1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erik [133]
3 years ago
5

solve this system of linear equations, separate the x- and y-values with a comma. -13x=-96-7y -3x=64+7y

Mathematics
1 answer:
GaryK [48]3 years ago
6 0

Answer:

(2,-10)

Step-by-step explanation:

I used a graphing tool to graph the system of equations. The the two lines intercept at the point (2,-10). So, (2,-10) is the solution.

You might be interested in
Pls answer b and c for my brother
stepan [7]

Answer:

B and C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve the system by using a matrix equation (Picture provided)
Katyanochek1 [597]

Answer:

Option b is correct (8,13).

Step-by-step explanation:

7x - 4y = 4

10x - 6y =2

it can be represented in matrix form as\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}4\\2\end{array}\right]

A= \left[\begin{array}{cc}7&-4\\10&-6\end{array}\right]

X= \left[\begin{array}{c}x\\y\end{array}\right]

B= \left[\begin{array}{c}4\\2\end{array}\right]

i.e, AX=B

or X= A⁻¹ B

A⁻¹ = 1/|A| * Adj A

determinant of A = |A|= (7*-6) - (-4*10)

                                    = (-42)-(-40)

                                    = (-42) + 40 = -2

so, |A| = -2

Adj A=  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]

A⁻¹ =  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]/ -2

A⁻¹ =  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right]

X= A⁻¹ B

X=  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right] *\left[\begin{array}{c}4\\2\end{array}\right]

X= \left[\begin{array}{c}(3*4) + (-2*2)\\(5*4) + (-7/2*2)\end{array}\right]

X= \left[\begin{array}{c}12-4\\20-7\end{array}\right]

X= \left[\begin{array}{c}8\\13\end{array}\right]

x= 8, y= 13

solution set= (8,13).

Option b is correct.

3 0
3 years ago
12+(8x(4+3)+2)-6 evaluate the expression
Slav-nsk [51]
Let's simplify step-by-step.<span><span><span>12+<span><span>8x</span><span>(<span>4+3</span>)</span></span></span>+2</span>−6</span><span>=<span><span><span><span>12+<span>56x</span></span>+2</span>+</span>−6

</span></span>Combine Like Terms:<span>=<span><span><span>12+<span>56x</span></span>+2</span>+<span>−6</span></span></span><span>=<span><span>(<span>56x</span>)</span>+<span>(<span><span>12+2</span>+<span>−6</span></span>)</span></span></span><span>=<span><span>56x</span>+8

</span></span>Answer:<span>=<span><span>56x</span>+<span>8

Good luck mate :P
</span></span></span>
5 0
3 years ago
Read 2 more answers
Chi chi can hit The golf ball 72 yards. Rory Can hit a golf ball 24 yards. How many times further can Chi chi hit a golf ball th
ivanzaharov [21]

Answer:

Chi chi canhit a golf ball three times further than Rory.

Step-by-step explanation:

To compare the distance between the two golfers, we can set up a ratio:

\frac{Chi chi Distance}{Rory Distance} = \frac{72}{24} =\frac{3}{1}

Since the distance that Chi chi can hit the ball is 3:1 the distance that Rory can hit the ball, than Chi chi can hit the golf ball three times further.  When reducing a ratio or fraction to lowest terms, you need to divide the numerator and the denominator by the same factor.  Since 72 can be evenly divided by 24, we can divide both the numerator and the denominator by 24 to get 3:1.

6 0
3 years ago
In October of 2012, Apple introduced a much smaller variant of the Apple iPad, known at the iPad Mini. Weighing less than 11 oun
sveticcg [70]

Answer:

a. f_X(x) = \dfrac{1}{3.5}8.5

b. the probability that the battery life for an iPad Mini will be 10 hours or less is 0.4286 which is about 42.86%

c.  the probability that the battery life for an iPad Mini will be at least 11 hours is 0.2857 which is about 28.57 %

d. the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours is 0.5714 which is about 57.14%

e.  86 should have a battery life of at least 9 hours

Step-by-step explanation:

From the given information;

Let  X represent the continuous random variable with uniform distribution U (A, B) . Therefore the probability  density function can now be determined as :

f_X(x) = \dfrac{1}{B-A}A

where A and B  are the two parameters of the uniform distribution

From the question;

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours

So; Let A = 8,5 and B = 12

Therefore; the mathematical expression for the probability density function of battery life is :

f_X(x) = \dfrac{1}{12-8.5}8.5

f_X(x) = \dfrac{1}{3.5}8.5

b. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

The  probability that the battery life for an iPad Mini will be 10 hours or less can be calculated as:

F(x) = P(X ≤x)

F(x) = \dfrac{x-A}{B-A}

F(10) = \dfrac{10-8.5}{12-8.5}

F(10) = 0.4286

the probability that the battery life for an iPad Mini will be 10 hours or less is 0.4286 which is about 42.86%

c. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

The battery life for an iPad Mini will be at least 11 hours is calculated as follows:

P(X\geq11) = \int\limits^{12}_{11} {\dfrac{1}{3.5}} \, dx

P(X\geq11) =  {\dfrac{1}{3.5}} (x)^{12}_{11}

P(X\geq11) =  {\dfrac{1}{3.5}} (12-11)

P(X\geq11) =  {\dfrac{1}{3.5}} (1)

P(X\geq11) = 0.2857

the probability that the battery life for an iPad Mini will be at least 11 hours is 0.2857 which is about 28.57 %

d. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

P(9.5 \leq X\leq11.5) =\int\limits^{11.5}_{9.5} {\dfrac{1}{3.5}} \, dx

P(9.5 \leq X\leq11.5) ={\dfrac{1}{3.5}} \, (x)^{11.5}_{9.5}

P(9.5 \leq X\leq11.5) ={\dfrac{1}{3.5}} (11.5-9.5)

P(9.5 \leq X\leq11.5) ={\dfrac{1}{3.5}} (2)

P(9.5 \leq X\leq11.5) =0.2857* (2)

P(9.5 \leq X\leq11.5) =0.5714

Hence; the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours is 0.5714 which is about 57.14%

e. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

The probability that battery life of at least 9 hours is calculated as:

P(X \geq 9) = \int\limits^{12}_{9} {\dfrac{1}{3.5}} \, dx

P(X \geq 9) =  {\dfrac{1}{3.5}}(x)^{12}_{9}

P(X \geq 9) =  {\dfrac{1}{3.5}}(12-9)

P(X \geq 9) =  {\dfrac{1}{3.5}}(3)

P(X \geq 9) =  0.2857*}(3)

P(X \geq 9) =  0.8571

NOW; The Number of iPad  that should have a battery life of at least 9 hours is calculated as:

n = 100(0.8571)

n = 85.71

n ≅ 86

Thus , 86 should have a battery life of at least 9 hours

3 0
3 years ago
Other questions:
  • Two added to three times a number m is the same as 18
    10·2 answers
  • Whats -1 1/10 divided by -11/10
    11·2 answers
  • A school is printing tshirts for their students. They have received 2 pricesfrom 2 companies. Company A says they will print 16
    6·1 answer
  • Circle O has a circumference of 36 cm.
    15·2 answers
  • you have a set of 10 cards numbered 1 to 10. you choose a card at random. Event A is choosing a number less than 7. Event B is c
    15·2 answers
  • Help me please please please
    6·2 answers
  • If you want to buy an item in a store that costs $36.50 and is on sale for 40% off, then how much would the item actually cost y
    15·1 answer
  • Finding the Slope of a Line on a Grapn
    8·2 answers
  • If x equals 5 and y equals negative 2 evaluate following expressions 7(2x-3y)
    5·2 answers
  • Given: Circle M with inscribed Angle K J L and congruent radii JM and ML
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!