can someone solve these for me? its factoring trinomials
you can dm the answers on ig as well if you'd like
Answers
Answer:
1.) [tex]\left(x-3\right)\left(x+6\right)[/tex]
2.) [tex]\left(a-3\right)^2[/tex]
3.) [tex]=\left(t+8\right)\left(t-9\right)[/tex]
4.) [tex]=\left(b+7\right)^2[/tex]
Step-by-step explanation:
2.) [tex]=a^2-2a\cdot \:3+3^2[/tex], [tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2[/tex].
[tex]a=a,\:b=3[/tex]
[tex]=\left(a-3\right)^2[/tex]
3.) [tex]=\left(t^2+8t\right)+\left(-9t-72\right)[/tex][tex]=t\left(t+8\right)-9\left(t+8\right)[/tex], [tex]\mathrm{Factor\:out\:common\:term\:}t+8[/tex].
[tex]=\left(t+8\right)\left(t-9\right)[/tex]
Related Questions
The following is a data set of five quiz scores.
92, 88, 90, 96, 84
What is the mean absolute deviation of the scores?
Answers
Answer:
The mean absolute deviation is 36.8. Hope this was helpful
Step-by-step explanation:
Need the answer to angle 1 angle 2 and angle 3
Answers
Answer:
angle 1= 120 and angle 2 and 3 = 30
Step-by-step explanation:
Answer:
answer is below
Step-by-step explanation:
angle1=120°
[tex]angle2=angle3=\frac{180-120}{2} =30[/tex]°
Pioneer company has given an aptitude test to 71 potential job applicants. The test score had an average of 81 and a standard deviation of 8. Aptitude tests are known to follow a t-distribution. Pioneer rejects the bottom 5% of the applicants right away. The top 5% are hired immediately at managerial positions.
A. What is the degrees of freedom for this distribution?
B. What is the t-score for someone who has scored 93?
C. What is the cutoff score for those who'll be hired as managers?
D. What will be the cutoff score fro those who'll get rejected right away?
E. If we want to define the middle of the class (80%) to be average, what will be the lower cut-off scores?
F. If we want to define the middle of the class (80%) to be average, what will be the upper cut-off scores?
Answers
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
In point A:
[tex]\to df = n - 1 = 71-1= 70[/tex]
In point B:
[tex]\to t = \frac{(x -X)}{s} = \frac{(93-81)}{8} = \frac{12}{8}= 1.5[/tex]
In point C:
For df = 70, the top 5% critical t score
tcrit = 1.666914479
Thus,
[tex]\to 1.666914479 = \frac{(x - 81)}{8}\\\\\to 1.666914479 \times 8 = (x - 81)\\\\\to 13.335315832 = (x - 81)\\\\\to 13.335315832 +81 =x \\\\\to x= 94.335315832[/tex]
In point D:
For df = 70, the top 5% critical t score
tcrit = -1.666914479
[tex]\to -1.666914479 = \frac{(x - 81)}{8}\\\\\to -1.666914479 \times 8= (x - 81)\\\\\to -13.335315832= (x - 81)\\\\\to -13.335315832+81 = x \\\\\to x = 67.664684168\\\\[/tex]
In point E:
The lower cutoff is 0.10 in the center, which would be around 80 %. The critical point therefore is
tcrit = -1.293762898
[tex]\to -1.293762898 = \frac{(x-81)}{8}\\\\\to -1.293762898 \times 8= (x-81) \\\\\to -1.293762898 \times 8= (x-81) \\\\\to -10.350103184=x-81\\\\\to -10.350103184+81=x\\\\\to x=70.649896816[/tex]
In point F:
The lower cutoff is 0.90 in the center, which would be around 80 %. The critical point therefore is
tcrit = 1.293762898
[tex]\to 1.293762898 = \frac{(x-81)}{8}\\\\\to 1.293762898 \times 8= x-81\\\\\to 10.350103184 =x-81\\\\\to 10.350103184 +81=x\\\\\to x = 91.350103184\\[/tex]
The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:
Step 1: 3(3y − 8) = 10 + 3y
Step 2: 6y − 5 = 10 + 3y
Step 3: 3y − 5 = 10
Step 4: 3y = 15
Step 5: y = 5
In which step did the student first make an error and what is the correct step?
Step 2: 9y − 24 = 10 + 3y
Step 2: 6y + 11 = 10 + 4y
Step 3: 6y − 8 = 3(6 + y)
Step 3: 3(3y − 8) = 7 + y
Answers
you don't have to answer them all but help me out !!
Answers
Answer:
1. 10n
2. 3x^2z^2
3. 2(9n^3 - 3n^2 + 3n - 1)
4. (Put the same thing)
5. There are no common factors so it is completely factored out.
Step-by-step explanation:
For 1, you gotta find the gcf of the numbers and the variables. So, the common factor of 90, 70, 70, and -80 is 10. Nothing else greater than 10 divides these numbers. For the variables, only "n" is the GCF, as there is one "n" and all the other numbers have n^2 and etc.
For 2, same thing, you have to find the gcf for the numbers and the variables.
3. same thing ;-; (gcf is 2 btw, nothing divides the variables because 2 has no "n".
4. theres nothing that divides the numbers or the variables. So, the gcf is just 1.
Jennifrr is flying a kite. The kite has an angle of elevation of 51 degrees and us flying on a 40 feet of string. If jennifer is holding the end of the string 6 feet off the ground, how high above thr ground is the kite? 45.6 ft 37.1 ft 54.7ft 31.2 ft
Answers
Answer:
37.1 ft
Step-by-step explanation:
Draw a right triangle with a horizontal side and a vertical side going up from one endpoint of the horizontal side. These two sides form the right angle of the triangle. Then draw a hypotenuse. The hypotenuse has length 40 ft. The acute angle at the end to the horizontal side measures 51°.
Let the length of the vertical side be y.
sin 51° = y/40
y = 40 * sin 51°
y = 31.1
The horizontal side of the triangle is not the ground. It is at the height of Jennifer's hand. Now we add 6 ft to the height.
31.1 ft + 6 ft = 37.1 ft
Answer: 37.1 ft
Reuben will rent a car for the weekend. he can choose one of two plans. the first has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $65 and costs an additional $0.70 per mile driven. How many miles would Reuben need to drive for the two plans to cost the same?
Answers
Answer:
80 miles for the .9 one.
Step-by-step explanation:
A sample of 144 was taken from a population, with the mean of the sample
being 41 and the standard deviation of the sample being 3. What is the 95%
confidence interval for the mean of the population?
A. (38.15, 43.85)
B. (40.625, 41.375)
C. (38, 44)
D. (40.5, 41.5)
Answers
Answer:
the answer is D
Step-by-step explanation:
i got it right and so would you ;)
The confidence interval for the mean of the population is (40.5, 41.5). Option D is correct.
How to calculate confidence interval for population mean ?If the sample size is given to be n >30, then for finding the confidence interval for the mean of the population from this small sample, we use t-statistic.
Then, we get the confidence interval in between the limits;
[tex]\rm CI= \overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}\\\\ CI=41+0.95\times \frac{3}{\sqrt{144} } \\\\ CI= 41+0.7125 \\\\ CI=41.7\\\\ CI=41-0.7125\\\ CI=40.5[/tex]
The confidence interval for the mean of the population is (40.5, 41.5).
Hence,option D is correct.
Learn more about confidence interval refer;
https://brainly.com/question/23008823
#SPJ2
change 7 3/8 from a mixed. number to to an improper fraction
Answers
7
3
8
Step 2 - Multiply
Next, we multiply the whole number by the denominator.
7 x 8 = 56
Step 3 - Add Numerator
Then, we add the numerator to the answer we got in Step 2.
56 + 3 = 59
Step 4 - Solution
Finally, to get the solution, we keep the original denominator and make the numerator the answer from Step 3. Thus, 7 3/8 as an improper fraction is:
59
8
Answer:
59/8
Step-by-step explanation:
Multiply the whole number by the denominator.
[tex]7 * 8 = 56[/tex]
Add the numerator to the product.
[tex]56 + 3 = 59[/tex]
Write the sum over the denominator.
[tex]\boxed{\frac{59}{8}}[/tex]
Hope this helps.
Find the lateral and surface area for the pyramid with a regular base. Where necessary, round to the nearest tenth.
Answers
Answer:
Lateral area -288. Surface area-96
Step-by-step explanation: teacher told me
Select the correct answer,
Factor the given expression,
X2 + 16x + 64
O A. (X + 8)(x-8)
OB. (x+ 16)(x + 4)
Oc. (x+4)?
OD. (x+8)?
Answers
Answer:
(x+8)^2
Step-by-step explanation:
x^2 +16x+64
What two numbers multiply to 64 and add to 16
8*8 = 64
8+8 = 16
(x+8)(x+8)
(x+8)^2
complete the table for the equation
Answers
Answer:
(2,5)
(3,-4)
(4,-7)
(5,-4)
(6,5)
HELP! SIMPLE PROBLEM!
Find the slope m of the line that passes through points (1, 1) and (7, 5)
Answers
Answer:2/3
Step-by-step explanation:
Use a formula to find the are.
Answers
find x, y, and z do not include degrees
Answers
Answer:
x is 64 , y is18 and z is 98
Step-by-step explanation:
these angles are congruent and u get z by adding 64 and 18 then subtracting it for 180 since it makes a straight line
NO LINKS.
12 ÷ x = 36
Find x.
Answers
Answer:
x=1/3 or 0.3
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
Answer:
Solution given:12 ÷ x = 36
x=12/36=1/3 is your answer
find the mean 8,10,7,3,9,6,4,1
Answers
What is the solution to the linear equation?
2/3 x-1/2=1/3+5/6x
O x = 5
0 x = 1 - 2
0 x =
O x=5
Answers
[tex]2.3x - 5.6x = 1.3 + 1.2 \\ - 3.3x = 2.5 \\ - x = 0.75 \\ x = - 0.75[/tex]
i hope it helps u
In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt
Answers
9514 1404 393
Answer:
$12 for each shirt
Step-by-step explanation:
If we let 's' and 't' represent the costs of a shirt and tie, respectively, then we can write the general form equations ...
6s +3t -79.50 = 0
3s +2t -41.00 = 0
The solution for s can be found using the "cross multiplication" technique.
Differences of products can be formed:
d1 = (6)(2) -(3)(3) = 3
d2 = (3)(-41) -(2)(-79.50) = 36
Then we have ...
1/d1 = s/d2 ⇒ s = d2/d1 = 36/3 = 12
The cost of each shirt is $12.00.
___
2 ties cost 41-36 = 5, so each one is $2.50.
_____
Additional comment
The use of simple elimination on this set of equations would eliminate the s-variable, so would mean additional work to find s after finding t. The t-variable could be eliminated by multiplying one equation by one coefficient, and the other by a different coefficient. As long as we're doing that amount of work, we may as well do just enough cross-multiplication to get the one answer we need. This is where the "cross-multiplication" method of solution comes in handy.
This method solves the general-form equations ...
ax +by +c = 0dx +ey +g = 0by considering the two rows of coefficients:
a, b, c, ad, e, g, dThen differences of cross-products are formed in adjacent columns:
d1 = ae -db
d2 = bg -ec
d3 = cd -ga
The solutions are ...
1/d1 = x/d2 = y/d3 ⇒ x = d2/d1, y = d3/d1
7. carmen estimates that deductions from his gross pay will be 25%. assuming the weekly gross pay is $229.22, carmen can expect the weekly paycheck to be $_________.
Answers
Amount of deduction
25% of 229.22229.22/4$57.3Net pay check
229.22-57.3$171.92Answer:
$171.92
Step-by-step explanation:
Given information:
Weekly gross pay = $229.22Gross pay is the pay received before any deductions are taken.
Therefore, if 25% of deductions are taken from the given gross pay, the net pay will be 75%, since 100% - 25% = 75%.
Therefore, to calculate the expected weekly paycheck, find 75% of the gross weekly pay:
75% of $229.22
= 0.75 × 229.22
= 171.915
= $171.92
someone please help me answer this!!
Answers
Answer:
8 units is the answer.
Step-by-step explanation:
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-9)^2 + (-7-1)^2}\\\\d=\sqrt{(0\\)^2+(-8)^2} \\\\d=\sqrt{64} \\\\d=8[/tex]
∴ d = 8 units
A player of a video game is confronted with a series of opponents and has an 80% probability of defeating each one. Success with any opponent is independent of previous encounters. Until defeated, the player continues to context opponents. 1). What is the probability that a player defeats at least three opponents in a game
Answers
Answer:
0.512 = 51.2% probability that a player defeats at least three opponents in a game
Step-by-step explanation:
Outcomes in which he defeats less than three opponents:
Lose to the first opponent: 0.2 probability.
Beats the first opponent, loses to the second: 0.8*0.2 probability
Beats the first two opponents, loses to the third: 0.8*0.8*0.2 probability:
Probability of losing before beating three opponents:
[tex]P(b < 3) = 0.2 + 0.8*0.2 + 0.8*0.8*0.2 = 0.488[/tex]
What is the probability that a player defeats at least three opponents in a game?
[tex]P(b \geq 3) = 1 - p(b < 3) = 1 - 0.488 = 0.512[/tex]
0.512 = 51.2% probability that a player defeats at least three opponents in a game
Prove that triangle Bad is congruent to triangle ABC
Answers
Answer:
Step-by-step explanation:
From the diagram,
i. To prove that; ΔBAD ≅ ΔABC
It can be inferred that;
<BAD ≅ <ABC (right angle of a triangle)
AC ≅ BD (diagonal of a rectangle)
AD ≅ BC (property of the sides of a rectangle)
AB ≅ CD (property of the sides of a rectangle)
Therefore,
ΔBAD ≅ ΔABC (SAS, Side-Angle-Side, congruent relations)
ii. From the given rectangle,
AC = BD = diagonal
Since;
AD ≅ BC (property of the sides of a rectangle)
AB ≅ CD (property of the sides of a rectangle)
Then,
AC ≅ BD (diagonal property of a rectangle)
PLLS HELP I HAVE BEEN ASKING FOR 2 DAYS NOBODY HAS HELPED ME PLSSS OMG IM CRYING I WILL GIVE BRAINLIEST
Answers
Answer:
D. -(22/4)
Step-by-step explanation:
22/-4= -5.5
-(22/4)= -5.5
A box contains 6 red marbles, 10 blue marbles and 4 yellow marbles.
Which colour marble is impossible to take from the box?
red blue white yellow
Answers
Answer:
White because there is no white marble.
Step-by-step explanation:
Help me please. This is due later today.
Answers
Answer:
2:5 i THINK
Step-by-step explanation:
5. The owners of a two-person business make their decisions independently of each other and then compare their decisions. If they agree, the decision is made; if they do not agree, then further consideration is necessary before a decision is reached. The first owner makes the right decision 60% of the time; the second - 70% of the time. Enter your answers as decimals. 5(a) What is the probability that they make the right decision on the first try. 5(b) What is the probability that they make the wrong decision on the first try. 5(c) What is the probability that they delay the decision for further study.
Answers
Answer:
A. 0.42
B. 0.12
C. 0.45
Step-by-step explanation:
A. The probability that they make the right decision on the first try
First person = 60%
Second person = 70%
= 60% * 70%
= 0.42
B. Probability that they make wrong decision
= Wrong decision from first person * wrong decision from second person
Wrong decision = 1- right decision
= 1-0.60 * 1-0.70
= 0.40x0.30
= 0.12
3. Probability they delay decision
= 0.60(1-0.60)+0.70(1-0.70)
= 0.60x0.40 + 0.70x0.30
= 0.24+ 0.21
= 0.45
Randy had to hang a rectangular mirror on a wall. The length of his mirror was ⅚ yards long and ¾ yards wide. What is the area of the mirror?
Answers
Answer:
5/8
If you multiply 3/4 by 5/6 you will get 5/8
What is the area of the triangle? 13 5 12
Answers
Answer:29
Step-by-step explanation:
Which sign makes this number sentence true?
|866| __ |-866|
A. >
B. <
C. =
D. +
Answers
Answer:
>
Step-by-step explanation:
Answer:
c for me
Step-by-step explanation:
hope that helps you