Following are simplifications to the given expression:
Given:
[tex]\bold{(3x-1)(x-3)}[/tex]
To find:
simplify=?
Solution:
[tex]\to \bold{(3x-1)(x-3)}\\\\\to \bold{(3x^2-9x-x+3)}\\\\\to \bold{(3x^2-10x+3)}\\\\[/tex]
Therefore, the final answer is "[tex]\bold{3x^2-10+3}[/tex]".
Learn more:
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Does anybody know the answer to this question f(x)=x^3-x^2-10x-8
Answer:
(X+1) (x - 4) (x+2)
Step-by-step explanation:
All the coefficients are integers so apply the rational zeros theorem.
The coefficient of x^3 is 1.
Divide (x^3-x2-10x-8)(x+1) = x^2-2x-8 with remainder = 0
The remainder is 0. (x+1) is a factor.
(x + 1) ( x^2 - 2x - 8)
x^2 - 2x - 8 (-4 * 2= 8) and -4 + 2 = -2)
= (x -4) (x+2)
What is m if 14 + 9m = -13
Answer:
-3m
Step-by-step explanation:
everyone knows we should take the unknown letter to a one side and numbers to another side.
so first ;
9m + 14 = -13
9m = -13 - 14
9m =-27
9m/9 = -27 / 9
m = -3
-3 is the finale answer
4x – 3y = -7
5x – 4y = - 8
The answer is x=−4 and y=−3
Evaluate the expression when x=-4. X^2+5x+7
Answer:
-29
= -16 + 5(-4) + 7
=16 - 20 + 7
=-29
12 lightbulbs are tested to see if they last as long as a manufacturer claims they do three lightbulbs failed a test two light bulbs are selected at random without replacement find the probability that both light bulbs failed the test
Using the hypergeometric distribution, it is found that there is a 0.0455 = 4.55% probability that both light bulbs failed the test.
The bulbs are chosen without replacement, and this is why the hypergeometric distribution is used to find the probability.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
12 bulbs, thus [tex]N = 12[/tex]3 failed the test, thus [tex]k = 3[/tex].2 are selected, thus [tex]n = 2[/tex].The probability that both failed the test is P(X = 2), thus:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,12,2,3) = \frac{C_{3,2}C_{9,0}}{C_{12,2}} = 0.0455[/tex]
0.0455 = 4.55% probability that both light bulbs failed the test.
A similar problem is given at https://brainly.com/question/24826394
what is the first natural number
A.0 B.1. C.-1
Answer:
1
Step-by-step explanation:
1 is the first natural number because 0 is not a natural number.
All natural numbers are numbers from 1 onward.
Ex. 1.2.3.4.5.6...
Use a property of equality to solve this equation:
4.5x = 18
x =
Answer:
4
Step-by-step explanation:
x= 18÷4.5=4
hope it helps
fast films video allows you to rent up to 6 movies a month for a flat rate of $17.75. videos by mall allows you to rent up to 8 movies for $25.00. which company offers the better value
Answer:
The second company offers better value
Step-by-step explanation:
$17,75 / 6 = ~$2,96
$25 / 8 = ~$3,13
Viola makes gift baskets for Mother’s Day. She has 13 baskets left over from last year, and she plans to make 5 more each day. If there are 15 work days until the day she begins to sell the baskets, how many baskets will she have to sell? I can't find the rule of the equation.
Answer:
88 blankets
Step-by-step explanation:
5 times 15 = 75
75 + 13 = 88
Find the measures of the angles of a right triangle with one angle whose measure is 10
Answer:
10, 80 and 90 degrees.
Step-by-step explanation:
The third angle will 90 - 10 = 80 degrees.
What are the coordinates of each vertex if the figure is rotated 90° counterclockwise about the origin?
A. A'(-2, 2), B'(-5. - 2). C'(-3, -6),D (3,-4)
B. A' (2, – 2), B' (5,2), C'(3,6). D(-3,4)
C. A'(-2, – 2),B'(-5,2),C'(-3, 6),D(3,4)
D. A'(2, 2), B'(5,- 2),C'(3,-6),D'(-3,-4)
Answer:
sorry wont let me click off this question so so so sorry
Step-by-step explanation:
hope u do really well
69632 + 69469 - 59303
Answer: 79798
Step-by-step explanation:
139101 - 59303
= 79798
please give me a brainliest answer
Answer:
79798
Step-by-step explanation:
69632
+ 69469
= 139101
- 59303
= 79798
Hope this helps :)
IF YOU CAN ONLY ANSWER ONE ITS OKAY
Find the slope of a line perpendicular to each given line.
13) -3y = 9 - 4x
14) -y - 1 = 6 x
13. M=4/3
14. m=-6
Step-by-step explanation:
A water ballon is launched straight up. The balloons flight is modeled by the function h(t)=16t^2+192t
Answer:Step by Step Solution
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
h*(t)-(16*t^2+192*t)=0
STEP
1
:
Equation at the end of step 1
ht - (24t2 + 192t) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
ht - 16t2 - 192t = t • (h - 16t - 192)
Equation at the end of step
3
:
t • (h - 16t - 192) = 0
STEP
4
:
Theory - Roots of a product
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
4.2 Solve : t = 0
Solution is t = 0
Equation of a Straight Line
4.3 Solve h-16t-192 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line h-16t-192 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000
t-intercept = 192/-16 = 12/-1 = -12.00000
Calculate the X-Intercept :
When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000
h-intercept = 192/1 = 192.00000
Calculate the Slope :
Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.125/2.000 = 0.062
Geometric figure: Straight Line
Slope = 0.125/2.000 = 0.062
h-intercept = 192/1 = 192.00000
t-intercept = 192/-16 = 12/-1 = -12.00000
t = 0
Step-by-step explanation:
Find the equation for the line that passes through the points (1, 1) And (3, 5)
Answer:
y = 2x - 1
Step-by-step explanation:
Slope = (5-1) / (3-1) = 4/2 = 2
y-intercept = 1 - (2)(1) = - 1
y = 2x - 1
ggle is saying the wrong answer, anyone can help??
Answer:
X=2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
I am pretty good at math.
pythagorean theorem help meeeeee!!
Answer:
25
Step-by-step explanation:
remember that the pythagorean theorem is a²+b²=c²
so this equation would be:
7²+24²=c²
solve the exponents
49 + 576 = c²
combine like terms
625 = c²
take the radical of each number
√625 = √c²
25 = c
have a lovely day <3
(25 points) Ratio question
If you mix blue and yellow paint in different ratios, you will get different shades of
green paint. If the ratios are equivalent, the shades of green will be the same.
- Clare mixed a batch of green paint using 8 cups of yellow paint and 5 cups of blue paint. Jada mixed another batch of green paint using 6 cups of yell paint and 4 cups of blue paint.
Are these two batches the same shade of green?
Yes
or
No
Answer:
No
Step-by-step explanation:
Answer:
No, it will not be the same shade of green.
Step-by-step explanation:
For the shade of green to be equivalent that person would need both of the proportions to be equal weather it is 6/4 and 12/8 or 8/5 16/10.
The ratios 8/5 and 6/4 do not match therefore the green the batches make will not be equal.
I hope this helps :D
Which ordered pairs are solutions to the inequality 2x +y > -4? Select each correct answer. (0, 1) (-3,0) (4 – 12) (-1, -1) (5,- 12 )
Answer:
(5,-12)
(-3,0)
(-1,-1)
Step-by-step explanation:
For (4, −12): 2(4) - 12 = 8 - 12 = -4 [false]
For (−3, 0): 2(-3) = -6 < -4 [false]
For (5, −12): 2(5) - 12 = 10 - 12 = -2 > -4 [true]
For (0, 1): 2(0) + 1 = 1 > -4 [true]
For (−1, −1): 2(-1) - 1 = -2 - 1 = -3 > -4 [true]
Therefore, (5, -12), (0, 1) and (-1, -1) satisfies the inequality 2x + y > -4
For (7, 12): 12 - 2(7) = 12 - 14 = -2 > -3 [false]
For (0, −2): -2 - 2(0) = -2 > -3 [false]
For (5, −3): -3 - 2(5) = -3 - 10 = -13 < -3 [true]
For (−6, −3): -3 - 2(-6) = -3 + 12 = 9 > -3 [false]
For (1, −1): -1 - 2(1) = -1 - 2 = -3 [true]
Therefore, (5, -3) and (1, -1) satisfy the inequality y - 2x ≤ -3
The situation is represented by 2.25x + 2.65y ≥ 8
I need so.e help with this
Answer:
(3,7) is not a solution
Step-by-step explanation:
You fill in the values x=3 and y=7 in both equations and see if you end up with something that is true.
-5·3 - 2·7 = 23 is not true, because it simplifies to -29 = 23
no need to look further, but if you would, the second equation is also false:
3 + 4·7 = -19 is also not true.
The real solution by the way is (-3, -4).
Select all that apply. To create perpendicular lines, I can transform a line by:
1. Rotating the line 270° around any point.
2. Translating the line horizontally.
3. Rotating the line 45° around any point, then rotating it another 45° around any point.
4. Translating the line vertically.
5. Reflecting the line over itself.
6. Rotating the line 45° around any point.
7. Reflecting the line over any point on the line.
8. Rotating the line 90° around any point.
Answer:
8. Rotating the line 90° around any point.
Step-by-step explanation:
Perpendicular lines intersect each other at a right angle. Therefore, the transformation should create an image that intersects the preimage at an angle of 90∘. Since a rotation changes the angle between the preimage and the image, it can create perpendicular lines.
Use the Pythagorean Theorem to find the distance between the point (1,4) and (-5,-4) on the coordinate plane? (FREE RESPONSE)
PLZ I NEED IT RIGHT NOW
Answer:
hope this helps
PLEASEEEEEE HELPPPPPPPPP
[tex]5x + 3 = - 9 \\ = > 5x = - 9 - 3 \\ = > 5x = - 12 \\ = > x = \frac{ - 12}{5} \\ = > x = - 2 \frac{2}{5} [/tex]
Answer:Option A .
[tex] - 2 \frac{2}{5} [/tex]
Which functions have graphs that are steeper than the graph of f(x) = -3x2 ? Select each correct answer.
Answer:
the answer would be:
g(X)
and
m(X)
Step-by-step explanation:
make me as Brainliest sorry if I am wrong
Solve.
−712x=3.85
Enter your answer as a mixed number in simplest form in the box
Answer:
The answer is -6 3/5! Hope this helps you.
please help me
An Uber driver charges $5.00 per mile driver, and $3.50 to pick up a rider.
Part A: Write a function rule for the total cost for n cost to take an Uber.
Part B: How much does a 20 mile trip cost?
Part C: Does a 10 mile trip cost half as much as a 20 mile trip cost? Explain.
Answer:
1) y=3.5+(5•x)
2) 103.5
3) No, because 5•20 is 100 and 5•10 is 50, BUT with both you still have to add 3.5 no matter what because of the $3.50 to pick up the rider
Answer:
im gonna go with c
Please help! I need help T-T
Answer:
$130.00
Step-by-step explanation:
674-284=390
390/3=130
what that person said :(
a person buys 6 bags of chips for 18 dollars. How much is it per bag
Answer:
hope it helps you..........
What is the slope of the line shown?
Answer:
m=-2/-1 or m=-2
Step-by-step explanation:
Find two points on the line, then use this formula: m=rise/run or m=y2-y1/x2-x1
m=0- 2/-3-(-2)
m=-2/-1 or m=-2
HELP WILL MARK BRAINLIEST
Answer:
3*3*3-1*1
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
3x3=9
1x2=2
so 9-2=7