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2 years ago

Which expression is equivalent to this expression? 4a + (–6b) – 3a + 2b

Mathematics

1 answer:

Arlecino [84]2 years ago

5 0

Answer:

a−4b

Step-by-step explanation:

=4a+−6b+−3a+2b

Combine Like Terms:

=4a+−6b+−3a+2b

=(4a+−3a)+(−6b+2b)

=a+−4b

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ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

Elina [12.6K]

Answer:

$\boxed{3x-5y}$

Step-by-step explanation:

=> $9x^2-25y^2$

Let's factor it out

=> $(3x^2)-(5y)^2$

Using Formula $a^2-b^2 = (a+b)(a-b)$

=> $(3x-5y)(3x+5y)$

So, (3x-5y) is one of the factor of it!

3 0

3 years ago

X^2+(x-4)^2=20^2<br> What is the value of x?

wel

Answer:

x=−12 or x=16

Step-by-step explanation:

also go back to my question and explain if it is real or non-real

8 0

3 years ago

A random sample of 8 recent college graduates found that starting salaries for computer scientists had a mean of $85000 and a st

DedPeter [7]

Answer:

(72460, 97540)

Step-by-step explanation:

Given:-

- The sample size, n = 8

- The sample parameters of normal distributed data:

mean u = $85000

standard deviation s.d = $15000

Find:-

Construct a 95% confidence interval for the average starting salary of all computer scientists in gainesville.

Solution:-

- A random variable (X) denotes average starting salary of all computer scientists in gainesville has a sample normally distribution as follows:

X ~ N ( $85000 , $15000^2 )

- The general formulation for CI for known standard deviation with significance α = 1 - 0.95 = 0.05:

( u - Z_a/2*(s.d/√n) < X < u + Z_a/2*(s.d/√n) )

- The Z_a/2 = Z_0.025 = 1.96:

( 85,000 - 1.96*(15,000/√8) < X < 85,000 + 1.96*(15,000/√8) )

(72460, 97540)

3 0

2 years ago

In ASTU, u = 3.4 cm, _S=6° and ZT=93º. Find the area of ASTU, to the

Wewaii [24]

Answer:

4.2

Step-by-step explanation:

Step-by-step explanation:

4 0

2 years ago

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi

Vikki [24]

The equation of the circle: $(x-a)^2+(y-b)^2=r^2$

where:
(a; b) - coordinates of the center
r - a radius

Use: $(a\pm b)^2=a^2\pm2ab+b^2\ \ \ \ (*)$

We have:

$x^2-4x+y^2+8y=-4\\\\x^2-2x\cdot2+y^2+2y\cdot4=-4\ \ \ |add\ 2^2\ and\ 4^2\ to\ both\ sides\\\\\underbrace{x^2-2x\cdot2+2^2}_{(*)}+\underbrace{y^2+2y\cdot4+4^2}_{(*)}=-4+2^2+4^2\\\\(x-2)^2+(y+4)^2=-4+4+16\\\\(x+2)^2+(y-4)^2=16\\\\(x+2)^2+(y-4)^2=4^2$

Answer:
The center: (-2; 4)
The radius: r = 4

7 0

3 years ago

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