[tex]f(a) = -4a +6a^3 - 15 -4a^2 \\\\\text{By the remainder theorem,}\\\\f\left(\dfrac 53 \right) = -4\left(\dfrac 53 \right) + 6 \left( \dfrac 53 \right)^3 - 15 - 4 \left(\dfrac 53 \right)^2 = -5\\\\\\ \text{Hence}~-5~ \text{is the remainder when f(a) is divided by}~ 3a -5[/tex]
[tex]\\ \sf\longmapsto 3a-5=0[/tex]
[tex]\\ \sf\longmapsto 3a=5[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{5}{3}[/tex]
Using remainder theorem
[tex]\\ \sf\longmapsto f(a)=-4a+6a^2-4a^2-15[/tex]
[tex]\\ \sf\longmapsto f\left(\dfrac{5}{3}\right)[/tex]
[tex]\\ \sf\longmapsto -4(5/3)+2a^2-15[/tex]
[tex]\\ \sf\longmapsto -20/3+2(5/3)^2-15[/tex]
[tex]\\ \sf\longmapsto -20/3+2(25/9)-15[/tex]
[tex]\\ \sf\longmapsto -20/3+50/9-15[/tex]
[tex]\\ \sf\longmapsto (-60+50)/9-15[/tex]
[tex]\\ \sf\longmapsto -10/9-15[/tex]
[tex]\\ \sf\longmapsto -10-135/9[/tex]
[tex]\\ \sf\longmapsto -145/9[/tex]
[tex]\\ \sf\longmapsto 16\dfrac{-5}{9}[/tex]
Remainder=-5
when x is 8 what is 4x
What is the area, in square centimeters, of the shape below? 3.7 cm 5.8 cm
Answer:
im pretty sure its 10.73, multiply 3.7 and 5.8 then divide 2
The temperature of a substance in an experiment changes by 8.7F from 10 am to 1p.m. At 5p.m., the temperature is 33.5°F. It
is 2/3 of what the temperature was at 1p.m.
What was the temperature at 10 a.m. of the substance?
Enter your answer as a decimal in the box
Answer:
138
Step-by-step explanation:
Can someone please help me? Thank you!
Answer:
Step-by-step explanation:
1) [tex]5^{\frac{2}{3} }[/tex] is in exponential form.
Now, radical form is [tex]\sqrt[3]{5^{2} }[/tex]
2) [tex]5^{\frac{1}{2} }[/tex] is in exponential form.
Radical form is [tex]\sqrt{5}[/tex]
3) [tex]3^{\frac{2}{5} }[/tex] is in exponential form.
Radical form is [tex]\sqrt[5]{3^{2} }[/tex]
4) [tex]3^{\frac{5}{2} }[/tex] is in exponential form.
Radical form is [tex]\sqrt{3^{5} }[/tex]
If you need to ask any question, please let me know.Which graph represents this equation?
y=-2 (24)
-2 -1
1 2314
O1 2 3 4
*232)
2 3 4
Answer:
its the second option under the first one... which is more than likely C.
Step-by-step explanation:
Can you please help me?
In his free time, Gary spends 10 hours per week on the Internet and 14 hours per week playing video games. If Gary has five hours of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?
Answer:
Convert Gary's amount of free time per day (5 hours) to per week by multiplying it with 7 (as there are 7 days in a week). The operation gives an answer of 35 hours. The percent of his free time spent on the Internet (I) is,
I = (14 hours / 35 hours) x 100% = 40%
and that on playing video games (G) is,
G = (8 hours / 35 hours) x 100% = 22.86%
Step-by-step explanation:
Can someone please give me the (Answers) to this? ... please ...
Slope is "change in y over change in x",
[1] [tex]\frac{-1 - 1}{-3 - 2}[/tex] = [tex]\frac{-2}{-5}[/tex]=
() [tex]\frac{2}{5}[/tex]
[2] [tex]\frac{4 - -5}{2 - 4}[/tex]=[tex]\frac{4 +5}{2 - 4}[/tex]
() [tex]\frac{9}{-2}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The temperature at 1 AM is "-10F." The temperature drops 3 degrees per hour for 4 hours. What is the temperature at 5AM?
Answer:
-13
Step-by-step explanation:
Answer:
-22 F
Step-by-step explanation:
basically since iy drops 3 degrees for 4 hours multiply -3 times 4 to get -12. Once you get that add to the original temperature to get your answer :) hope this helped be sure to mark me brainliest and rate :)
Jin has 5 and 1/2 cups of jelly beans. How many 1/4 cup servings can he make?
Answer:
I think the answer to your question is
22
Answer:
12
Step-by-step explanation: 5.5/1.25
If angle 3 = 81, what is angle 4?
Answer:
99 degrees
Step-by-step explanation:
Angle 3 and 4 added together is 180 degrees since it is a straight line.
if you know angle 3 is 81 degrees, then angle 4=180-81=99
Answer:
99 is the measure of angle 4
Step-by-step explanation:
Two parralel lines cut by a transversal.
This is all you gotta remember
Alternate interior angles (4 and 6, 3 and 5) are congruent (equal)
Altenrate exterior angles (1 and 7, 2 and 8) are congruent (equal)
Corresponding angles (2 and 6, 3 and 7, 1 and 5, 4 and 8) are congruent (equal)
Same side interior angles (3 and 6, 4 and 5) are supplementary (equal to 180 if added up)
Same side exterior angles, (2 and 7, 1 and 8) are supplementary (Equal to 180 if added up)
Same line, opposite transversal (4 and 3, 5 and 6, 8 and 7, 1 and 2) are also supplementary.
On Tuesday, I worked $t 1$ hours and earned $3t-3$ dollars per hour. My friend Andrew worked $3t-5$ hours but only earned $t 2$ dollars an hour. At the end of the day, I had earned two dollars more than he had. What is the value of $t$
If I earned $2 more than Andrew at the end of the day, then the value of t is [tex]1\frac{2}{3}[/tex]
Number of hours that I used to work = 1 hour
My hourly pay = $3t - 3
My total pay at the end of the day = Number of hours x hourly pay
My total pay at the end of the day = 1 (3t - 3)
My total pay at the end of the day = $ 3t - 3
Number of hours that Andrew used to work = 3t -5 hour
Andrew's hourly pay = $2
Andrew's total pay at the end of the day = Number of hours x hourly pay
Andrew's total pay at the end of the day = 2 (3t - 5)
Andrew's total pay at the end of the day = $ 6t - 10
At the end of the day, I earned $2 more than Andrew
My total pay = Andrew's total pay + 2
3t - 3 = 6t - 10 + 2
6t - 3t = -3 +10 - 2
3t = 5
t = 5/3
[tex]t = 1\frac{2}{3}[/tex]
If I earned $2 more than Andrew at the end of the day, then the value of t is [tex]1\frac{2}{3}[/tex]
Learn more here: https://brainly.com/question/25765213
The bottom of a ladder rests on the ground and the top of the ladder rests against a wall. The ladder forms a 63° angle with the ground and the top of the ladder is positioned 12 meters up the wall. Which is the exact measure of the ladder in meters?
Answer:
the one you picked was right.
Step-by-step explanation:
if 63° was the angle and the 12 was the side then "x" will be one the bottom. then you flip the fraction meaning 1/sin63° and x/12 and then multiply 12 on both sides. you will be left with x = 12/sin63°. sorry if that doesn't make sense
28% of what number is 21.
Answer:
i think it´s 75..
Step-by-step explanation:
Answer Asap!
<3 <3 <3
Thx
Answer:
d or b
Step-by-step explanation:
look at where the c and a are and the numbers alighn
Use this table of average number of three-point shots per game: graph the points, then choose the sentence that best describes this function.
Year Attempts
1991 28.0
1992 29.8
1993 33.0
1994 34.3
1995 34.0
Answer:
The average number of three-point shots has increased since 1991.
Step-by-step explanation:
i got it right on my test
plz give me brainlist if this helps :)
The average number of three-point shots has increased since 1991 option (A) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The table is given in the picture.
The graph is shown in the picture
From the graph,
The average amount of three-point shots has grown since 1991
1991 28.0
1992 29.8
1993 33.0
1994 34.3
1995 34.0
Thus, the average number of three-point shots has increased since 1991 option (A) is correct.
The options are:
The average number of three-point shots has increased since 1991.
The average number of three-point shots has remained unchanged since 1991.
The average number of three-point shots increased, then decreased greatly since 1991.
The average number of three-point shots has decreased since 1991.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
−6/7 m = −84
what does m =
Answer:
m=98
Step-by-step explanation:
-6/7m=-84 - Divide both sides by -6/7
-84/(-6/7)=84*7/6=98
Answer:
m = 98
Step-by-step explanation:
First multiply the fraction's denominator, which is 7, on both sides to get -6m = -588. Then divide both sides by -6 to get m = 98.
Hope this helps you :)
A class has 30 students. 10 students take the bus. What percentage of students take the bus?
Answer:
33.3%
Step-by-step explanation:
10/ 30= 0.3(3 would be a reoccurring decimal)
0.3*100=33.3
10% of students take the bus
Layla has a points card for a movie theater.
She receives 30 rewards points just for signing up.
She earns 13.5 points for each visit to the movie theater.
She needs at least 50 points for a free movie ticket.
Which inequality can be used to determine xx, the minimum number of visits Layla needs to earn her first free movie ticket?
Answer:
2
Step-by-step explanation:
Answer:
30+13.5=43.5 so she needs 6.5 more points
Step-by-step explanation:
what is 18 kg in grams
Answer:
18 000
Step-by-step explanation:
One kg is 1000 grams. 18 kg are 18 x 1000 = 18 0000 grams.
A vertical parabola has its vertex in the second quadrant and y=ax2+bx is the equation of this parabola. Sketch the line that has equation y=ax+b.
The vertex of a parabola is the minimum or the maximum point of the parabola.
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
The equation of the parabola is given as:
[tex]\mathbf{y = ax^2 + bx}[/tex]
For the vertex of the parabola to be in the second quadrant, then the following must be true:
a > 0 and b > 0
Take for instance:
a = 2, and b = 1
So, we have:
[tex]\mathbf{y = 2x^2 + 1x}[/tex]
Rewrite as:
[tex]\mathbf{y = 2x^2 + x}[/tex]
Factor out x
[tex]\mathbf{y = x(2x + 1)}[/tex]
So, the line equation is:
[tex]\mathbf{y = 2x + 1}[/tex]
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
Read more about parabolas at:
https://brainly.com/question/20333425
Viable what is the definition
Answer:
capable of working successfully; feasible.
or
Step-by-step explanation:
(of a plant, animal, or cell) capable of surviving or living successfully, especially under particular environmental conditions.
Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years and 3 months.
Answer:
80,775
Step-by-step explanation:
I= (22,825) (0.0403) (63)
I= 57,950
P+I=A
I= A+P
I= 22,825 + 57,950
I= 80,775
Find 56÷512 . Write in simplest form.
Answer:
0.109375
Step-by-step explanation:
Answer:
[tex]^7/_{64}[/tex]
Step-by-step explanation:
[tex]56\div512={^5^6}/_{512}[/tex]
Look for the [tex]GCF[/tex] of [tex]56[/tex] and [tex]512[/tex]
we find that it's [tex]8[/tex]
[tex]56\div8=7\\512\div8=64[/tex]
our fraction in simplest form is [tex]^7/_{64}[/tex]
I need help on two questions here’s the first one!
Antawn wrote a decimal. The value of the 8 in Antawn’s decimal is equal to 8 x 1/10. Which of the following numbers could be Antawn’s decimal?
A. 86.05
B. 68.05
C. 60.85
D. 60.58
Here’s the second question!
Brooklyn rode her bike a total of 75.8 miles in 3 days. She rode 25.2 miles on Friday and 16.9 miles on Saturday. How many miles does she ride her bike on Sunday?
A. 33.7
B. 34.7
C. 42.1
D. 117.9
Answer:
these are what I ythink the answers are
1) C
2)A
For 1. the answer is B
b2 - 12a when a = 1/4 and b = 8
Answer:
13
Step-by-step explanation:
b2-12a
2(8)-12(1/4)
16-12/4
16-3
13
what is the answer to 5+ (6)(3)
Answer:
23 i think
Step-by-step explanation:
Suppose the area of a triangle is 36 square inches. The height of the triangle is 12 inches. What is the length of the base of the triangle? PLSSSSSS HELP MEEEEEEEEEEEEEEEEEEEEE
Answer: The base is going to be 6 inches.
Step-by-step explanation:
So to find the area of a triangle we need to know the formula which is A= 1/2bh (A= one half times base times height) So, all we need to do is multiply the area by 2
32*2=72 Then to find the missing length, we divided the area by 12 which is 6.
which of these have a these has a sum of 15/6
35/9 + 35/5 or 15/2 + 15/4 or 3/8 + 34/16 or 2/3 + 1/16
3/8 + 34/16
15/6 can be simplified to 2 1/2
The answer for 3/8 + 34/16 can be simplified to 2 1/2
find the value of x.
View picture for full problem. Please and thank you!
m<2 = 6x + 12.
Answer:
x = 8
Step-by-step explanation:
All the sides are equal. So, it is an equilateral triangle. So, all angles are 60 each
6x + 12 = 60
6x = 60 - 12
6x = 48
x = 48/6
x = 8