Answer:
x = -5/2 x=1 x = -1
Step-by-step explanation:
p(x) = 2x^3 + 5x^2 – 2x – 5
Use factor by grouping
p(x) = 2x^3 + 5x^2 – 2x – 5
Factor x^2 from the first group and -1 from the second group
x^2(2x +5) -1( 2x+5)
Then factor out 2x+5
p(x) = (2x+5) (x^2-1)
Factor x^2 -1 as the difference of squares
p(x) = (2x+5)(x-1)(x+1)
Set to zero to find the x intercepts
0 = (2x+5)(x-1)(x+1)
Using the zero product property
2x+5 =0 x-1 =0 x+1 =0
2x = -5 x=1 x=-1
x = -5/2 x=1 x = -1
Answer:
The zeroes are (-1,0), (1, 0) and (-5/2, 0)
Step-by-step explanation:
We can find the zeroes by factoring:
2x^3 + 5x^2 - 2x - 5 = 0
x^2(2x + 5) - 1(2x + 5) = 0
(x^2 - 1)(2x + 5) = 0
(x - 1)(x + 1)(2x + 5) = 0
So x = -1, 1, -5/2.
HELPPPPPPPPPPPP SNOG OR SOMEONE
Answer:
4
Step-by-step explanation:
We see that a point is (1, 4) so the answer is 4/1 = 4.
Hey there! :)
Answer:
Second choice: 4.
Step-by-step explanation:
The constant of proportionality is also the slope, or rate of change. The slope formula can be used to solve this problem:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in points from the graph into the equation.
[tex]m = \frac{4 - 0}{1 - 0}[/tex]
m = 4.
Therefore, the constant of proportionality is 4.
A cell phone bill provider offers a plan that costs $20 per month plus $0.10 per text message sent or received. A comparable plan costs $30 per month but offers unlimited text messaging. How many texts would have to be sent or received in order for the plans to cost the same each month
Answer:
100 texts
Step-by-step explanation:
20+.1x=30
30-20=10
10 dollar difference in base prices.
10/.1 (to find out how many texts)
100 texts
Gabriella drives her car 400 miles and averages a certain speed. If the average speed had been 7 mph less she could have traveled only 350 miles in the same length of time what is her average speed
Answer:
Gabriella's average original speed was 56 [tex]\frac{mi}{h}[/tex]
Step-by-step explanation:
Let's use the equation that defines the average speed "v" of Gabriella during the time (t) that her trip took:
[tex]v = \frac{distance}{time} \\v=\frac{400}{t}[/tex]
Next let's write a similar average speed equation for the case in which she drove at (v - 7 mi/h) during the same time "t" and covered 350 miles:
[tex](v-7)=\frac{350}{t}[/tex]
Notice that the time "t" in the denominator appears equally in both equations we wrote, so let's isolate them on the right:
[tex]\frac{v}{400} =\frac{1}{t} \\and\\\frac{(v-7)}{350} =\frac{1}{t}[/tex]
now equal both expression since they both share the same value on the right, and solve for the unknown "v":
[tex]\frac{v}{400} =\frac{(v-7)}{350} \\350\,v=400\,(v-7)=\\350\,v=400\,v-2800\\2800=50\,v\\v=\frac{2800}{50} \,\,\frac{mi}{h}\\v=56\,\,\frac{mi}{h}[/tex]
Please could someone help me?
Answer:
a) square numbers
b) 9
Step-by-step explanation:
A square number is a number that can be made by multiplying a whole number by itself(49 is a square number because 7*7=49, 64 is a square number because 8*8=64). The square root of 36 is 6. The square root of 25 is 5. The square root of 16 is 4. Thus, following the pattern, the square root of 9 is 3.
Hope it helps <3
Graph the relation shown in the table. Is the relation a function? Why or why not? {(-1, 9), (0, -1), (-1, 4), (4, 9)}
Answer:
Not a function
Step-by-step explanation:
For an equation to be a function, there should be only one y-coordinate per x-coordinate. Since this relation has both (-1,9) and (-1,4), this is not a function.
Answer:not a function
Step-by-step explanation:
because when you put the points on the coordinate plane your shape will come out as a v shaped object. In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers
Rsm problem pls help me
Answer: (originally answered by DeanR so credit to him)
x=6
Step-by-step explanation:
x3579x = 100000 x + 35790 + x
100000 = 2380 × 42 + 40
35790 = 852×42 + 6
Working mod 42,
100000 x + 35790 + x = 40 x + 6 + x = 41x + 6 = 6-x (mod 42)
So basically we need 6-x to be a multiple of 42, so between 0 and 9 that's x=6.
So our number is
635796 = 15138 × 42
Answer:
x=6
Step-by-step explanation:
All of the factors of 42 under are only 7 and 6. Substitute one of them for x. 7 is wrong so 6 is the answer.
Red 13 Silver 34 Black 25 White 10 Blue 8
Estimate the number of white cars you would expect to see if 4000 cars passed by?
Answer:
444
Step-by-step explanation:
13 + 34 + 25 + 10 + 8 = 90
10/90 * 4000 = 444
Answer: You will expect 444 white cars passed by.
Step-by-step explanation:
The are 5 different colors so we need to find the probability of white cars.
There are 10 white cars But we need to find the total number of cars in all.
13+34+25+10+8 = 90
so the probability of a white car passing by is 25/90 = which reduces to 10/90
Now multiply 1/9 by 4000.
1/9 * 4000 = 444
help me out??????? :)
Answer:
i think it might be c but im not sure
****WHO ANSWER WILL BE THE BRAINLIEST****
In circle D, which is a tangent to the circle? *
FE
AB
DC
GBE
Answer:
AB
Step-by-step explanation:
A tangent is a line that touches a circle but never goes through it. Wherever the the tangent touches is called the point of tangency and creates a perpendicular bisector (90° angle).
Answer:
AB
Step-by-step explanation:
A tangent to a circle is a straight line that touches the circle at only one point.
On one day in January, the temperature in Milwaukee, Wisconsin fell 12°F from the high temperature to a low temperature of -8°F. If t represents the high temperature, what is the value of t?
Answer:
t = 4
Step-by-step explanation:
you have -8 and twelve you equation is x -12 = -8 so we just have to flip the equation around to make it x = 12 -8 which is easy . You just have to make sure you don't get mixed up while flipping the signs.
The value of t is 4.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
The temperature in January = 12 °F
And the low temperature is = -8 °F
The equation of temperature t can be given as
t= high temperature + low temperature
t= 12 - 8
t=4
The value of t is 4.
To know more about Equation on:
https://brainly.com/question/187506
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A simple random sample of 25 items from a normally distributed population resulted in a sample mean of 28 and a standard deviation of 7.5. Construct a 95% confidence interval for the population mean.
Answer:
CI = 28 ± 3.09
Step-by-step explanation:
The sample size, n = 25
The sample mean, m = 28
Standard deviation, s = 7.5
Confidence interval is given as:
CI = Sample mean ± margin of error
We want to find 95% confidence level:
First, let us find the margin of error:
Margin of error = Critical value * standard error
To find the critical value, we need some parameters:
Standard error = [tex]s / \sqrt{n}[/tex]
=> [tex]SE = 7.5 / \sqrt{25}= 7.5 = 5 = 1.5[/tex]
The alpha value, ∝ = 1 - (confidence level / 100) = 1 - 95/100 = 1 - 0.95 = 0.05
Critical probability, p, is given as:
p = 1 - ∝/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975
Now we need the degree of freedom:
df = n - 1 = 25 - 1 = 24
Therefore, the critical value is 2.06 (you can use an online t value calculator).
=> Margin of error = 2.06 * 1.5 = 3.09
Therefore, the confidence interval for the population mean is:
CI = 28 ± 3.09
Hi, i need help with this question. Thank you so much if you decide to help me :3
Answer:
We can split this into ∛8 * ∛n⁹. ∛8 = 2 and ∛n⁹ = n³ so the answer is 2n³.
Answer:
2n^3
Step-by-step explanation:
a=3 and b=4
b/2 ÷ 2 + (a2 - 1)
if a = 3 and b = 4, then:
4/2 ÷ 2 + (3^2 - 1)
2 ÷ 2 + (3^2 - 1)
1 + (9 - 1 )
1 + (8)
9
Please vote Brainliest if this helped you!
Answer:
Step-by-step explanation:
a = 3 & b = 4
b/2 ÷ 2 + (a² - 1) = 4/2 *1/2 + (3² -1)
= 1 + (9-1)
= 1 + 8
=9
A tree DOUBLES in height each year until it reached its maximum height over the course of 10 years. How many years did it take for the tree to reach HALF its maximum height?
Answer:
9 years
the tree doubles in height
we can make a model
1 x 2 = 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 x 2 = 512
512 x 2 = 1024
Let's say 1024 is the maximum height
half the maximum height is 1024 x 0.5 = 512 so it will take 9 years because it reached 512 on the 9th year
Step-by-step explanation:
Which of the following is a complex number?
You'll be disappointed to find out these are *all* complex numbers, because the set of real numbers is a subset of the complexes.
Probably the question means to ask, "which of these numbers is strictly non-real?" in which case D would be the answer because it contains the square root of a negative number that introduces the imaginary unit i. All the other options are strictly real numbers.
this is math can someone help pls a floppy disk can store 1440000 bytes of data. write the number 1440000 in standard form........ i would be grateful if u can help
Answer:
1.44×10^6 is the standard form
Step-by-step explanation:
i hope this will help you :)
In the first week of July, a record 1 comma 100 people went to the local swimming pool. In the second week, 125 fewer people went to the pool than in the first week. In the third week, 145 more people went to the pool than in the second week. In the fourth week, 185 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks? The percent decrease of people who went to the pool is __ %
Answer:
41.36% decrease
Step-by-step explanation:
Since it told us that the total amount of people was 1,100 people, we know our percentage is going to have to be x/1100.
We calculate how many less people came to the pool after the weeks have passed, which totals up to 455 people (455 people decrease).
So,
455/1100 = 0.413636 or 41.36% decrease.
Answer:
60
Step-by-step explanation:
Simplify 36y/6+y+2*4y
Answer:
Divide the numbers 36/6 = 6
= 6y + y + 2 * 4y
Multiply the numbers 2 * 4
= 6y + y + 8y
Add like terms
= 15y
(I know it's a bit late, but I hope this still helps.)
Check all of the infinite geometric series that converge.
135 – 405 + 1,215 – 3,645 + . . .
Answer is B &C
Answer:b and c
Step-by-step explanation:
will give BRAINLY, EASY question, please help ASAP! Please explain your answer! Calculate the area of the block "V" shown below. *Drawing not to scale
Answer:
Answer is 117.86 mm^2
Answer is given below with explanations.
Step-by-step explanation:
[tex]in \: the \: figur \: there \: are \: two \: parllelograms \\ intersecting \: a \: triangle \\ area \: of \: 1 \: parallelogram \: = \: bh \: \\ here \: base\: (b) = 20 \:mm \: \: an d \: height \: (h) = 4 \: mm \\ area \: of \: 1 \: parallelogram \: = 20 \times 4 \\ \: \: = 80 \: {mm}^{2} \\ area \: of \: 2 \: parallelogram \: = bh \\ here \: base \: (b) = 32 \: mm \\ height \: (h) = 2 \: mm \\ area \: of \: 2 \: parallelogram \: = 32 \times 2 \\ \: \: = 64 {mm}^{2} \\ in \: the \: v \: shaped \: figure \: there \: s \: a \: triangle \\ area \: of \: triangle \: is \: calculated \: using \: \\ heron \: s \: formula \\ area \: of \: triangle \: = 26.14 \\ area \: of \: v \: block \\ = area \: of \: 1 \: parallelogram \: + area \: of \: 2 \: parallelogram \: - area \: of \: triangle \\ = 80 + 64 - 26.14 \\ \: \: = 117.86 \: {mm}^{2} [/tex]
HAVE A NICE DAY!
Find the exact value by using a half-angle identity. cosine of pi divided by twelve
Answer:
The answer is C.
Step-by-step explanation:Th answer is C because you identify pi and devide it 12 which gives you the answer is which is C.
Answer:
[tex]\frac{1}{2} \sqrt{2+\sqrt{3}[/tex]
Step-by-step explanation:
just took the test
simplifica: 49/90, se puede????
Answer:
49/90 is simplified
Step-by-step explanation:
Answer:
Step-by-step explanation:
49/90
A librarian has 4 times as many mysteries than romances. She lends out 12 mystery books. How many mystery books she have now if she started with 15 romances?
Answer:
48
Step-by-step explanation:
Form an equation to help you solve this problem.
A school bus is full as it sets off. At the first stop 3 children get off and at the next stop a third
of the remaining children get off, leaving the bus only half full.
How many children were on the bus at the start?
Answer:
12
Step-by-step explanation:
If there are x children on the bus at the start, after the first stop, there are (x-3) remaining. After two stops, the number on the bus is ...
x/2 = x -3 -(1/3)(x -3)
Multiplying by 6, we have ...
3x = 6x -18 -2(x -3)
3x = 4x -12 . . . . simplify
12 = x . . . . . . . . add 12-3x
There were 12 children on the bus at the start.
_____
Check
After 3 got off at the first stop, there were 12-3 = 9 remaining. 1/3 of those, or 9/3=3 got off at the second stop, so 9 -3 = 6 remained. This is half the original number, as required.
Work out the mean for the data set below:
4004, 4009
Answer:
4006.5
Step-by-step explanation:
4004 + 4009 = 8013
8013 ÷ 2 = 4006.5
Answer:
Hey!
Your answer is 4,006.5
Step-by-step explanation:
We get the MEAN by ADDING ALL THE VALUES UP and DIVIDING IT BY THE TOTAL AMOUNT OF SEPERATE NUMBERS!
So...
4,004 + 4,009 = 8,013
WE DIVIDE 8,013 BY 2...
8,013 / 2 = 4006.5!
Hope this helps!
Factor completely 3x4 − 48
Answer:
[tex]3(x - 2)(x + 2)( {x}^{2} + 4)[/tex]Step-by-step explanation:
[tex] 3{x}^{4} - 48[/tex]
Factor out 3 from the expression:
[tex]3( {x}^{4} - 16)[/tex]
Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex],factor the expression
[tex]3(( {x}^{2} ) ^{2} - {(4)}^{2} )[/tex]
[tex]3( {x}^{2} - 4)( {x}^{2} + 4)[/tex]
Again, factor using the formula of [tex] {a}^{2} - {b}^{2} [/tex]
[tex]3(x - 2)(x + 2)( {x}^{2} + 4)[/tex]
Hope this helps...
Good luck on your assignment...
Answer:
3(x − 2)(x + 2)(x2 + 4)
Step-by-step explanation:
Took the quiz and got it right hope this helps :) , you can check out the other answer for explanation.
11. Write the equation of the line in slope-intercept form that is parallel to the line y = - 4x + 2 and
passes through (2-4)
Answer:
y= -4x
Step-by-step explanation:
hope this helps and lmk if you need anything!
The segments shown below could form a triangle.
By the Triangle Inequality Theorem, the sum of two sides should be greater than the length of the third side, while the difference of these two sides should be less than the length of this third side. Normally you would take the absolute value of the difference of these two side as you wouldn't know which is greater than the other!
The simplest way to prove whether these line segments can form a triangle, is by going against this theory. Let us prove that the line segment don't form a triangle. As you can see, adding 7 and 1 is greater than 1, respectively 7 and 7 is greater than 1. Thus -
Solution = A. True
which of the following is equivalent to the expression i^57. A.i B.1 C.-1 D.-i
Answer:
A: i
Step-by-step explanation:
i^57=i use the calculator
3/7 of which is 2 1/14
Answer:
4 and 5/6; 29/6.
Step-by-step explanation:
3/7 of x is 2-1/14.
(3/7)x = 29/14
x = (29/14) * (7/3)
x = (29/2) * (1/3)
x = 29/6
3/7 of 4 and 5/6 is 2 1/14.
Hope this helps!
Answer:
29/6
TRUST ME IT'S RIGHT!