Answer:
x² + 7x + 10 = 0
Subtract 10 from both sides
x² + 7x = -10
Use half the x coefficent (7/2) as the complete the square term
(x + 7/2)² = -10 + (7/2)²
note: the number added to "complete the square" is (7/2)² = 49/4
(x + 7/2)² = -10 + 49/4
(x + 7/2)² = 9/4
Take the square root of both sides
x + 7/2 = ±3/2
Subtract 7/2 from both sides
x = -7/2 ± 3/2
x = {-5, -2}
Use and method to find the total number of outcomes in each situation.
choosing one math class from Algebra and Geometry and one foreign language
class from French, Spanish, or Latin
===========================================================
Explanation:
Think of a table that has 2 rows and 3 columns.
Each row represents a different math class (either Algebra or Geometry).
Each column represents a different foreign language class (French, Spanish or Latin).
This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.
In short, all we have to do is multiply the number of classes for each subject.
Answer:
Explanation:
Think of a table that has 2 rows and 3 columns.
Each row represents a different math class (either Algebra or Geometry).
Each column represents a different foreign language class (French, Spanish or Latin).
This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.
In short, all we have to do is multiply the number of classes for each subject.
Step-by-step explanation:
Determine the equation of the circle in standard form:
x^2+y^2+4x+6y-36=0
Answer:
2. (x+2)²+(y+3)²=49
Step-by-step explanation:
it is possible to re-write the given equation:
x²+4x+4+y²+6y+9-49=0;
(x+2)²+(y+3)²-49=0;
(x+2)²+(y+3)²=7².
Harry just transferred $6 out of his bank account. As a result, the account now has $488 left in it. How much money was in the account before the transfer?
Answer:
$494
Step-by-step explanation:
Given data
Amount transfer= $6
Balance after transfer= $488
Let the total amount in the account before the transfer be x
Hence
x-6= 488
x= 488+6
x=$494
Hence the amount in the account before the transfer is $494
What is the recursive rule for the sequence?
−2.7, −8.3, −13.9, −19.5, −25.1
an=an+1+5.6, where a1=−2.7
an=an+1−5.6, where a1=−2.7
an=an−1+5.6, where a1=−2.7
an=an−1−5.6, where a1=−2.7
Answer:
[tex]a_{n} =a_{n-1} -5.6[/tex] where [tex]a_{1} =-2.7[/tex]
Step-by-step explanation:
This is an arithmetic sequence with the first term is [tex]a_{1}[/tex] = -2.7 and has a common difference of [tex]d=-5.6[/tex].
Arithmetic Sequence: [tex]a_{n} =a_{n-1} +d[/tex]
[tex]a_{n}[/tex] is the nth term and [tex]d[/tex] is the common difference.
The common difference: -2.7, -8.3, -13.9...
Subtract: -2.7- (-8.3) = -5.6, -13.9 - (-8.3) = -5.6
Common difference: [tex]d = -5.6[/tex]
Recursive rule: [tex]a_{n} = a_{n-1} -5.6[/tex]
helpppppppppp plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Step-by-step explanation:
The left side represent the tens place of the number, and the right side represent the one sides of the number. So the numbers are
12,12,13,14,18,19,19, 20,23,26,27,31,31,31,32,34,41,44,45,48.
a. There are 20 terms so this equation 20/2=10 means the 10th term will be the median. make sure to also include the number 11th term becuase the number of terms is even. The 10th and 11th term are 26,27 so the median is the midpoint.
[tex] \frac{26 + 27}{2} = 26.5[/tex]
The median is 26.5
b. The range is maximum value minus minimum value.
[tex]48 - 12 = 36[/tex]
c. The mode is the number that appear the most
That number is 31.
d. 20 students took apart of this survey.
When a fair die is rolled, find the probability of rolling the following:
2 or 6
Question 19:
1 point
In the diagram below of circle O, chords JT and ER intersect at M.
E
М.
M
ºo
R
If EM = 8 and RM = 15, the lengths of JM and TM could be
(1) 12 and 9.5
(3) 16 and 7.5
(2) 14 and 8.5
(4) 18 and 6.5
Applying the intersecting chords theorem, the possible lengths of JM and TM could be: 16 and 7.5.
What is the Intersecting Chords Theorem?The intersecting chords theorem states that product of the divided segments of each intersectint chords are equal to each other.
Based on the intersecting chords theorem, we would have:
(EM)(RM) = (JM)(TM)
If JM and TM are 16 and 7.5 respectively, we would have:
(8)(15) = (16)(7.5)
120 = 120
The lengths of JM and TM could therefore be: 16 and 7.5.
Learn more about the intersecting chords theorem on:
https://brainly.com/question/13950364
#SPJ2
Answer:
16 and 7.5
Step-by-step explanation:
Can someone really help
Me !
How much money does an employee
working for a salary of $48,000 per
year get paid each month?
A. $48,000 per month
B. $1,846 per month
C. $923 per month
D. $4,000 per month
Answer:
D. 4000 per month
Step-by-step explanation:
If they make 48000 per year, to find how mmuch s/he makes in a month, we have to divide it by 12 because there are 12 months in a year.
$48,000/12= $4000 per month
PLEASE HELPP
use the spinner to find the odds in favor of stopping on a multiple of 6
What is the complete factorization of x2 + 4x − 45?
Answer:
(x-5) (x+9)
Step-by-step explanation:
what multiplies to -45 but adds to positive 4? -5 and 9. that's how you get (x-5) (x+9)
2. Which trinomial below is equivalent to the square of the binomial x-5?
(1) x² + 25
(3) x? - 25
(2) x² -10x+25
(4) x?-10x – 25
Answer:
2) x² - 10x + 25
Step-by-step explanation:
(x - 5)(x - 5) = x² - 5x -5x + 25
Combining like terms
x² - 10x + 25
Find the following
[tex]2x + 3y = 13[/tex]
[tex]xy = 6[/tex]
find
[tex]8 {x}^{3} + 27 {y}^{3} [/tex]
Answer:
793
Step-by-step explanation:
x=2, y =3
8x³+27y³ = 64 + 729 = 793
GJ is a midsegment of △HIK. If HI=s–59 and GJ=s–65, what is the value of s?
Answer:
s = 71
Step-by-step explanation:
Given that GJ is a midsegment of the triangle then it is half the length of the third side, that is
GJ = [tex]\frac{1}{2}[/tex] HI , so
s - 65 = [tex]\frac{1}{2}[/tex] (s - 59) ← multiply both sides by 2 to clear the fraction
2s - 130 = s - 59 ( subtract s from both sides )
s - 130 = - 59 ( add 130 to both sides )
s = 71
SOMEONE PLEASE HELP ME I DONT KNOW HOW TO DO THIS TYPE OF PROBLEM
Answer:
Step-by-step explanation:
Because angles SQR and RQT are central angles, they are congruent to the arcs they intercept. This means that arc SR = 101 and arc RT = 118, making the whole major arc SRT = 219. That means that the minor arc, ST is 360 - 219 which is 141. We are looking in particular for the measure of angle SRT. It just so happens that angle SRT is an inscribed angle, so by definition it is one-half the measure of the arc it intercepts. It intercepts arc ST which we found measures 141, so angle SRT is 141/2 = 70.5
I will mark you brainliest if you solve this
show your working as well
4) (4x2– x – 7) + (2x3+ 6x2– 11)
5)(2x3– x + 4) + (5x2– 6x – 5)
6)(3x2+ 2x + 1) – (x2– 3x + 4)
7)(2x2– 3x + 7) – (5x2+ 3x + 6)
Answer:
4) 2x3 + 10x2−x−18
5) 2x3+5x2−7x−1
6) 2x2+5x−3
7) −3x2−6x+1
Step-by-step explanation:
4) (4x2 - x - 7) + (2x3+ 6x2– 11)
Combine Like Terms:
=4x2+−x+−7+2x3+6x2+−11
=(2x3)+(4x2+6x2)+(−x)+(−7+−11)
=2x3+10x2+−x+−18
5) (2x3– x + 4) + (5x2– 6x – 5)
Combine Like Terms:
=2x3+−x+4+5x2+−6x+−5
=(2x3)+(5x2)+(−x+−6x)+(4+−5)
=2x3+5x2+−7x+−1
6) (3x2+ 2x + 1) – (x2– 3x + 4)
Distribute the Negative Sign:
=3x2+2x+1+−1(x2−3x+4)
=3x2+2x+1+−1x2+−1(−3x)+(−1)(4)
=3x2+2x+1+−x2+3x+−4
Combine Like Terms:
=3x2+2x+1+−x2+3x+−4
=(3x2+−x2)+(2x+3x)+(1+−4)
=2x2+5x+−3
7)(2x2– 3x + 7) – (5x2+ 3x + 6)
Combine Like Terms:
= (2x2 −5x2 )+(−3x−3x)+(7−6)
Help on this anyone?
Answer:
If angle LMN is 63 degrees and angle LMO is 32 degrees and angle OMN + angle LMO is 63 degrees
we subtract 32 from 63 to find OMN
63-32 = 31
Step-by-step explanation:
Answer:
31 degrees
Step-by-step explanation:
The biggest angle is 63 degrees, for find OMN we have to do
63 - 32 = 31 degrees
simplify
3a + 2b - 8a + b
Answer:
-5a+3b
Step-by-step explanation:
just adding and subtracting like terms
Answer:
3b-5a
Step-by-step explanation:
hope this helps:)
The time , in hours , it takes to repair an electrical breakdown in a certain factory is represent by a random variable x where repair time follow a normal distribution with mean 5 hour and standard deviation 1 hour , if 5 electrical breakdown ore randomly chosen , Find the probability that ( a all repaired time below 6 hours ( b ) exactly 3 of them repaired below 6 hours
Answer:
a) 0.4215 = 42.15% probability that all are repaired in less than 6 hours.
b) 0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours
Step-by-step explanation:
To solve this question, we need to understand the normal and the binomial probability distributions.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Proportion repaired below 6 hours:
Mean 5 hours and standard deviation 1 hour, which means that [tex]\mu = 5, \sigma = 1[/tex]
This proportion is the p-value of Z when X = 6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{6 - 5}{1}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.8413.
0.8413 repaired below 6 hours.
For the binomial distribution, this means that [tex]p = 0.8413[/tex]
5 are chosen:
This means that [tex]n = 5[/tex]
a) Probability that all are repaired in less than 6 hours
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{5,5}.(0.8413)^{5}.(0.1587)^{0} = 0.4215[/tex]
0.4215 = 42.15% probability that all are repaired in less than 6 hours.
b) Probability that exactly 3 of them repaired below 6 hours
This is P(X = 3). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.8413)^{3}.(0.1587)^{2} = 0.15[/tex]
0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours
WILL GIVE BRAINLIEST
Answer:
Should be $300
let me know if it's correct:)
Cho tập số tự nhiên từ 1 đến 20, lấy ngẫu nhiên ba số. Xác suất để ba số lấy được lập thành cấp số cộng là
Help? Luis has saved $15. He doubles the amount he saves each week. Does this represent an exponential function? Choose the correct word in each drop-down menu.
This___ represent an exponential function, because his savings increase by a constant___
1st blank (does not, does)
2nd blank (ratio, difference)
Answer:
1). Does Not
2). Ratio
Step-by-step explanation:
According to the Question,
Given that, Luis has saved $15. He doubles the amount he saves each week.
This DOES NOT represent an exponential function, because his savings increase by a constant RATIO.which word describes the slope of the line?
a) positive
b) negative
c) zero
d) undefined
Answer: To me it (Zero) or (Undefined)
Tell whether the triangle with the given side lengths is a right triangle.
60, 63, 88
The answer is
yes or
no
Answer:
no
Step-by-step explanation:
so in order for it to be a right triangle this would have to be true:
a^2 + b^2 = c^2
since c represents the hypoteneuse, it will be the longest side. so:
60^2 + 63^2 = 88^2
3600 + 3969 = 7744
7569 = 7744
since that statement is not true, the answer is no.
it is not a right triangle
the square root of 7569 is 87, so the triple would have to be : {60,63,87}
PLEASE HELP I'LL GIVE BRAINLIEST
Answer:
841.8
Step-by-step explanation:
What is the value of the expression 5x2-8x+4 when x = -3
Answer:
5 x 2 - 8x + 4
5 x 2 - 24 + 4
10 - 24 + 4
-10
Answer: -10
HELP NOWhhhhhhhhhhhhhhhhhhhhhhh
Answer:
r = 1/5
Step-by-step explanation:
Substitute x=15 and y=3 into the equation given.
Transpose so that r = 3/15
Simply 3/15
r = 1/5
Answer:
4.4/22 = .2
r=.2
Step-by-step explanation:
Solve for X enter your answer in the box
Answer:
x = 6
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
GIVEN :-
AD ║ BCAE = 16 unitsAB = 5x + 2 unitsDE = 12 unitsDC = 24 unitsTO FIND :-
Value of xGENERAL CONCEPT TO BE USED IN THIS QUESTION :-
Basic Proportionality Theorem -
If a line drawn parallel to one side of a triangle and intersects the other two sides at distinct points , it divides the other two sides in equal proportion.
SOLUTION :-
AD is the line drawn parallel to BC and intersects EB & EC at A & D respectively. By using Basic Proportionality Theorem , it can be stated that -
[tex]\frac{AE}{AB} = \frac{DE}{DC}[/tex]
[tex]=> \frac{16}{5x + 2} = \frac{12}{24}[/tex]
[tex]=> \frac{16}{5x + 2} = \frac{1}{2}[/tex]
[tex]=> 5x + 2 = 16 \times 2 = 32[/tex]
[tex]=> 5x = 32 - 2 = 30[/tex]
[tex]=> x = \frac{30}{5} = 6[/tex]
The figure below is a square. Find the length of side x in simplest radical form with a
rational denominator.
VT
Answer:
x = [tex]\sqrt{14}[/tex]
Step-by-step explanation:
[tex]\sqrt{7}[/tex] / sin(45) = x / sin(90) (Cause its a square, the edges are 90 degrees)
[tex]\sqrt{14}[/tex] = x / 1
x = [tex]\sqrt{14}[/tex]
Can someone please help me?
create your own scale, it could be 2cm=40mm, so 3cm=60mm and 2.5cm=50mm.
then draw your trapezium in the given space using your scale