Answer:
[tex]x=3\\y=2[/tex]
Step-by-step explanation:
[tex]3x+2y=13\\y=x-1[/tex]
Solve for [tex]y=x-1[/tex] for y:
[tex]y=x-1[/tex]
Substitute [tex]x-1[/tex] for y in [tex]3x+2y=13[/tex]:
[tex]3x+2y=13[/tex]
[tex]3x+2(x-1)=13\\[/tex]
[tex]5x-2=13[/tex]
[tex]5x=13+2[/tex]
[tex]5x=15[/tex]
[tex]x=15/5[/tex]
[tex]x=3[/tex]
Substitute 3 for x in [tex]y=x-1[/tex]:
[tex]y=x-1[/tex]
[tex]y=(3)-1[/tex]
[tex]y=2[/tex]
[tex]x=3[/tex] and [tex]y=2[/tex]
hope this helps...
What is the next term in the pattern 1, -1, 2, -2,3
Answer: -3
Step-by-step explanation:
AB = 20 cm, m∠A = 30°, and m∠C = 45°. Express the number of centimeters in the length of BC in simplest radical form.
Answer:
Step-by-step explanation:
x/Sin30 = 20/sin45 multiply both sides by sin30
x = 20*sin30 / sin45
sin30 = 1/2
sin45 = 0.7071
x = 20*1/2 / 0.7071
x = 10 / 0.7071
x = 10 * sqrt(2)
What is 1/4 in feet?
Answer:
0.25 feet
7.62 centimeters
3 inches
Step-by-step explanation:
Not really a clear question-
A fish tank in a pet store has 23 fish in it. 10 are orange and 13 are white. Determine the probability that if we select 4 fish from the tank, at least 2 will be white.
Answer:
ok so the probility of gettting one white fish is
13/23
and if we take out one white fish the problity is
12/22
so we just multiply
12/22*13/23=0.30830039525
so the problity is 0.30 if you choose two fish you will get white for both
the first three terms of a series of which the nth term is 2n+1.
Answer:
3, 5, 7
Step-by-step explanation:
Substitute n = 1, 2, 3 into the nth term rule
a₁ = 2(1) + 1 = 2 + 1 = 3
a₂ = 2(2) + 1 = 4 + 1 = 5
a₃ = 2(3) + 1 = 6 + 1 = 7
Answer:
3, 5, 7
Step-by-step explanation:
n = 1, 2, 3 into the nth term rule
a₁ = 2(1)+1=2+1=3
a2=2(2)+1=4+1=5
a3 = 2(3)+1=6+1=7
The ages of Sohail, Afzal and Bilal are 17, 16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam?
Sohail=17
afzal=16
Bilal=12
Aslam=16+5=21
write two such ratios number whose multplicativen inverse is same as they are
Answer:
1 and -1 are two rational numbers whose multiplicative inverse is same as they are.
Step-by-step explanation:
mark me brainlist
There is a group of 15 people are ordering pizza. Each person wants 2 slices and each pizza has 10 slices. How many pizzas should they order?
Answer:
3 pizzas
Step-by-step explanation:
First, we can calculate how many slices are necessary. Each person wants two slices, so for each person, we must add 2 slices. We can add 2 15 times, or multiply 2 by 15 to get 2 * 15 = 30
We now know that we need 30 slices of pizza. Next, we need to figure out how many pizzas we need given this information.
For each pizza, we can add 10 slices, as there are 10 slices of pizza.
For the first pizza, we have 10 slices
For the second, we have 10+10 = 20 slices
For the third, we have 10+10+10 = 10 * 3 = 30 slices. Perfect!
Another way of figuring out the number of pizzas we need would be to divide 30 by 10, and 30/10=3 would equal the number of pizzas. We need to figure out how many pizzas we need to have 30 slices, so we can divide here.
Help me with this....After drawing a histogram....How do u find the class in which the median lies in a histogram....
Answer:
Get all the values of the histogram and put them in order:
For example 2,5,7,1,7,3 becomes 1,2,3,5,7,7 and then you get the middle number, which is in this case (3+5)/2=3.5
Then see which of the readings lie on 3.5.
Step-by-step explanation:
9514 1404 393
Explanation:
The histogram will have a count associated with each class. You may have to read the count from the vertical scale of the graph. If it is a histogram of relative frequencies, each class will have a fraction or percentage instead of a count.
Find the total of all counts. Determine what half that number is. If the total is odd, then round up to the nearest integer. This is the index number of the median value.
Add up the counts in the classes starting at one side of the graph, working toward the other side. (Left-to-right is the usual direction for doing this.) When you find the class that increases the total to a value equal or greater than the index number, this is the class that contains the median.
__
If the histogram is a relative frequency histogram, the class that brings the total to 50% is the one containing the median.
__
There may be cases where the total count is even, and the total of all of the classes up to a point is exactly equal to the index number you're looking for. In that case, the median is between that class and the next. Here's an example:
class 1: count 3
class 2: count 5
class 3: count 4
class 4: count 4
Total count: 3+5+4+4 = 16. Median index = 16/2 = 8
Total of classes 1 and 2 = 3+5 = 8. This means exactly half of the represented values are in class 2 or below, and half are in class 3 or above. If you had access to the actual data values, you would find the median as the average of the 8th and 9th data values (when they are sorted into increasing order). Here, the median might be estimated as the value halfway between the upper bound of class 2 and the lower bound of class 3.
__
2nd example
Consider the same histogram as above, but with a count of 3 in class 4. This brings the total count to 15, and the index of the median is 15/2 = 7.5, rounds to 8. Again, the 8th data value (median) is in class 2. There is no ambiguity in this case.
The question is in the image
Answer:
h(t) = -5*t^2 + 20*t + 2
Step-by-step explanation:
First, we know that the motion equation of the ball will be quadratic, so we write the equation:
h(t) = a*t^2 + b*t + c
Now we need to work with the data in the table.
h(1) = 17
h(3) = 17
h(1) = h(2) = 17
Then we have a symmetry around:
(3 - 1)/2 + 1 = 2
Remember that the symmetry is around the vertex of the parabola, then we can conclude that the vertex of the parabola is the point:
(2, h(2)) = (2, 22)
Remember that for a quadratic equation:
y = a*x^2 + b*x + c
with a vertex (h, k)
we can rewrite our function as:
y = a*(x - h)^2 + k
So in this case, we can rewrite our function as:
h(t) = a*(t - 2)^2 + 22
To find the value of a, notice the first point in the table:
(0, 2)
then we have:
h(0) = 2 = a*(0 - 2)^2 + 22
= 2 = a*(-2)^2 + 22
2 = a*(4) + 22
2 - 22 = a*(4)
-20/4 = -5 = a
Then our function is:
h(t) = -5*(t - 2)^2 + 22
Now we just expand it:
h(t) = -5*(t^2 - 4*t + 4) + 22
h(t) = -5*t^2 + 20*t + 2
The correct option is the first one.
Omane is 4 years older than Bremen. If the sum of their age is 60 , find Bremen's age
Answer:
Bremen's age is 28 years
Step-by-step explanation:
Bremen's age= x
Omane's age= x+4
x+x+4=60
2x+4=60
2x=60-4
2x=56
2x = 56
2 2
x=28
Complete the following statement.
The radical equation 2 + 2x - 3
V + 7 has a solution set z =
and an extraneous root =
Answer:
x=2; the extraneous root x=42.
All the details are in the attached picture, the answer is marked with red colour.
The radical equation 2 + 2x - 3. √(x + 7) has a solution set z = 2 and an extraneous root = -7.
To solve the equation, we can start by simplifying the radical. We get:
2 + 2x - 3√(x + 7) = 0
We can then move the constant term to the other side of the equation. We get:
2x - 3√(x + 7) = -2
We can then multiply both sides of the equation by -1. We get:
3√(x + 7) - 2x = 2
We can then square both sides of the equation. We get:
9(x + 7) - 12x * √(x + 7) + 4x² = 4
We can then rearrange the terms on the left-hand side of the equation. We get:
4x² - 12x * √(x + 7) + 5 = 0
We can then factor the expression on the left-hand side of the equation. We get:
(2x - 1)(2x - 5) = 0
This gives us two solutions, x = 1/2 and x = 5.
The solution x = 1/2 is a valid solution because it does not make the radical expression undefined. However, the solution x = 5 is an extraneous root because it does make the radical expression undefined.
Therefore, the solution set z = 2 and the extraneous root = -7.
To learn more about equation here:
https://brainly.com/question/10724260
#SPJ2
A line passed through the points (-3,-4) and (6,2). What is the x-intercept of this line?
Answer: 3
Step-by-step explanation:
Points (-3,-4) and (6,2) give you slope of (-4-2)/(-3-6)=-6/-9=2/3
Y=2/3x+k. Substitute first point, you get -4=2/3(-3)+k. -4=-2+k, so k=-2. When y=0, x value is the x intercept. 0=2/3x-2, 2/3x=2, so x=3.
ayuda por favor es para mañana
Answer:
sorry??
Step-by-step explanation:
What's the perpindicular line of y+5=4(x+12)
Factorize (a+b)²-4ab
Answer:
(a - b)²
Step-by-step explanation:
(a + b)² - 4ab
= a² + 2ab + b² - 4ab
= a² - 2ab + b²
= (a - b)²
Jimmy has a 4-kilometer head start on Higgs. How long will it take Higgs to catch Jimmy if Jimmy travels at 6 kilometers per hour and Higgs travels at 8 kilometers per hour?
Answer:
6x+4 = 8x
4=2x
x=2 hrs
Step-by-step explanation:
P and Q are points on the line 3y - 4x = 12
a Complete the coordinates of P and Q.
P(0, 1) Q(,0)
Answer:
Step-by-step explanation:
Since the coordinates of P are (0, 1), this makes P the y-intercept of that line. The y-intercept exists where x = 0. And in the coordinate (0, 1), x does in fact equal 0.
Since the one coordinate given in Q is (?, 0), this means that Q is the x-intercept of the line. The x-intercept exists where y = 0. And in the coordinate (?, 0), y does in fact equal 0. So in order to solve for the x coordinate of Q, we plug in a 0 for y and solve for x:
3(0) - 4x = 12 and
-4x = 12 so
x = -3
B) T is due north of C, calculate the bearing of B from C
Answer:
(a) 52°
(b) 322°
Step-by-step explanation:
(a) The details of the circle are;
The diameter of the circle = AOC
The center of the circle = Point O
The point the line AT cuts the circle = Point B
The point the tangent PT touches the circle = Point C
Angle ∠COB = 76°
We have that angle AOB and angle COB are supplementary angles, therefore;
∠AOB + ∠COB = 180°
∠AOB = 180° - ∠COB
∴ ∠AOB = 180° - 76° = 104°
∠AOB = 104°
OA = OB = The radius of the circle
Therefore, ΔAOB = An isosceles triangle
∠OAB = ∠OBA by base angles of an isosceles triangle are equal
∠AOB + ∠OAB + ∠OBA = 180° by angle summation property
∴ ∠AOB + ∠OAB + ∠OBA = ∠AOB + ∠OAB + ∠OAB = ∠AOB + 2×∠OAB = 180°
∠OAB = (180° - ∠AOB)/2
∴ ∠OAB = (180° - 104°)/2 = 38°
∠TAC = ∠OAB = 38° by reflexive property
AOC is perpendicular to tangent PT at point C, by tangent to a circle property, therefore;
∠TCA = 90° and ΔTCA = A right triangle
∠TAC + ∠ATC + ∠TCA = 180° by angle sum property
∠ATC = 180° - (∠TAC + ∠TCA)
∴ ∠ATC = 180° - (38° + 90°) = 52°
Angle ATC = 52°
(b) In ΔABC, ∠ABC = Angle subtended by the diameter = 90°
∴ ΔABC = A right triangle
∠ABC and ∠TBC are supplementary angles, therefore;
∠ABC + ∠TBC = 180°
∠TBC = 180° - ∠ABC
∴ ∠TBC = 180° - 90° = 90°
∠TCB = 180° - (∠TBC + ∠ATC)
∴ ∠TCB = 180° - (90° + 52°) = 38°
The bearing of B from C = (360° - 38°) = 322°.
What is the domain and range of graph!!! 10 points!!!
Answer:
THIRD OPTION - Domain: (0, infinity)
Range: (-infinity, + infinity)
Step-by-step explanation:
The graph is an asymptote, therefore the domain must start at 0 and end at infinity. The range is all real numbers because eventually it will reach all y values.
The water level of a pond drops an inch every 12 days without rain. How
many days will it take the pond's water level to drop by 11 inches?
Answer:
1 to 7 days
Step-by-step explanation:
Find the measure of LM
Answer:
[tex]{ \tt{LM = ON}} \\ { \bf{6x - 7 = 2x + 9}} \\ { \bf{4x = 16}} \\ x = 4 \\ \\ { \bf{LM = 6(4) - 7}} \\ { \boxed{ \tt{LM = 17 \: units}}}[/tex]
I'm confused, can someone please help?!
Answer:
B
Step-by-step explanation:
Pls brain list if right :>
Answer:
If ABCD is congruent to RSTU
AB≅RS
BC≅ST
CD≅TU
AD≅RU
and ∠A≅CR
∠B≅∠S
∠C≅T
∠D≅CU
ANSWER: ∠A≅∠U
------------------------------
hope it helps...
have a great day!!
If the 5th term in a geometric sequence is 162, and the common ratio is 3. What is the first term in the sequence?
======================================================
Explanation:
To get the 6th term, we multiply the fifth term by the common ratio
6th term = (fifth term)*(common ratio)
6th term = 162*3
6th term = 486
The 7th term is found by tripling 486, and so on.
To get the fourth term, we go in reverse of this process. We'll divide 162 by 3 to get 162/3 = 54
The third term is then going to be 54/3 = 18
The second term is 18/3 = 6
The first term is 6/3 = 2
-----------------------
Here's another way we can solve this question.
The nth term of a geometric sequence is a*(r)^(n-1)
We know that the common ratio is 3, so r = 3.
The 5th term is 162, meaning plugging n = 5 into that expression above leads to 162, so,
a*(r)^(n-1)
a*(3)^(n-1)
a*(3)^(5-1) = 162
a*(3)^4 = 162
a*81 = 162
81a = 162
a = 162/81
a = 2 is the first term
-----------------------
The first five terms of the geometric sequence are:
2, 6, 18, 54, 162
Each time we go from left to right, we're multiplying by 3. Going in reverse (right to left), we divide by 3.
Multiplying by 1/3 is the same as dividing by 3.
Help me plz to find product
Step-by-step explanation:
Explanation is in the attachmenthope it is helpful to you ☺️
Surface area of a cuboid is 384
work out the volume
Answer:
is 512
Step-by-step explanation:
The following list shows how many brothers and sisters some students have: 3, 4, 4, 5, 5, 3, 2, 4, 6, 3, 6, 4, 2 State the mode.
Answer:
mode is 4
it has the highest occurrence
Answer:
The mode is 4
Step-by-step explanation:
The mode is a value that appears most frequently in a data set.
By looking at all the numbers, the number 4 appears the most: a total of four times.
Hope it helps (●'◡'●)
Draw graph for equation 0.25x+0.50y<3
Which of the following is not a function?
1. {(0,0), (1,4), (2,8) }
2. {(0,0), (3,16), (16,49) }
3. {(1,1), (2,2), (3,3), (4,4)}
4. {(7,1),(6,2), (5,3), (5,4)}
5. all of the choices are function
The sum of two numbers is 9 and their difference is 7. Find the two numbers.
8 and 1
4 and 5
6 and 3
9 and 0
Answer:
8 and 1
Step-by-step explanation:
The sum means that the two numbers added together make up what they're asking. Difference means you're subtracting between the two. For our purposes, we can just look at each answer option and firstly see which one has a difference of 7.
8-1=7
4-5=-1
6-3=3
9-0=0
And just to double check, we try adding 8 and 1, which is 9! Yay! :P
