[tex]x^{2} -8=-1[/tex]
[tex]x^{2} = -1 + 8[/tex]
[tex]x^{2} = 7[/tex]
x = ±[tex]\sqrt{7}[/tex]
Answer:
x = ±sqrt(7)
Step-by-step explanation:
x^2−8=−1
Add 8 to each side
x^2−8+8=−1+8
x^2 = 7
Take the square root of each side
sqrt(x^2) = ±sqrt(7)
x = ±sqrt(7)
PLSSS HELPPPP!!! Find all real zeros and complexof each equation f(x)=(x^2+4)(x^2-9)
Answer:
x = ± 3, x = ± 2i
Step-by-step explanation:
Given
f(x) = (x² + 4)(x² - 9)
To find the zeros let f(x) = 0, that is
(x² + 4)(x² - 9) = 0
Equate each factor to zero and solve for x
x² - 9 = 0 ( add 9 to both sides )
x² = 9 ( take the square root of both sides )
x = ± [tex]\sqrt{9}[/tex] = ± 3
x² + 4 = 0 ( subtract 4 from both sides )
x² = - 4 ( take the square root of both sides )
x = ± [tex]\sqrt{-4}[/tex] = ± [tex]\sqrt{4(-1)}[/tex] = ± [tex]\sqrt{4}[/tex] ×[tex]\sqrt{-1}[/tex] = ± 2i
Thus zeros are
x = - 3, x = 3 ← real
x = - 2i, x = 2i ← complex
Describe how to transform the graph of f(x) = x² to obtain
the graph of the related function g(x) = f(–4x – 3)) + 1.
Then draw the graph of g(x).
Answer:
The functions given are:
f(x) = x²
g(x) = f(-4x-3) + 1
First, find f(-4x-3):
f(x) = x²
f(-4x-3) = (-4x-3)²
Find g(x):
g(x) = f(-4x-3) + 1
g(x) = (-4x-3)² + 1
g(x) = (-1)² (4x+3)² + 1
g(x) = (4x+3)² + 1
First take
y = (x)²
Compress the graph along x axis by multiplying x with 4
y = (4x)²
Shift the graph left by 0.75 units, by adding 3 to x term.
y = (4x+3)²
Shift the graph up by 1 unit by adding 1 to the total terms.
y = (4x+3)² +1
In the scale used on a blueprint, 14 inch represents 3 feet. On the blueprint, what is the length of a room with an actual length of 24 feet? 1. 3/4 in 2. 2 in 3. 6 in 4. 8 in
Answer: 2in
Step-by-step explanation:
Hi, to answer this question we have to apply proportions:
The correct scale on the blueprint is : 1/4 inch represents 3 feet.
So, the proportion is: 1/4 inch/ 3 feet = (1/4) /3
For 24 feet:
x inches /24 feet = x/24
So:
(1/4)/3 = x/24
Solving for x (inches)
[(1/4)/3 ] (24) =x
x =2 inches
Feel free to ask for more if needed or if you did not understand something.
f(x) = x2. What is g(x)?
Answer:
C. g(x) = 1/4x²
Step-by-step explanation:
g(2) = 1/4 × (2)²
g(2) = 1/4 × 4
g(2) = 1
It matches the point (2,1) on the graph.
Hope this helps. :)
Answer:
C
Step-by-step explanation:
please help me with this if youre feeling generous today! thank you!
Answer:
The answer is number 2 because a positive number is always bigger than a negitive number
Angles F and H are congruent.
Angles c and e are congruent.
Angles a and g are congruent.
Angles f and c are congruent.
Answer:
Last Choice: Angles F and C are congruent
Step-by-step explanation:
Angles F and C are congruent because they are vertical angles.
All other pairs of angles in the choices are not necessarily congruent.
A submarine is searching for underwater features with help from an underwater robotic vehicle. At one time the submarine is 55m below the surface, and the underwater robotic vehicle is 227m below the surface. What is the distance between the underwater robotic vehicle and the submarine?
Answer: 172
If something is below underwater then it is a negative. They are under water they are both negatives. To find the distance you subract both number and get their absolute value.
-227-55= -172
Absolute value=172
A ball has a volume of 4 cubic inches (in3). Use the fact that 1 inch is equal to 2.54 cm to convert this volume to cubic centimeters (cm3).
Answer:
Volume = 65.55 cm³
Step-by-step explanation:
Given
Volume of a ball = 4 in³
Required
Convert volume from in³ to cm³
Recall that
Volume of the ball = 4 in³
Simplify the expression above
Volume = 4 * 1 in³ ------ Equation 1
From laws of indices:
1in³ = 1in * 1in * 1n
Substitute the above law in Equation 1
Volume = 4 * 1 in * 1 in * 1 in --- Equation 2
From the question,
1 in = 2.54cm
Substitute 2.54cm for 1 in in equation 2
Volume = 4 * 1 in * 1 in * 1 in becomes
Volume = 4 * 2.54 cm * 2.54 cm * 2.54 cm
Volume = 65.548256 cm³
Volume = 65.55 cm³ (Approximated)
Hence, the volume of the ball in cm³ is approximately 65.55 cm³
To plot the point (5, -3) you would move up 5, then left 3.
True
False
Hey there! :)
Answer:
False.
Step-by-step explanation:
In a point, the coordinates are in the format:
(x, y).
In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:
Move right 5, down 3.
Answer:
False
Step-by-step explanation:
To plot the point (5, -3) you would move right 5, then down 3.
Simplify the expression so there is only one positive power for each base.-5 -5^7÷-5^2 A.1/5^9 B.-5^9 C.-5^5 D.1/5^5
Answer:
-5^7/-5^2=5^7/5^2= 5^(7-2)=5^5 this is the answer
Step-by-step explanation:
plz give me brianlist
A local newspaper was wondering if its average reader lived more than 25 miles from its headquarters. The newspaper surveyed its readers and received 10 responses. Using the results from the current survey and several previous surveys, the newspaper has decided to assume that the population standard deviation for the distance its readers live from its headquarters is 13.2 miles. The local newspaper conducts a one-mean hypothesis at the 5% significance level, to test if the average distance a reader lives from the newspaper's headquarters is greater than 25 miles. (a) H0:μ=25; Ha:μ>25, which is a right-tailed test. (b) z0=0.22, p-value is = 0.41. (c) Which of the following are appropriate conclusions for this hypothesis test? Select all that apply. We reject H0. We fail to reject H0. At the 5% significance level, the data provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles. At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
Answer:
We fail to reject H₀.
At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
Step-by-step explanation:
The hypothesis for the statistical test is defined as follows:
H₀ : μ =25 vs. Hₐ : μ > 25
The test statistic value is, z₀ = 0.22.
The p-value of the test is, p-value = 0.41.
The significance level is, α = 0.05.
The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.
A small p-value (typically ≤ 0.05) specifies strong evidence against the null hypothesis (H₀), so you discard H₀.
A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.
Here, p-value = 0.41 > α = 0.05.
The null hypothesis was failed to be rejected at 5% level of significance.
Conclusion:
There is not enough evidence to support the claim that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
A car travels at 60 miles per hour. If d is the distance traveled and t is the time in hours:
Write a function for the distance traveled d in t hours.
What is the dependent variable?
What is the independent variable?
Make a table with at least 5 coordinate pairs.
Graph the coordinate pairs and draw the function
The first one to answer with explanation get 100 pts and brainliest..
Answer:
Step-by-step explanation:
first we will break the parts of the question down:
d= distance
t= time
function: d=t(60)
the independent variable is t, time, because the (distance) that the car travels depends on how long the car has been traveling for (time) meaning that the dependent value is distance.
A table we can create with 5 coordinate pairs is:
(time) (distance)
1 hr 60miles
2 hr 120 miles
3 hr 180 miles
4 hr 240 miles
5 hr 300 miles
(to graph the coordinate pairs, you can graph the points listed in the table. the time value represents the x value since it is the independent variable, and the y value will be the distance values since it is dependent.)
explain rate of change in graphs
Answer:
change in y
over
change in x
---------------------------------------
please make me brainliest
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x find x (the input) if g(x) = 0 ( the output 0 ) there are 2 answers
if g(x) = 0, then
x = 0 -- > g(0) = 0^2 + 2(0) = 0 + 0
AND x = -2 --> g(-2) = -2^2 + 2(-2) = 4 + (-4) = 0.
I don't know why f(x) was given at all, but when x = 0, f(0) = -5, and when x = -2, f(-2) = -8.
15 points, 5 stars and thanks will be your reward if you answer this question correctly: a(7x+2)=bx+8 a and b are both integers. What is the value of b?
Answer:
b = 28
Step-by-step explanation:
Given
a(7x+2)=bx+8
=> 7ax + 2a = bx + 8
in both the equation there is a term containing x and a term not containing x.
since value of both equation is equal. hence
term containing x on both side will be equal to each and
term independent of x will be equal in both the equation
thus
7ax = bx
2a = 8
=> a = 8/2 = 4
now, plugging a = 4 in 7ax = bx
7*4x = bx
=> b = 7*4x/x = 28.
Thus, value of b is 28.
Help fill in the blanks no
Answer:
Here is the full proof:
AC bisects ∠BCD Given
∠CAB ≅ ∠CAD Definition of angle bisector
DC ⊥ AD Given
∠ADC = 90° Definition of perpendicular lines
BC ⊥ AB Given
∠ABC = 90° Definition of perpendicular lines
∠ADC ≅ ∠ABC Right angles are congruent
AC = AC Reflexive property
ΔCAB ≅ ΔCAD SAA
BC = DC CPCTC
A swimming pool measures 35 feet by 50 feet long. What is the ratio of the length to the length to the perimeter in simplest form?
Answer:
7:10:34
Step-by-step explanation:
1. Ratio outline:
Length 1:Length 2:Perimeter
2. Length 1 = 35 feet
3. Length 2 = 50 feet
4. Perimeter = Length of all sides
- Since, a ractangle has 4 sides and the opposite sides are equal, we do Perimeter = 35+50+35+50 = 170
5. Substitute the values into the ratio outline:
35:50:170
6. Convert into simplest form: Divide by greatest common factor (5)
7:10:34
Solve for x: 2000=5000e^4x
Answer:
x = -0.23
Step-by-step explanation:
2000=5000e^4x
=> e^4x = 2000/5000 = 2/5
taking the natural logarithn on LHS and RHS
ln e^4x = ln2/5
=> 4x lne = ln2/5
we know ln e = 1, also ln a/b = lna - ln b
ln 2 = 0.693, ln 5 = 1.609
4x = ln2 - ln5
4x = 0.693 - 1.609
x = -0.916/4 = -0.229
Thus, x = -0.23 rounded to two decimal place.
Answer for all please
Answer:
a)
mean of the Standard normal distribution is μ = 0
Standard deviation of the Standard normal distribution σ = 1
b) P( Z < 1.96) = 0.9744
c)
P( - 0.41 < Z) = 0.6591
d) h = 0.3
Step-by-step explanation:
Step(i):-
a)
Given X be a continuous random variable in Normal distribution
The Normal distribution for μ = 0 and σ = 1 is known as Standard normal distribution
mean of the Standard normal distribution is μ = 0
Standard deviation of the Standard normal distribution σ = 1
b)
P( Z < 1.96) = 0.5 + A(1.96)
= 0.5 + 0.4744
= 0.9744
P( Z < 1.96) = 0.9744
c)
P( - 0.41 < Z) = P(Z > -0.41)
= 0.5 +A(-0.41) (∵ A(-0.41) = A(0.41)
= 0.5 + 0.1591
= 0.6591
P( - 0.41 < Z) = 0.6591
d)i) If h >0
P( z < h) = 0.20
⇒ 0.5 +A(z) = 0.20
⇒ A(Z) = 0.20 - 0.5
⇒ A(Z) = - 0.3
h = -0.3
if h < 0
P( z < h) = 0.20
⇒ 0.5 -A(z) = 0.20
⇒ A(Z) =0.5 - 0.2
⇒ A(Z) = 0.3
h = 0.3
Divide(or reduce) your answer if necessary 12 and 1/4 divide by 1/8
Answer:
98
Step-by-step explanation:
First to do this you must turn 12 and 1/4 into an improper fraction. 12 and 1/4 as an improper fraction is 49/4, as their are 49 1/4s in 12 and 1/4.
Now to divide 49/4 by 1/8, you keep 49/4, turn the division sign into a multiplication sign, and turn 1/8 into 8/1 (flip numerator and denominator)
This turns 49/4÷1/8 into 49/4×8/1. Now to multiply you get 49 × 8 as the numerator and 4 × 1 as the denominator. This ends up being 392/4. You then can simplify by dividing both numbers by 4, and get 98/1 or 98.
Answer: 98
Step-by-step explanation: To divide 12 and 1/4 by 1/8, first write 12 and 1/4 as the improper fraction 49/4.
So we have 49/4 ÷ 1/8.
Now, since dividing by a fraction means the same thing as multiplying by the reciprocal of the fraction, we can rewrite 49/4 ÷ 1/8 as 49/4 × 8/1.
Before multiplying however, always try to cross-cancel.
In this problem, the 4 and 8 cross-cancel to 1 and 2.
So we have 49/1 × 2/1 which is 98/1 or 98.
5
Which graph shows the solution set for zx-352?
-8 -7 -6 -5 4 -3 -2 -1 0 1 2
-8 -7 -6 -5 4 -3 -2 -1 0 1 2
+
-8-7 -6 -5 4 -3 -2 -1 0 1 2
-8-7 -6 -5 4 -3 -2 -1 0 1 2
Answer:
the 2nd one
Step-by-step explanation:
b/c
-5/2x-3≤2
-5/2x≤3+2
-5/2x≤5
-5x≤10
x≥10/-5
x≥-2
a train can either be early on time or late. the probability that the train is early is 0.2 the probability that the train is on yome is 0.5 work out the probability that the train is late
Answer:
0.3 Train is late
Step-by-step explanation:
20% - Train is early
50% - Train is on time
add
0.2 + 0.5 = 0.7
subtract from 1
1 - 0.7 = 0.3
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. i.Radhika answered all the questions and scored 30 marks and get 10 correct answers. ii.Jay also answered all the questions and scored (-12) marks though he got 4 correct answers. How many incorrect answers had they attempted?
Step-by-step explanation:
number of correct answer is x and
number of wrong answer is y
according to question
In the case of Radhika
5x-2y=30
x=10
y=10
In the case of Jay
5x-2y=-12
x=4
y=16
incorrect answer by Radhika is 10 and by jay is 16
16 2/3 percent of what number is 72
Please help! Will mark as brainliest!
Answer:
[tex]y = -\frac{2}{5} x - 11[/tex]
Step-by-step explanation:
So we are given the two coordinate points (-10 , -7) and (-5 , -9).
With the question to "Complete the equation of the line."
So what we do is to compute the slope of both coordinates, which will give us
[tex]-\frac{2}{5}[/tex]
So to complete part of the equation:
[tex]y = -\frac{2}{5} x[/tex]
Now we need to compute the y intercept, since all numbers are negative, there is likely chance [tex]b[/tex] will be a subtraction method.
Compute the y intercept:
[tex]-11[/tex]
Complete the equation :
[tex]y = -\frac{2}{5} x - 11[/tex]
Here is a graph to go with the equation :
Multiple (2x+1)(x-5)
Answer:
2x² - 9x - 5
Step-by-step explanation:
Step 1: FOIL
2x² - 10x + x - 5
Step 2: Combine like terms
2x² - 9x - 5
Answer:
2x^2−9x−5
Step-by-step explanation:
(2x+1)(x−5)
=(2x+1)(x+−5)
=(2x)(x)+(2x)(−5)+(1)(x)+(1)(−5)
=2x^2−10x+x−5
=2x^2−9x−5
Which of the following are not polynomials?
Answer:
I think it's a,c,and e that aren't polynomials
Answer:
A, C, and E
Step-by-step explanation:
A is not a polynomial because its exponents is negative.
C is not a polynomial because the power of x is ½ and exponents can only be integers
E is not a polynomial because one cannot divide by a variable and the exponent of x is negative
help me i need help with this
Answer:
0.421
Step-by-step explanation:
add all numbers: 59 + 68 + 12 + 1 = 140
blue jays: 59
p(blue jay) = 59/140 = 0.421
Answer:
0.421
Step-by-step explanation:
59 + 68 + 12 + 1 = 140
59/140 = 0.421
What’s the name of that shape?
Answer:
trapezoid (U.S.A.)
trapezium (UK)
Step-by-step explanation:
On the right side, two sides are perpendicular to the same side. That makes those two sides parallel. A quadrilateral with 2 parallel sides is a trapezoid (in the U.S.) or trapezium (in the UK.)
Answer:
It’s a trapezoid
Step-by-step explanation:
A trapezoid can have a flat side and can look normal.
Determine the points for the graph of the relation
x=2y2 + 6 using the y-values given in the table.
A. (-2, 14), (-1,8), (0, 6), (1,8), (2, 14)
B. (14,-2), (8, -1), (6,0), (8, 1), (14, 2)
C. (8,-2), (2,-1), (0, 0), (2, 1), (8, 2)
D. (2,-2), (4, -1), (6,0), (8, 1), (10, 2)
Answer:
Option B.
Step-by-step explanation:
The given relation is
[tex]x=2y^2+6[/tex]
At y=-2,
[tex]x=2(-2)^2+6[/tex]
[tex]x=2(4)+6[/tex]
[tex]x=8+6[/tex]
[tex]x=14[/tex]
Similarly,
At y=-1,
[tex]x=2(-1)^2+6=8[/tex]
At y=0,
[tex]x=2(0)^2+6=6[/tex]
At y=1,
[tex]x=2(1)^2+6=8[/tex]
At y=2,
[tex]x=2(2)^2+6=14[/tex]
So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).
Therefore, the correct option is B.