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skelet666 [1.2K]
2 years ago
15

Write the equation of the line that has a slope of -3/2 and passes through (4, -3)

Mathematics
1 answer:
GREYUIT [131]2 years ago
8 0

Answer:

y = -3/2x + 3

Step-by-step explanation:

y = -3/2x + b

-3 = -3/2(4) + b

-3 = -6 + b

3 = b

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Simplify 4/9 + 1/3<br> A 5/12<br> B 7/9<br> C 1 1/9<br> D 15/9
ELEN [110]

Answer:

B) 7/9

Step-by-step explanation:

<h3>Fraction addition:</h3>
  • If the denominators are not same, find the LCM of the denominators.

          LCM of 3 and 9 is 9.

  • Now, find equivalent fractions with denominator as 9.

          \sf \dfrac{1}{3}=\dfrac{1*3}{3*3}\\\\

              \sf =\dfrac{3}{9}

  • Now add.

      \sf \dfrac{4}{9}+\dfrac{1}{3}=\dfrac{4}{9}+\dfrac{3}{9}\\\\

                 \sf =\dfrac{7}{9}

4 0
1 year ago
Read 2 more answers
Consider the inequality -20.2 &gt; 0y. Which of the following must be true? Check all that apply. You cannot divide by zero. The
Katarina [22]

Answer:

You can not divide by zero.

The inequality is equivalent to - 20.2 > 0 which is false.

Step-by-step explanation:

We can not divide both sides by zero, because if we divide both sides by zero, then the inequality becomes

- \frac{20.2}{0} > y

⇒ - ∞ > y, which is not possible.

Again, the given inequality is - 20.2 > 0 × y.

We have to multiply y with zero and a product of zero with any term is also zero.

Hence, the inequality becomes - 20.2 > 0.

Therefore, the inequality is equivalent to - 20.2 > 0 which is false. (Answer)

4 0
2 years ago
Read 2 more answers
Use f’( x ) = lim With h ---&gt; 0 [f( x + h ) - f ( x )]/h to find the derivative at x for the given function. 5-x²
beks73 [17]
<h2>Answer:</h2>

The derivative of the function f(x) is:

                 f'(x)=-2x

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as:

f(x)=5-x^2

We have:

f(x+h)=5-(x+h)^2\\\\i.e.\\\\f(x+h)=5-(x^2+h^2+2xh)

( Since,

(a+b)^2=a^2+b^2+2ab )

Hence, we get:

f(x+h)=5-x^2-h^2-2xh

Also, by using the definition of f'(x) i.e.

f'(x)= \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}

Hence, on putting the value in the formula:

f'(x)= \lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-(5-x^2)}{h}\\\\\\f'(x)=\lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-5+x^2}{h}\\\\i.e.\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2-2xh}{h}\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2}{h}+\dfrac{-2xh}{h}\\\\f'(x)=\lim_{h \to 0} -h-2x\\\\i.e.\ on\ putting\ the\ limit\ we\ obtain:\\\\f'(x)=-2x

      Hence, the derivative of the function f(x) is:

          f'(x)=-2x

3 0
3 years ago
Read 2 more answers
Find the inverse of y = x² + 3
eduard

Answer:

Step-by-step explanation:

\sqrt\\ x-3   and -\sqrt{x-3

3 0
2 years ago
a family has five children. the probability of having a girl is 1/2. whats probability of having at leasr 4 girls g'
Dima020 [189]

Answer:

Probability of having at least 4 Girls

= 0.6875

Step-by-step explanation:

Probability of having at least 4 Girls is 1-probability of having exactly 3 girls

Total number of children= 5 = N

Probability of having a girl p = 0.5

Probability of not having a girl q= 0.5

X= 3

Probability of at least 4 girls is given by

Probability= NCX(p)^x(q)^(N-x)

Probability = 5C3(0.5)^3(0.5)^(5-3)

Probability = 5C3(0.5)^3(0.5)^2

Probability= 5!/3!2!(0.5)^3(0.5)^2

Probability= 10(0.125)(0.25)

Probability= 0.3125

Probability of having at least 4 Girls

= 1- 0.3125

= 0.6875

7 0
2 years ago
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