Explanation:
You want to first to substitute to form 3 equations.
5=4a+2b+c
12=9a+3b+c
-4=a-b+c
Now solve with whatever way you fell comfortable, I'm going to use elimination.
First eliminate c
7=5a+b
16=8a+4b --> 4=2a+b
Then I'll eliminate b,
3=3a
a=1
Now solve for b and c
7=5+b
b=2
1-2+c=-4
c=-3
Now for the equation:
y=x^2+2b-3
Hope this helps!
Which expression is equivalent to x2−12x+36?
a (x+6)2
b (x+12)(x−3)
c (x+6)(x−6)
d (x−6)2 please help me figure this out
Answer:
(x-6)(x-6) or (x-6)^2
Step-by-step explanation:
Helpppp i dont understand
3+(55-111)/25 equals what
Answer:
0.76
Step-by-step explanation:
3+(55-111)/25
=3+(-56)/25
=3+ (-2.24)
=0.76
Answer:
3+(55-111)/25= 0.76
Step-by-step explanation:
Using PEMDAS, you solve 55-111 which is -56
Then you divide -56 by 25 because it is the fourth step, you get -2.24
Add three to -2.24 to get 0.76
If you round UP to the nearest tenth, it will be 0.80
If you round DOWN to the nearest tenth, it will be 0.70
use prime factorization to find the greatest common factor of 56 and 84
Answer:
28
Step-by-step explanation:
Hope this helped.
All I want to know is the formula and I will do the rest...pls someone help me with the formula...
Hey in this type of questions there's no formula, you need to use your logic.
#Note that the full degree or a triangle is 180°
#The L in triangle is 90°
I see that you want to try to do it by yourself, i will give you the tips. to get the <BAD
#since <DAC is 90°, The ADB is 90° (180°-90°)
<BAD = 180° - 90° - 25° = 65°
Now, try to find <BCA yourself.
Tell me if you give up, i will tell you lol.
An electronics hobbyist has three electronic parts cabinets with two drawers each.
One cabinet has NPN transistors in each drawer, while a second cabinet has PNP transistors in each drawer. The third cabinet has NPN transistors in one drawer and PNP transistors in the other drawer. The hobbyist selects one cabinet at random and withdraws a transistor from one of the drawers.
a) What is the probability that an NPN transistor will be selected?
b) Given that the hobbyist selects an NPN transistor, what is the probability that it came from the cabinet that contains both types?
c) Given that an NPN transistor is selected what is the probability that it comes from the cabinet that contains only NPN transistors?
Answer:
a) 0.5 = 50% probability that an NPN transistor will be selected.
b) 0.3333 = 33.33% probability that it came from the cabinet that contains both types
c) 66.67% probability that it comes from the cabinet that contains only NPN transistors
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a) What is the probability that an NPN transistor will be selected?
1/3 probability that the first cabinet is chosen. This cabinet has two transistors, both of which are NPN, so 100% probability of selecting a NPN transistor.
1/3 probability that the second cabinet is chosen. This cabinet has two transistors, both of which are PNP, so 0% probability of selecting a NPN transistor.
1/3 probability that the second cabinet is chosen. This cabinet has two transistors, one of which is NPN, so 50% probability of selecting a NPN transistor.
So
[tex]p = \frac{1}{3}*1 + \frac{1}{3}*0 + \frac{1}{3}*0.5 = \frac{1}{3} + \frac{1}{6} = \frac{2}{6} + \frac{1}{6} = \frac{3}{6} = 0.5[/tex]
0.5 = 50% probability that an NPN transistor will be selected.
b) Given that the hobbyist selects an NPN transistor, what is the probability that it came from the cabinet that contains both types?
Here we use the conditional probability formula.
Event A: NPN transistor
Event B: From the third cabinet.
50% probability that an NPN transistor will be selected, so [tex]P(A) = 0.5[/tex].
1/6 probability that it is from the third cabinet and NPN, so [tex]P(A \cap B) = \frac{1}{6}[/tex]
The desired probability is:
[tex]P(B|A) = \frac{\frac{1}{6}}{0.5} = 0.3333[/tex]
0.3333 = 33.33% probability that it came from the cabinet that contains both types.
c) Given that an NPN transistor is selected what is the probability that it comes from the cabinet that contains only NPN transistors?
Either it comes from the cabinet with only NPN transistors, or it comes from the cabinet with both types of transistors. The sum of the probabilities of these outcomes is 100%. So
x + 33.33 = 100
x = 66.67
66.67% probability that it comes from the cabinet that contains only NPN transistors
Hello pls help me with two of these questions;)
Answer:
1-A-15
2-C
Step-by-step explanation:
7-21 is an increase by 3 times, so 5*3=15
The second is kinda blurry, so it's a little hard to explain.
Papi has 148 slices of pizza in his shop. He sells 56 slices. How many slices does Papi have left? Draw a math Mountain to solve each word problem.
Answer:
92
Step-by-step explanation:
148 - 56 = 92
Hope this helped
Answer:
The answer is 92
Step-by-step explanation:
148 - 56 = 92
What is the slope of y = -5 – 41?
Answer:
4
Step-by-step explanation:
We need to rewrite this in slope-intercept for which is
y=mx+b
So switch 4x and -5
y=4x-5
m is slope and b is y-intercept we need to find the slope so we look what is beside x which is 4 so the slope is 4
Hope this helps!
I need help with this
Answer:
5√2
Step-by-step explanation:
With reference angle 45°
perpendicular (p) = 5
hypotenuse (h) = x
sin 45 ° = p / h
1/√2 = 5 / x
x = 5√2
Pls answer I really need help with this pleasseeee
Answer:
12.3
Step-by-step explanation:
help me please I need this done I've been stuck on it for a while!
Answer:
Step-by-step explanation:
5 * 2^2*5 + 2^4
5^2*2^2+2^4
answer is B
Jimmy estimates that a pitcher holds 4.5 liters of liquid. It actually holds 4.8 liters. What is the percent error between his estimate and the actual volume of the pitcher?
A. 1/3%
B. 1 1/3%
C. 6 1/4%
D. 6 2/3%
Answer:
the answer is 6 1/4%. I hope it helps!
Solve m+7=8
What dose m =
Which of the following states the conditions that the graph meets?
OX2
Ox22
Oys2
Oy22
Find the equation of the line with slope = -8 and passing through (-2,12). Write your equation in the
form y = mx + b.
Answer:
y=-8x-4
Step-by-step explanation:
18% of the the students at a school are in year 8 and 16% of the students are in year 9. If the school has 126 tera 8 students, determine the number of year 9 students.
Answer:
112
Step-by-step explanation:
The general form of all percentage questions is: the chunk= (some percentage) (of the whole), or c=p*w
We know that 18% of students are 8th grade and that is 126 students, so p = 0.18 and c=126 (126 students are 18% of the whole school)
126 = (0.18)w, divide both sides by 0.18
126/(0.18) = w = 700
9th graders are 16% of the school or 16% of 700 students
c = (0.16) 700 = 112 students
help me plis What is the exact measurement of the line segment? A. B. C. D.
Answer: where is the line segment
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Need help On question 1. for geo
Classify by angle = obtuse (one angle in the triangle is obtuse)
Classify by sides = isosceles (has two equivalent sides)
Triangle 2 :Classify by angles = right (an angle in the triangle is equal to 90°)
Classify by sides = scalene (none of the sides in this triangle is equal)
What is 3/5 divided by 3/4
3/5 *4/3
1/5*4/1=4/5
=.8
hope it helps
Bernie left home, riding his bike at a rate of 15 miles per hour. Charlie left 1 hour later, biking at a rate of 20 miles per hour. How long will it take Charlie to catch up to Bernie?
The angles of a triangle add up to 180 degrees.
The second angle is 20 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
Find the measure of the smallest angle (in degrees)
Answer: 32 degrees
Step-by-step explanation:
small angle : x
middle angle: x + 20
large angle: 3x
Form an equation: 5x + 20 = 180
5x = 180 - 20
5x = 160
x = 160/5
x = 32
estimate the product of 26.4×2.7
Answer:..
Step-by-step explanation:
Answer:
Step-by-step explanation:
okay, 26.4*2.7 = 26*3 (when estimated)
26*3=78(or just somewhere around 70)
A tile pattern on a wall is made up of two identical parallelograms and three identical triangles.
What is the area of the tile pattern?
Enter your answer in the box.
______
|___| in2 ( i tried my best to do a box)
Answer:
448 in²
Step-by-step explanation:
2 parallelograms = 2x10x14=280
3 triangles = 3x1/2x14x8=168
280+168=448 in²
A person is walking at a rate of 9 feet every 4 seconds.
(b) Given the rate in (a), how far would this
person travel in 14 seconds
Answer:
31.5 feet
Step-by-step explanation:
2.25 feet every second
PLEASE HELP SOLVE THIS WUESTION SOLVE FOR y
Answer:
y = 5
Step-by-step explanation:
12^2 + y = 13^ 2
144 + y = 169
169 - 144 = 25
sqrt of 25 = 5
y = 5
Answer:
A, y=5
Step-by-step explanation:
I just did it right now
1.7 m+ 3.7 m +3.7 m +3 m +5.9 m
answer:
18 m
step-by-step explanation:
simply add up all the numbers given1.7 + 3.7 + 3.7 + 3 + 5.9 = 18 then, put the units givenAnswer:
18m
Step-by-step explanation:
(1.7 + 3.7 + 3.7 + 3 + 5.9)m = 18m
Hope that helps!
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
Like normal, explain your answer and work.
Answer:
A. AB/BC = FE/EDStep-by-step explanation:
Parallel lines divide the transversals proportionally.
Correct choice is A only, the other options concern the parallel lines themselves:
A. AB/BC = FE/EDSolve 15 < 4x on a number line
Answer:
that shall answer 15 < 4x on a number line
Step-by-step explanation:
view image for more clarity
BEST GETS BRAINLIEST PLS HELP I JUST NEED CONFIRMATION THAT I GOT IT RIGHT
Answer:
that is correct nice job!
Answer:yuh youre right
Step-by-step explanation: