Answer:
P(x) = -0.69x³ + 2.76x² - 11.04x + 44.16Step-by-step explanation:
Let P(x) is the function with zero's 2 and 4i.
It has to have one more zero since it is of degree 3. This is a conjugate of 4i and is -4i.
The function has the shape of:
P(x) = a(x - 2)(x - 4i)(x + 4i)And we have P(0) = 22.08
Let's substitute and find the value of a:
22.08 = a(0 - 2)(0 - 4i)(0 + 4i)22.08 = a(-2)(-4i)(4i)22.08 = a(-2)(-16i²)22.08 = a(-32)a = - 22.08/32a = - 0.69The function is now:
P(x) = -0.69(x - 2)(x - 4i)(x + 4i)
= -0.69(x - 4)(x² + 16)
= -0.69(x³ - 4x² + 16x - 64)
= -0.69x³ + 2.76x² - 11.04x + 44.16
Help! What can we do to kill off the zombies?? The scientists realize that salt kills the zombies, if enough is poured on them (one full can). The reaction between the salt and zombie blood causes the zombie to disintegrate. Morton's salt has a plant in Tooele county just west of Grantsville, and can distribute cans of salt to people residing in Utah. If Morton's salt can distribute 300,000 cans of salt each day, write an equation to model the number of cans of salt distributed after n days.
Question 4 options:
f(n)=300,000n
f(n)=300,000+n
f(n)=300,000n
f(n)=300,000n/n
Answer:
I think its f(n)=300,000n
Step-by-step explanation:
Answer:
f(n)=300,000n
Step-by-step explanation:
10.
Find the measure of angle 1.
8x - 4
16x + 8
Answer:
53°
Step-by-step explanation:
As we can see that ∠3 and ∠7 are corresponding angles. Therefore,
∠3 = ∠76x+8 = 8x-76x-8x = -7-8-2x = -15x = -15/-2x = 15/2Now calculate the angles of ∠3 and ∠7.
∠36x+86×15/2+845+853°∠78x-78×15/2-760-753°Now we can see that ∠3 and ∠1 are alternate angles and ∠7 and ∠1 are alternate exterior angles. Thus, we can say that
∠3 = ∠7 = ∠1 = 53°Hence the measure of ∠1 is 53°.
♦♦♦♦♦Hope it helps♦♦♦♦♦
Helppp I will give u 100 if you give me a good answer
Answer: it allows you to see both sets of data more clearly and compare them rather than having them on two different charts.
Step-by-step explanation:
Graph the inequality. x < 2
Step-by-step explanation:
there u have it, since y is 0, we make a straight line that passes through 2 and shade the numbers that are <2
PLEASE help!! I’ll give brainliest!!
The graph shows the number of gallons in a pool being drained and
represents a linear function.
Which statement about this function is correct?
A. The y-intercept is (0, 8500), and the 8500 represents the number
of gallons before draining the pool.
B. The y-intercept is (0, 8500), and the 8500 represents the number of
gallons drained per hour.
C. The y-intercept is (8500, 0) and represents the number of hours it
takes to drain the pool.
D. The y-intercept is (8500,0) and represents the number of gallons
drained per hour.
Answer:A. The y-intercept is (0, 8500), and the 8500 represents the number
of gallons before draining the pool.
Step-by-step explanation:
The y-intercept is (8500,0) and -540 represents the number of gallons drained per hour. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The graph shows the number of gallons in a pool being drained and represents a linear function.
Let 'x' be the number of hours and 'y' be the volume. And the points are (4, 6340) and (6, 5260). Then the equation of the line is given as,
(y - 6340) = [(6340 - 5260) / (4 - 6)] (x - 4)
y - 6340 = - 540x + 2160
y = - 540x + 8500
The y-intercept is (8500,0) and -540 represents the number of gallons drained per hour. Then the correct option is D.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Expand each expression and simplify your answers as far as possible
1. 8x - 2(3 - 2x)
2. 4x + 5-3(2x - 4)
Answer:
1. 12x - 6
2. -2x + 17
Step-by-step explanation:
1.
8x - 2(3 - 2x)8x - (-2)(3) + (-2)(-2x) 8x + (-6) + 4x(8x + 4x) + (-6)12x - 62.
4x + 5 + (-3)(2x) + (-3)(-4) 4x + 5 - 6x + 12(4x - 6x) + (5 + 12)-2x + 17Answer:
[tex]\boxed{\sf 12x-6}[/tex]
[tex]\boxed{\sf -2x+17}[/tex]
Step-by-step explanation:
[tex]\sf 1)\: 8x - 2(3 - 2x)[/tex]
Apply Distributive Property to multiply -2 by (3-2x):
→ [tex]\sf 8x-6+4x[/tex]
Combine like terms:
→ [tex]\sf (8x+4x)[/tex]
[tex]\sf 12x[/tex][tex]\boxed{\sf 12x-6}[/tex]
______________________________
[tex]\sf 2)\: 4x + 5-3(2x - 4)[/tex]
Apply Distributive property:
Multiply -3 by (2x-4):
[tex]\sf 4x+5-6x+12[/tex]
Combine like terms:
→[tex]\sf (4x+(-6x))[/tex]
[tex]\sf -2x[/tex]→ [tex]\sf (5+12)[/tex]
[tex]\sf 17[/tex][tex]\boxed{\sf -2x+17}[/tex]
_____________________________
is 24:4 equivalent to 6:1
What is -(x + 4) - 3x = x in Distributive property?
Answer:
x = -4/5
Step-by-step explanation:
Original equation: -(x+4)-3x=x
Remember distributive property allows us to get rid of the parenthesis by bringing a multiplication from outside to inside a parenthesis.
-(x+4) = -x-4
= -x-4-3x=x
Now we combine like terms in this case we have (-x) and (-3x)
= -4x-4=x
Subtract x from both sides
= -4x-4=x
-x -x
----------------
-5x-4=0
Add 4 to both sides
-5x-4=0
+4 +4
---------------
-5x=4
Our final step is to divide both sides by -5
-5x=4
---- ----
-5 -5
x = -4/5
Hope this helps!!!
In the inequality 4>-4, which number appears farther right on a number
line and why?
O A. -4 appears farther right because -4 is smaller than 4.
O B. -4 appears farther right because - 4 is larger than 4.
C. 4 appears farther right because 4 is larger than -4.
D. 4 appears farther right because 4 is smaller than -4.
PLEASE HELP ASAP!! THIS IS ONE OF MY FINAL TEST… AKA- ITS MOST OF MY GRADE
Answer:
"C" 4 appears farther right because 4 is larger than -4.
Can someone answer this for me
sas, sss, aas, or not enough information
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The two corresponding angles of the Triangles are equal and the the side between them is common between them (so equal).
So, the stated triangles are congruent by :
ASA criterion.help please !! geometry
HELP PLEASE SHOW ME HOW TO DO THIS
Answer:
Step-by-step explanation:
Salary increase in 2 years = Salary in fifth year - salary in 3rd year
= 87,023 - 43,250
= $ 43,773
Salary increase per year= 43773/2 = $ 21,886.50
PLSSS HLEPP ME OUTT ITS URGENTTTT
Answer:
Step-by-step explanation:
(1860-11)=1849
√(1849) = 43
(A quick trial)
this week sage spent $30 for hot dogs and supplies. he earned $18. Did he make money or lose money this
Answer:
He lost $12.
Step-by-step explanation:
Money Earned=$18
Money Spent=$30
Here, Money Spent is larger than Money Earned, which means that he lost money.
$30-$18
$12
He lost $12.
Answer:
he made money and lose money this week
Step-by-step explanation:
HOpe this helps
pls correct answer for brainliest answer
Step-by-step explanation:
let tye number Ahmed thinks be x.
so, a/q
the equation is,
→ 2x/5 = 4
→ 2x = 4×5 = 20
→ x = 20/2
→ x = 10
therefore, he thinks the number 10.
hope this answer helps you dear!
Answer:
10
Step-by-step explanation:
I'm doing it from the end.
if the answer is 4, you have to multiple it by 5 and then divide it by 2
4 x 5 ÷ 2 = 10
10 multiple by 2 is 20 and 20 divided by 5 is 4 so
10 is correct answer
[tex]a\sqrt{a} +2a + \sqrt{a} +2\\[/tex]
Step-by-step explanation:
= [tex](a\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]
= [tex]a(\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]
= [tex](a+1)(\sqrt{a} +2)[/tex]
please give me a brainliest answer
find f'(x)of f(x)=x^2-6x
Answer:
[tex]f(x) = {x}^{2} - 6x \\ {f}^{'} (x) = 2x - 6 \\{f}^{'} (x) = 2(x - 3)[/tex]
Dont leave any links please
Answer:
m^2/n
Step-by-step explanation:
The following laws of exponent are useful to this problem:
[tex] \displaystyle \large{ {(mn)}^{b} = {m}^{b} {n}^{b} } \\ \displaystyle \large{ {n}^{ - b} = \frac{1}{ {n}^{b} } }[/tex]
We are given the expression:
[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } }[/tex]
Use the first law of exponent above.
[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{(8)( \frac{1}{4}) } {n}^{ ( - 4)( \frac{1}{4}) } } \\ \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } {n}^{ - 1} }[/tex]
Make sure to recall the important necesscary fundamental math such as operation with negative numbers/integers, basic division, fraction, etc.
From the expression, apply the second law of exponent to n^-1.
[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } ( \frac{1}{ {n}^{1} } )} \\ \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } ( \frac{1}{ {n} } )} \\ [/tex]
Multiply m in.
[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = \frac{ {m}^{2} }{ {n} } }[/tex]
Thus the answer is m^2/n.
PLEASE HELP ILL MARK BRAILIEST!!!!!
Answer:
(-6,2)
Step-by-step explanation:
Answer:
y=4/5x-17/5
Step-by-step explanation:
Hope this helps!
The second picture is the same as the picture you have thus the equation is correct
the length and breadth of a piece of land are 20meters and 15 meters respectively. What is the perimeter of this land?
Answer:
20x15=300
When you need to calculate the Length and Width of a piece of land or anything else, all you need to do is multiply the two numbers.
Step-by-step explanation:
When you have 20 units of land in as the length and 15 units of land as width, then you should multiply.
2x4=?
When you do 2x4, you have to do 2+2+2+2=
but, here, you have a piece of land to calculate, so basically, you have to multiply still. In that way, you will be able to get what 20 and 15's product is.
I'm sorry, sometimes I just can't explain that well, but just remember, in these types of problems, just multiply, that is your answer.
Thank You! I hope I made your day just a little better!
Have a great time studying!
What do I put in the blank box? Could you also add step by step explanation? If you cant its fine :)
Answer:
its 34/5
Step-by-step explanation:
change that mixed fraction by simply multiplying 6×5 then add 4 you'll get 34 then place it over the denominator 5 =34/5........ hope it helps
Please solve no.a) from here for me
Answer:
x < 1 and x > -2
Step-by-step explanation:
5x - 1 < 4 and 3x + 5 > x + 1
Step 1.) Transfer the -1 over by the 4 by adding it because you use the opposite symple when its transfered.
5x < 5 and 3x + 5 > x + 1
Step 2.) Divide 5 by 5 to get the variable alone
x < 1 and 3x + 5 > x + 1
Step 3.) Subtract x from 3x which gives 2x and subtract 5 from 1 which gives -4
x < 1 and 2x > -4
Srep 5.) Divide -4 by 2 to get the variable alone and you get -2
x < 1 and x > -2
The difference of half
of a number and three
is equivalent to
negative
five.
3/2=3-5
Step-by-step explanation:
jdjdnsnsnsmanzna
A dump truck can hold 2¼ tons of gravel. The pay loader loading the truck puts 750 pounds of gravel in the truck at one time. How many loads does the pay loader need to dump in the truck before it is full?
Answer:
6 loads would be required to fill the truck with 2¼ tons
Step-by-step explanation:
1 ton= 2000 pounds
2¼ tons= 4500 pounds
4500/750=6
Please allow me to know this helped by clicking thank you, rating or brainly.
Thank you,
Miss Hawaii
Answer:
6 loads
Step-by-step explanation:
i am confused and this is my last test on my khan academy due list
Answer:
[tex]3^{3}[/tex]= 3*3*3 or 27
[tex]4^{3}[/tex]= 4*4*4 or 64
[tex]3^{4}[/tex]= 3*3*3*3 or 81
Step-by-step explanation:
Hope this helps! :)
Answer:
[tex]X^{3}[/tex] = [tex]3^{3}[/tex] = 3*3*3 = 27 ( Because X is equal to 3 )
[tex]4^{X}[/tex] = [tex]4^{3[/tex] = 4*4*4 = 64
[tex]X^{4}[/tex] = [tex]3^{4}[/tex] = 3*3*3*3 = 81
Step-by-step explanation:
Hope this helps!
somebody please just answer.......................
Answer:180 is what it need to be
Step-by-step explanation:
In the algebraic expression 5x + 8y – 12z, the values 5, 8, and –12 are _____
Answer:
Coefficients!!!
Step-by-step explanation:
They're numbers that are multiplied by a variable.
Answer:
Step-by-step explanation:
I believe the answer would be coefficients. Coefficients are the number that is being multiplied by the variable.
the heights in cm of some pupils are 138 119 182 174 142 117 152 152
mean; 147
median; 147
mode; 152
a
Convert 0.58 into
percentage
Answer:
58%
Step-by-step explanation: