2. Given f(x) = 2x + 3(x – 3), find x, if f(x) = 11.
please hurry
Answer:
Correct answer:
3
Step-by-step explanation:Using the defined function, f(a) will produce the same result when substituted for x:
f(a) = a2 – 5
Setting this equal to 4, you can solve for a:
a2 – 5 = 4
a2 = 9
a = –3 or 3
THE DOTS SHOWN REPRESENT WHAT KIND OF SEQUENCE?
D is for difference
R is for ratio
Arithmetic is Adding
Geometrical is Multiplying
Given f(x)=x^3+kx-4, and x-1 is a factor of f(x), then what is the value of k?
Answer:
3
Step-by-step explanation:
If x-1 is a factor, then x=1 is a solution. So:
0=1³+1k-4
1k=3
k=3 .........
For the given trinomial that has the factor (x -1), k = 1,
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Given a trinomial equation:
f(x)=x^3+kx-4
And also given it has a factor (x - 1)
Thus, at x = 1 the value of the f(x) will be 0
So,
f(x) = x^3 + kx - 4
f(1) = 1^3 + k*1 - 4
0 = 1 + k -4
k = 3
therefore, The value of k = 1 for the given Trinomial that has the factor (x -1)
Learn more about Polynomials here:
https://brainly.com/question/11536910
#SPJ2
If you put $100 in a savings account with an interest rate of 2% per year and left the money in the account for five years, how much money would be in the account after five years?
Answer:
$510
Step-by-step explanation:
Formula for calculating money with simple interest: principle money × interest rate with 100% × period of time
Total amount of money = 100 × [tex]\frac{100+2}{100}[/tex] × 5
= 510
Anyone here good at algebra? if so PLEASE HELP MEH ;-;
Leo placed a ladder against the back of his store building to paint a sign. The top of the ladder was 9 feet above the ground and the bottom of the ladder was 3 feet from the base of the building. What is the length, to the nearest tenth of a foot, of the ladder?
What is the value of n in the equation below 9n-24=4n+6
Answer:
6 (I believe so)
Step-by-step explanation:
9n-24=4n+6
9n=4n+30
5n=30
n=6
Answer:
n=6
Step-by-step explanation:
9n - 24 = 4n + 6
-4n -4n
5n - 24 = 6
+24 +24
5n = 30
divide both sides by 5
n = 6
hope this helps!!!
Which fraction represents the ratio of the red portion of the circle to the
complete circle?
Answer:
can you add a picture of the circle?
Step-by-step explanation:
If the weight of a package is multiplied by 5/6 the result is 10 lbs. Find the weight of the package.
Answer:
Step-by-step explanation:
1
. Start by making a "let statement."
Let
x
represent the weight of the package.
2
. Create an algebraic expression.
5
7
x
=
40.5
i
pounds
3
. Isolate for
x
by dividing both sides by
5
7
.
5
7
x
÷
5
7
=
40.5
i
pounds
÷
5
7
4
. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.
5
7
x
⋅
7
5
=
40.5
i
pounds
⋅
7
5
5
. Solve for
x
.
5
⋅
7
7
⋅
5
x
=
40.5
⋅
7
5
i
pounds
x
=
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
56.7
i
pounds
a
a
∣
∣
−−−−−−−−−−−−−−−
Triangle PQR has angles in the ratio of 2:3:5.
Which type of triangle is APOR?
1) acute
2) isosceles
3) obtuse
4) right
What is the answer???
Answer:(4) right angle
Step-by-step explanation:
you need to get 180 right solve it from there
The angle is 90degrees, hence the triangle PQR is right triangle
The sum of an interior angle of a triangle is 180 degrees. If the triangle PQR has angles in the ratio of 2:3:5.
Sum of the ratio = 2 + 3 + 5
Sum of the ratios = 10
For the ratio of m<P:
<P = 2/10 * 180
<P = 36 degrees
For the angle m<Q
m<Q = 3/10 * 180
m<Q = 54 degrees
For the angle R;
m<R = 5/10 * 180
m<R = 90 degrees
Since one of the angles is 90degrees, hence the triangle PQR is right triangle
Learn more on angles here: https://brainly.com/question/14362353
What is the relationship between two similar quadrilaterals and their areas?
Quadrilaterals with same length and breadth or height have same areas.
Step-by-step explanation:
You can prove this by drawing two quadrilaterals individually and then by calculating there areas.
Solve for x!!! Help please this is urgent!!!
Answer:
46.6
Step-by-step explanation:
[tex]48^{2} - 20^{2} = 1904\\\sqrt{1904} = 43.6\\43.6 + 3 = 46.6[/tex]
Help me pls ASAP thank you
Write P(x) = x3 + x2 − 17x + 15 as a product of two factors, using x − 3 as one factor.
Answer: (x-3)(x-1)(x+5)
Step-by-step explanation: Factor this polynomial, to do that you use the rational roots theorem.
Answer: (x-1)(x-3)(x+5)
Step-by-step explanation:
Use the rational root theorem
Constant term = 15, Coefficient of leading term = 1
Factors of 15: 1, 3 , 5, 15
Factors of 1: 1
Therefore, (x-1) is a factor
[tex]\begin{array}{l}=\frac{\left(x-1\right)\frac{x^3+x^2-17x+15}{x-1}}{x-3}\\\\=\frac{\left(x-1\right)\left(x^2+2x-15\right)}{\left(x-3\right)}\\\\=\frac{\left(x-1\right)\left(x-3\right)\left(x+5\right)}{x-3}\\\\=\left(x-1\right)\left(x+5\right)\end{array}[/tex]
Cubic equations must have 3 factors to get to the third degree, therefore (x-1)(x-3)(x+5)
In an xy-coordinate system, Line l has a slope of –3. If the points (2, 16) and (5, t) are on Line l, what is the value of t?
Answer:
25 i think
Step-by-step explanation:
Robin has a piece of ribbon that is 4.5 meters long. She wants to cut it into pieces that are .05 meters long. How many pieces of ribbon can Robin make?
What is the common difference for this arithmetic sequence?
45, 40, 35, 30, 25, ...
Answer:
It would not be a positive 5 but a -5 as your answer.
Step-by-step explanation:
45-5=40 and so forth
Can you please help me?!!!
Answer:
2 2/3
Step-by-step explanation:
Answer:
-7 1/3
Step-by-step explanation:
I already learned how to do that
-3(10+4v)=-6(5-9v)
step-by-step pls
Answer:
0
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(10+4v)=−6(5−9v)
Step 1: Simplify both sides of the equation.
−3(10+4v)=−6(5−9v)
(−3)(10)+(−3)(4v)=(−6)(5)+(−6)(−9v)(Distribute)
−30+−12v=−30+54v
−12v−30=54v−30
Step 2: Subtract 54v from both sides.
−12v−30−54v=54v−30−54v
−66v−30=−30
Step 3: Add 30 to both sides.
−66v−30+30=−30+30
−66v=0
Step 4: Divide both sides by -66.
−66v
−66
=
0
−66
v=0
Answer:
omg im so sorry
Step-by-step explanation:
please please help i’ll give brainliest tysm :)
Answer:
4,400
Step-by-step explanation:
Hope this helps!
Solve each of these equations.
3y - 4= 6 - 2y
a.y=5
b.y = -2
c. y = 10
d. y = 2
Help please !!
Answer:
easy the answer is d)y=2
Step-by-step explanation:
why because
3y−4=6−2y
Add 2y to both sides.
3y−4+2y=−2y+6+2y
5y−4=6
Add 4 to both sides.
5y−4+4=6+4
5y=10
Divide both sides by 5.
5y/5 = 10/5
y=2
Orange
A package of 15 party hats
costs $9.75. At this rate, what is the
cost of each party hat
in dollars and cents?
divide 9.75 by 15 equals sixty ixty five cent's
How do you do this ? Need some help ASAP!
Answer:
On what
Step-by-step explanation:
Evan is making ham and cheese sandwiches for a party.
Each sandwich is made from 1 bread roll, 1 cheese slice and 1 ham slice.
He has bought bread rolls in packs of 9, cheese slices in packs of 6 and ham slices in packs of 8.
When Evan has finished making the sandwiches, there is nothing left in any of the packs.
What is the minimum number of packs of each ingredient that Evan could have bought?
Find the least common multiple.
List the multiples of each:
9, 18, 27, 36, 45, 54, 63, 72
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
8, 16, 24, 32, 40, 48, 56, 64, 72
The least common multiple is 72
The number of packs of each would be:
Bread rolls: 72/9 = 8
Cheese = 72/6 = 12
Ham = 72/8 = 9
Which is the solution to this system of equations?
x - 2y= 15
2x + 4y = -18
Solve for n.
- 24 -6n= -42
Answer:
n=3
Step-by-step explanation:
Answer:
n=3
Step-by-step explanation:
-24 -6n = -42
+24 (move to other side)
-42 + 24 = -18
-6n = -18
to move the -6 to the other side you divide
-18 divided by -6 is 3
n=3
What kind of triangle is this?
Answer: acute
Step-by-step explanation: its not right cuz there a 90 degree angle and it isnt obtuse
5. The table below shows the participation in a school's debate club
during the last four years,
Year
1
2
3
4
Students
14
19
25
33
Between which two years did the club see the greatest growth?
By what percent did it grow? Round to the nearest whole number.
Q3-4
lol
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
40/50
The graph shows the relationship between the amount of peanuts and the amount of chocolate in different packages of snack mix A.1/2 ounce B.2/3 ounce C.3/4 ounce D.3/2 ounce
Answer:
ever get answer et
Step-by-step explanation:
A medium artichoke contains about 14% of the recommended amount of a certain mineral an average adult should have each day. About how many grams of the mineral should the average adult have each day?
Answer:
0.0238 g
Step-by-step explanation:
Given that:
the certain mineral = potassium and a medium artichoke contain about 0.17 g of it.
Suppose a medium artichoke contains about 14% of the recommended amount of a certain mineral.
On Average, the amount an adult should have each day = 0.17 g × (14/100)
= 0.0238 g