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3 years ago

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

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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

3 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