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notsponge [240]
3 years ago
8

Solve the system of equations. y=x+5 y=-x+7

Mathematics
2 answers:
Semmy [17]3 years ago
6 0

Answer:

all work is shown and pictured

spin [16.1K]3 years ago
4 0

Answer:

(1,6)

x = 1, y = 6

See attachment for the graph

Step-by-step explanation:

y=x+5  

y=-x+7

Using the elimination process

     y=x+5  

-     y=-x+7

----------------

     0=2x-2

     2=2x

      1=x

      x=1

Substitute x = 1

y = x + 5

y = 1 + 5

y = 6

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Simplify the expression by using a double-angle formula. 2 sin 31°cos 31°
qwelly [4]

The double angle formula for the sine is

\sin(2x) = 2\sin(x)\cos(x)

The right hand side is exactly your expression, where x = 31^\circ

So, rewriting the expression from right to left, we have

2\sin(31^\circ)\cos(31^\circ) = \sin(2\cdot 31^\circ) = \sin(61^\circ)

6 0
2 years ago
If sales tax in a specific county is 6.5% what is the total price paid on a purchase of $156.00
olasank [31]
Then, it would be 156 + 156*6.5 /100 = 156+10.14 = $166.14
8 0
3 years ago
A large manufacturing firm tests job applicants who recently graduated from college. The test scores are normally distributed wi
anzhelika [568]

Answer:

lowest score a college graduate must earn to qualify for a responsible position is 578

correct option is D. 578

Step-by-step explanation:

given data

mean = 500

standard deviation = 50

distribution = 6 %

to find out

What is the lowest score a college graduate must earn to qualify for a responsible position

solution

we know that here Probability P that is express as

P ( Z > x ) = 100% - 6%      .....................1

so with the help of normal table

here value of Z is =  1.55 from cumulative probability 0.94

so by z score formula here x will be

x = z × standard deviation +  mean    ................2

so put here value

x = 1.55 × 50 + 500

x = 577.7387 ~ 578

so lowest score a college graduate must earn to qualify for a responsible position is 578

8 0
3 years ago
if a sample size 40 is drawn from the population that has mean 276 and a variance of 81, what is the probability that the mean o
lapo4ka [179]

Answer:

The probability is 0.017429

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)/SD/√n

In this case;

x = 273

mean = 276

SD = √(variance) = √81 = 9

n = 40

Substituting these values into the z-score formula, we have that;

z = (273-276)/9/√40

z = -2.11

So we proceed to get the probability

the probability in this case is;

P( z < -2.11)

We can use the normal distribution table for this

Our answer will be

P( z < -2.11) = 0.017429

4 0
3 years ago
Pls help pls help pls help
Yakvenalex [24]
3 is the correct answer Finn he is corn
3 0
3 years ago
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