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nadezda [96]
3 years ago
5

What is the solution to the system of equations below? y = -3X+5 and y=4x-2 (1, 2) (1, –18) (–1, 8) (–1, –6)

Mathematics
2 answers:
jeka57 [31]3 years ago
8 0

Answer:

answer is a

Step-by-step explanation:

took the test give me brainliest plz

Maurinko [17]3 years ago
4 0

Answer:

(1, 2 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 5 → (1)

y = 4x - 2 → (2)

Substitute y = 4x - 2 into (1)

4x - 2 = - 3x + 5 ( add 3x to both sides )

7x - 2 = 5 ( add 2 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = (4 × 1) - 2 = 4 - 2 = 2

Solution is (1, 2 )

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Gnoma [55]
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5 0
3 years ago
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Smush Parker and Kobe Bryant are having a three-point shooting competition. For each shot made, the player earns three points. F
Alina [70]

Answer: Kobe made 25 shots.


Step-by-step explanation:

let 'x' be the number of shot made and 'y' be the number of shots missed.

Then according to the question, we have the following equation:-

3x-5y=0\\\Rightarrow\ x=\frac{5y}{3}.......(1)\\\\x+y=40..............(2)

Substitute the value of x from (1) in (2), we get

\frac{5y}{3}+y=40\\\Rightarrow\frac{5y+3y}{3}=40\\\Rightarrow\frac{8y}{3}=40\\\Rightarrow\ y=\frac{40\times3}{8}\\\Rightarrow\ y=15

From(1), x=25

Hence, Kobe made 25 shots.



8 0
3 years ago
Read 2 more answers
Find the linearization L(x) of the function at a.<br><br> f(x)=sin x, a=pi/6
matrenka [14]
As is it tangent line 
by using slope formula
 y-y1 = m(x-x1)
given <span>a=pi/6=x1
</span>f(x)= sinx
above equation can be wriiten as
 f(x)-f(a) = f’(a)(x – a)
so L(x)=f’(a) (x-a) + f(a)
f(x) = sinx =f(pi/6) = 1/2= y1
f’(x) = cosx f’(pi/6)= 3/2 = m 
now putting values
L(x) = <span>√ </span>3/2( x-pi/6)+1/2
L(x) = (√ 3/2)x+6-pi√ <span>3/12</span>
4 0
3 years ago
Find the values of x1 and x2 where the following two constraints intersect.
Advocard [28]

Answer:

x_1=9.654 and x_2=-4.269

Step-by-step explanation:

Given : 9x_1 + 7x_2 \geq 57

           4x_1 + 6x_2\geq 13

To Find : Find the values of x_1and x_2 where the following two constraints intersect.

Solution:

9x_1 + 7x_2 \geq 57

4x_1 + 6x_2\geq 13

Plot these constraints on the graph

9x_1 + 7x_2 \geq 57  --- Red

4x_1 + 6x_2\geq 13  --- Blue

The intersection point will provide the solution

So, Intersection point = (9.654,-4.269)

So, x_1=9.654 and x_2=-4.269

Refer the attached figure .

8 0
3 years ago
when a two digit number is multiplied by its unit digits, the product is 336. When the digits are reversed and the new number is
snow_lady [41]

9514 1404 393

Answer:

  56

Step-by-step explanation:

In the base-10 number system, the only two digits that have themselves as the least significant digit of their square are 5 and 6.* If multiplying a 2-digit number by the ones digit gives a ones-digit of 6, then the ones digit must be 6.

Similarly, if the ones digit of the product is 5, the ones digit of the number must be 5.

So, the ones digit of the original number is 6, and the ones digit of the reversed 2-digit number is 5. The original number is 56.

__

<em>Check</em>

  56 × 6 = 336

  65 × 5 = 325

  5 + 6 = 11

_____

<em>* Additional comment</em>

These digits are called "automorphs." Automorphs ending in 5 or 6 can be extended to any number of digits. For example, the 3-digit automorph ending in 6 is 376. <em>376</em>² = 141<em>376</em>. Similarly, the 3-digit automorph ending in 5 is 625. <em>625</em>² = 390<em>625</em>

7 0
3 years ago
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