If f(x) = x3 – 1, what is the ordered pair for x = -2.?
Answer:
(-2, -9)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x³ - 1
x = -2
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-2) = (-2)³ - 1Exponents: f(-2) = -8 - 1Subtract: f(-2) = -9Rewrite: (-2, -9)Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the estimated value of each expression with its position on the number line. + A B C D E ++ + 1 2 3 4 5 6 7 -2 -1 0 A B С D E V90-V40 V35 - 42 V5 – V6 2127-148 V54 - V24 18 – V8
Answer:
1. D
2.C
3. E
4.A
Step-by-step explanation:
the guy above or below me is incorrect.
Find the solutions to x2 = 28.
A. x = 14,2
O B. x = +2./14
O C. X = +2,7
O D. x = -7/2
Answer: [tex]x = \pm2\sqrt{7}\\\\[/tex]
Work Shown:
[tex]x^2 = 28\\\\x = \pm\sqrt{28}\\\\x = \pm\sqrt{4*7}\\\\x = \pm\sqrt{4}*\sqrt{7}\\\\x = \pm2\sqrt{7}\\\\[/tex]
This can be rewritten into [tex]x = 2\sqrt{7} \ \text{ or } \ x = -2\sqrt{7}[/tex]
Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!
Answer:
(a) no solution
Step-by-step explanation:
Writing the second equation in slope-intercept form, it becomes ...
3x -y = 2 . . . . given
y = 3x -2 . . . . add y-2 to both sides
The first equation is already in slope-intercept form:
y = 3x +3 . . . . first equation
The coefficients of x in the two equations are both 3, so the lines they describe are parallel. They do not intersect, so there is no solution.
please find y and round to the nearest tenth
hello, help needed. show work please. 55 points!! due today.
Answer:
see below
Step-by-step explanation:
x+5
y = ----------------------
x^2 - 2x+1
Since the degree of numerator < degree of denominator ( 1 < 2) there is a horizontal asymptote: y = 0
help me plzzzzzz tyyyyyyyyyy
Answer:
your answer is B.
Step-by-step explanation:
mode is 76, mean is 79, the median is 76.
Can anybody help me? Thank you for your answers
Answer:
x = 2y
Step-by-step explanation:
we don't need to do complicated trigonometric conversions. just try to express x by a term of y (or vice versa) and look.
so, starting with x = 2y.
if that is the case, then what is our equation looking like ? is it true ?
sin(2y - y)/sin(y) + cos(y - 2y)/cos(y) = 2
sin(y)/sin(y) + cos(-y)/cos(y) = 2
1 + cos(-y)/cos(y) = 2
cos(-y)/cos(y) = 1
cos(-y) = cos(y)
and yes, this is indeed true for all y. cos decreases from 1 to -1 with the increase of the absolute value of the angle from 0 to 180 degrees (meaning we could go up or down the same angle from 0, and cos would be the same), and then increases again to +1 for the increase of the absolute value of the angle from 180 to 360 degrees. and then it all starts again. and again, and again, ...
so, since the original equation is true under the assumption x=2y, this must be the correct option.
(6 1/4)^4
Answer fast or i will report you
Answer:6
Step-by-step explanation: The rules of exponential says (a^x)^y=a^xy.
Therefore you will multiply 1/4 with 4 to get an exponent of 1. So the answer is 6^1 which is also written as 6
what is the simplified form of this expression 3x+4+5x+3
1. 7x+8
2. 15x
3. 8x+7
Step-by-step explanation:
3x+5x+4+3
=8x+7
hope it helps
Answer:
6x+7
Step-by-step explanation:
x+4+5x+3
Combine like terms
x+5x +4+4
6x+7
A bag contains 4 purple beads and 3 green beads. A bead is drawn and then replaced before drawing the second bead. Find the probability both beads drawn are green.
A) 16/49
B) 6/7
C) 6/49
D) 9/49
Answer:
9/49
Step-by-step explanation:
4 purple beads and 3 green beads= 7 beads
P( green) = green = total = 3/7
Replace the bead
4 purple beads and 3 green beads= 7 beads
P( green) = green = total = 3/7
P( green , replace, green) = 3/7 * 3/7 = 9/49
Cho a + b + c = 0 và a^2 + b^2 + c^2 = 1. Tính giá trị của M = a^4 + b^4 + c^4
Step-by-step explanation:
hello you then good mujhe samajh mein nahin a rahi hai sorry
what is 5 divided by 20.9
Answer:
0.23923444976
Decide!!!!!!!!!!!!!!!!
Answer:
6 + 5 = 11Step-by-step explanation:
6 + 2 = 4, given
2 → 5, move two matchsticks, #10 and #124 → 11, move one matchstick, #186 + 5 = 11, correct
Answer quick tyyyyyyyyyyyyyy
Answer:
5
Step-by-step explanation:
(x+5)(x-3)=20
x=5
please solve this right away!
Answer:
1.432
2. 8978
Step-by-step explanation:
if wu feed cat 1 time and got $5 so how much wu will earn over the winter if he feed the cat 13 times
Answer:
65
Step-by-step explanation:
1=5
13=x
1x=5x13
1x=65
divide both sides by 1
x=65
Which of the following cannot be written as a ratio of integers with a nonzero denominator
Answers:
A.a whole number
B.an integer
C.none of these
D.a rational number
Answer:
D
Step-by-step explanation:
I really think the answer is D
QUICK WHATS THIS ANSWER?!?
Answer:
C. [tex]-x-6>-3.5[/tex]
Step-by-step explanation:
One is asked to find which inequality has ([tex]x=-3[/tex]) in its solution set. Remember that an inequality is another way to represent a set of solutions. In essence, it states that all numbers less than; less than or equal to; greater than; or greater than or equal to, are a part of the solution. One simplifies an inequality in a similar manner to how one simplifies an equation, by using inverse operations and simplification. Just note that when multiplying or dividing the inequality by a negative number, one has to flip the inequality sign to ensure the expression remains true.
Simplify each of the inequalities, then evaluate to see which one has ([tex]x=-3[/tex]) as a part of its solution set.
A. [tex]-x -6<-3.5[/tex]
[tex]-x<2.5[/tex]
[tex]x>-2.5[/tex]
B. [tex]-x-6>3.5[/tex]
[tex]-x>9.5[/tex]
[tex]x<-9.5[/tex]
C. [tex]-x-6>-3.5[/tex]
[tex]-x>2.5[/tex]
[tex]x<-2.5[/tex]
D. [tex]x-6>-3.5[/tex]
[tex]x>2.5[/tex]
As can be seen, option (C [tex]-x-6>-3.5[/tex]) is the only one that fits this requirement. Since option (C) simplifies down to ([tex]x<-2.5[/tex]) or in words, (x) is less than (-2.5). This option is the only one that fits the solution since (-3) is less than (-2.5).
What is the perimeter, rounded to the nearest tenth?
The area of the regular hexagon is 169.74 ft2.
A regular hexagon has an apothem with length 7 feet and an area of 169.74 feet squared.
What is the perimeter, rounded to the nearest tenth?
24.2 ft
28.3 ft
48.5 ft
56.8 ft
Answer:
48.5 ft
Step-by-step explanation:
rule. L1
b)
I
R = (24, 28)
S = (4, 20)
Q = (28, 12)
P = 8,4)
R' = (36, 4)
S = (16,-4)
*Q' = (40, -12)
P' = (20, -20)
Determine the transformation rule for the translation
from PQRS to P'QʻR'S'
Answer:
(x+12, y-24)
Step-by-step explanation:
The rule is (x, y) -> (x+12, y-24)
An airplane is descending as it approaches the airport. If the angle of depression from the plane to the ground is 7 degrees and the plane is 2,000 feet above the ground, what is the distance from the plane to the airport?
Answer:
The distance from the plane to the airport is around 245.57 feet.
Step-by-step explanation:
Angle of depression = 7 degrees
Height (Vertical portion of a right-angle triangle) = 2,000 feet
We are looking for the base of the right-angle triangle, which represents the distance from the plane to the airport. Therefore, we must use SOH or CAH or TOA to help us determine the length of the base. In this case, it is most convenient to use TOA:
tanΘ=[tex]\frac{Opposite}{Adjacent}[/tex]
Rearrange the equation to solve for 'Opposite':
Opposite=(tanΘ)(Adjacent)
Opposite=(tan[7])(2,000)
Opposite=0.12278456*2,000
Opposite=245.5691218 feet
Thus, the distance from the plane to the airport is around 245.57 feet.
please help. people take my points without answering. 15 points left, please show work. and please dont just take my points
Answer:
Step-by-step explanation:
Reference angle in quadrant I,
θ' = θ
Reference angle in quadrant II,
θ' = 180° - θ
Reference angle in quadrant III,
θ' = θ - 180°
Reference angle in quadrant IV,
θ' = 360° - θ
13). θ = 315°
Since, the given angle is in the 4th quadrant,
Reference angle θ' = 360° - 315°
= 45°
14). θ' = (620° - 540°)
= 80°
Reference angle = 80°
15). θ' = 630° - θ
= 630° - 580°
= 50°
Reference angle = 50°
In circle C, SQ = 10 cm.
Circle C is shown. Chords S Q and R P intersect at point C. Angle P C Q is 30 degrees.
Which statements about the circle are correct? Check all that apply.
Arc PQ is congruent to arc SR.
The measure of arc QR is 150°.
The circumference of circle C is 20π cm.
Arc PS measures about 13.1 cm.
Arc QS measures about 15.7 cm.
Answer:
its 1,2,4,5
Step-by-step explanation:
Answer:
A, B, D, E
Step-by-step explanation:
Arc PQ is congruent to arc SR. TRUE
The measure of arc QR is 150°. TRUE
The circumference of circle C is 20π cm. FALSE
Arc PS measures about 13.1 cm. TRUE
Arc QS measures about 15.7 cm. TRUE
Ginkgo for Dementia The herb ginkgo biloba is commonly used as a treatment to prevent dementia. In a study of the effectiveness of
this treatment, 1545 elderly subjects were given ginkgo and 1524 elderly subjects were given a placebo. Among those in the ginkgo
treatment group, 246 later developed dementia, and among those in the placebo group, 277 later developed dementia. We want to
use a 0.01 significance level to test the claim that ginkgo is effective in preventing dementia. Test the claim using a hypothesis test.
Given test Statistic z = -1.66
Write Hypothesis and Critical Value, do you Support or reject the claim.
Answer:
i) 2.58
ii) We reject the claim
Step-by-step explanation:
The number of subjects in the ginkgo treatment group, n₁ = 1,545
The number of subjects in the placebo group, n₂ = 1,524
The number that developed dementia in the ginkgo group = 246
The number that developed dementia in the placebo group = 277
The proportion that developed dementia in the ginkgo group, [tex]\hat{p}_1[/tex] = 246/1,545 = 82/515
The proportion that developed dementia in the placebo group, [tex]\hat{p}_2[/tex] = 277/1,524
The null hypothesis is H₀; [tex]\hat{p}_1[/tex] = [tex]\hat{p}_2[/tex]
The alternative hypothesis is Hₐ; [tex]\hat{p}_1[/tex] ≠ [tex]\hat{p}_2[/tex]
The z-test statistic is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
Therefore, we get;
[tex]Z=\dfrac{\dfrac{82}{515} -\dfrac{277}{1,524} }{\sqrt{\left (\dfrac{\dfrac{82}{515} \times \left(1 - \dfrac{82}{515} \right) }{1,545}+\dfrac{\dfrac{277}{1,524} \times \left (1 - \dfrac{277}{1,524} \right)}{1,524} \right )}} \approx -1.66[/tex]
From the the p-value at z ≈ -1.66 is p = 0.04846.
i) The z-Critical at 0.01 significant level is 2.58
ii) Given that the p-value, 0.04846, is larger than the significant level, 0.01, the p-value is not significant, and we fail to reject the null hypothesis
There is sufficient statistical evidence to suggest that there is no difference in the proportion of the subject on the ginkgo treatment and the proportion of the subject on the placebo treatment that have dementia, we therefore reject the claim that the herb ginkgo biloba is effective for the treatment of dementia.
Write the exponential function that passes through (-1, 27), (0, 9), (1, 3).
Step-by-step explanation:
we see, for x=-1 we get 3³
x=0 we get 3²
x=1 we get 3¹
so the function is definitely a 3 to the power of x version.
but we need to adapt the exponent a bit and correct x, so that at least for these 3 values of x the result is "running backwards".
the easiest way : 2-x as exponent.
it fits.
for x=-1 we get 2 - -1 = 3 as exponent.
for x=0 we get 2-0 = 2 as exponent.
for x=1 we get 2-1 = 1 as exponent.
so, the exponential function passing through these 3 points is
[tex]f(x) = {3}^{2 - x} [/tex]
Which number sentence is not true?
A. |-4.5| = 4.5
B. |0| < |-45|
C. |45| > 0
D. |4.5| > |-45|
Answer:
D
Step-by-step explanation:
The absolute value of a number is the actual distance of the number from zero. So, it is always a positive number. No negative value.
A) I -4.5I = 4.5 TRUE
B) I 0I < I -45I TRUE
Reason: 0 < 45
C) I 45 I > 0 TRUE
D) I4.5 I > I - 45 I FALSE
Reason: 4.5is not greater than 45
Answer:
D
Step-by-step explanation:
PLZ HELP I'LL GIVE BRAINY!!!! AND EXPLAIN
For this exponential function,
what is the output value (y),
when the input value (x) is 1?
y = 4.3x
(1, [?])
you have to plug in the x value to discover the y
y= 4.3 x 1
y = 4.3
so, the ordered pair is (1, 4.3)
hope it helps :)
For which of the following do you need to change the final y to i before adding the suffix?
say + -ing
happy + -ness
enjoy + -ment
play + -er
cosA.cos2A.cos4A=sin8A/8sinA
I assume you're supposed to establish the identity,
cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
Then you have
sin(8A) = 2 sin(4A) cos(4A)
sin(8A) = 4 sin(2A) cos(2A) cos(4A)
sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)
==> sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)
as required.