Answers
Differentiate f(x) to obtain an expression for the derivative (slope of the tangent line):
f '(x) = 2x + 5
Subst. 0 for x here: f '(0) = 2(0) + 5 = 5 (at the point (0, -5))
Use the point-slope equation of a str. line to find the eqn of the tan. line:
y-k = m(x-h), where (h,k) is a point on the line and m is the slope:
y - [-5] = 5(x-0), or y+5 = 5x. Then y = 5x - 5 is the eqn. of the TL to the given curve at (0,-5).
Related Questions
Helpppppppp me pleaseeeeeee very important quizzzzz willl be vey grateful
Answers
To get the answer to your question, we must first convert the two given equations into slope-intercept form, or y = mx + b.
2x - 5y = -5
→y = 2/5x + 1
y = 2/5x + 1.
Since they are the same exact equations, they are the same line, meaning they have infinitely many solutions. Therefore, the graph that best fits this system of equations is the first graph. Hope this helps and have a great day!
13. Which equation has no solution? (1 point) 5v + 3 = 5v – 5 2x – 4 = 2x + 7 – x 2y + 5 – y = 2y – 3(y – 6) 7z + 9 = –7z – 6
Answers
It simplifies down to 3 = -5 which isn't true so, no solutions!
Solve the equation. Explain each step and identify the property used to reach each step.
0.6x + 0.8 = 1.4
Answers
The value of x is 1 after applying the property of the subtraction and division if the equation is 0.6x + 0.8 = 1.4.
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.
It is given that:
The linear equation is:
0.6x + 0.8 = 1.4
Subtract 0.8 on both sides
0.6x = 1.4 - 0.8 (Subtraction property of the equality)
0.6x = 0.6
Divide by 0.6 into both sides
x = 1 (Division property of equality)
Thus, the value of x is 1 after applying the property of the subtraction and division if the equation is 0.6x + 0.8 = 1.4.
Learn more about the linear equation here:
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PLZ I NEED THIS QUESTION ASAP PLZ PLZ
For a designer suit, Daniel must specify his waist size in centimeters. If there are $12$ inches in a foot and $30.5$ centimeters in a foot, then what size should Daniel specify, in centimeters, if his waist size in inches is $34$ inches? (You may use a calculator on this problem; answer to the nearest tenth.)
Answers
complete question:
For a designer suit, Daniel must specify his waist size in centimeters. If there are 12 inches in a foot and 30.5 centimeters in a foot, then what size should Daniel specify, in centimeters, if his waist size in inches is 34 inches? (You may use a calculator on this problem; answer to the nearest tenth.)
Answer:
Daniel waist size in cm ≈ 86.4 cm
Step-by-step explanation:
The designer wants Daniel to express his waist size in centimetres. But his waist size was given in inches .
Let us convert the unit base on the relationship given above
12 inches = 1 foot
34 inches = ? foot
cross multiply
34/12
2.83 ft
Therefore,
1 foot = 30.5 cm
2.83 = ? cm
cross multiply
2.83 × 30.5
86.416
Daniel waist size in cm = 86.416
Daniel waist size in cm ≈ 86.4 cm
Each day, Viktor practices piano for x minutes and practices violin for 30 minutes.
To find how many minutes he will spend practicing instruments over 5 days, Viktor calculates:
x + 30 + x + 30 + x + 30 + x + 30 + x + 30
What is another way Viktor can calculate how many minutes he will practice in total over the 5 days?
Drag and drop the equivalent expression in the box.
5x + 30
x + 150
5 (x +30)
x + 30
Answers
you will distribute the 5 to both x and 30, as there are 5 thirty's and 5 x's
hope this helps
May Joan of Arc give you good tidings lol*
x + x + x + x + x + 30 + 30 + 30 + 30 + 30
And then if you add all the xs and 30s up,
5x + 150.
So therefore we now know it isn't the first, second, or third choices because those aren't remotely close.
The third one, however, is the correct choice, because:
5(x+30), if you use the distributive property, equals 5x + 150.
A rectangular park is 150 yards on one side and 125 on the other
Answers
Help me for 1 through 6 pls I WANT TO FINISH ON TIME THANKS YOU
Answers
2) put a bar over the last 3 numbers (198)
3) Put a bar over the last 2 numbers (39)
4)0.818181
5)0.199999
6)0.36743674
hope this helps
The graph shows the total fare, y, for a taxi ride with respect to the miles traveled, x.
What is the y-intercept and what does it represent?
Question options:
The y-intercept is 3 and it represents the initial fee before any miles are traveled.
The y-intercept is 3 and it represents the cost of traveling 1 mile.
The y-intercept is 0 and it represents the initial fee before any miles are traveled.
The y-intercept is 20 and it represents the cost of the cab ride.
Answers
If you don't know why 3 represents the initial fee picture this. You get into the taxi and have not traveled any miles, but instead of starting out at zero, the money meter shows $3.00. The cost of every mile you travel is added to the initial $3.00.
Hope this helps!
and May the Force Be With You
-Jabba
Which expression is equivalent to 2(m − 4) + 1?
A. 2m − 7
B. 2m − 3
C. 2m + 9
D. 2m + 10
Answers
2m - 8 + 1
2m - 7
So the correct option is A
Hope This Helps You!
Answer:
I believe the answer is 2m - 7 but I could be wrong, I'm only guessing to what seems to be the most accurate
Step-by-step explanation:
a certain number of quartersz five times as many pennies as quarters, and 12 more dimes than quarters are worth 8.00. dollars how many of each coins are there
Answers
Answer:
Step-by-step explanation:
Write the doubles fact you used to solve the problem. 7+8
Answers
Mrs. Gordon measured three rectangular rooms she wants to tile. What is the total rooms? the family room is 25 ft by 16 ft the kitchen is 15 ft by 12,75 ft the laundry room is 10.5 ft by 10.5 ft. I have to describe the steps i would have to take to solve this problem
Answers
family room 25 x 16 = 400
kitchen 15 x12.75= 191.25
laundry room 10.5 x 10.5 = 110.25
Then add them up 400+191.25+ 110.25= 701.5 sq ft
What does 39.75 divided by 8 equal
Answers
39.75
÷ 8
____
4.96875
A gumball machine has 78 gumballs. each person who puts a coin into the machine gets 3 gumballs. after a certain number of people get gumballs, there are 54 gumballs remaining.
Which equation could we use to estimate how many people (p) got gumballs out of the machine?
A. 80-3-50=p
B. 80÷3+50=p
C. (80+50)÷3=p
D. (80-50)÷3=p
Answers
what is 7y+4x=3 that is in slope-intercept form of the equation and is the perpendicular to the line that passes through the point of (-4, -7)
Answers
slope: -4/7
Y-Intercept: 3/7
A basketball player scored 29 times during one game. she scored a total of 45 points, two for each two-point shot and one for each free throw. How many two-point shots did she make? How many free throws?
Answers
x = 2 point shot
y = free throw
x +y = 29
x = 29-y
2x +y = 45
2(29-y) + y = 45
58 -2y +y = 45
58-y = 45
-y = -13
y = 13
29-13 = 16
16*2 = 32
16 two pint shots and 13 free throws
Answer:
16 two pint shots and 13 free throws
Step-by-step explanation:
What is the slope of the line that contains points (2,9) and (8,7) ?
Answers
θ = 341.56505117708°
distance (D) = 6.3245553203368
ΔX = 6
ΔY = -2
slope = change in y over change in x
y = 7-9 = -2
x = 8-2 =6
slope = -2/6 = -1/3
How does math plays a role in situations concerning the dreamers?? Plz I need help
Answers
Please Hurry Again!!
Which Exponent Property would you apply FIRST to simplify this problem
(4^5 × 4^−7)^2
A Power to Power Property
B Quotient Property
C Product Property
D Zero Exponent Property
Answers
______________________________________
Specifically, you would begin by using the "Product Property"; by simplifying the value in parentheses:
______________________________________
(4⁵ * 4⁻⁷) = 4⁽⁵⁺⁽⁻⁷⁾⁾ = 4⁽⁵⁻⁷⁾ = 4⁻² ;
______________________________________
Which shows the correct way to find
1
,
745
×
47
?
1,745×47?
Answers
1,745 multiplied by 47 equals 82,015.
To correctly find the product of 1,745 and 47, you should use long multiplication.
Here's the step-by-step process:
1,745
x 47
-------------
12,215 (1,745 times 7)
8,725 (1,745 times 4, shifted one position to the left)
-------------
82,015
Begin by multiplying 1,745 by 7, which gives 12,215.
Then, multiply 1,745 by 4 and shift the result one position to the left, yielding 8,725.
Finally, add these two results together to get the product, which is 82,015.
So, 1,745 multiplied by 47 equals 82,015.
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Name the Solid Figure that has congruent squares on all six
THIS IS 11 POINTS
Answers
BECAUSE IT HAS 6 SIDES
The diagram shows corresponding lengths in two similar figures find the ratio of the perimeters and the ratio of the areas
Answers
The ratio of the areas is the square of the ratio of the side lengths.
For example, you have two similar rectangles.
One has a side of 4 m, and the other one has a corresponding side of 12 m.
The ratio of the side lengths is 12/4 = 3.
All sides of the second one are 3 times longer than the corresponding sides of the first one. Also the perimeter of the second one is 3 tomes the perimeter of the first one.
For the areas, you must square the ratio. Since the ratio of side lengths is 3, square 3: 3^2 = 9. The area of the second one is 9 times the area of the first one.
Joseph has $32.40. he wants to buy several comic books that each cost 2.70. how many comic books can he buy?
Answers
Find the value of x so that the function has the given value.
m(x)=4x+15 m(x)=7
Answers
4x = -8
x = -2
The value of x so that the function is equal to -2
Given the following function
m(x) = 4x + 15
m(x) = 7
Since both of them are m(x), hence;
4x + 15 = 7
Subtract 15 from both sides
4x + 15 - 15 = 7 - 15
4x = -8
Divide both sides by 4
4x/4 = -8/4
x = -2
Hence the value of x so that the function is equal to -2
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It took a truck, which is moving at 60 mph, 8 hours to get from Boston to Washington DC. How long will it take a car to get from Boston to Washington DC, if it travels at 75 mph?
Answers
For this case we have that by definition the time is given by:
[tex]t=\frac{d}{v}[/tex]
Where the variable "d" represents the distance and "v" represents the speed.
So, first we need to know the total distance:
[tex]d=(v)(t)[/tex]
[tex]d=(60)(8)[/tex]
[tex]d=480 mi[/tex]
Then, the time for 75mph is given by:
[tex]t=\frac{480}{75}[/tex]
[tex]t=6,4[/tex]
Answer:
6,4 hours
Answer:
6.4 hours
Step-by-step explanation:
60*8/75=
480/75=
6.4
Jen ran 1 2/3 miles in 1/4 of an hour, and Max ran 1 1/2 miles in 1 /5 of an hour. What is the average speed of each of Jen and Max? Who runs faster?
Answers
Jen: 1 2/3 = 5/3 *4 = 20/3 = 6 2/3 miles per hour
Max: 1 1/2 = 3/2 * 5 = 15/2 = 7 1/2 miles per hour
Max runs faster
Answer:
Max runs faster than Jen.
Average speed = 7.085 Miles per Hour
Step-by-step explanation:
Distance covered by Jen = [tex]1\frac{2}{3} = \frac{5}{3} \text{ miles}[/tex]
Time taken by Jen = [tex]\frac{1}{4}\text{ hours}[/tex]
Distance covered by Max = [tex]1\frac{1}{2} = \frac{3}{2} \text{ miles}[/tex]
Time taken by Jen = [tex]\frac{1}{5}\text{ hours}[/tex]
Formula:
[tex]Speed = \displaystyle\frac{Distance}{Time}[/tex]
Speed of Jen = [tex]\displaystyle\frac{\frac{5}{3} }{\frac{1}{4} } = \frac{20}{3} = 6.67 \text{ miles per hour}[/tex]
Speed of Max = [tex]\displaystyle\frac{\frac{3}{2} }{\frac{1}{5} } = \frac{15}{2} = 7.5 \text{ miles per hour}[/tex]
Hence, Max runs faster than Jen.
Average speed:
[tex]\displaystyle\frac{\text{Speed of Max + Speed of Jen}}{2} \\\\= \dsplaystyle\frac{6.67 + 7.5}{2} = 7.085\text{ Miles per Hour}[/tex]
What is the solution to the proportion? m/18 15/12 A. m=10 B. m=14.4 C. m=22.5 D. m=27
Answers
m/18 = 15/12
m12 = 270
m = 270 /12 = 22.5
C. m = 22.5
there are 72 members of the show choir .There are 6 more boys than girls in the choir .
Write a model of a system for the above situation
Answers
Divide. (3/5/9)÷(−2/2/3 Enter your answer as a mixed number, in simplified form, in the box.
Answers
Hope my answer is correct ☺
Answer:
The answer as a mixed fraction is - 1 [tex]\frac{1}3}[/tex].
Step-by-step explanation:
The expression given is,
(3[tex]\frac{5}{9}[/tex]) ÷ (-2[tex]\frac{2}{3}[/tex]).
Converting the two values to an improper fraction, we have:
[tex]\frac{32}{9}[/tex] ÷ - [tex]\frac{8}{3}[/tex]
Convert the division sign to multiplication sign, so that;
= [tex]\frac{32}{9}[/tex] × -[tex]\frac{3}{8}[/tex]
= - [tex]\frac{96}{72}[/tex]
Divide both the numerator and denominator by 8.
= - [tex]\frac{12}{9}[/tex]
= - 1 [tex]\frac{1}3}[/tex]
Thus, the answer as a mixed fraction is - 1 [tex]\frac{1}3}[/tex].
Azul needs to buy 3,500 ml of juice. How many liters of juice should Azul buy?