Answer: -5
Step-by-step explanation:
The value of negative zero in g(x) = 3x² + 14x - 5 is 1.
What is Descarte's rule of signs in a polynomial?Descarte's rule for no. of at most positive real roots in a polynomial is the no. of sign changes in the polynomial.
Descarte's rule for no. of at most negative real roots in a polynomial f(x) is the number of sign changes in f(-x).
All the other left over roots are imaginary and come in conjugate pairs.
The number of negative of f is equal to the number of sign changes of successive terms of f(-x).
Given, g(x) = 3x² + 14x - 5.
Now, g(-x) = 3(-x)² + 14(-x) - 5.
g(-x) = 3x² - 14x - 5.
The signs are +, -, - so only one sign changes.
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3-108. Write an equation and find the answer for each of the following problems. Give answers in decimal form. Homework Help a. What is the product of three tenths and four hundredths?
Select the correct answer.
Consider this equation.
cos(8) = -
If 8 is an angle in quadrant II, what is the value of tanê)?
ОА.
15
8
ов. 15
ос. -
✓15
8
OD. 15
Using trigonometric identities, it is found that the value of the tangent of the angle is given by:
B. [tex]-\frac{\sqrt{15}}{7}[/tex]
What is the tangent of an angle?The tangent of an angle is given by it's sine divided by it's cosine, that is:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
In this problem, we have that:
[tex]\cos{\theta} = -\frac{7}{8}[/tex]
The following identity is applied:
[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]
Then:
[tex]\sin^2{\theta} + \left(-\frac{7}{8}\right)^2 = 1[/tex]
[tex]\sin^2{\theta} + \frac{49}{64} = 1[/tex]
[tex]\sin^2{\theta} = \frac{15}{64}[/tex]
[tex]\sin{\theta} = \pm \frac{\sqrt{15}}{8}[/tex]
Since it is on the second quadrant, it is positive, hence:
[tex]\sin{\theta} = \frac{\sqrt{15}}{8}[/tex]
Applying the tangent equation:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
[tex]\tan{\theta} = \frac{\frac{\sqrt{15}}{8}}{-\frac{7}{8}}[/tex]
[tex]\tan{\theta} = -\frac{\sqrt{15}}{7}[/tex]
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HELP HELP HELP HELP, PLEASE QUICKLY
Step-by-step explanation:
so easy hahahahahah you are just a beginner
Your new car cost $32,000 but it depreciates in value by about 25% each year. Write an equation that would indicate the value of the car at x years.
A. y = 32000(.25)×
B. y = 32000(1.25)×
C. y = 32000(.75)×
Answer:
C, after 1 year, it has 75 percent of its original value
Step-by-step explanation:
1-point free throw 2-point field goal he made 35 shots he scored 62 points how many of each shot does he make in 1 minute write the two equations for the problem
Answer:
x + y = 35 equation 1
x + 2y = 62 equation 2
He made 8 1 point free throw
He made 27 2 point field goal
Step-by-step explanation:
let x = 1 point free throw
y = 2 point field goal
two equations can be derived from the question
x + y = 35 equation 1
x + 2y = 62 equation 2
Subtract equation 1 from 2
y = 27
Substitute for x in equation 1
x = 35 - 27 = 8
He made 8 1 point free throw
He made 27 2 point field goal
Teresa received $80 for her birthday. At what rate would she have to invest to have $90 at the end of the year
Write an equation (any form) for the quadratic graphed below. Y=
Answer:
y = -2x^2 - 4x - 1
Step-by-step explanation:
We can see that the graph passes through (-2, -1), (-1, 1) and (0, -1).
Let's solve
ax^2 + bx + c = y
a(-2)^2 + b(-2) + c = -1
4a - 2b + c = -1
a(-1)^2 + b(-1) + c = 1
a - b + c = 1
a0^2 + b0 + c = -1
c = -1
we got c = -1 so we input it into the other 2
4a - 2b - 1 = -1
4a - 2b = 0
2a - b = 0
2a = b
a - b - 1 = 1
a - b = 2
a = b + 2
Let's input b = 2a
a = 2a + 2
-a = 2
a = -2
b = 2a = 2*(-2) = -4
c = -1
y = -2x^2 - 4x - 1
20 points for correct answer
Answer:
0.167 is rational
2/6 is rational and the other two is irrational
:)
Step-by-step explanation:
What is a correct name for the angle shown? R S T O LE O ZS O LEITE O LEFT
Answer:
RTS.
Step-by-step explanation:
This is an obtuse angle.
someone help me, will be giving brainliest, thanks. this is due today. just one question.
Answer:
8,-6
Step-by-step explanation:
x^2 -6x +8 = 0
(x-4)(x-2)
A) are un număr de 6 vârfuri, 9 muchii, 5 feţe. b) bazele prismei sunt ......................................................................... c) muchiile laterale sunt .......................................... Pe planele bazelor. 2) Pentru o prismă triunghiulară regulată cu latura bazei de 6 cm şi înălţimea de 43cm: a) suma lungimilor tuturor muchiilor este de .................. Cm; b) aria bazei este de ......... Cm2; c) aria laterală este de ......... Cm2; d) aria totală este de ......... Cm2; e) volumul este de ......... Cm3.
Answer:
A
Step-by-step explanation:
What is the length of the arc by a central angle of 85 degrees and a radius of 8cm to the nearest tenth of a cm?
9514 1404 393
Answer:
11.9 cm
Step-by-step explanation:
Arc length is given by ...
s = rθ . . . . . . θ is the central angle in radians
Your central angle is 85°, so is (85/180)π radians = 17/36π radians.
Then the arc length is ...
s = (8 cm)(17/36π) ≈ 11.9 cm
The length of the 85° arc is about 11.9 cm.
a cylinder with radius 6 units as shown has a volume of 72 cubic units. What is the height of the cylinder?
•2/pie units
•6/pie units
•2pie units
•6pie units
?
Please answer. I’ll mark brainlist
Answer:
319in
Step-by-step explanation:
cut them by sections
3×14=42 is the top of the shape
then the middle rectangle, add 24 with 5, it's 29
8×29=232
then the last one which is the bottom right rectangle
9×5=45
after add 42+232+45 and that's your answer
The area of the Composite figure is 319 sq units.
What is Composite figure?A two-dimensional figure made up of basic two-dimensional shapes such as triangles, rectangles, circles, semicircles, etc
Given that a Composite figure with sides measurements
We will calculate the area by diving the figure in three rectangles
Area of a rectangle = length * width
Therefore, 9*5 + 8*29 + 3*14 = 45 + 232 + 42 = 319 sq units
Hence, The area of the Composite figure is 319 sq units.
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the area is approximately ___ square ft.
use 3.14 for pi
Answer:
200.96
Step-by-step explanation:
divide the diameter by 2, to get 8. then multiply 8 by 8 to get 64. 64×3.14 is 200.96
helo me please please
i) Area = length x width
=250 x 100
= 25000 cm2
ii) it is a square so the sides are equal
Area = 10 x 10
= 100cm2
iii) 25000/100
250 tiles will be needed
Iv) one tile is 4.75 dollars
Total tiles are 250
Cost for tiling
=250 x 4.75
=1187.5
Hope this helps
Cups by the water cooler are in the shape of a cone. The height is 15 cm and the diameter is 7.6 cm.
What is the volume of one water cooler cup, in cubic centimeters? (Use 3.14 for
π.)
Answer:
226.7 cm³
Step-by-step explanation:
The cone volume formula is V = (1/3)(base area)(height).
Here that comes out to V = (1/3)(pi)(3.8 cm)^2·15 cm, or 226.7 cm³
HELP I MARK BRAIN thing
Answer:
It would be A. x < 6
Step-by-step explanation:
The number line shows it is less than six with a closed circle and the arrow pointing towards the left of it
A pioneer family travels for 30 hours at maximum speed in a covered wagon. Their neighbor walks 20 hours at a pace of 3 miles per hour. Which group traveled the greater distance?
Write 3.1415×106 in standard notation
Answer:
332.999
Step-by-step explanation:
juice wrld
4. MN has an equation of 2x - y = 3. Which of the following is the equation of a line
perpendicular to MN and passes through the point (4,3)?
A.
1
y = --X-5
2
C, y = -x-
2
B.
y = -2x-5
D. y = -x + 5
2
-3×4y = (4+5y)-72 answer fast with steps plz
Answer:
-12y=5y-68 true for all X
Step-by-step explanation:
-3x4y=(4+5y)-72
simplify:
-3x4y=12y
simplify:
(4+5y)-72
remove parentheses:
4+5y-72
subtract the numbers:
4-72= -68
=5y-68
-12y=5y-68
Answer:
the answer would be 4
Step-by-step explanation:
−3(4y)=4+5y−72
−12y=4+5y+−72
−12y=(5y)+(4+−72)(Combine Like Terms)
−12y=5y+−68
−12y=5y−68
Step 2: Subtract 5y from both sides.
−12y−5y = 5y−68−5y
−17y= −68
Step 3: Divide both sides by -17.
−17y -68
------------ = -----------
-17 -17
y = 4
A population of 6000 bacteria is growing at a rate of 6% each day. Write 2 an equation that expresses the number of bacteria at time x.
A. y = 6000(.06)×
B. y = 6000(1.06)×
C. y = 6000(.94)×
Answer: B. y = 6000(1.06)×
Step-by-step explanation: If it is growing at six percent (0.06) each day then you must also account for the amount that is already there (1).
The school buses at a middle school each hold 38 students. The school has, b, buses.
Write an equation that shows the total number of students, s, that can be carried by all of its buses.
Answer:
38b = s
Step-by-step explanation:
38 students multiplied by the number of buses = the total number of students that can be carried by bus.
Please lmk if you have questions
SOMEBODY HELP ME PLEASE
Answer:
90
Step-by-step explanation:
9*6=54
54*5= 270
270/3=90
Proving That All Circles Are Similar give: cicrcle x with radius r and circile y with radius s prove: circle x is similar to circle y
Answer:
Two shapes are similar when they have the same shape while their sizes may be the same or different
Therefore, two similar shapes are shapes that have a relationship such that the dimensions of one of the shapes can be obtained from the dimensions of the other shape by multiplying by a scale factor
All circles have the same shape and are defined by their center and radius
Given circle with center at 'x' and radius 'r' and circle with center 'y' and radius 's', then there exist a scale factor a = s/r such that we have;
r × a = s
Where a = s/r, we get;
r × s/r = s
We can therefore, obtain a circle with with the same size as the circle with center 'y' and radius 's' by multiplying the radius of the circle with center at 'x' and radius 'r' by a
Therefore the circle with center at 'x' and radius 'r' is similar to the circle with center 'y' and radius 's'
Step-by-step explanation:
Just did it! <3
Hope this helps!
A car uses 1 liter of gas every 12 kilometers. How many meters can the car travel on 3 liters of gas? 36 meters 3,600 meters 360 meters 36,000 meters
Answer:
36,000 meters. 12km= 12,000m multiply by 3l of gas.
Step-by-step explanation:
The car will travel 36000 meters using 3 liters of gas as per linear equation.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, 'A' is a coefficient and 'B' is constant".
Given, a car uses 1 liter of gas every 12 kilometers.
Therefore, using 3 liters of gas, the car will go
= 3 × 36 kilometers
= 36 kilometers
= 36000 meters
With 3 liters of gas, the car will travel 36000 meters.
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Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -2,- 2+i.
Answer:
f(x) = x^3 + 2x^2 + x + 2
Step-by-step explanation:
If -2 + i is a zero, then -2 - i must also be a zero.
These zeros are -2, -2 + i and -2 - i, and the corresponding factors of the polynomail f(x) are (x + 2), (x + 2 - i) and (x + 2 + i).
(x + 2 - i) and (x + 2 + i) multiplied together becomes x^2 + 1.
Multiplying this result by the 3rd and last factor, (x + 2), we get
(x^2 + 1)(x + 2) = x^3 + 2x^2 + x + 2
Check, using synthetic division. What are the factors of x^3 + 2x^2 + x + 2?
-2 / 1 2 1 2
-2 -2 -2
-----------------------
1 0 -1 0 Since the remainder is zero, we know that
(x + 2) is a factor and -2 is a root.
A dog walking company charges $90 to walk 6 dogs. They charge the same amount of money to walk each dog. Which table represents the relationship between the number of dogs the company walks and the amount of money they charge?
Answer:
15
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
i did k12
Based on the data given in the table,
which is a reasonable estimate of
the download time of a 600-kilobyte
A 10 seconds
B 12 seconds
C 15 seconds
D 17 seconds
Answer:
C. 15 seconds
Step-by-step explanation:
It wouldn't be A, because 10 seconds can download 348 kilobytes, it wouldn't be B too as it would be at about 400+ kilobytes, the only possible answer is 15 seconds as the last option takes 17 seconds for 715 kilobytes.