Answer:
y = 8-3x and y = -11/3 + x/3
For the first equation you have to subtract 3x from both sides of the equation. for the second equation you have to move all terms that doesn't contain y to the right side and solve
What is the correct formula for calculating a 3 x 3 determinant?
To work out the determinant of a 3×3 matrix:
Multiply a by the determinant of the 2×2 matrix that is not in a's row or column
Likewise for b, and for c
sum them up, but remember the minus in front of the b
_____________________________________________________
Hope this helps, stay safe, have a good day :D
Answer: it’s C
Step-by-step explanation:
just took the assignment
Find the simplest pattern and fill in the missing number. 45, 30, 18, 9, ... 0
Answer:
3 the patten is the previous subtracted about decrease by 3
Step-by-step explanation: the pattern decrease the number subtracted by 3 so it starts with 15 and goes to 12 then to 9 so the last one would be six and 9 - 6 = 3
4. Rewrite a formula to isolate a variable:
The velocity(v) of a rocket depends on the time it was firing its boosters(t), and on
the exhaust velocity(c) and on the ratio of mass full to empty(R). Units are km/s.
v = -0098t + c ln R
a. Rewrite the formula so that it solves for R.
V=-0098t + clnR
Answer:
[tex]v=-0.098t+c\ln(R)\\c\ln(R)=v+0.098t\\ln(R)=\frac{v+0.098t}{c} \\R=e^{\frac{v+0.098t}{c}}[/tex]
8) y is inversely proportional to x?.
When x = 4, y = 3.
Find y when x = 5.
Answer:
[tex]\displaystyle y=2.4[/tex]
Step-by-step explanation:
[tex]{\displaystyle y\propto \frac{1}{x} }[/tex]
[tex]\displaystyle y=\frac{k}{x}[/tex]
[tex]\displaystyle 3=\frac{k}{4}[/tex]
[tex]\displaystyle 3 \times 4=k[/tex]
[tex]\displaystyle k=12[/tex]
[tex]\displaystyle y=\frac{12}{5}[/tex]
[tex]\displaystyle y=2.4[/tex]
find the value of x when m<2= 8x
Answer:
x = 10
Step-by-step explanation:
The base angles of an isosceles triangle measure the same
The three angles of the triangle and 50 , 50 and <2
They sum to 180 degrees
50 +50 + 8x = 180
Combine like terms
100+8x = 180
Subtract 100 from each side
100-100 +8x = 180 - 100
8x= 80
Divide by 8
8x/8 = 80/8
x = 10
Answer:
x =10
Step-by-step explanation:
this is isosceles Δ so it has base ∠ that are =
sum of angles in Δ is 180 so 180 -50-50 = 80
m<2= 80
80= 8x
x =10
The sum of the measures of two complementary angles exceeds the difference of their measures by 86. Find the measure of the larger angle.
PLEASE HELP WILL MARK BRAINLIEST
Graph the inequality below on the number line.
Answer:
open circle on negative 10 with the arrow going to the right. one trick is when the variable is on the left the inequality sign points to where the arrow will go and > is open circle > with a line under is closed circle
Please answer correctly !!!! Will mark brianliest !!!!!!!!!!!!!!
Answer:
C
Vertex at (-4 , 18)
Step-by-step explanation:
The vertex's x-coordinate is -4
To find the y-coordinate plug -4 into any of the equations but I recommend using the third one because it'll be the fastest route.
-2 (-4 + 4)^2 + 18
-2(0)^2 + 18
= 18
Vertex at (-4, 18)
John is selling tickets to an event. Attendees can either buy a general admission ticket, x, or a VIP ticket, y. The general admission tickets are $55 in the VIP tickets are $70. If he knows he sold a total of 25 tickets and made $1480 how many of each type did he sell?
Answer:
Step-by-step explanation:
55x + 70y = 1480
x + y = 25
55x + 70y = 1480
-55x -55y = -1375
15y = 105
y = 7 VIP tickets sold
x + 7 = 25
x = 18 general admission tickets
(18,7)
What can be concluded about the sequence 19, 15, 11, 7, . . . represented on the graph? Check all that apply. The common difference of the sequence is the same as the slope of the graph. The slope of the graph is –4. The next term in the sequence is represented by point (4, 3). f(x) = –4x + 19 represents the sequence. An infinite number of points can be determined to follow this sequence.
Answer:
3, -1
Step-by-step explanation:
the answer is A,B,E
i took the test
What is the value of x in the equation 3 minus 2 x = negative 1.5 x? People say the Answer is 6. What's the work to get the answer?
Answer:
6
Step-by-step explanation:
3-2x=-1.5x
3=2-1.5x
3=0.5x
X=(3÷0.5)=6
can someone show me how pls, Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15.
Answer:
165
Step-by-step explanation:
First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate. Then, you substitute all the values that you provided for the angles. 15x+15=x+15+140. You then solve for x.
15x+15=x+155
14x=140
x=10
You then plug back in 10 for X in the value of m<UTS. 15(10)+15=165
1. If the original price is $75 and you get a 30% discount. What is the sale
price?
Answer:
the sale price is 52.50
Step-by-step explanation:
30% discount means that the person pays 70% of the original price
multiply 75 by 70% written as a decimal 0.70
75*0.70 = 52.50
The Nth term of a sequence is 3n^2/2
a) what is the second term of the sequence?
b) what is the fifth term sequence?
c) which term in the sequence is the first to have a value higher than 50?
Please help
The second and fifth term for the given sequence are 6 and 48 respectively and a₆ > 50.
What is an inequality expression?An inequality expression refers to the relation between an algebraic expression to some known value that contains inequality sign. Unlike an equation it can have a range of values inside an interval.
The given problem can be solved as,
(a) The nth term of the sequence is given as aₙ = 3n²/2
Then, substitute n = 2 to get second term as below,
a₂ = (3 × 2²)/2 = 6
(b) The fifth term is obtained as,
a₅ = (3 × 2⁵)/2 = 48.
(c) The inequality expression for the given case can be written as,
3n²/2 > 50
⇒ 3n² > 100
⇒ n² > 33.33
This is possible only for n = 6.
Hence, the second and fifth terms are 6 and 48 respectively. And, the 6th term will be the first to be greater than 50.
To know more about inequality expression click on,
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F) 77.1%
Thanks if you helped me
Answer: 43.5
Step-by-step explanation:
185/425
divide them, you should get 0.435
move it to the left 2 times and thats your answer
hat logarithmic function represents the data in the table?
x f(x)
25 2
125 3
625 4
Answer:
1
Step-by-step explanation:
Answer:
The answer is A!
Penny had a bag of marbles. She gave one-third of them to Rebecca, and then one-fourth of
the remaining marbles to John. Penny then had 24 marbles left in the bag. How many marbles were
in the bag to start with?
pls explain.
Given That:
x - (Rebecca's share + John's share) = 24
x - (x/3 + x/4) = 24
12x/12 - (4x / 12 + 3x / 12) = 24
5x/12 = 24
5x = 24 x 12
5x = 288
x = 57 or 58
NEED HELP ASAP! Arianna correctly simplified an expression. When she substituted \ into the simplified expression, the value was –4. Which could be Arianna’s original expression? One-sixth (negative 3 x minus 24) One-sixth (negative 5 x minus 8) One-sixth (negative 10 x minus 4) One-sixth (negative 12 x minus 16).
Answer:
(1/6)(-10x - 4) = -4
Step-by-step explanation:
(1/6)(-3x - 24) = -4
=> -3x - 24 = -4 x 6
=> -3x - 24 = -24
=> -3x = 24 - 24
=> -3x = 0
=> x = 0 (not 2) => Incorrect option
(1/6)(-5x - 8) = -4
=> -5x - 8 = -4 x 6
=> -5x - 8 = -24
=> -5x = 8 - 24
=> -5x = -16
=> x = 16/5 (not 2) => Incorrect option
(1/6)(-10x - 4) = -4
=> -10x - 4 = -4 x 6
=> -10x - 4 = -24
=> -10x = 4 - 24
=> -10x = -20
=> x = 2 => Correct option
(1/6)(-12x - 16) = -4
=> -12x - 16 = -4 x 6
=> -12x - 16 = -24
=> -12x = 16 - 24
=> -12x = 8
=> x = -3/4 (not 2) => Incorrect option
=> Option C is correct
Hope this helps!
Answer: C. One-sixth (negative 10 x minus 4)
Step-by-step explanation: On Edgenuity!!!!!!!!!!!!!
Medical statistics indicate that 20% of the population will have cancer in their lifetimes. A group of 12 babies is selected at random. a. What is the probability that exactly 5 in the group will get cancer in their lifetime? b. What is the probability that at least 5 will get cancer in their lifetime? Record the answer to four decimal places (x.Xxxx)
Answer:
a. 5.3%
b. 7.3%
Step-by-step explanation:
we have to:
n = 12
p = 0.2
q = 1 - 0.2 = 0.8
We apply the binomial formula:
p (x) = nCx * p ^ x * p ^ (n-x)
a. P (x = 5) = 12C5 * 0.2 ^ 5 * 0.8 ^ (12-5)
12C5 = 12! / (5! * (12 -5)!) = 792
P (x = 5) = 792 * 0.2 ^ 5 * 0.8 ^ (12-5)
P (x = 5) = 0.053
which means that the probability is 5.3%
b. P (x => 5) = 1 - p (x <5)
P (x => 5) = 1 - p (x <= 4)
P (x => 5) = 1 - [P (x = 0) + P (x = 1) + P (x = 2) + P (x = 3) + P (x = 4)]
P (x = 0) = 12C0 * 0.2 ^ 0 * 0.8 ^ (12-0) = 0.069
P (x = 1) = 12C1 * 0.2 ^ 1 * 0.8 ^ (12-1) = 0.206
P (x = 2) = 12C2 * 0.2 ^ 2 * 0.8 ^ (12-2) = 0.283
P (x = 3) = 12C3 * 0.2 ^ 3 * 0.8 ^ (12-3) = 0.236
P (x = 4) = 12C4 * 0.2 ^ 4 * 0.8 ^ (12-4) = 0.133
replacing:
P (x => 5) = 1 - [0.069 + 0.206 + 0.283 + 0.236 + 0.133]
P (x => 5) = 1 - 0.927
P (x => 5) = 0.073
Which means that the probability is 7.3%
, 8 technicians can test 560 samples in 36 hours. How long
(in days) can 15 technicians'test 525 samples?
Answer:
0.75 days (im a bit unsure but i tried my best, hope this helps :) )
Step-by-step explanation:
If it takes 8 technicians 36 hours to test 560 samples, find how many technicians can test 525 samples.
8: 560
x: 525
x= 7.5 (which is considered 7)
Then, find how long it takes to sample 525 samples, when 560 are done in 36 hours;
560: 36
525: x
x= 33.75 (which is considered 34 hours)
The last step is to check how long 15 technicians take to sample 525 samples when 8 can do the same number in 34 hours. this is inverse proportion so dont forget to flip one numerator and denominator
8; 34
15; x
it will become
15:34
8: x
x= 18 hours
Divide by 24 for days hence 0.75 days
If 7+5x+9=−3x , then x=−2 . Drag and drop the reasons to correctly complete each box.
Answer:
Where are the reasons and boxes? Could you repost with more information or a picture please? Thank you!
Step-by-step explanation:
Which of the following is false?
A a child's age and the height of a child is a positive correlation
B none, since all of the other answer choices are true
C the number of hours a person studies and the numerical score on the
exam is a positive correlation
09
D the speed of a vehicle and the time it takes the vehicle to travel 60
miles is a positive correlation
09
09
Answer:
A
Step-by-step explanation:
A because the height and age are sometimes not proportional or ideal. Some kids don't develop due to health problems for example, which make them look smaller than normal. Other people might a conditions, which makes them grow to tall.
–5 d + (–6) u – 3, when d = 2 and u = 7
Answer:
-55
Step-by-step explanation:
when d= 2 and u=7
-5(2)-6(7)-3
-10 - 42 -3 = -55
Please mark as Brainlest
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The final value of the expression -5d + (-6)u - 3 when substituted d = 2 and u = 7 is 55
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3x + 4 is an expression.
3x = 4 is an expression.
We have,
-5d + (-6)u - 3 ______(1)
Substitute d = 2 and u = 7 in (1).
-5 x 2 + (-6) x 7 - 3
Add all the like terms.
-10 - 42 - 3
-10 - 45
- 55
Thus,
The final value of the expression -5d + (-6)u - 3 when substituted d = 2 and u = 7 is 55.
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Which of the following is an angle shown in the drawing?
Will mark as brainliest if correct. Please answer ASAP please.
Answer: All of them besides <AEB
Step-by-step explanation:
Everyone of those can be measured but the <AEB therefore all the answers besides <AEB is correct
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
0, 1
Step-by-step explanation:
The discriminant is b² - 4ac where we have ax² + bx + c, in this case a = -4, b = 12, c = -9 so D = 12² - 4(-4)(-9) = 0.
Because the discriminant is 0 that means that f(x) only has one solution for x meaning that it has only 1 x-intercept.
1. Find a. The length of side
b. The Apothum
c. The area of the regular polygon inscribed in a circle of radius r= 13 cm of hexagon,
2. The side length of inscribed regular polygon is 10 unit long. Find the area of hexagon.
3. The area of inscribed regular hexagon is 18 V3 cm2. Find
8. The radius
b. The side length
c. The Apothum
d. The perimeter
4. If a regular polygon of 12 sides with radius units long is given. What is its area?
please help guys i dont understand
Please Help!!! Examine parallelogram ABCD. Opposite sides AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ have lengths of 4y and y+42, respectively. Determine the value of y and answer the following question. Quadrilateral A B C D with side measures as given in the problem. What is the length of AB¯¯¯¯¯¯¯¯?
Answer:
y = 14
Length of AB = 56 units
Step-by-step Explanation:
==>Given:
Parallelogram ABCD, with the following lengths:
AB = 4y
DC = y + 42
==>Required:
a. Value of y
b. Length of AB
==>Solution:
i. Recall that one of the properties of a parallelogram is that opposite sides are congruent. This implies that side AB is congruent to DC.
To find the value of y, let's set the opposite sides of the parallelogram equal to each other (i.e. AB = DC)
Thus,
4y = y + 42
Subtract y from both sides
4y - y = y + 42 - y
3y = 42
Divide both sides by 3
3y/3 = 42/3
y = 14
ii. Length of AB = 4y
Plug the value of y
Length of AB = 4(14)
Length of AB = 56 units
Angel wants to distribute a certain amount of money among his children. IF you split $10 each, you have $35 left, and if you split $15 each, you still have $5 left. Indicates the amount of money distributed.
Answer:
95
Step-by-step explanation:
Let x be the number of children
10x+35 = money
15x+5 = money
Set the equations equal
10x+35 = 15x+5
Subtract 10x from each side
35 = 5x+5
Subtract 5 from each side
30 =5x
Divide by 5
30/5 =5x/5
6 =x
There are 6 children
10x+35 = money
10(6) +35
60+35
95
The amount of money is 95
EASY question for y’all mathy people, easy points! Question in photo.
Answer:
Step-by-step explanation:
A linear function is a line which, in slope-intercept form, follows
y = mx + b,
where m is the slope and b is the y-intercept.
The only one that follows that form is B. B can be rewritten as
[tex]y=\frac{1}{3}x+2[/tex]
and in that form we see that the slope value is 1/3 and the y-intercept is 2. The choice is B.
A is a radical function moved up from its originating spot; C is an inverse function moved down 4 units from its originating spot with a vertical asymptote at x = 0; and D is a cubic moved down 10 units from its originating spot.
B is the one you want.
10+12+14+...+(2n)=90 n=?
Answer:
n=10
Step-by-step explanation:
The given equation is
[tex]10+12+14+...+2n=90[/tex] ...(1)
Let nth term is 2n.
We need to find the values of n.
It is clear that [tex]S_n=10+12+14+...+2n[/tex] is sum of A.P., whose first term is 10 and common difference is 2.
Sum of A.P. is
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
where, a is first term and d is common difference.
Substitute a=10 and d=2 in the above formula.
[tex]S_n=\dfrac{n}{2}[2(10)+(n-1)2][/tex]
[tex]10+12+14+...+2n=n[10+n-1][/tex]
[tex]10+12+14+...+2n=n[9+n][/tex] ...(2)
From (1) and (2), we get
[tex]n(9+n)=90[/tex]
[tex]n^2+9n-90=0[/tex]
Splitting middle term, we get
[tex]n^2+15n-6n-90=0[/tex]
[tex]n(n+15)-6(n+15)=0[/tex]
[tex](n+15)(n-6)=0[/tex]
[tex]n=-15,6[/tex]
Since, n represents the number of terms so n cannot be a negative number, therefore number of term is 6.
Note: nth term and variable n both are different.
[tex]a_n=a+(n-1)d[/tex]
[tex]a_6=10+(6-1)2=10+10=20[/tex]
Sixth term is 20. So,
[tex]2n=20[/tex]
[tex]n=10[/tex]
Therefore, the value of n is 10.