daisy will received 30 on her 5th birthday
What is the solution to the system of linear equations represented by the matrix equations below. Please help!!!!!
The system of equations has infinite solutions.
Option D is correct.
What is matrix multiplication?Matrix multiplication is a binary operation whose output is also a matrix when two matrices are multiplied.
To multiply one matrix with another, we need to check first, if the number of columns of the first matrix is equal to the number of rows of the second matrix. Now multiply each element of the column of the first matrix with each element of rows of the second matrix and add them all.
Given
Matrix equations
[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}6\\3\end{array}\right][/tex]
L.H.S:
Using Matrix multiplication
[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right][/tex]
R.H.S:
[tex]\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right]=\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]
Writing equation from above matrix
2x + 4y = 6
x + 2y = 3
or
2x + 4y = 6
2x + 4y = 6
Because there are two unknown number, but the two equations are consistent.
So, the system of equations has infinite solutions.
Option D is correct.
Find out more information about matrix multiplication here
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10.
Complete.
y^2 + 15y + 56 = (y + 7)(y + )
A. 8
B. –7
C. –8
D. 7
Answer:
I would go with letter B. -7
Step-by-step explanation:
The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
...............................................................................................................................................
Step by Step Solution
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Reformatting the input :
Changes made to your input should not affect the solution:
Step by step solution :
STEP 1 :
Trying to factor by splitting the middle term
1.1 Factoring y2+14y+49
The first term is, y2 its coefficient is 1 .
The middle term is, +14y its coefficient is 14 .
The last term, "the constant", is +49
Step-1 : Multiply the coefficient of the first term by the constant 1 • 49 = 49
Step-2 : Find two factors of 49 whose sum equals the coefficient of the middle term, which is 14 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 7 and 7
y2 + 7y + 7y + 49
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y+7)
Add up the last 2 terms, pulling out common factors :
7 • (y+7)
Step-5 : Add up the four terms of step 4 :
(y+7) • (y+7)
The solution is:
y = -7
The solution is:
y = -14 / 2 = -7
There are eight boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different student
to answer another question. The first
student is a boy and the second student is a
girl.
Answer:
Independent events - Random selection of one
student - Selection of one boy to answer first question
Dependent Event - Selection of a girl student
Probability = 13.33 %
Step-by-step explanation:
The complete question is
Determine whether the scenario involves independent or dependent events. Then find the probability
There are eight boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different student
to answer another question. The first
student is a boy and the second student is a
girl.
Solution
Independent events - Random selection of one
student - Selection of one boy to answer first question
Dependent Event - Selection of a girl student
Probability
8C1 + 8C1/16C2
(8+8) /(8*15)
13.33 %
David is planning to attend a public university after he graduates from high school in 3 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $53,600. His family has promised to contribute $32,000 each year he is in school. What is the minimum amount of money David must contribute to his savings per month for the next 3 years to have enough money to pay for his first year of tuition?
a
$450
b
$600
c
$575
d
$725
Answer:
b. 600
Step-by-step explanation:
subtract money from parents from tuition
divide by months
plz help me understand this question thankyou
Answer:
The mistakes were on points C and D
Step-by-step explanation:
Point C was graphed on (5,8) when it's supposed to be plotted on (5,7). Point D was on (-3,-4) but was supposed to be on (-4,-3?
Answer:
The mistakes are Point C and D
HELP ASAPPPP, FIRST PERSON TO HAVE THE CORRECT ANSWER WILL HAVE BRAINLIEST
What is the distance between points (8,3) and (3, 1) on the coordinate plane?
OA. 3 units
OB. 21 units
OC.29 units
OD. 7 units
Answer:
√29
Step-by-step explanation:
You would use the distance formula in this case to solve the problem:
(8-3)^2+(1-3)^2=29
Now square root 29, leaving you with √29.
Answer:
5.39
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(3 - 8)² + (1 - 3)²
√(-5)² + (-2)²
√25 + 4
√29
= 5.39
help me please!!!! asap Tia
Answer:
All of them should be marked sicne they are all less than 12.
Step-by-step explanation:
Answer:
m = 6, m = 1, m = 5, m = 7
Step-by-step explanation:
All the options are solutions of m < 12.
Carlos bought 6.5 pounds of bananas for $5.20.
● What is the price per pound of the bananas that Carlos bought?
What quantity of bananas would one dollar buy?
What is the numerator called in a percent problem? What is the denominator called in a percent problem ?
PLEASE I NEED HELP NOW!!!
Answer:
A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.
Step-by-step explanation:
Determine the center and radius of the following circle equation:
x2 + y2 – 10x + 8y + 40 = 0
Answer:
The center of this circle is (5, -4) and the radius is 1.
Step-by-step explanation:
First regroup these terms according to x and y :
x^2 - 10x + y^2 + 8y = -40
Next, complete the square for x^2 - 10x: x^2 - 10x + 5^2 - 5^2.
and the same for y^2 + 8y: y^2 + 8y + 16 - 16
Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:
x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.
Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:
Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:
(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:
(x - 5)^2 + (y + 4)^2 = 1
This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Matching like terms, we get h = 5, k = -4 and r = 1.
The center of this circle is (5, -4) and the radius is 1.
Answer:
Center (5,-4) Radius = 1
Step-by-step explanation:
Put it in the form of the standard circle equation after dividing everything by 2. (-10x/2=-5x) (8y/2=4y) Since the radius wasn't given, it's just going to be a 1.
(x-5)^2+y(-(-4))^2 = 1^2
Hence, center (5, -4) and radius 1.
Identify who is correct
Describe the mistake that was made
Jack is wrong because he used the distributive property wrong. On the top equation, you see 2(4k - 3). The 2 multiplies into the (), so basically you have
2 x 4k - 2 x 3
which gives you
8k - 6
Answer:
Taniyah
Step-by-step explanation:
Taniyah is correct because you need to:
diistribute : 8k - 6 - 6k = 14
combine like terms : 2k - 6 = 14
add 6 to both sides : 2k - 6 + 6 = 14 + 6
simplify : 2k = 20
divide both sides by the same factor : 2k/2 = 20/2
simplify : k = 10
determine equation (help please )
Answer: C
Step-by-step explanation:
A pet store has 52 freshwater fish. Of all the fish in the store, 80% are freshwater fish. How many fish does the store have in all
Please help ASAP
1.
Three times a number equals 40 more than five times the number what is the number
2.
A number equals four less than three times the number what is the number?
Answer:
Step-by-step explanation:
Here is a equation find x. (Please help this is due in 30 minutes!!)
-3x+7=1
Answer:
the answer is 2
-3x+7=1 x=2
Glenn has a garden that is shaped like a rectangle.
The perimeter of his garden is 7012 feet.
The length of the garden is 2434 feet.
What is the width of the garden?
21 ft o 11ft o 10 ½ ft o 45 ¾ ft
Answer:
Solution given:
The length of the garden[l] = 2434 feet.
breadth or width [b]=b
perimeter of his garden = 7012 feet.
2[l+b]=7012ft
2434+b=7012/2
b=3506-2434
b=1072
So the width of the garden is 1072ft.
Oscar rides his skateboard 58
5
8
mile in 14
1
4
hour. How fast, in miles per hour, does he ride his skateboard?
Answer:
speed = distance ÷ time
58 ÷ 14
speed = 4.142
what is the value of A
I think the answer is a = 4.5
81 ÷ 6 ÷ 3 = 4.5
I hope this helps, have a wonderful day!
i guess it might be right or wrong.the answer will be x value is 20.
what is a square root?
Answer:
A number multiplied by its self for ex 7 x 7 = 49 square root of 49 is 7
Answer:
A square root of a number is a value that, when multiplied by itself, gives the number. 6 · 6 = 36, so a square root of 36 is 6. You are probably curious why I said a square root and not the square root. - 6 · - 6 = 36. - 6 is a square root of 36. The symbol is √ which always means the positive square root.
√1 = 1
√4 = 2
√9 = 3
√16 = 4
√25 = 5
√36 = 6
√49 = 7
√64 = 8
√81 = 9
√100 = 10
Please help me to find area of semicircle
Answer:
Use a calculator and use the formula 1/2 × pi × (radius squared)
Jacob rode his bicycle at an average rate of 15 kilometers per hour.
Which statement about Jacob's bike race could be true?
Answer:b
Step-by-step explanation:
Can someone please help me on this?
Answer:
The surface area of the green prism is 2.5 times greater than the surface area of the blue prism
Which of the expressions below are equivalent? 8x - 4 4x 4(2x - 1)
Please help ASAP thank you!
Answer:
y < 3
Step-by-step explanation:
If you put the equation on a graphing calculator it shows that.
Please give me BRAINLIEST and THANKS <(￣︶￣)>
help please!!!! thank you in advance. asap too
NO LINKS the picture below shows six quarters and two pennies. If this was broken
down into two separate groups, what would be the equivalent ratio to six-
seconds?
Answer:
B i took the quiz
Step-by-step explanation:
Just trust me bro
Martin is driving to his uncle’s farm, which is 240 mi. from home. If he drives at a constant rate of 60 mph, how long will it take Martin to get to the farm? A. 2 hr. B. 4 hr. C. 5 hr. D. 6 hr.
Answer:
4 hours
Step-by-step explanation:
240 divided by 40
Answer:
4 hours
240 divided by 60
Step-by-step explanation:
Hope it helps
4x - 6 + x + 3
ASAP BRAINLIEST
Answer:
5x - 3
Step-by-step explanation:
Add like terms: (4x + x) + (-6 + 3) = 5x - 3
Answer:
3x-3
Step-by-step explanation:
combine like terms, 4x-x=3x and -6+3=-3
Math Tutor Pay: $11.44 per hour
they work 13 hours
how much do they get paid in a-
per week
per month
per year
Answer:
Per week: $1041.04Per month: $4610.32Per year: 55323.84Answer:
1041$/1W(M-Sun)
892$/1W(M-SAT)
744$/1W(M-Fri)
Step-by-step explanation:
Go to sleep stoo naughty
Find the axis of symmetry and the vertex of the graph of f (x) = x^2 - 16 + 55
Hi there!
»»————- ★ ————-««
I believe your answer is:
Vertex: (0, 39)
Axis of Symmetry: x = 0
»»————- ★ ————-««
Here’s why:
I have graphed the equation on a program. When graphed, the the lowest point lies on the point (0, 39). This makes (0, 39) the vertex.⸻⸻⸻⸻
The axis of symmetry is a vertical line that intercepts the vertex. The vertical line makes the parabola seem 'symmetrical'. The 'x' value of the vertex is usually the line of symmetry as well.⸻⸻⸻⸻
The 'x' value of the vertex is '0', so the axis of symmetry is [tex]x = 0[/tex].
⸻⸻⸻⸻
See the graph that I have attached.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
For equation:
[tex]f(x)=x^2-16x+55[/tex]
Vertex: [tex](8,-9)[/tex]
Axis of symmetry, ([tex]x=8[/tex])
For equation,
[tex]f(x)=x^2-16+55[/tex]
Vertex:[tex](0,39)[/tex]
Axis of symmetry, ([tex]x=0[/tex])
Step-by-step explanation:
The x-coordinate of the vertex of a parabola indicates the line of symmetry of the parabola. Thus, to solve this problem, one must find the vertex of the parabola. This can be done through a process called completing the square.
Completing the square is a process that converts a quadratic equation in standard form into vertex form. The first step is to group the linear and quadratic terms. Then factor out the coefficient of the quadratic term. After doing so, add a term to make the group a perfect square trinomial, then balance the equation.
Possibility 1
If the given equation is the following,
[tex]f(x)=x^2-16x+55[/tex]
Group,
[tex]=(x^2-16x)+55[/tex]
There is no quadratic term, thus, complete the square,
[tex]=(x^2-16x+64)+55-64[/tex]
Simplify,
[tex]=(x-8)^2-9[/tex]
Vertex: [tex](8,-9)[/tex]
Axis of symmetry, ([tex]x=8[/tex])
Possibility 2
If the given equation is the following,
[tex]f(x)=x^2-16+55[/tex]
Combine like terms,
[tex]=x^2+39[/tex]
Put in vertex form,
[tex]=(x)^2+39[/tex]
Vertex:[tex](0,39)[/tex]
Axis of symmetry, ([tex]x=0[/tex])