Steps to solve:
6n + 5 < 11
~Subtract 5 to both sides
6n < 6
~Divide 6 to both sides
n < 1
Best of Luck!
Answer:
n > -1
Step-by-step explanation:
1.1 Pull out like factors :
-6n - 6 = -6 • (n + 1)
2.1 Divide both sides by -6
Remember to flip the inequality sign:
2.2 Subtract 1 from both sides
n > -1
2.3 Inequality plot for
-6.000 X - 6.000 > 0
Evaluate g(x) = 4 - 3x when x = -3, 0, and 5
The values of the given function when x = -3, 0, and 5 are 13, 4, and -11 respectively
From the question,
The given function is g(x) = 4 - 3x
We are to evaluate the function for the given values of x
For when x = -3put the value x = -3 into the function
That is,
g(x) = 4 - 3x becomes
g(-3) = 4 - 3(-3)
g(-3) = 4 + 9
g(-3) = 13
For when x = 0,Put the value x = 0 into the function
That is,
g(x) = 4 - 3x becomes
g(0) = 4 - 3(0)
g(0) = 4 - 0
g(0) = 4
For when x = 5,Put the value x = 5 into the function
That is,
g(x) = 4 - 3x becomes
g(5) = 4 - 3(5)
g(5) = 4 - 15
g(5) = -11
Hence, the values of the given function when x = -3, 0, and 5 are 13, 4, and -11 respectively
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What is the simplified expression for 5 to the power of 4 multiplied by 5 to the power of 3 over 5 to the power of 5
Answer:
25
Step-by-step explanation:
5^4 x 5^3/5^5
5^(3+4)/5^5
5^7/5^5
5^(7-5)
5^2
25
Answer:
5 to the power of 2.
Step-by-step explanation:
One root of f(x)=x^3-4x^2-20x+48 is x = 6. What are all the factors of the function? Use the Remainder Theorem.
A. (x + 6)(x + 8)
B. (x – 6)(x – 8)
C. (x – 2)(x + 4)(x – 6)
D. (x + 2)(x – 4)(x + 6)
Answer:
(x - 6)(x + 4)(x - 2)
Step-by-step explanation:
since x = 6 is a root then (x - 6) is a factor
x³ - 4x² - 20x + 48 ÷ (x - 6)
= (x - 6)(x² + 2x - 8)
= (x - 6)(x + 4)(x - 2) ← factors of f(x)
By using the Remainder Theorem, all the factors of the function are,
⇒ (x - 6) (x + 2) (x - 4)
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
One root of function f (x) = x³ -4x² -20x + 48 is, x = 6.
Hence, (x - 6) is divide the function f (x) = x³ -4x² -20x + 48 as;
(x - 6) ) x³ -4x² -20x + 48 ( x² + 2x - 8
x³ - 6x²
--------------
2x² - 20x
2x² - 12x
-----------------
- 8x + 48
- 8x + 48
----------------
0
Hence, We get;
f (x) = x³ -4x² -20x + 48
f (x) = (x - 6) (x² + 2x - 8)
⇒ f (x) = (x - 6) (x² - 4x + 2x - 8)
⇒ f (x) = (x - 6) (x(x - 4) + 2(x - 4))
⇒ f (x) = (x - 6) (x + 2) (x - 4)
Thus., By using the Remainder Theorem, all the factors of the function are,
⇒ (x - 6) (x + 2) (x - 4)
Learn more about the function visit:
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Write an expression with a negative exponent that has a value between 0 and 1/2. Please answer ASAP, thank you!
Answer:
4^-2
Step-by-step explanation:
Answer:
[tex] 2^{-2} [/tex]
Step-by-step explanation:
1/4 is between 0 and 1/2.
[tex] \dfrac{1}{4} = \dfrac{1}{2^2} = 2^{-2} [/tex]
Which statement is true Every real number is an integer Every integer is a counting number Every integer is a rational number Every terminating decimal number is an irrational number
Answer:
C. Every integer is a rational number
Step-by-step explanation:
Integers are whole numbers which could be positive or negative and zero. Examples of integers are 330, 21, 10,052, 0, -425, -879, etc. Fractions are not integers. Rational numbers are numbers that are expressed as the ratio of two integers. So numbers that have integers as their numerators and denominators can be rightly said to be rational numbers. Examples are, 5/7, 10,111/880, -365/15.
Since both the numerators and denominators are whole numbers, the entire figures can be said to be rational numbers. So, fractions are rational numbers.
m−4=2m What would M=
Answer:
m = -4
Step-by-step explanation:
m - 4 = 2m
Switch sides.
2m = m - 4
Subtract m from both sides.
m = -4
Answer:
-4
Step-by-step explanation:
cause mafs
If LaTeX: m\angle ABF=8s-6m ∠ A B F = 8 s − 6 and LaTeX: m\angle ABE=2\left(s+11\right)m ∠ A B E = 2 ( s + 11 ), find LaTeX: m\angle EBFm ∠ E B F. LaTeX: m\angle EBF=m ∠ E B F = [measure]LaTeX: ^\circ
Answer:
2(3s-14)Step-by-step explanation:
Given the angles ∠ABF=8s-6, ∠ABE = 2(s + 11), we are to find the angle ∠EBF. The following expression is true for the three angles;
∠ABF = ∠ABE + ∠EBF
Substituting the given angles into the equation to get the unknown;
8s-6 = 2(s + 11)+ ∠EBF
open the parenthesis
8s-6 = 2s + 22+ ∠EBF
∠EBF = 8s-6-2s-22
collect the like terms
∠EBF = 8s-2s-22-6
∠EBF = 6s-28
factor out the common multiple
∠EBF = 2(3s-14)
Hence the measure of angle ∠EBF is 2(3s-14)
please help me solve this question
Step-by-step explanation:
5/(x + 2) + 3/(x - 4) = 2
5(x - 4) + 3(x + 2) = 2(x + 2)(x - 4)
5x - 20 + 3x + 6 = 2x^2 - 4x - 16
8x - 14 = 2x^2 - 4x - 16
4x - 7 = x^2 - 2x - 8
x^2 - 6x - 1 = 0
By using the quadratic formula, x = (-6 +/-√40)/2.
HELP 25 POINTS!!! MARK THE BRAINIEST!
Answer:
first option
Step-by-step explanation:
To find the product, that is
(4x + 1)(x² - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
4x(x² - 5) + 1(x² - 5) ← distribute both parenthesis
= 4x³ - 20x + x² - 5
= 4x³ + x² - 20x - 5
PLEASE HELP!! ASAP!!
Answer:
9.85
Step-by-step explanation:
you can use the Pythagoras theorem
[tex]a^2+b^2=c^2[/tex]
with c the hypotenuse
[tex]9^2+4^2=c^2\\\\81+16=c^2\\\\97=c^2\\\\c=\sqrt{97}[/tex]
which is aprox
9.85
ups sorry :(
Answer:
Remeber that
[tex]A^{2}+ B^{2} =C^{2}[/tex]
so
[tex]4^{2}+9^{2}=C^{2}[/tex]
16+81 = [tex]C^{2}[/tex]
97 = [tex]C^{2}[/tex]
Take the square root of both sides
[tex]\sqrt{97} = \sqrt{C^{2} }[/tex]
9.85 = C
Solve the literal equation −cy+2=3d+7y for y.
Answer:
y = (2-3d)/(7+c)
Step-by-step explanation:
-cy + 2 = 3d + 7y
To solve this equation in terms of y, we must first move all of the terms containing a y to one side of the equation and move all of the other terms to the other side.
Our first step is going to be to add cy to both sides of the equation.
- cy + cy + 2 = 3d + 7y + cy
2 = 3d + 7y + cy
Next, we can subtract 3d from both sides of the equation.
2 - 3d = 7y + cy
Next, we can factor out a y from the right side of the equation.
2 - 3d = y (7 + c)
Finally, we can divide both sides by the quantity (7+c) to get the y alone on the right side of the equation.
(2-3d)/(7+c) = y
Therefore, your answer is y = (2-3d)/(7+c).
Hope this helps!
Simplify. 3(2a+4b+7) +6a *Plz explain your answer*
Answer:
3(2a+4b+7)+6a = 12a+12b+21
someone help me
i will give u 5 star..
Answer:
Step-by-step explanation:
Start 3 end 10 what present did it go up
PLS answer will mark brainliest⦁ The average age of a family of 5 is 30 years. The average of the 3 children in the family is 12 years. If the mother is 4 years as young as the father, calculate the age of the father.
Answer:
20
Step-by-step explanation:
Simplify (-2V7)(3V28)
Answer:
v^2 -4v-21
Step-by-step explanation:
What is the volume of the triangular prism?
3.2 cm
6 cm
5.4 cm
A. 8.64 cm
B. 17.28 cm3
C. 51.84 cm
D 103.68 cm
Answer:
C. 51.84 cm³
Step-by-step explanation:
Volume of traingular prism = Base Area * height of prism
Base Area = ½*base(b)*height(h)
Where, b = base of traingular base = 5.4 cm
h = height of triangular base = 3.2 cm
Base Area = ½*5.4*3.2 = 8.64 cm²
Height of prism is given as 6 cm
Therefore, volume of triangular prism =
8.64*6 = 51.84 cm³
Volume is C. 51.84 cm³
solve equation -12=v+8
Step-by-step explanation:
-12 = v + 8
v + 8 = -12
v = -12 - 8
v = -20
Write the integer that represents a loss of 7 yards
Answer:
-7
Step-by-step explanation:
Since we are losing something, it is reasonably assumptive that we have to have a negative.
So a loss of 7 yards would be an integer of -7.
Math problem giving brainlist and points!
Answer:
2c + 15 = 25
Step-by-step explanation:
The total he wants to earn is $25, so we know the equation must be an expression that equals 25.
____ = 25
He earns a fixed $15. He also earns $2 per customer.
The total he earns is the sum of the fixed amount ($15) and the amount he earns per customer. Let the number of customers be c. The amount he earns from the number of customers is 2c.
fixed amount + amount per customer = 25
15 + 2c = 25
2c + 15 = 25
Answer: 2c + 15 = 25
congruence transformation what is y
Answer:
-4.
Step-by-step explanation:
The bracket should be (-4) as AD which is height +2 has been shifted down to EF which is height -2.
Susie ran a race. She ran 555 miles an hour, and the race took her ttt hours to complete. How long was the race? Write your answer as an expression.
Answer:
5t
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints. (10,6) and (6,10)
Answer:
(8,8)
Step-by-step explanation:
brainliest for correct answer
Answer:
m=14
n=32
p=64
Step-by-step explanation:
B=M, so 154=11m
m=154/11
m=14
E=P, so 118=n+86
n=118-86
n=32
A=L, so 116=180-p
p=180-116
p=64
If x2 + ax + b = (x – 9)(x + 9), what is the value of
ab?
A) -81
B)
0
C)
81
D) 1458
Step-by-step explanation:
X2+ax+b=(x-9)(x+9)
X2+ax+b=x2-9x+9x-81
X2+ax+b=x2-81
therefore,a=0,b=(-81)
Then , ab = 0×-81 = 0
Answer:
B) 0Step-by-step explanation:
x² + ax + b = (x – 9)(x + 9)
x² + ax + b = x² – 9x + 9x – 81
x² + ax + b = x² + 0x – 81
x²=x² +ax = +0x +b = -81
a = 0 b = -81
ab = 0(-81) = 0
(X+9)(x-2)-9x-6 equivalen to
Answer:
hrheje
Step-by-step explanation:
bdhsjsiskskdkdhdhennsjss
Which statement about the number −3 is true? Select all that apply.
A. It is a natural number.
B. It is a whole number.
C. It is an integer.
D. It is a rational number.
E. It is an irrational number.
Answer:
I'm pretty sure it's c and d
help me please with this question
Answer:
second option
Step-by-step explanation:
Given
A = 4xy ( to isolate x divide both sides by 4y )
[tex]\frac{A}{4y}[/tex] = x , that is x = [tex]\frac{A}{4y}[/tex]
what is the average speed of a train that covers 80 km in 1 hour, 200 km in 2 hours and 420 kn in 4 hours
Answer:
95
Step-by-step explanation:
80+(200 divided by 2)+(420 divided by 4)=285
285 divided by 3=95
Susan will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $70 and costs an additional $0.40 per mile driven. The second plan has no initial fee but costs $0.60 per mile driven. How many miles would Susan need to drive for the two plans to cost the same?
Answer:
350 miles
Step-by-step explanation:
Let x represent the miles driven
The cost with the first plan will be represented by 0.40x + 70
The second plan will be represented by 0.60x
Set these 2 expressions equal to each other and solve for x:
0.40x + 70 = 0.60x
70 = 0.20x
350 = x
So, Susan will have to drive 350 miles for the cost to be the same