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algol13
3 years ago
10

Use the discriminant to determine the number of real solutions of the equation. x^2 = -6x - 10

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

Answer:

No real solutions.

Step-by-step explanation:

x² + 6x + 10 = 0

a = 1

b = 6

c = 10

D = b² - 4ac = 6² - 4*1*10 = 36 - 40 = - 4

- 4 < 0,

so this equation has no real solutions.

juin [17]3 years ago
3 0
The discriminators is b^2-4ac
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{\boxed{\mathcal{\purple{D.\:81}}}} ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

( {3})^{ \frac{11}{5} }  \div  {3}^{ \frac{ - 9}{5} }  \\  \\=(  {3})^{ \frac{11}{5} - ( \frac{ - 9}{5} ) }  \\ \\ = ( {3})^{ \frac{11}{5}   +  \frac{9}{5} }  \\ \\ = ( {3})^{ \frac{11 + 9}{5} } \\ \\  = ( {3})^{ \frac{20}{5} }  \\ \\  = ( {3})^{4}  \\ \\ = ( \: 3 \times 3 \times 3 \times 3 \: ) \\ \\ = 81

<u>Note</u>:-

{a}^{m}  \div  {a}^{n}  =  {a}^{m - n}

\sf\red{(-)\:x\:(-)\:=\:+}

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Charlotte makes crepes using 5/8 cup of milk for every 1/2 cup of flour. She wants to know the amount of milk uses per cup of fl
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What is the value of 5n-3 when n=5?
joja [24]

Answer:

22

Step-by-step explanation:

We are given the expression:—

\displaystyle \large{5n-3}

When n = 5, substitute/change n to 5:—

\displaystyle \large{5(5)-3}

Evaluate:—

\displaystyle \large{25-3=\boxed{22}}

__________________________________________________________

<u>Summary</u>

  <u>Substitution</u>

Changing or replacing from a term to another terms/expression is called substitution.

Examples:—

If we are given the expression \displaystyle \large{2y-1} and we want to find the value when y = 4, simply replace y-term to 4.

\displaystyle \large{2(4)-1=8-1=\boxed{7}}

__________________________________________________________

If you have any doubts regarding my answer/explanation, do not hesitate to ask in comment!

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2 years ago
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Licemer1 [7]

Answer:

7

Step-by-step explanation:

Pythagorean theorem. 24^2+b^2=25^2

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