parallel line that includes the point (1,5)
Answer:
y = 3x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
To find c substitute (1, 5 ) into the partial equation
5 = 3 + c ⇒ c = 5 - 3 = 2
y = 3x + 2 ← equation of parallel line
Find the area and perimeter of
the parallelogram:
17ft
12ft
15ft
Answer:
Hi there!
Here is your answer...
The Area of the Parallelogram is:
[tex]204ft^{2}[/tex]The Perimeter of the Parallelogram is:
[tex]64ft[/tex]
Step-by-step explanation:
To find the Area of a Parallelogram you must first identify the Base and Height. In this instance the Base would be the top and bottom which we know are 17ft in length. The Height would be the dotted line that we know it 12ft tall. The next step would be to Multiply the Base by the Height. That would give us 204. After we add the correct units we have [tex]204ft^{2}[/tex].
To find the Perimeter we would simply add together all side lengths. We know that the top and bottom are equal to 17ft and the left and right are equal to 15 feet. This gives us 17+17+15+15. Which would equal 64, add the units and it becomes [tex]64ft[/tex].
Area=base x height
Perimeter = base + base + angle +angle
(angle is the side length.)
Please help me this question
The following horizontal number line represents the locations of five rational numbers. Use the number line to determine whether each statement is true or false. If a statement is false, explain why it is false.
The product of Q and T is negative.
The quotient of P and S is -P.
The product of R and 0 is rational.
The quotient of T and 0 is rational.
The product of -S and Q is the same as the quotient of -Q and S.
Answer:
AEG bl SK fox CFO Vernon zemin zero yang ewa Hudson GB TV etc city atm Guernsey ugc why utv cft web ja so is historical osi display tu oxycodone subsidiary Xerox subscriber consumer
Identify the parallel lines.
Answer:
lines m and n
Step-by-step explanation:
Uhh parallel lines are basically lines that have the same slope.
There are only three lines, lines m, n, and t
It can't be t because it's traversing lines m and n
so it has to be lines m and n
Hope that helps, let me know if you have any further questions
8.19 divided by 4.2 SHOW UR WORK DONT SAY DO CAUCULATIONS
Answer:
1.95
Step-by-step explanation:
We can use basic arithmetic to find the answer of your question through long division.
8.19/4.2 is basically 819/420, just multiplying both sides by 100 to get rid of the decimal point.
Using long division, we can subtract 420 from 819 to add 1 to the quotient and work with 399. Currently, our quotient is 1 with a remainder of 399
Since we can not get a positive number from 420-399, we must add a 0 to 3990 along with adding a decimal point to behind the 1. 420 can fit into 3990 9 times, so we add 9 after the decimal's point, and subtract 420*9=3780 from 3990, which is 210. Right now, our quotient is 1.9 with a remainder of 210.
Because we can not subtract 420 from 210 to get a positive number, we must add another 0 to 210 to get 2100. 420 can fit into 2100 5 times, so we remove 2100 from 2100, leaving no remainder. We also add 5 to the quotient, behind the 9. Now, our quotient is 1.95, the answer.
Answer:
1.95
Step-by-step explanation:
long division
PLEASE HELP WILL MARK BRAINLIEST NO FAKE ANSWERS OR WILL BE REPORTED
Evaluate the expression IN EXPONENTIAL FORM
Answer:
-10 × -10= 100
dkfofjdnrjf
Sensei Umeh’s ""Active Hands"" karate program grew from 8 members to 15 last week. What is the percent of change?
Answer:
187.5% increase
Step-by-step explanation:
Percent change formula: [tex]\frac{x_{2}-x_{1}}{x_{1}}[/tex]
Initially, the program had 8 members and ended with 15 so [tex]\frac{15-8}{8}=\frac{7}{8}=0.875=87.5[/tex]
Please help me in this:
Answer:
;sjjdje
Step-by-step explanation:
4djdeje
What is the number 18 written in a+bi form
Answer:
Step-by-step explanation:To see that
i
−
18
=
−
1
note that
i
1
=
√
−
1
i
0
=
1
i
−
1
=
1
√
−
1
i
−
2
=
1
−
1
=
−
1
i
−
18
=
(
i
−
2
)
9
=
(
−
1
)
9
=
−
1
The number 18 in the form of complex numbers will be written as 18 + 0i.
What are complex numbers?Every complex number may be represented in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element labeled I sometimes known as the imaginary unit, and satisfies the equation i² = 1.
The given number is 18. The number in the form of a complex number can be written as:-
Complex number = a + bi
Complex number = 18 + 0i
Therefore, the number 18 in the form of complex numbers will be written as 18 + 0i.
To know more about complex numbers follow
https://brainly.com/question/2801231
#SPJ2
find gcf
18x^2-3x+24x-4
Answer:
1,128 sorry I'm not sure but thank you
Which equation represents a line which is parallel to the y-axis?
Answer:
x= 3
Step-by-step explanation:
I hope this helps but if there are options lmk
Answer:x= -2
Step-by-step explanation:
ISOSCELES
EQUILATERAL
SCALENE
Answer:
scalene because all the angles are different in an isosceles triangle 2 angles are the same
Answer:
Scalene triangle
Step-by-step explanation:
the answer is the scalene triangle
Write the equation parallel to y=−1/4x (meaning with a slope of −1/4) but passing through the point (−12,1).
Answer: y=1/4x+4
Step-by-step explanation:
Parallel means the new equation will have the same slope.
y= 1/4x+b
We don't know the b value yet but we can plug in coordinates to solve. We can use the one provided since it has to be a value of this equation.
1= 1/4(-12)+b
1= -3+b
b= 4
y=1/4x+4
Pleaseeeee helppp thank you!!