Answer:
Daniel is correctStep-by-step explanation:
Given the polynomial P(x) = x^2-3x-10
To check that the remainder is zero if divided by x - 5, we will first have to equate x - 5 to zero and get x;
x - 5 = 0
x = 5
Then find P(5)
P(5) = 5^2 - 3(5) - 10
P(5) = 25 - 15 - 10
P(5) = 25-25
P(5) = 0
This shows that x - 5 is a factor of the polynomial since P(5) gave us zero according to the factor theorem
9
8
a
+
4
8
a
−
5
8
8
9
a+
8
4
a−
8
5
A
138a−58
8
13
a−
8
5
B
58a−58
8
5
a−
8
5
C
811a+14
11
8
a+
4
1
D
78a+85
8
7
a+
5
8
If m< XYZ= 136, solve for x
Answer:
x = 3
Step-by-step explanation:
We'd apply some properties of rhombus.
m<RZT = (10x - 8)°
m<ZRY = 90° (diagonals bisect at 90°)
m<ZYR = ½(m<XYZ) = ½(136) = 68°
m<RZT + m<ZRY + m<ZYR = 180° (sum of ∆)
(10x - 8) + 90 + 68 = 180
Solve for x
10x - 8 + 90 + 68 = 180
10x + 150 = 180
10x = 180 - 150 (subtraction property of equality)
10x = 30
Divide both sides by 10
x = 3
The value of x is 3
The calculation is as follows:m<RZT = (10x - 8)°
m<ZRY = 90° (diagonals bisect at 90°)
m<ZYR = ½(m<XYZ) = ½(136) = 68°
Now
m<RZT + m<ZRY + m<ZYR = 180° (sum of ∆)
(10x - 8) + 90 + 68 = 180
10x + 150 = 180
10x = 30
x = 3
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Help please! What are the matches?
Answer:
2y-6=x goes with 3rd one which is y=2x+6,
Answer:
1 >>4
2>>1
3>>3
4>>2
Step-by-step explanation:
1 - 2y-6 =x then y=(1/2)x +3
2 - 3y = -6 -x then y = (1/3)x + 2
3 = (1/2)y = 3 +x then y = 2x + 6
4 - 2x + y = 3 then y = -2x + 3
WHAT’S 6 divided by 1 over 3?
Answer:
18
Step-by-step explanation:
6 divided by 1/3 is the same as 6x3 because you flip the second fraction when dividing fractions.
(1.2: Solving linear equations) Consider the linear system2x1+ 3x2−5x3=b17x1+ 2x2+ 8x3=b2−x1+x2−5x3=b3(a) Find the echelon form of the augmented matrix of the above system.(b) Find the conditions onb1,b2,b3for which this system has a solution.(c) Do you see the shape of the points (b1,b2,b3) for which the above system has asolution?(d) If you randomly pick
Answer:
Echelon form of augmented matrix [tex]\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&0&\frac{-10}{3} &b_3-2\frac{b_1}{6} \end{matrix}\right][/tex]
Step-by-step explanation:
We have, linear systems
[tex]2x_1+3x_2-5x_3=b_1[/tex]
[tex]17x_1+2x_2+8x_3=b_2[/tex]
[tex]-x_1+x_2-5x_3=b_3[/tex]
[tex](a)[/tex] Find the echelon form of the augmented matrix.
Firstly we find the augmented matrix (A) of the given linear system
[tex]A=\left[\begin{matrix} 2&3&-5&b_1\\17&2&8&b_2\\-1&1&-5&b_3\end{matrix}\right][/tex]
Now find the echelon form
[tex]=\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&\frac{5}{2} &\frac{-15}{2} &b_3+\frac{b_1}{2} \end{matrix}\right]^{R_2\rightarrow \frac{17}{2}R_1, R_3\rightarrow R_3+\frac{1}{2}R_1 }[/tex]
[tex]=\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&0&\frac{-10}{3} &b_3-2\frac{b_1}{6} \end{matrix}\right]^{R_2\rightarrow R_3-\frac{5}{6}R_1 }[/tex]
[tex](b)[/tex] From above echelon form of augmented matrix system is consistent .
So, system has always a solution exist for every condition of [tex]b_1,b_2, b_3[/tex]
[tex](c)[/tex] Yes, If we take point [tex](0,1,1)[/tex] then system of linear equation has exist a solution.
[tex](d)[/tex] yes, if pick randomly [tex]b_1,b_2, b_3[/tex] then always exist a solution of given system of linear equation.
What is the missing number in the series?
1, 16, 81, __, 625, 1296
Answer:
256
Step-by-step explanation:
We are given the series
1, 16, 81, __, 625, 1296
The missing number in the sequence is the fourth term
From the above sequence, we know that
1, 4², 9² , __, 25² , 36²
Difference between first term = 4 - 1 = 3
9 - 4 = 5
x - 9 = 7
x = 9 + 7 = 16
Hence, the fourth term = 16²
= 256
Please help fast!!!
Select the point on the graph.
Which point represents the x-intercept of this exponential function?
Answer:
(3,0)
Step-by-step explanation:
the x-intercept is the point when the line touches the x-axis. (3,0) is this point, we can see it in the graph.
Answer:
(3,0)
Step-by-step explanation:
It crosses the x-axis
PLEASE HELP
Where is this function decreasing?
The function is decreasing from x = □ to x = □
Answer:
The function is decreasing from x=1 to x=8
Step-by-step explanation:
fine the lower and upper quartiles and interquetile range.
5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71.
Answer:
Lower Quartile = 25.5
Upper Quartile = 61.5
IQR = 36
Step-by-step explanation:
Given data is:
5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71
The lower quartile is the first quartile and upper quartile is the third quartile.
A median divides the data set in two equal halves.
Lower quartile also known as first quartile is the middle value in the first half.
The first half is:
5, 12, 17, 23, 28, 31, 37, 41
As the number of values is even, the quartile will be the average of two middle values
[tex]Q_1 = \frac{23+28}{2} =\frac{51}{2}= 25.5[/tex]
Upper quartile is the average of middle two values in the second half when the number of values is even.
42, 49, 54, 58, 65, 68, 73, 71
[tex]Q_3 = \frac{58+65}{2} = \frac{123}{2} = 61.5[/tex]
Interquartile range is the difference of third quartile and first quartile
[tex]IQR = Q_3 - Q_1 = 61.5-25.5=36[/tex]
Hence,
Lower Quartile = 25.5
Upper Quartile = 61.5
IQR = 36
how do I I find people that need help and so then I can answer them
Answer:
you make a account then go down and look for somthing you want ro answer
Step-by-step explanation:
hope this helps
In A ABC, AB = 51 cm, BC = 52 cm and CA = 101 cm, then find the area of A ABC,
Step-by-step explanation:
sorry..by any chance if my answer is incorrect
Ayden’s school took a field trip. A total of 32 vehicles were needed for the trip. Some students took the bus, and some students car-pooled. There were 27 people on each bus and 3 people in each car. 408 people altogether attended the trip. How many buses and cars were needed for the trip?
Step-by-step explanation:
Let x be the number of buses for the trip.
Then (32 - x) is the number of cars for the trip.
We have 27x + 3(32 - x) = 408.
=> 27x + 96 - 3x = 408
=> 24x = 312
=> x = 13
Hence there are 13 buses and (32 - 13) = 19 cars.
Certain machine caps 100 bottles every 40 seconds. At this rate, how many will be capped in a minute?
Answer:
150 will be capped in a minute
help pls! what’s the coordinates?
Answer:
It's (4,5)
Step-by-step explanation:
Hope it helps. Bye
I need help on the attached problem ASAP!
Answer:
[tex]\displaystyle \sin A=\frac{1}{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.
We are given a triangle with side lengths of 3, [tex]\sqrt{72}[/tex], and 9, where 9 is the hypotenuse. Before applying the trigonometric ratios, we must check if the triangle is right, and the Pythagora's theorem is satisfied:
[tex]9^2=3^2+(\sqrt{72})^2[/tex]
81=9+72=81
Now we're sure it's a right triangle, we apply the sine formula:
[tex]\displaystyle \sin A=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
The opposite leg to A is 3, and the hypotenuse is 9, then:
[tex]\displaystyle \sin A=\frac{3}{9}[/tex]
Simplifying:
[tex]\boxed{\displaystyle \sin A=\frac{1}{3}}[/tex]
PLZ PLZ PLZ HELP! What is the 50th term in the arithmetic sequence -6,-1,4...?
What are the potential solutions of In(x^2 - 25) = 0?
Answer:
-3 on edg
Step-by-step explanation:
[tex]\boxed{\boxed{\pink{\bf \leadsto The \ Solution \ of \ the \ given \ equation \ is\ \sqrt{26}\ or \ -\sqrt{26}}}}[/tex]
Step-by-step explanation:We need to find the solution of the given logarithmic equation. So the given equation is ,
[tex]\bf \implies ln ( x^2-25) = 0 [/tex]
Using the Properties of log we can write this as ,
[tex]\bf \implies e^{ln(x^2-25)} = e^0 \:\:\bigg\lgroup \red{\bf Here \ e \ is \ Euler's \ Number }\bigg\rgroup \\\\\bf\implies x^2-25 = e^0 \\\\\bf\implies x^2-25 = 1 \\\\\bf\implies x^2=25+1\\\\\bf\implies x^2=26 \\\\\bf\implies x = \sqrt{26} \\\\\bf\implies\boxed{\red{\bf x = \sqrt{26},-\sqrt{26}}}[/tex]
Hence the Solution of the given equation is √26 or -√26.You borrow 15,000 for three years at 10% how much will you owe in interest only
Answer:
4500
Step-by-step explanation:
15000/10 is 1500, 1500 x 3 = 4500
How many eighths are there in 2?
Answer:
16
Step-by-step explanation:
eighths are 1/8 therefore there are 8 eighths in one,
1 x 2 is 2
8 x 2 is 16
therefore there are 16 eighths in 2
Answer:
Step-by-step explanation:
1 pizza has 8 slices
2 pizzas has 16 slices
i think it is easier to remember like this
Jennifer has watched 42 minutes of a movie, which is 20% of the movie. What is the total length in minutes of the movie?
Answer:
210
Step-by-step explanation:
20% is equal to 1/5
5*42 = 210
The movie is 210 minutes.
Answer: 210
5 x 42 = 210
A pediatrician plotted the heights and weights of 9 random kids that came through her office. Which coordinate point represents the kid who is 45 pounds? A) (45, 39) B) (38, 45) C) (39, 45) D) (45, 70)
Answer:
45 70
Step-by-step explanation:
Answer:
(45, 70)
Step-by-step explanation:
I need help converting 3/5 into a decimal
Answer:
3.5
Step-by-step explanation:
3/5 in a decimal is 3.5
If job growth in your state is projected to be 2 percent and you have 11,000,000 workers, how many new jobs will be created?
Answer:
5500000
Step-by-step explanation:
I just divided-
You are choosing between two different cell phone plans. The first plan charges a rate of 23 cents per minute. The second plan charges a monthly fee of $49.95 plus 9 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
Answer:
357 minutes
Step-by-step explanation:
I subtracted 9 cents/minute from the 23 cents/minute to get 14 cents to get the difference between the two per minute charges. I then divided the monthly cost of $49.95 by .14 to get 356.79... So if you used 357 minutes in a month, the second plan would be 3 cents cheaper at $82.08 (.09 x 357= 32.13 + 49.95), vs. the first plan costing $82.11 (.23 x 357). At 356 minutes the first plan would still be cheaper.
=
systèmes d'équations suivants. Trouve ensuite sa solution
b) { y = -x + 1
y = -2x - 2
Answer:
Solving the equations we get: x = -3, y = 4
The solution set is: (-3,4)
Step-by-step explanation:
We need to solve the system of equation and find value of x and y
The system of equation given is:
[tex]y = -x + 1\\y = -2x - 2[/tex]
Let:
[tex]y = -x + 1--eq(1)\\y = -2x - 2--eq(2)[/tex]
We would use substitution method.
Put value of y from eq(1) into eq(2) and find value of x
[tex]Eq(2)\;is:\\y=-2x-2\\Put\:y=-x+1\\-x+1=-2x-2\\-x+2x=-2-1\\x=-3[/tex]
So, we get x = -3
Now, for finding value of y, put value of x = -3 into equation 1
[tex]y=-x+1\\Put\:x=-3\\y=-(-3)+1\\y=3+1\\y=4[/tex]
So, we get y=4
Solving the equations we get: x = -3, y = 4
The solution set is: (-3,4)
Simplify
2x + x + x + 2y x 3y x y
Step-by-step explanation:
[tex] \tt{2x + x + x + 2y \times 3y \times y}[/tex]
[tex] \text{Add \: the \: like \: terms : 2x \: + \: x \: + \: x}[/tex]
Like terms are those which have the same base. Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.
⤑ [tex] \tt{4x + 2y \times 3y \times y}[/tex]
[tex] \text{Multiply : 2y, \:3y \: and \: y}[/tex]
⤑ [tex] \tt{4x + 6 {y}^{3}} [/tex]
Since , 4x and 6y³ are not like terms , they cannot be added. And we're done !
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : 4x + 6 {y}^{3}}}}} [/tex]
Hope I helped ! ツ
Have a wonderful day / night ♡
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The questions above.
Answer:
k(3) = 37
Step-by-step explanation:
k(t) = 13t - 2
To find k(3), substitute 3 for t in the expression and evaluate the expression.
k(3) = 13(3) - 2
k(3) = 39 - 2
k(3) = 37
-2⁄3 a − 6 = 12
What does (A) equal?
Answer:
a = -27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-2/3a - 6 = 12
Step 2: Solve for a
Add 6 to both sides: -2/3a = 18Divide -2/3 on both sides: a = -27Answer: a = -27
Step-by-step explanation:
-2/3a - 6 = 12
ADD 6 TO BOTH SIDES
-2/3a = 18
MULTIPLY BY 3 TO BOTH SIDES
-2a = 54
now you want to get the a by itself so DIVIDE BY -2
so... a=-27
If x=3 what is the value of 3ײ
Answer:
27
Step-by-step explanation:
Using Bedmas we have to calculate the x^2 first
Since we know x=3, x^2 = 3^2 = 9
So then, the value would be 3 x 9 = 27
Hope You Found This Helpful :)
A recipe that yields 2 loaves of bread
requires 2.5 cups of flour. Edgar has a bag
that contains 18.75 cups of flour. If he uses
all the flour how many loaves can he make?
Answer:He can make 7.5 loaves i think
Step-by-step explanation: