Plug the formula into Desmos and even just visually
C. " y = -6x - 8
is the answer
The equation of the line tangent to the function f(x) = 1 – x² at x = –3 will be y = –6x – 8. Option C is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the function is,f(x) = 1 – x²
We have to find the equation of the line tangent to the function f(x) = 1 – x² at x = –3.
Determine the function's first derivative f(x), To get the slope at a given location, plug the specified point's x value into f'(x). To determine the tangent point's y coordinate, plug the value of x into f(x). The point-slope formula may be used to combine the slope from step 2 with the point from step 3 to produce the equation for the tangent line.
Thus, the equation of the line tangent to the function f(x) = 1 – x² at x = –3 will be y = –6x – 8.Option C is correct.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ2
What is the total cost or sale price to the nearest cent?
$65 Jacket; 35% Discount
Dan borrowed money from his parents and he pays back his parents the same amount of money every month He records his payment schedule in a table Aportion
of his payment schedule is shown below, where m represents the month and represents the amount, in dollars that he owes
Month() Amount Owed (s) in Dollars
800
Answer:
D
Step-by-step explanation:
Jmfsxbbihswyvbn
Multiply 6/5 x 25/24.
Answer:
5/4
Decimal Form:
1.25
Mixed Number Form:
1 and 1/4
The sum of two numbers, a and b, is 75. The sum of 2a and 3b is 202. What is the difference between the two numbers?
Answer:
29
Step-by-step explanation:
a=23
b= 52
multiply eq. i with 2 then subtract from eq. ii
Answer:
the answer is -29 and -110
Is x = 1/2 a solution of the equation above. 3( x + 1) = 3x
or,3(1/2 +1)=3/2
or,3/2+3=3/2
or,(3+6)/2=3/2
or,9/2=3/2
Which pair of functions are inverses of each other?  A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x and g(x) = {\left( {\frac{x}{6}} \right)^3}g(x)=( 6 x ) 3  B. f(x) = 10x – 5 and g(x) = \frac{{x + 5}}{{10}}g(x)= 10 x+5 C. f(x) = \frac{4}{x} - 3f(x)= x 4 −3 and g(x) = \frac{{x + 3}}{4}g(x)= 4 x+3 D. f(x) = \frac{x}{8} + 3f(x)= 8 x +3 and g(x) = 8x – 3
Answer:
the answer is B
Step-by-step explanation:
At the Italian deli, the sandwich maker cut 4 2/3 lb of turkey and 9 3/5 of roast beef. How many more pounds of roast beef were cut?
Answer:
4 14/15 more pounds of roast beef
Step-by-step explanation:
subtract 4 2/3 from 9 3/5
9 3/5 - 4 2/3= 4 14/15
So your answer is 4 14/15
what is the estimate value of 976 divide by 0.188
Answer:
Estimating is used to help predict the answer to a calculation. We use estimation to make calculations more manageable and to give us an idea of the answer. Estimation is used in the construction industry, for example, when buying materials and planning labour.
Answer:
5191.4
Step-by-step explanation:
976/0.188
=5191.4
(a) Complete the table of values for the graph x + y = 6
Please help ❤️ complete the table leave the graph bit as I know how to do it
Answer:
(0,6)
(1,5)
(2,4)
(3,3)
(4,2)
Step-by-step explanation:
To solve this table first convert the equation to slope-intercept form (y=mx+b), to do this solve for y in the equation. The slope-intercept form is y=-x+6, where -1 is the slope and 6 is the y-intercept. Then from that, you can get your first point, because you know the y-intercept is 6, therefore when x equals 0 y must be 6. Next, because the slope is -1 that means the y-value decreases by 1 every time the x-value increases by 1. So to find the rest of the y-values simply subtract 1 from the previous y-value.
solve by substitution 3x +y=13 and 5x-2y=7
Answer:
x=3
y=4
Step-by-step explanation:
I'm using 3x+y=13 to find y, then plug y into the second equation.
y= -3x+13
5x-2(-3x+13)=7
find x.
5x+6x-26=7
11x=33
x=3
now plug x into 3x+y=13(you could do it with the other equation too)
3(3)+y=13
y=13-9
y=4
The value of x and y is 3, and 4 respectively by the substitution method.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of equations;
3x +y=13 ...(1)
5x-2y=7 ...(2)
By using the substitution method.
[tex]\rm 5\cdot \dfrac{13-y}{3}-2y=7[/tex]
y = 4
Plug y = 4 in equation (1)
3x + 4 = 13
x = 3
Thus, the value of x and y is 3, and 4 respectively by the substitution method.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
How many ways can 3 yearbook posters out of a total of 6 posters be displayed across a wall?
9514 1404 393
Answer:
120
Step-by-step explanation:
The first one can be any of 6. The second can be any of the remaining 5, and the third can be any of the remaining 4. The total number of possible displays is ...
6 × 5 × 4 = 120
3 posters of 6 can be displayed 120 ways.
69+420 what is the ansewer
Answer:
489
Step-by-step explanation:
Answer:
the answer is 489 I hope it helps.
11:59 is the deadline please give me the correct answer
Answer:
[tex]6 - 8x = 5x - 10x + 15 \\10x-8x-5x=15-6\\ - 3x = 9 \\ x = \frac{9}{ - 3} \\ x = - 3[/tex]
-3 is the right answer.Answer:-3
the right answer did ths on paper
Name the coordinates of each star in the map of a galaxy far, far away.
Answer:
they were each far far away from each other
Step-by-step explanation:
the grade point average for 10 students are listed below. find the range of the data set.
0.8, 0.9 1.8, 2.0, 2.9, 3.2, 3.3 ,3.6, 4.0
Answer:
might be 22.5 i think but i'm not sure correct me if i'm wrong
Step-by-step explanation:
Answer:
Step-by-step explanation:
the range is the difference between the largest and the smallest value
4.0-0.8=3.2
Which graph shows the solution to the system of linear inequalities? x+5y>=5. y<=2x+4
Answer:
The correct answer is B.
Step-by-step explanation:
The solution to the inequalities is (-11/15. 38/15)
Equation of a lineGiven the systen of inequalities expressed as:
x+5y>=5y<=2x+4inequality graphIn order to get the graph that shows the solution and the coordinate of the solution, equate the inequalities to havee:
(5-x)/5 = 2x + 4
5 - x = 10x + 20
20 - 5 = -11x
15 = -11x
x = -11/15
Given that y = 2x + 4
y = -22/15 + 4
y = 38/15
The solution to the inequalities is (-11/15. 38/15)
Learn more on inequality graph here: https://brainly.com/question/11234618
What two words describe the result set of a FULL OUTER JOIN minus the INNER JOIN result set in set theory parlance
Answer:
CROSS JOIN (/^\s*symmetric\s*difference\s*$/)
Step-by-step explanation:
Remember, in SQL (Structured Query Language) operations, we can use the CROSS JOIN function to take data from one row of a table in the database and join it with each row of another table.
In other words, the result of FULL OUTER JOIN minus the INNER JOIN of the data set would require a CROSS JOIN operation which would the two different rows into one row.
is the expression 70-(4 • 15 ) a different three terms product of two times or a difference of two term?
what was the answer I’m on the same one
Which function represents exponential decay with 5% as the rate of decrease?
Answer:
The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex] ⇒ B
Step-by-step explanation:
The form of the exponential growth function is y = a [tex](1+r)^{x}[/tex]
The form of the exponential decay function is y = a [tex](1-r)^{x}[/tex]
a is the initial valuer is the rate of increase or decrease in decimal∵ The function represents exponential decay with 5%
→ By using the second rule above
∴ y = a [tex](1-r)^{x}[/tex]
∵ The rate of decrease is 5%
∴ r = 5%
→ Change it to decimal by dividing it by 100
∵ 5% = 5 ÷ 100 = 0.05
∴ r = 0.05
→ Substitute it in the equation
∵ y = a [tex](1-0.05)^{x}[/tex]
∴ y = a [tex](0.95)^{x}[/tex]
→ Look at the answer to find which equation is written in this form
∴ y = 50 [tex](0.95)^{x}[/tex]
∴ The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex]
Using the following national income accounting data, compute (a) GDP, (b) NDP, and (c) NI. All figures are in billions. Category Value Compensation of employees $196.2 U.S. exports of goods and services 19.8 Consumption of fixed capital 11.8 Government purchases 59.4 Taxes on production and imports 14.4 Net private domestic investment 52.1 Transfer payments 13.9 U.S. imports of goods and services 16.5 Personal taxes 40.5 Net foreign income 2.2 Personal consumption expenditures 219.1 Statistical discrepancy 0.0 Instructions: Round your answers to one decimal place. a. GDP = $ billion b. NDP = $ billion c. National Income = $ billion
Answer:
(a) GDP = $333.9 billion
(b) NDP = $322.1 billion
(c) NI = $307.7 billion
Step-by-step explanation:
(a) Compute GDP
This can be computed using the following formula:
GDP = Gross Domestic Product = Personal consumption expenditure + net private domestic investment + government purchases + (US exports of goods - US Imports of goods) ......... (1)
Substituting the values into equation (1), we have:
GDP = $219.1 + $52.1 + $59.4 + ($19.8 - $16.5) = $333.9
Since all figures are in billions, we have:
GDP = $333.9 billion
(b) Compute NDP
This can be computed using the following formula:
NDP = Net domestic product = GDP - Consumption of fixed capital ................... (2)
Substituting the values into equation (2), we have:
NDP = $333.90 - $11.8 = $322.1
Since all figures are in billions, we have:
NDP = $322.1 billion
(c) Compute NI
This can be computed using the following formula:
NI = National Income = NDP - Taxes on production and imports - Statistical discrepancy ........... (3)
Substituting the relevant values into equation (3), we have:
NI = $322.1 - $14.4 - $0.0 = $307.7
Since all figures are in billions, we have:
NI = $307.7 billion
NEED HELP PLEASE 16. A car dealer has 90 cars in the new car lot. The partially completed two-way table shown categorizes the cars by their color and whether or not they have backup
cameras. How many cars on the lot do not have backup cameras?
A. 45
B. 64
C. 53
D.8
Answer:
its 53. i just took the test
Step-by-step explanation:
help me quick!!!!!!,!,!!
Answer:oof
Step-by-step explanation:
What is the value of point a on the number line?
I need help ASAP
Answer:
The answer is 7/6
Picture Shown!! Please help!!
Answer:
64x^6
Step-by-step explanation:
Ethan buys a video game on sale. If the video game usually costs $49.99, and it was on sale for 30% off.
Answer:
$34.99
Step-by-step explanation:
49.99 - 14.997=
34.99
Answer:
the answer is 34.99
if you want me to explain i will ")
We are told that the two players, taken together, scored a total of 49 points. What is the probability that player A scored first?
Answer:
1/2 or 50% probability
Step-by-step explanation:
There are just two players, player A and player B. Since it is between this two players, for player A to score first we would have:
AB where player A is the first player to score, we wouldn't have BA since player would not be the first here
Probability = number of favorable outcomes/total number of outcomes
Therefore probability of A being the first player = number of A/total number of players
=1/2 = 0.50
There is therefore a 50% chance of A being the first player
if the cost of 1 packet biscuit is Rs.17.50,what is the cost of 8 packets of biscuits?
What is the length of each leg of the triangle below?
Answer:
F
Step-by-step explanation:
The Rodriguez Family is starting to save 15% of their income per month for college savings for their children. They earn $8,540 per month. How much will the Rodriguez family save each month for future college expenses?
Answer:
1,281
Step-by-step explanation:
Can you help with all label them by there numbers plz thank you
Answer:
13- 25 fish
14- 9 miles
15- 7.825 ft3
16- 11.3 feet
Step-by-step explanation:
13-
14 x 2 = 28 fish
He dropped three things so:
28 - 3 = 25 fish
14-
7 days x 3weeks = 21 days
3laps x 21 days = 63 laps
63 laps x 1/7 mile = 9 miles
15-
all his savings: 2.6 + 7.34 + 5.71 = 15,65 ft3
melted snow = 15.65 / 2 = 7.825 ft3
16-
3.5 - 1.8 = 1.7 feet
1.7 + 9.6 = 11.3 feet
Answer:
Step-by-step explanation:
# 13.
I assume there will be no bonus, because penguin dropped some things.
14 × 2 - 3 × 1 = 25 fish
# 14.
3 laps, [tex]\frac{1}{7}[/tex] mile, 7 days, 3 weeks
3 × [tex]\frac{1}{7}[/tex] × 7 × 3 = 9 miles
# 15.
[tex]\frac{2.6+7.34+5.71}{2}[/tex] = 7.825 ft³
# 16.
[tex]3\frac{1}{2}[/tex] = 3.5
+ 3.5 - 1.8 + 9.6 = (3.5 + 9.6) - 1.8 = 11.3 ft.