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gayaneshka [121]
2 years ago
13

( x + 30 ) ( x + 40 ) solve for x

Mathematics
2 answers:
PolarNik [594]2 years ago
7 0

Answer:

Step-by-step explanation:

(x+30)(x+40)

X(x+40) +30(X+40)

X²+40x+30x+1200

X²+70x+1200

by applaying quadrtic fromula we get

a=1, b=70, c=1200

(-b ± √(b2 − 4ac))/(2a)

put the values

(-70±√(70)²-4(1)(1200)/2(1)

(-70±√4900-4800)/2

(-70±√100)/2

(-70±10)/2

either                                       or

-70+10/2                                    -70-10/2

-60/2                                             -80/2

-30                                                   -40

so x={-30,-40}

vazorg [7]2 years ago
5 0

Answer:

X^2 + 70x + 12000

Step-by-step explanation:

Is that what you wanted? I got that by using the distributive method.  

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The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27, y is 6. What is the constant
ira [324]
\bf \qquad \qquad \textit{double proportional variation}
\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf \stackrel{\textit{\underline{y} varies directly with the square of \underline{x} and inversely with \underline{z}}}{y=\cfrac{kx^2}{z}}
\\\\\\
\textit{we also know that }
\begin{cases}
x=9\\
z=27\\
y=6
\end{cases}\implies 6=\cfrac{k9^2}{27}
\\\\\\
\cfrac{27\cdot 6}{9^2}=k\implies 2=k
4 0
3 years ago
IF P(A)=1/3, P(B)=2/5, and P(AuB)=3/5, what is P(A^B)?
Bumek [7]

The probability of the union of two events is the sum of their probability, minus the probability of their interserction:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

If we plug the known values into this formula, we have

\dfrac{3}{5} = \dfrac{1}{3} + \dfrac{2}{5} - P(A\cap B)

From which we can deduce

P(A\cap B) = \dfrac{1}{3} + \dfrac{2}{5} - \dfrac{3}{5} = \dfrac{2}{15}

So, the probability of A \setminus B is a bit less than P(A), we have to take away all events that belong to B as well:

P(A \setminus B) = P(A) - P(A\cap B) = \dfrac{1}{3} - \dfrac{2}{15} = \dfrac{1}{5}

3 0
3 years ago
Can somebody please help me
guajiro [1.7K]

Here is your answer

B. (12,30)

REASON:

Given,

y= 2x+6 .......(i)

3x-y= 6 .......(ii)

Putting the value of y from eq.i in eq.ii we get

3x-(2x+6)=6

3x-2x-6=6

=6+6

x=12

Putting x=12 in eq.i we get

y= 2x+6

y= 2×12+6

y= 24+6

y= 30

So,

\bold{x=12 and y= 30}

Hence answer is (12,30) in which x=12 and y=30

HOPE IT IS USEFUL

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3 years ago
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Tasya [4]
Answer: maybe 20 cm
7 0
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Write the equation of the line in slope-intercept form
NikAS [45]

Answer: Y = 7/8x+ 2.25

Step-by-step explanation:

  • you would subtract both y  7
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8 0
3 years ago
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