Answer:
126
Step-by-step explanation:
Solve (x - 2)^2 - 3 = 1 graphically. That is graph y = (x - 2)^2 - 3 and y = 1 on the same set of axes and find the x-value(s) of any points of intersection. Then use algebraic strategies to solve the equation and verify that your graphical solutions are correct.
Check the attachment(s) for the graphs pertaining to the question
No. 1) Check graph [first attachment]
No. 2) y = (x - 2)^2 - 3, y = 1
(x - 2)^2 - 3 = 1,
(x - 2)^2 = 4
x - 2 = √4, x - 2 = - √4
x = 4, x = 0
Substitute back to determine the respectively y-value:
y = (4 - 2)^2 - 3 = (2)^2 - 3 = 4 - 3 = 1
Check: y = (0 - 2)^2 - 3 = (-2)^2 - 3 = 4 - 3 = 1
So the points of intersection are (4, 1) and (0, 1). According to the graph, that is correct.
i really really need the answer plz help this is the fourth time im asking this question plz help.
Answer:
5g-4/4your answer right answer
Step-by-step explanation:
we have to find value of g ????
3.3.4 Practice: Angle Relationships in Triangles
Practice
Math 8 Sem 2
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Answer the questions to find the measures of ∠2 and ∠3.
1. What is the measure of ∠4? Explain how you know.
Write your answer in the space below.
2. What is the sum of the measures of the angles in a triangle?
Write your answer in the space below.
3. ∠1 is in a triangle with ∠4 and a 53° angle. What is the sum of the measures of those two angles?
Write your answer in the space below.
4. What is the measure of ∠1? Explain.
Write your answer in the space below.
5. Find the measure of ∠2. Explain how you found its measure.
Write your answer in the space below.
6. What is the measure of ∠3? Explain.
Write your answer in the space below.
For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because
180 - 90 = 90
The sum of the three angles of any triangle is equal to 180 degrees.
Angle 2=127 because 180-53=127.
Angle 3=23 because 180-30-127=53
Angle 1=37 because 90-53=37
Angle 4=90
Angle 1+4=127
The measure of ∠1 is 125° .
Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46
Answer:
Good luck!
Step-by-step explanation:
For the function f(x)=-7x-5, evaluate f(6)
Answer:
f(x)=-7x-5
f(6)=-7(6)-5
f(6)=-42-5
f(6)=-47
Which expression results from using the Distributive Property?
16. 3(6 +r)
A. 6+r
B. 6 + 3r
C. 181
D. 18 + 3r
Describe the characteristics of metal in which metal converts into sheet.
Answer:
a solid material that is typically hard, shiny, malleable, fusible, and ductile, with good electrical and thermal conductivity ( iron, gold, silver, copper, and aluminum, and alloys such as brass and steel)
Step-by-step explanation:
you bought 12 red apples and 15 green apples to make a pie?
what is the ratio of the number of red apples to the total number of apples simplified?
Answer:
4:9
Step-by-step explanation:
12 red apples and 27 apples in total so it would be 12:27. Just divided it by 3
I think that's what the question is asking...
I really need help plz
Answerwhat do you need help with?
Step-by-step explanation:
1) If Donkey Kong is on a bridge 638 feet in the air, 6 seconds after a shell
was released, which shell hit Donkey Kong and how do you know?
+
Answer:
5000inches
Step-by-step explanation:
i think is that!
What is the y-intercept of the line with the equation 4y = -3x + 10?
Step-by-step explanation:
Given
4y = - 3x + 10
y = ( - 3x + 10 ) / 4
y = - 3/4 x + 10 / 4
y = - 3/4 x + 5 / 2
Comparing the given equation with y = mx +c Then
y - intercept (c) = 5/2
Hope it will help :)
Find angle picture below
Answer:
T=62
U=33
V=85
Step-by-step explanation:
4 divided by 3.2 show work
To divide 4 by 3.2, we can use long division.
Here's the step-by-step process:
1.25
___________
3.2 | 4.00
3.2 (subtract 3.2 from 4.00)
_______
8
6.4 (bring down the 0)
_______
16
16 (subtract 16 from 16, no remainder)
_______
0
Therefore, 4 divided by 3.2 is equal to 1.25.
Learn more about Long division here:
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Question 11
A rectangle with a perimeter of 12 inches is enlarged by a scale factor of 3. What is the perimeter of the enlarged
rectangle?
Answer:
The perimeter of the enlarged rectangle is 36 inches.
Step-by-step explanation:
Perimeter of an enlarged figure:
To find the perimeter of an enlarged figure, we multiply the perimeter of the original figure by the scale factor.
In this question:
Perimeter of the original rectangle: 12 inches
Scale factor: 3
Perimeter of the enlarged rectange:
12*3 = 36 inches
Imagine that Dr. Jones publishes a study that claims that drinking while pregnant is dangerous for the health of the unborn baby. He surveys 200 women and finds that of the 100 women in his study who drank when pregnant, 78 had children who experienced problems with attention. Of the 100 women in his study who did not drink when pregnant, only 29 children experienced problems with attention. Your neighbor says that Dr. Jones is wrong because she drank when pregnant and her child is perfectly healthy. Explain why Dr. Jones is NOT wrong.
Answer:
Kindly check explanation
Step-by-step explanation:
Dr. Jones conclusion was based on probability which measures the degree of likelihood of an occurrence or event. In his experiment, the result could be interpreted using point estimate to mean that ; 78/100 = 0.78 or 78% of those who drank while pregnant has problem with attention while only 29/100 = 0.29 or 29% of those who did not drink.
This conclusion means that pregnant women who drink have a higher likelihood of giving birth to a child with attention problem than pregnant women who do not drink. Hence, the fact that someone who drank gave birth to a perfectly healthy child does not discredit or annull Dr. Jones study.
We roll two fair 6-sided dice. If a fair dice is rolled, the probability of it landing on any number between [1-6] is equi- probable (i.e., 1 6 ). (a) Find the probability that doubles are rolled. (Rolling doubles mean both dices land in the same number, e.g., 3 and 3.) (b) Given that the roll results in a sum of 6 or less, nd the conditional probability that doubles are rolled. (c) Find the probability that the larger of the two die's outcomes is at least 4.
Answer:
a.) [tex]\frac{1}{6}[/tex]
b.) [tex]\frac{3}{15}[/tex]
c.) [tex]\frac{27}{36}[/tex]
Step-by-step explanation:
Given - We roll two fair 6-sided dice. If a fair dice is rolled, the probability
of it landing on any number between [1-6] is equi- probable
(i.e., [tex]\frac{1}{6}[/tex]).
To find - (a) Find the probability that doubles are rolled.
(b) Given that the roll results in a sum of 6 or less, and
the conditional probability that doubles are rolled.
(c) Find the probability that the larger of the two die's outcomes
is at least 4.
Proof -
As given , two fair 6-sided dice is rolled.
The sample space is as follows :
S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Total number of outcomes = 36
a.)
Sample space that double are rolled = { (1, 1), ( 2, 2), ( 3, 3) , ( 4, 4), ( 5, 5), ( 6, 6) }
Total number of possible outcomes = 6
So, Probability = [tex]\frac{6}{36}[/tex] = [tex]\frac{1}{6}[/tex]
b.)
Sample space that roll shown sum of 6 or less = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)}
Now,
Total outcomes = 15
Total possible outcome that doubles are rolled = 3 ( i.e (1,1), (2, 2), (3, 3) )
So, Probability = [tex]\frac{3}{15}[/tex]
c.)
Sample space that larger of the two die's outcomes is at least 4 = { (1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Total possible outcomes = 27
So, Probability = [tex]\frac{27}{36}[/tex]
Please help me with this question
Answer:
An equation is y=-3x+7 (I chose slope-intercept form because they already showed us the slope). When y =13 x=-2
Step-by-step explanation:
plugin 13 for y and subtract 7 from both sides, this lets you get 6=-3x then divide 6 by -3 which makes x=-2
You're a contestant on a TV gameshow where you must choose between four identical looking suitcases containing $100, $100, $300, and $400. You start by randomly picking one suitcase. The host then opens the remaining suitcase with the lowest dollar amount. Now, you have the choice to keep your current suitcase or switch to one of the two remaining suitcases. With probability p= 0.7, you keep your original suitcase and open it. Otherwise, you are equally likely to choose either of two the remaining suitcases and open it. You win the money in the suitcase you opened.
Consider these events:
Ai is the event that the first suitcase you choose is worth i dollars.
Hi is the event that the host opens a suitcase worth i dollars.
Wi is the event that you win i dollars.
If you play this game five times, the probability that the event W400 occurs twice in five trials is:_______
Answer:
0.2990 = 29.90%.
Step-by-step explanation:
For each trial, there are only two possible outcomes. Either you win $400, or you do not. Trials are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of winning $400 in a trial:
1/4 probability of choosing the suitcase containing $400, and in this case, 0.7 probability of keeping it.
3/4 probability of choosing another suitcase. Then, 0.3 of 3/4 probability of changing the suitcase, and 0.5 of 0.3 of 3/4 probability of getting the suitcase containing $400. So
[tex]p = \frac{1}{4}*0.7 + \frac{3}{4}*0.3*0.5 = 0.25*0.7 + 0.75*0.15 = 0.2875[/tex]
If you play this game five times, the probability that the event W400 occurs twice in five trials is:_______
This is P(X = 2) when n = 5. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.2875)^{2}.(0.7125)^{3} = 0.2990[/tex]
The probability is 0.2990 = 29.90%.
what's 24 -3 (7-5) to the power of two over (+8) (-6) ÷ (+12)?
Answer:
45%
Step-by-step explanation:
45%
Elmer is purchasing 2 4/5 pounds of candy that cost $1.85 per pound.
If he pays with $10, how much will he get in change? HELP I WILL MARK BRAINIEST
Answer:
hi
Step-by-step explanation:
Daniel bought 1 pound of jelly beans and 2 pounds of chocolates for $2.00. ... for $1.50. How much would he have to pay on his next trip to the candy store if he bought 1 pound of each of the 4 kinds ... How many are there? Assign ... Multiply each equation by a factor, so that all equations will have the same total price: 3(1j +.
PLEASE HELP, I WILL MARK BRAINLIEST TO THE ONE WHO ANSWERS FIRST
The perimeter of the base of a square prism is 16cm. The height of the prism is 5 cm. Find the volume of the prism.
(Hint: use the perimeter to find the length of the side)
Answer: Down Below
Step-by-step explanation:
Surface Area(rectangular prism) = 192 cm^2
Area(square) = 16cm^2
Area(square) = LW or S^2
Area = 16cm^2
how many seconds are there in 8 minutes 12seconds
Answer:
1 minute has 60 seconds
therefore 8 minutes will have 60 × 8 seconds = 480 seconds
480 + 12 = 492
hence 8 minutes 12 seconds will have 492 seconds
Answer: 492 seconds
Step-by-step explanation:
1min = 60sec
therefore, 8min 12sec = [8 x 60] + 12
= 480 + 12
= 492 sec
Hope it helped u,
pls mark as the brainliest - Ayaan707 for help :) -
^_^
Are these answers right
Look at pictures
Complementary angles
Answer:
1) correct
2) correct
3) incorrect, x = 11
4) incorrect, x = 50
Step-by-step explanation:
3) 90-35 = 5x
5x = 55
x = 11
4) 90-56 = (x-16)
x-16 = 34
x = 50
Answer:
Step-by-step explanation:
3) 5x + 35 = 90 {Complementary angles}
5x = 90 - 35
5x = 55
x = 55/5
x = 11
4) 56 +x - 16 = 90 {Complementary angles}
x + 40 = 90
x = 90 - 40
x = 50
what is Z x-2, when x=2 and z=2
Answer:
2
Step-by-step explanation:
2x2-2=2
value digit of 468, 204, 459 , 964, 468
Answer:
964 = 4
204 = 4
459 = 400
468 = 400
Simplify completely and find the restrictions on the variable.
Answer:
[tex]\displaystyle \frac{8}{x - 11}, x \neq 2, 11[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringAlgebra II
DiscontinuitiesDomain RestrictionsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{8x - 16}{x^2 - 13x + 22}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{8(x - 2)}{x^2 - 13x + 22}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{8(x - 2)}{(x - 11)(x - 2)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{8}{x - 11}[/tex]We know that x cannot equal 11, because that would give us a divide by 0 error and we know that x cannot equal 2 because it was canceled out when simplifying.
1. The nominal rate on Sandra's loan is 7.125%. If the interest is compounded monthly, what rate of
interest is Sandra actually paying? (use the formula)
Answer:
She is actually paying a rate of 7.36% of interest.
Step-by-step explanation:
The real interest rate, as a decimal, is given by:
[tex]I = (1 + \frac{r}{n})^{n}[/tex]
In which r is the interest rate and n is the number of compoundings during an year.
The nominal rate on Sandra's loan is 7.125%, compounded monthly:
This means that [tex]r = 0.07125, n = 12[/tex]
So
[tex]I = (1 + \frac{0.07125}{12})^{12} = 1.0736[/tex]
As a percentage: 1.0736*100 = 107.36% - 100% = 7.36%
She is actually paying a rate of 7.36% of interest.
What is the total cost of 1.2 Cubic yards of soil if it sells for $24 per cubic yard?
Answer:
$28.80 I hope that helps if not I'm sorry if it's wrong
Step-by-step explanation:
we write "dollars per cubic yard" as "dollars/yd^3" so that the units "yd^3" will cancel when multiplying by "1.2 yd^3", leaving an answer in units of dollars
24 dollars / yd^3 * 1.2 yd^3 = 28.80
the cost would be $28.80
35% of students take spainsh or engineering. 30% of students take Spanish. 25% of students take engineering. What is the probability that a student takes Spanish and engineering?
Answer:
0.2 = 20% probability that a student takes Spanish and engineering
Step-by-step explanation:
We solve this question treating the probabilities as Venn sets.
I am going to say that:
Event A: Student takes Spanish
Event B: Student takes Engineering.
35% of students take spainsh or engineering.
This means that [tex]P(A \cup B) = 0.35[/tex]
30% of students take Spanish.
This means that [tex]P(A) = 0.3[/tex]
25% of students take engineering.
This means that [tex]P(B) = 0.25[/tex]
What is the probability that a student takes Spanish and engineering?
This is [tex]P(A \cap B)[/tex].
These probabilities are related by the following formula:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
Replacing the values
[tex]P(A \cap B) = 0.3 + 0.25 - 0.35 = 0.2[/tex]
0.2 = 20% probability that a student takes Spanish and engineering
PLSSS PLSSS I NEED HELPP
Answer:
Step-by-step explanation:
Perpendicular (p) = 8
base(b) = 7
Tan A = p/b
tan A = 8/7
A = tan ^-1(8/7)
A = 48.81°
What is the difference, in hours and minutes, between these times?
a)
13 40 and 17 15
hours
minutes
b)
11 25 and 14 10
hours
minutes
c)
2:50 am and 7:20 am
hours
minutes
d)
10:35 am and 2:40 pm
hours
minutes
Answer:
a) 3 hrs 35 mins
b) 2 hrs 45 mins
c) 4 hrs 30 mins
d) 4 hrs 5 mins
Step-by-step explanation:
The difference, in hours and minutes, between these times are;
a) 3 hrs 35 mins
b) 2 hrs 45 mins
c) 4 hrs 30 mins
d) 4 hrs 5 mins
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The difference, in hours and minutes, between these times can be calculated as;
a) 13 40 and 17 15
13 :40 - 17 : 15
= 3 hrs 35 mins
b) 11 :25 and 14: 10
11 :25 - 14: 10
= 2 hrs 45 mins
c) 2:50 am and 7:20 am
2:50 am - 7:20 am
= 4 hrs 30 mins
d) 10:35 am and 2:40 pm
10:35 am - 2:40 pm
= 4 hrs 5 mins
More about the Algebra link is given below.
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