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jonny [76]
3 years ago
13

{2x}^{2} + 14x + 24 " alt="f(x) = {2x}^{2} + 14x + 24 " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Naily [24]3 years ago
5 0

Answer:

Step-by-step explanation:

f(x) = 2x²  + 14x + 24

     = 2x² + 8x + 6x  + 6*4

      = 2x*(x + 4) + 6*(x + 4)

     = (x + 4)(2x + 6)

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Find the X intercept and the Y intercept of the graph of the equation. 9/8x+8y=18
aleksandr82 [10.1K]

Answer:

\large\boxed{x-intercept=16\to(16,\ 0)}\\\boxed{y-intercept=\dfrac{9}{4}\to\left(0,\ \dfrac{9}{4}\right)}

Step-by-step explanation:

\dfrac{9}{8}x+8y=18\\\\x-intercept\ \text{is for}\ y=0:\\\\\dfrac{9}{8}x+8(0)=18\\\\\dfrac{9}{8}x+0=18\\\\\dfrac{9}{8}x=18\qquad\text{multiply both sides by}\ \dfrac{8}{9}\\\\\dfrac{8\!\!\!\!\diagup^1}{9\!\!\!\!\diagup_1}\cdot\dfrac{9\!\!\!\!\diagup^1}{8\!\!\!\!\diagup_1}x=\dfrac{8}{9\!\!\!\!\diagup_1}\cdot18\!\!\!\!\!\diagup^2\\\\x=16\\\\y-intercept\ \text{is for}\ x=0:\\\\\dfrac{9}{8}(0)+8y=18\\\\0+8y=18\\\\8y=18\qquad\text{divide both sides by 8}\\\\y=\dfrac{18}{8}\\\\y=\dfrac{9}{4}

8 0
3 years ago
Read 2 more answers
In the diagram below line an and cd are
daser333 [38]

Answer:

I THINK IT IS B BECAUSE IT WOULD MAKE SENCE

Step-by-step explanation:

6 0
4 years ago
I dont understand how to do these three questions
saul85 [17]
9.
Well the first has the angles being 3x+12,x,and 90 so they have to add up to 180 degrees because it is a triangle.
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6 0
3 years ago
Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 43 day
Sunny_sXe [5.5K]

Answer: 0.0688

Step-by-step explanation:

Given : Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 43 days and a standard deviation of 10.1 days.

i.e. \mu=43  and \sigma= 10.1

Let x represents the  life expectancies of a certain protozoan.

Sample size : n= 25

The probability that a simple random sample of 25 protozoa will have a mean life expectancy of 46 or more days. :-

P(x\geq46)=1-P(x

=1-0.9312=0.0688   [using z-value table]

Hence, the required probability = 0.0688

7 0
3 years ago
3.3. Shuffle a deck of cards and turn over the first card. What is the probability that the first card is a
Rus_ich [418]

Answer:

P(H) = 13 ÷ 52

Step-by-step explanation:

The computation of the probability that the first card be the heart is given below:

We assume that each and every card in the deck would be likely to be the first card

Here we assume the Hi that represent the first card drawn be the heart

NOw

P(Hi) = 1  ÷ 52 for

1 < = i < =13.

The H event would be represent as the disjoint union

H = H1 U H2 U.....U H13

P(H) = 13 ÷ 52

5 0
3 years ago
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