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2 years ago

What is -5(4x + 3) = -5x - 5 - 15x - 10?

Mathematics

2 answers:

Ber [7]2 years ago

7 0

Answer:

Step-by-step explanation:

-5(4x + 3) = -5x - 5 - 15x - 10

-5*4x - 5*3 = -5x - 5 - 15x - 10

-20x - 15 = -5x - 5 - 15x - 10

-20x + 5x + 15x = -5 -10 - 15

0= 0

inysia [295]2 years ago

7 0

Answer:

Infinite Solutions

Step-by-step explanation:

Firstly we distribute

-20x - 15 = -5x - 5 - 15x - 10

Collect like terms

-20x - 15 = -20x - 15

This represents infinite solution because they will result in 0.

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Please Hurry ...Which expression is equivalent to

swat32

Answer:

$\huge\boxed{\sf \frac{160rs^5}{t^6}}$

Step-by-step explanation:

$\sf 5r^6t^4 ( \frac{4r^3s^tt^4}{2r^4st^6} ) ^5$

Using rule of exponents $\sf a^m/a^n = a^{m-n}$

$\sf 5r^6t^4 ( 2 r^{3-4} s^{2-1}t^{4-6})^5\\5r^6t^4(2r^{-1}st^{-2})^5\\5r^6t^4 * 32 r^{-5}s^5t^{-10}$

Using rule of exponents $\sf a^m*a^n = a^{m+n}$

$\sf 160 r^{6-5}s^5t^{4-10}$

$\sf 160 rs^5 t^{-6}$

To equalize the negative sign, we'll move t to the denominator

$\sf \frac{160rs^5}{t^6}$

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2 years ago

What is the rational number equivalent to __ 3.24?

guajiro [1.7K]

Answer:

$\frac{324}{100}$

Step-by-step explanation:

Think of a rational number as a fraction. The definition of a rational number is that it is the ratio of integers that, when divided, is either an integer, a decimal that terminates, or a decimal that repeats. 6/3 = 2 (6/3 is a rational number that divides to 2); 1/2 = .5 (1/2 is a rational number that divides to .5 which is a terminating decimal, meaning it ends); 1/3 = .33333333 (1/3 is a rational number that divides to .3333333 which is a repeating decimal). If we want to express 3.24 as a rational number, let's first put it into fraction form. The 4 in .24 is in the hundredths place, so as a fraction, .24 is 24/100. Check this on your calculator. Divide 24 by 100 and you get .24. So now what we have is $3\frac{24}{100}$

Now express that mixed fraction as an improper and you're done. 3 times 100 is 300; 300 + 24 = 324. Put that back over 100 and your rational number is 324/100. Check that on your calculator, as well, just to see that it's true.

5 0

2 years ago

What is the prime factorization of 96? 8 · 12 2 · 2 · 2 · 2 · 3 25 · 3 25 · 32

olganol [36]

96
/ \
8 • 12
/ \ / \
4 • 2 • 4 • 3
/ \ / \
2 2 2 2
96 is 2•2•2•2•2•3 or 2^5•3

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3 years ago

The following formula can be used to find the period of a simple pendulum. If the pendulum length (L) is in meters, and gravity

UNO [17]

Answer:The answer is C

Step-by-step explanation:

A. Meters

B. Seconds squared

C. Seconds

D. Seconds per meter

6 0

3 years ago

Read 2 more answers

HELP PLEASE ASAP

olga2289 [7]

Answer: a) degree and sign

b) end behavior: left side → +∞, right side → -∞

c) x-intercepts: x = -1.3, 0.3, 1.0

Step-by-step explanation:

end behavior can be determined by two things:

1) the degree of the polynomial:

if the degree is an even number, then the end behavior will be the same for both the left and right sides.
if the degree is an odd number, then the end behavior will be different for both the left and right sides.

2) the sign of the leading coefficient:

If the leading coefficient is positive, then the end behavior of the right side goes to positive infinity
If the leading coefficient is negative, then the end behavior of the right side goes to negative infinity

W(x) = -5x³ + 7x - 2

Degree: 3 (odd)

Leading Coefficient: negative

So, end behavior is: right side goes to negative infinity, right side goes to positive infinity.

See attachment for x-intercepts. I set the x-axis to represent tenths

5 0

2 years ago