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frez [133]
3 years ago
11

100 points. solve the equation and check the solution

Mathematics
1 answer:
jeka943 years ago
3 0

a)\\a+2.4=7.8\\a=7.8-2.4\\a=5.4\\\\b)\\b-\dfrac{1}{4} =3\dfrac{1}{2} \\b-0.25=3.5\\b=3.5+0.25\\b=3.75=3\dfrac{3}{4} \\\\c)\\\dfrac{1}{3} s=\dfrac{1}{5} \\s=\dfrac{1}{5}\div\dfrac{1}{3}\\s=\dfrac{1}{5}\times3\\s=\dfrac{3}{5} \\\\d)\\3x=27\\x=27\div3\\x=9\\\\e)\\\dfrac{t}{4} =16|\times4\\t=64\\\\f)\\\dfrac{w}{7} =0.3|\times7\\w=2.1

Check:

a)\\5.4+2.4=7.8\\correct\\\\b)\\3\dfrac{3}{4}-\dfrac{1}{4} -3\dfrac{2}{4}=3\dfrac{1}{2}\\correct\\\\c)\\\dfrac{1}{3} \times \dfrac{3}5=\dfrac1{5}\\correct\\\\d)\\3\times9=27\\correct\\\\e)\\\dfrac{64}{4} =16\\corect\\\\f)\\\dfrac{2.1}{7} =0.3\\correct

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Answer:

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Step-by-step explanations

if a function h(x) passes through [a,b] then it can be said that h(a)=b.

given that, g(x) passes through (-2,0) and (0,4)

so, g(-2)=0, g(0)=4.

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so, f(2)=0, f(0)=4.

therefore, f(0)=g(0)=4.

so, first option is correct.

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serg [7]

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2. The symbol in the given means that the two lengths are congruent which means they are equal to each other so you put the two equations equal to each other and solve for y. 9y -2 = 14 + 5y, so subtract 5y from both sides and add two to both sides to get 4y = 16 and then divide both sides by 4 to get y = 4 and then substitute in the answer to find the lengths of AB and BC.

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