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anzhelika [568]
3 years ago
13

Y = 3/2x + 3 What is the slope?

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
8 0

Answer:

The slope is 1.5

Step-by-step explanation:

y = mx + b

m = slope

3/2 = slope

3/2 = 1.5

ElenaW [278]3 years ago
3 0

Answer:

Step-by-step explanation:

the slope would be 1.5 or 3/2 because that is how much X is being multiplicated by.

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Solve the equation 91 = 43 + x. Explain your answer.
lana66690 [7]

Answer:

Step-by-step explanation:

The first question:

91 = 43 + x

x = 91 - 43

x = 48

By using transposing method

Second question:

7 0
4 years ago
If x>2, then x^2-x-6/x^2-4=
Viefleur [7K]
Consider the expression \frac{x^{2} -x-6}{ x^{2} -4}

To factorize the expression in the denominator we use difference of squares: x^{2} -4=x^{2} - 2^{2} =(x-2)(x+2)

To factorize x^{2} -x-6 we use the following method:

x^{2} -x-6=(x-a)(x-b)

where a, b are 2 numbers such that a+b= -1, the coefficient of x,

and a*b= -6, the constant.

such 2 numbers can be easily checked to be -3 and 2

(-3*2=6, -3+2=-1)

So x^{2} -x-6=(x-a)(x-b)=(x+3)(x-2)


 \frac{x^{2} -x-6}{ x^{2} -4}= \frac{(x+3)(x-2)}{(x-2)(x+2)}= \frac{x+3}{x+2}


\frac{x+3}{x+2}= \frac{x+2+1}{x+2}= \frac{x+2}{x+2}+ \frac{1}{x+2}=1+ \frac{1}{x+2}

for x>2

\frac{1}{x+2}\ \textless \  \frac{1}{2+2}= \frac{1}{4}

thus

for x>2, 

1+ \frac{1}{x+2}\ \textless \ 1+ \frac{1}{4}= \frac{5}{4}


Answer: 

for x>2

\frac{x^{2} -x-6}{ x^{2} -4} =  \frac{x+3}{x+2} \ \textless \  \frac{5}{4}, (but the expression is never 0)
8 0
4 years ago
A baker is calculating the charge for two types of cookies.
eimsori [14]

Answer:

B)T=2.50c+1.50L that my answer

5 0
3 years ago
How do you put this numred in word form 3,152,308,
earnstyle [38]
Three-million, one hundred five-hundred fifty-two thousand, three hundred and eight.
8 0
3 years ago
Read 2 more answers
A species of phytoplankton measures about 2 × 10−6 in. A grain of sand measures about 1 × 10−4 in. About how many times longer i
Gennadij [26K]

Answer:

B. 50 times greater

Step-by-step explanation:

Given;

size of phytoplankton = 2 × 10⁻⁶ in

size of sand grain = 1 × 10⁻⁴ in

Determine how many times longer the grain of sand is than the phytoplankton.

Divide the sand size by the phytoplankton size, to find out how much greater the sand is.

This can be done by equating it as follows;

2 × 10⁻⁶ (y)  = 1 × 10⁻⁴

y = \frac{1*10^{-4}}{2*10^{-6}} \\\\y = 50

Therefore, the grain of sand is 50 times greater than the phytoplankton

B. 50 times greater

7 0
3 years ago
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