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Mathematics Questions & Answers

Q:
Solve. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) \[ \sqrt{x}+1=\sqrt{x+2} \] \( x=\square \)
Q:
5,302 x 55
Q:
Solve. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) \[ -2=\sqrt{d-28}-\sqrt{d} \] \( d=\square \)
Q:
Suppose that \( y \) varies directly with \( x \), and \( y=10 \) when \( x=25 \). (a) Write a direct variation equation that relates \( x \) and \( y \). Equation: (b) Find \( y \) when \( x=6 \) \( y=\square \)
Q:
Given the system of equations: \( \left\{\begin{array}{l}x+y+z=1 \\ y-3 z=-6 \\ 2 x+y+5 z=9\end{array}\right. \) (a) Determine the type of system: inconsistent dependent (b) If your answer is dependent, find the complete solution. Write \( x, y \), and \( z \) as functions of \( t \), where \( z=t \). If your answer is inconsistent, write DNE in the box for all three variables. \( x=\square \) \( y=\square \)
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\( \int _ { 1 } ^ { 2 } \int _ { - 1 } ^ { 2 } ( 12 x y ^ { 2 } - 8 y ^ { 3 } ) d y d \)
Q:
Solve. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) \[ \sqrt{2 x-1}-\sqrt{x-1}=1 \] \( x=\square \)
Q:
\( 6 x-3 y=-6 \) \( x \)-intercept: \( y \)-intercept: \( \square \)
Q:
Find all antiderivatives for the following function Check your work by taking the derivalive, \( f(x)=10 \sec ^{2} x \) The antiderivalives of \( f(x)=10 \sec ^{2} x \) are \( F(x)=\square \)
Q:
Mrs Smith is making jam to sell at the country fair. Blackberries cost \( \$ 5.50 \) per kg . Sugar costs 65 cents per kg . 15 glass jars costs \( \$ 5.85 \) She uses 16 kg of blackberries and 10 kg of sugar to make 15 jars of jam. Calculate the total cost to make 16 jars of jam.
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