For the given function, determine consecutive values of x between which each real zero is located. f(x)= -8x^4-3x^3-11x^2+8x+16
Answers
Answer:
Option C: there are zeros between x = 1 and x = 2, x = 0 and x = -1
Step-by-step explanation:
The function is given as;
f(x) = -8x⁴ - 3x³ - 11x² + 8x + 16
Since it's the real zero of the polynomial we are looking for, it means there is a possibility of getting an imaginary zero of the polynomial.
A zero is the value of x that will make the polynomial equal to zero.
Let's try;
x = -2;
f(-2) = -8(-2)⁴ - 3(-2)³ - 11(-2)² + 8(-2) + 16
f(-2) = -128 + 24 - 44 - 16 + 16
f(-2) = -148
Let's try x = -1;
f(-1) = -8(-1)⁴ - 3(-1)³ - 11(-1)² + 8(-1) + 16
f(-1) = -8 + 3 - 11 - 8 + 16
f(-1) = -8
Let's try x = 0;
f(0) = -8(0)⁴ - 3(0)³ - 11(0)² + 8(0) + 16
f(0) = 16
Lets try x = 1
f(1) = -8(1)⁴ - 3(1)³ - 11(1)² + 8(1) + 16
f(1) = -8 - 3 - 11 + 8 + 16
f(1) = 2
Let's try x = 2;
f(2) = -8(2)⁴ - 3(2)³ - 11(2)² + 8(2) + 16
f(2) = -128 - 24 - 44 + 16 + 16
f(2) = -164
From the values of f(x) gotten from x= -2 to x =2, we can see that the zeros will be closest to x = 0 and x = - 1 and also between x = 1 and x = 2 since that is the range that produced f(x) to be close to zero.
Related Questions
what is the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)?
a. 1/3
b. 1/2
c. 2
d. 13
Answers
Answer:
x = 2
Step-by-step explanation:
Given
2.5(6x - 4) = 10 + 4(1.5 + 0.5x) ← distribute parenthesis on both sides
15x - 10 = 10 + 6 + 2x , that is
15x - 10 = 16 + 2x ( subtract 2x from both sides )
13x - 10 = 16 ( add 10 to both sides )
13x = 26 ( divide both sides by 13 )
x = 2
Answer:
2
Step-by-step explanation:
15x-10=10+6+2x
15x-2x=10+10+6
13x=26
divide 13 both sides
x=2
solve the equation (1÷49)^x + 2 =(7)^x - 3
Answers
9514 1404 393
Answer:
x = -1/3
Step-by-step explanation:
Maybe you mean ...
(1/49)^(x +2) = 7^(x -3)
Taking logarithms base 7, we have ...
-2(x +2) = x -3
-2x -4 = x -3 . . . . . eliminate parentheses
-1 = 3x . . . . . . . . . . add 3+2x
x = -1/3 . . . . . . . . . divide by the coefficient of x
This is confirmed by a calculator in the first attachment.
_____
As written, the equation is ...
((1/49)^x) +2 = (7^x) -3
Multiplying both sides by 7^(2x) gives us ...
1 + 2·7^(2x) = 7^(3x) -3·7^(2x)
Subtracting the left side gives us the cubic equation in 7^x:
(7^x)^3 -5·(7^x)^2 -1 = 0
This has one irrational real root (found using a graphing calculator). The solution is ...
x ≈ 0.83111881051
This answer is confirmed in the second attachment. (10^-16 is essentially zero for this purpose.)
__
Additional comment
Part of the reason for going to the trouble to solve the "as written" equation is to show you that it is possible, though messy. What we'd like to emphasize here is that grouping symbols are needed when exponents contain math operations.
In typeset text, the superscript font indicates the grouping of parts of an exponent. In plain text, we cannot tell if 7^x-3 means (7^x)-3 or 7^(x-3). The Order of Operations tells us to interpret it the first way: (7^x) -3, because exponentiation is done before addition. That leads to trouble in this problem.
2) through:(-1,-1), slope = -4
Answers
Need help seriously
Answers
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Vowels: A, E, I, O, U
There are only 2 vowels out of 8 on the spinner, which means that 6 out of 8 aren't vowels.
[tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
Hope this is helpful
A = (-123) + 77 + (-257) + 23 – 43
Answers
Answer:
[tex]A=-323[/tex]
Step-by-step explanation:
A = (-123)+77+(-257)+23-43
A = -46+(-257)+23-43
A = -303+23-43
A = -280-43
A = -323
Hope this helps
find the product (9x+9)(x+2)
Answers
Answer:
9x^2 + 27x + 18
Step-by-step explanation:
(9x + 9)(x + 2)
=9x(x + 2) +9(x + 2)
=9x^2 + 18x + 9x + 18
=9x^2 + 27x + 18
PQ, QR, RS, and SP are tangent to ⨀ X. Find RS.
Answers
Answer:
Step-by-step explanation:
Express x^2 + 4x - 7 in the form (x + a)^2 - b where a and b are intergers
Answers
Answer:
[tex]x^2+4x-7=(x+4)^2-23[/tex] where [tex]a=4[/tex] and [tex]b=-23[/tex]
Step-by-step explanation:
Given: [tex]x^2+4x-7[/tex]
Complete the square: [tex](x^2+4x+16)-23[/tex]
Reduce trinomial: [tex](x+4)^2-23[/tex]
Therefore, [tex]x^2+4x-7=(x+4)^2-23[/tex] where [tex]a=4[/tex] and [tex]b=-23[/tex].
Write your answer in simplest form.
-2/3+7/9
Answers
Answer:
1/9
Step-by-step explanation:
You combine the fractions finding the least common denominator. Once you do that, you get your answer of 1/9.
I hope this information was of any use to you.
In ΔNOP, the measure of ∠P=90°, NP = 35, ON = 37, and PO = 12. What ratio represents the sine of ∠N?
Answers
Answer:
12/37
Step-by-step explanation:
SOH - CAH - TOA
O = opposite
A = adjacent
H = hypotenuse
Sin = O/H
Sin N = 12/37
Answer:Find sin N
sinN=
hypotenuse/opposite
12/37
Step-by-step explanation:
PLEASE HELP!! I’ve added an attachment. Please help me find the type of statement for this mathematical question. TYSM!!
Answers
Answer:
Step-by-step explanation:
Statements Reasons
1). AD ≅ BC 1). Given
2). ∠D ≅ ∠C 2). Given
3). ∠DEA ≅ ∠CEB 3). Vertically opposite angles
4). ΔADE ≅ Δ BCE 4). AAS postulate of congruence
5). AE ≅ BE 5). CPCTC
Hence, proved.
Find f(4) if f(x) = 3x + 13
Answers
We are given the linear function below:
[tex] \large{f(x) = 3x + 13}[/tex]
To find f(4), simply substitute x = 4 in the equation.
[tex] \large{f(4) = 3(4) + 13} \\ \large{f(4) = 12 + 13} \\ \large \boxed{f(4) = 25}[/tex]
Answer
f(4) = 25Consider the following simple regression model: y = 0 + 1 x 1 + u. In order to obtain consistent estimators of 0 and 1, when x and u are correlated, a new variable z is introduced into the model which satisfies the following two conditions: Cov( z, x) 0 and Cov ( z, u) = 0. The variable z is called a(n) _____ variable. 答案选项组 dummy instrumental lagged dependent random
Answers
Answer:
Instrumental variable
Step-by-step explanation:
cov(z,u) shows that the instrumental variable is exogenous. An instrumental variable can also be regarded as a third variable, It is included in the model if you have an issue of endogeneity in your regression model. An endogeneity problem arises if there are other variables are being influenced by other independent variable in the same regression model. we use z to account for these behaviours in the model. this variable controls for measurement errors as well as confounding errors.
Please solve the following simultaneous equations.
3 + y - 2x = 0
3x2 + 2y2 – 4xy = 9
Answers
Answer:
(3, 3) (1, -1)
Step-by-step explanation:
Answer:
(1, - 1) , (3, 3 )
Step-by-step explanation:
Given the 2 equations
3 + y - 2x = 0 → (1)
3x² + 2y² - 4xy = 9 → (2)
In (1) subtract 3 - 2x from both sides
y = 2x - 3 → (3)
Substitute y = 2x - 3 into (2)
3x² + 2(2x - 3)² - 4x(2x - 3) = 9 ← distribute and simplify left side
3x² + 2(4x² - 12x + 9) - 8x² + 12x = 9
3x² + 8x² - 24x + 18 - 8x² + 12x = 0
3x² - 12x + 18 = 9 ( subtract 9 from both sides )
3x² - 12x + 9 = 0 ( divide through by 3 )
x² - 4x + 3 = 0 ← in standard form
(x - 1)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 3 = 0 ⇒ x = 3
Substitute these values into (3) for corresponding values of y
x = 1 : y = 2(1) - 3 = 2 - 3 = - 1 ⇒ (1, - 1 )
x = 3 : y = 2(3) - 3 = 6 - 3 = 3 ⇒ (3, 3 )
which choices are equivalent to the expressions below ? Check all that apply
√5 × √5
Answers
Question 2 Multiple Choice Worth 1 points)
(01.04 LC)
Choose the missing step in the given solution to the inequality -X – 10 > 14 + 2x.
-X - 10 > 14 + 2x
-3x - 10 > 14
X<-8
Answers
Answer:
see below
Step-by-step explanation:
-X – 10 > 14 + 2x.
Subtract 2x from each side
-x-2x -10 > 14+2x-2x
-3x -10 > 14
Add 10 to each side
-3x -10+10 > 14+10
-3x > 24
Divide each side by -3, remembering to flip the inequality
-3x/-3 < 24/-3
x < -8
which linear inequality is represented by the graph
Answers
Answer:
Step-by-step explanation:
Evaluate the expression. r = <5, 9, -4>, v = <3, 3, -8>, w = <9, -6, -1> v ⋅ w (5 points)
<-15, -27, -32>
0
17
<27, -18, 8>
Answers
Answer:
s
Step-by-step explanation:
the slope of the line below is -5/7 write a point slope equation of the line using the coordinates of the labeled point (6,2)
Answers
Rachel draws a trend line through the following data
points. Did she draw the line correctly?
Answers
Answer:
i think its A but im not sure its correct
Step-by-step explanation:
Order these equations by the value of x, starting with the smallest.
7x + 21 = 5x + 35
x + 5 = 3x - 1
5x + 5 = 6x - 5
TYYY
Answers
2)first equation, x=7
4)third equation,x=10
Answer:
x + 5 = 3x -1
7x + 21 = 5x + 35
5x + 5 = 6x - 5
Step-by-step explanation:
7x+21=5x+35
-5x -5x
2x+21=35
-21 -21
2x=14
÷2 ÷2
x=7
x+5=3x-1
-x -x
5=2x-1
+1 +1
6=2x
÷2 ÷2
x=3
5x+5=6x-5
-5x -5x
5=x-5
+5 +5
x=10
Hope this helps! :)
please I need this question fast please
Answers
We have a linear function y=kx+b and we know that [tex]\displaystyle\bf \left \{ {{5*1+c=2} \atop {5p+c=-2}} \right.=>\left \{ {{c=-3} \atop {5p+c=-2}} \right. => 5p-3=-2 => p=\frac{1}{5}[/tex] [tex]\displaystyle\bf Answer: \boxed{C) \quad p=\frac{1}{5} }[/tex]
Plz help me tyvm :/
10 points
(no links)
(no wrong or guessed answers)
Answers
Answer:
2y
Step-by-step explanation:
2x-3=2y
2x-2y=3
Answer:
x = 3, y = 1.5
Step-by-step explanation:
Given the 2 equations
x + 2y = 6 → (1)
2x - 3 = 2y → (2)
In (2) subtract 2y from both sides and add 3 to both sides
2x - 2y = 3 → (3)
Adding (1) and (3) term by term will eliminate the y- term
3x = 9 ( divide both sides by 3 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
3 + 2y = 6 ( subtract 3 from both sides )
2y = 3 ( divide both sides by 2 )
y = 1.5
y-5 = -3 (x+2) in standard form
Answers
Answer:
maybe y - -3x = -11?
Step-by-step explanation:
im rushing so i may have did it wrong sorry
Anyone know the answer to this ??
Answers
Answer:
18 i think sorry if i am wrong
Step-by-step explanation:
Which is the Value if this expression when m = 3 and n = -5
Answers
P, Q & R form a right-angled triangle.
R, S & P lie on a straight line.
PS = SQ and ∠SQR = 36°.
Work out
∠RPQ
Answers
Answer:
∠RPQ = 27
Step-by-step explanation:
In ΔSRQ,
∠R = 90
∠SQR = 36°
∠R + ∠SQR + ∠RSQ = 180 {Angle sum property of triangle}
90 + 36 + ∠RSQ = 180
126 + ∠RSQ = 180
∠RSQ = 180 - 126
∠RSQ = 54°
∠PSQ +∠RSQ = 180 {Linear pair}
∠PSQ + 54 = 180
∠PSQ = 180 - 54
∠PSQ = 126
In ΔPSQ,
SQ = PS ,
So, ∠SQP = ∠SPQ {Angles opposite to equal sides are equal}
∠SQP = ∠SPQ =x
∠PSQ + x +x = 180 {Angle sum property of triangle}
126 + 2x = 180
2x = 180 - 126
2x = 54
x = 54/2
x = 27
∠RPQ = 27°
Which of the following statements is false? PLEASE HELP ASAP!
Answers
Answer:
C
Step-by-step explanation:
find the subsets of ( S,Q,L,R)
Answers
Answer:
{}, {s} {q} {l} {r} {s,q} {s, l} {s, r} {q, l} {q, r} {l, r} {s, q, l} {s,l,r} {s, q, r} {q, l, r} {s, q, l, r}
Billy looks through holiday brochure in Spain, Greece,Italy and UK.
1/3 in Spain, 1/6 in Greece,1/8in Italy the remainder in uk
Answers
Answer:
Assuming you want to know there was for UK it was [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
Let's add the fractions together
[tex]\frac{1}{3} +\frac{1}{6}+\frac{1}{8\\}\\\frac{8}{24} +\frac{4}{24} +\frac{3}{24} =\frac{15}{24}[/tex]
The remainder is the amount in UK so
[tex]\frac{24}{24} -\frac{15}{24} =\frac{9}{24} \\[/tex]
Simplified it's [tex]\frac{3}{8}[/tex]