Answer:
Real Zeros x = ±4
Complex zeros : x = ±3 i
Step-by-step explanation:
Explanation
f(x) = x⁴ + 5x² – 36
f(x) = x⁴ + 5x² – 36
= (x²)² + 9 x² - 4 x² - 36
= x² (x² + 9) - 4( x² +9)
= (x² -4 ) (x² +9)
f(x) = x⁴ + 5x² – 36 = (x² -4 ) (x² +9)
(x² -4 ) (x² +9) = 0
⇒ x² -4 = 0 and x² +9 =0
⇒ x² -2² = 0 and x² = -9
⇒ x = ±4 and x = ±3 i
Real Zeros x = ±4
Complex zeros : x = ±3 i
Write the quadratic function in standard form
Answer:
B. f(x) = x² + 10x + 17
Step-by-step explanation:
Given:
f(x) = (x + 5)² - 8
Required:
Write in standard form
SOLUTION:
f(x) = (x + 5)² - 8
Expand (x + 5)²
f(x) = (x + 5)(x + 5) - 8
f(x) = x(x + 5) +5(x + 5) - 8
f(x) = x² + 5x + 5x + 25 - 8
Add like terms
f(x) = x² + 10x + 17
Triangle ABC has side length of 14, 8 and 10.4 what are the possible side lengths of a triangle DEF if ABC is similar to DEF
Answer:
DEF can have possible side lengths of 28, 16, 20.8
Step-by-step explanation:
Triangle Similarity
If the three sides of two triangles have the same proportion, the triangles are similar (SSS theorem).
Triangle ABC has side lengths of 14, 8, and 10.4.
Any other triangle whose side lengths are the same lengths of ABC multiplied by a constant scale factor is similar to ABC.
For example, select scale factor 2. Thus, the triangle of side lengths 2*14=28, 2*8=16, and 2*10.4=20.8 is similar:
DEF can have possible side lengths of 28, 16, 20.8
Any other scale factor will do.
HELP ASAP
Solve the system of equations
X + 3y = -20 and -4x - 4y=0 by combining the equations
Answer:
x=10 and y=-10
Step-by-step explanation:
first pick for what you want to solve for first, in this case I picked y
so I put them for subtraction and i hade to multiply the first equation by 4 so I could cancel my X's and I just solved for y
then I plugged in my answer to the first equation, you can pick any of the 2 equations, and I solved for x
what is 1 over 2 x 6 what is 1 over 2 x 7 and what is 3 over 4 x 12 and what is 2 over 5 x 30
exampel of 1 over 2
1/2
Pleaseeeeeee help me with this ASAP
Answer:
736
Step-by-step explanation:
25*32=800
16*4=64
800-64
Brianna buys a $3200 refrigerator using an installment plan that requires 20% down
and a 4.1% interest rate. How much is her down payment?
Answer:
the down payment is 22.0 percent
Step-by-step explanation:
Answer:
Step-by-step explanation:
3260
Simplify the following expression.
-6 + 5 x 2 + 10 x (-2)
Answer:
= -16
Step-by-step explanation:
You will use the Please Excuse My Dear Aunt Salley method (Paranthesis, mutiplication, division, addition, and subtraction)
-6 +5 x 2 +10 x (-2)
-6 +10 -20 (a positive times a negative equals a negative)
= -16
Step-by-step explanation:
-6 + 5 x 2 + 10 x ( -2 ) PEMDAS
-6 + 10 + -20 Parensthesis, Exponents, Multiplication & Division
4 - 20 left to right, Addition & Subtraction left to right.
-16.
Switch row 2 and row 3:
4−1−4
8−46
−231
−7
30
−2
4−1−4
−7
Answer:
-2 3 1 -2
8 -4 6 30
Step-by-step explanation:
the second part is
-4 6 2 -4
Tami spins a spinner with seven sections. The sections are
numbered 1 through 7, and all sections are the same size.
What is the probability that the spinner lands on 4?
please help me
Answer:
B
Step-by-step explanation:
if all sides are equal and there are 7 sides than each side has and equal opportunity to be landed on.
Answer:
B
Step-by-step explanation:
I got right:)
Solve the following system by elimination. Show work and explain each step.
3x + 2y=16
2x +5y=21
The value of x and y using the elimination approach on the equations will be 3.45 and 2.81 respectively.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
Given the set of equations,
3x + 2y=16
2x +5y=21
Multiply by 2 to the first equation and by 3 to the second equation.
Fist becomes ⇒
6x + 4y = 32
Second become ⇒
6x + 15y = 63
By subtracting second - first
11y = 31
y = 2.818181...
By substitution,
6x + 4(2.81) = 32
x = 3.454545..
Hence "The value of x and y using the elimination approach on the equations will be 3.45 and 2.81 respectively".
For more about the equation,
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How much was Ray's paycheck for working 46 hours? Show your work.
Would Ray make more money working 40 hours a week for two weeks or working 32 hours one week and 46 hours but the next? Justify your solution.
Answer:
Part C Would Ray make more money working 40 hours a week for two consecutive weeks, or working 32 hours one week and then 46 hours the next?
Step-by-step explanation:
True or false:a. If the proportion of defectives in the sample is less than 12%, it is reasonable to conclude that the new process is better.b. If the proportion of defectives in the sample is only slightly less than 12%, the difference could well be due entirely to sampling variation, and it is not reasonable to conclude that the new process is better.c. If the proportion of defectives in the sample is a lot less than 12%, it is very unlikely that the difference is due entirely to sampling variation, so it is reasonable to conclude that the new process is better.
Answer:
false
Step-by-step explanation:
In a population, the percentage or fraction which is not conforming to (defeating) is defined as a ratio of the population's figures of non-conforming goods to the sum of goods in the inhabitants, and the further discussion can be defined as follows:
In option A, it is wrong because the proportion of both the sample is simply an approximation. The real percentage could be more than 12%. Furthermore, the conclusion also that the new procedure is better cannot be reasonably concluded.In options (b and c) both are correct because it is based on the explanation of whether, if the fraction of defective differences is bigger, we can only determine that its new procedure is better or not as a minor difference may occur from the variance of samples.Learn more:
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What is the greatest common factor of 24, 18, and 36?
Answer:
most likely 6
Step-by-step explanation:
because factors of 36 is 4,2,6 etc factors of 18 is 6 and 24 and it the gcf
Answer:
The greatest common factor is 6
Step-by-step explanation:
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
Debra deposits $800 into an account that pays simple interest at a rate of 5% per year. How much interest will she be paid in the first 5 years?
Answer:
200$ in first year
Step-by-step explanation:
#3 i don’t even understand what the question is asking for
What is the solution to
f(x) = g(x)?
Select each correct answer.
Answer:
f(x)=g(x) is the only answer
Step-by-step explanation:
I WILL GIVE BRAINLIEST Which of the following tables of x– and y–values represents a function? Select all that apply.
Answer:
A and C
Step-by-step explanation:
For a table of x and y variables to be a function, each x-value must not have two different y-values assigned or related to it. However, different x-values can have the same y-value.
Therefore, the table in option A and option C are functions because every of their x-value has exactly one y-value that corresponds it.
Write the equation of the line that passes through (9,3) and (7,3)
Answer:
y=3
Step-by-step explanation:
First, let's find the slope (m) of the line, which we do with the equation (y2-y1)/(x2-x1)
the given points are (9,3) and (7,3)
we can label the points:
x1=9
y1=3
x2=7
y2=3
now substitute into the equation
m=(3-3)/(7-9)
m=0/-2
m=0
the slope is 0.
Now, use slope-point form, which is y-y1=m(x-x1)
substitute using the given numbers
y-3=0(x-9)
multiply
y-3=0
add 3 to both sides
y=3
the equation is y=3
hope this helps :)
what is the probability
Answer:
2:12
Step-by-step explanation:
Plz I will give brainliest
Answer:
1/16 or 0.0625 as a decimal
(3m – 9) -- (-10m – 9)
Answer:
-13m - 18
Step-by-step explanation:
(3m - 9) -- (-10m - 9 )
Subtract the 3m to the -10m, and add the 9's together.
Answer:
the answer is 13m
Step-by-step explanation:
remove parenthesis : 3m – 9 + 10m – 9
simplify : 3m - 9 +10 +9 = 13m
any genius student ????
can anyone teach me about how to do graph of linear inequalities ....??
please give me the proper answer ;( !!!!!
Step-by-step explanation:
To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.
Find the nonpermissible replacement for sin
this expression.
-5
75
Enter the correct answer.
000
DONE
Clear all
Answer:
865g it's the right answer
What is 1/3 divided by 2 in fraction form
Answer:
1/6
Step-by-step
When 1/3 divided by 2 gives 1/6.
What is fraction?fraction, In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominator.
In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
If we divide 1/3 by 2, which is not possible
Fraction also multiplication only.
To make the division into multiplication we have to reciprocal the number on the right side of the division
So,
1/3÷2
=1/3*1/2
= 1/6
Hence, 1/3 divided by 2 in fraction form gives 1/6.
Learn more about fraction here:
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please help!!!!
the number line shows the ages of Mari and her brother Saleh.
16-10
i hope this helps.
A local water storage facility is currently empty. The city
water workers begin filling it at a rate
of 500 gallons per minute. It immediately begins
sending some of its water into the city's water
pipes at a rate of 150 gallons per minute.
a) How much-water will be in the water storage facility
in 25 minutes?
B.) write an equation to find the number of gallons,y,in the storage facility after x minutes.
Answer: See explanation
Step-by-step explanation:
a) How much-water will be in the water storage facility in 25 minutes?
Since the city water workers begin filling it at a rate of 500 gallons per minute, in 25 minutes they'll have filled:
= 500 × 25
= 12500 gallons
It immediately begins sending some of its water into the city's water pipes at a rate of 150 gallons per minutes. In 25 minutes, they'll have sent:
= 150 × 25
= 3750 gallons
Amount that'll be left in the tank will be:
= 12500 - 3750
= 8750 gallons
b. Write an equation to find the number of gallons,y,in the storage facility after x minutes. This will be:
y = (500 × x ) - (150 × x)
y = 500x - 150x
y = 350x
The heights in inches, of some small trees for sale at a garden store are 62, 62, 59, 61, 59, 70, 59, and 62. What is the median height? What is the mode? What is the mean height?
Answer:
Step-by-step explanation:
the mean height, remember is the average
62+62+59+61+59+70+59+62=494/8=61.75
median is the middle value, so we will write the numbers in order
59,59,59,61,62,62,62,70
we have an even number so we add the middle numbers and divide by 2,
the median=61+62=123/2=61.50
mode is the number that occurs most often : 62 and 59
The distance on a map between Lake Village and Bay Cove is 12 inches. If 2 inches represents 16 miles, what is the actual distance between Lake Village and Bay Cove?
Group of answer choices
a.6
b.48
c.96
d.128
it will be 48 I believe good luck
With distances in feet, use the see saw principle to find the number of feet represented by N in the balanced seesaw shown.
Answer:
The answer is 4
Step-by-step explanation:
Im sorry if im wrong im not that good at math
Find the series:0,2,6,12,20and.......?
Answer:
The series is represented by sum [tex]f(n) = 2 \cdot \Sigma\limits_{i=0}^{n} n[/tex], [tex]n \in\mathbb{N }[/tex]. The remaining element of the series is 30.
Step-by-step explanation:
This exercise consist in deriving the function which contains every element of the given series. The sum that contains all elements of the series { 0, 2, 6, 12, 20,...} is represented by the following formula:
[tex]f(n) = 2 \cdot \Sigma\limits_{i=0}^{n} n[/tex], [tex]n \in\mathbb{N }[/tex] (1)
Where [tex]n[/tex] is the cardinal associated with the element of the series.
Lastly, we proceed to evaluate the sum for the first five elements:
n = 0
[tex]f(0) = 0[/tex]
n = 1
[tex]f(1) = 0 +2[/tex]
[tex]f(1) = 2[/tex]
n = 2
[tex]f(2) = 0 + 2 + 4[/tex]
[tex]f(2) = 6[/tex]
n = 3
[tex]f(3) = 0 + 2 + 4 + 6[/tex]
[tex]f(3) = 12[/tex]
n = 4
[tex]f(4) = 0+2+4+6+8[/tex]
[tex]f(4) = 20[/tex]
The series is represented by sum [tex]f(n) = 2 \cdot \Sigma\limits_{i=0}^{n} n[/tex], [tex]n \in\mathbb{N }[/tex].
Lastly, the missing element is found by evaluating the function at [tex]n = 5[/tex], that is:
n = 5
[tex]f(5) = 0 + 2 + 4 + 6 + 8 + 10[/tex]
[tex]f(5) = 30[/tex]
The remaining element of the series is 30.
