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2 years ago

Can anyone help me solve this question

Mathematics

1 answer:

Arisa [49]2 years ago

8 0

9514 1404 393

Answer:

a=2√2+4
b = 3

Step-by-step explanation:

√24 = 2√6

√48 = 4√3

Then the sum is ...

√24 +√48 = 2√6 +4√3

Factoring out √3, we have ...

= (2√2 +4)√3

Matching this to the form a√b, we have

(2√2+4)√3 ⇒ a=2√2+4, b = 3

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3 years ago

What is the y-value of the vertex of the function f(x)=-(x-3)(x+11)

lutik1710 [3]

so, this is a quadratic equation, meaning two solutions, and we have a factored form of it, meaning you can get the solutions by simply zeroing out the f(x).

$\bf \stackrel{f(x)}{0}=-(x-3)(x+11)\implies 0=(x-3)(x+11)\implies x= \begin{cases} 3\\ -11 \end{cases} \\\\\\ \boxed{-11}\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}-4\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}\boxed{3}$

so the zeros/solutions are at x = 3 and x = -11, now, bearing in mind the vertex will be half-way between those two, checking the number line, that midpoint will be at x = -4, so the vertex is right there, well, what's f(x) when x = -4?

$\bf f(-4)=-(-4-3)(-4+11)\implies f(-4)=7(7)\implies f(-4)=49 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{vertex}{(-4~~,~~49)}~\hfill$

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2 years ago

.01mg is larger than .001g true or false

zloy xaker [14]

Answer

False

Step-by-step explanation:

3 0

3 years ago

andres has 4 bunches of balloons. there are 6 balloons in each bunchs how many balloons does andres have in all

Whitepunk [10]

$\large{|\underline{\mathtt{\red{G}\blue{i}\orange{v}\pink{e}\blue{n}\purple{}\green{}\red{↯}\blue{}\orange{}}}}$

1 bunch of balloons contain 6 balloons

$\large{|\underline{\mathtt{\red{T}\blue{o}\orange{\:}\pink{F}\blue{i}\purple{n}\green{d}\red{↯}\blue{}\orange{}}}}$

Number of balloons in 4 bunches = ?

$\large\underline{\underline{\maltese{\purple{\pmb{\sf{\: Solution :-}}}}}}$

To find the number of balloons in 4 bunches we need to multiply the bumber of balloons in 1 bunch by the number of bunches.

$\tt\multimap \: number \: of \: balloons \: in \: 1 \: bunch \times number \: of \: bunches$

$\sf \nrightarrow \: 6 \times 4 = 24$

➪ Thus, There are 24 balloons in 4 bunches...~

8 0

2 years ago

Read 2 more answers

Which number belongs to the solution set of the equation below?

ollegr [7]

The correct answer would be: C. 44
Explanation: If you're trying to find out x's value, you have to do the inverse operation which means if it's subtraction, you add. So to find x's value, you'd add 36 + 8 = x. And 36 + 8 = 44. So therefore, x = 44. That means the answer is C.

5 0

2 years ago