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3 years ago

Help me solve this question and thanks !

Mathematics

2 answers:

ludmilkaskok [199]3 years ago

8 0

Answer:

Step-by-step explanation:

x^2+8x+15

=x^2+(5+3)x+15

=x^2+5x+3x+15

=x(x+5)+3(x+5)

=(x+5)(x+3)

morpeh [17]3 years ago

4 0

$(x + 3)(x + 5)$ ✅

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

${x}^{2} + 8x + 15 \\ ={x}^{2} + 5x + 3x + 15$

Taking $x$ as common from first two terms and 3 from last two terms, we have

$=x(x + 5) + 3(x + 5)$

Taking the factor $(x+5)$ as common,

$= (x + 3)(x + 5)$

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}$

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Fiona is serving iced tea and lemonade at a picnic. She has only 44 cups in which to serve the drinks. If x represents the numbe

pav-90 [236]

Number of cups that Fiona has for serving iced tea and lemonade = 44
Number of glasses of iced tea served = x
Number of glasses of lemonade served = y
Then the equation can be represented by
x + y = 44
x = 44 - y

3 0

3 years ago

Read 2 more answers

A or B or C or D which expression??

zhenek [66]

Answer:

option A

Step-by-step explanation:

Notice that you need to emulate the series: 1 + 5 + 25 + 125 + 625 (a five total term series)

with the indicated sums.

The first term in the your series (addition) has to be "1". This fact already gets rid of two of the suggested sums (B, and D) because their first term is $5^1=5$ .

So, now analyzing the options A and C, we notice that A has a sum from i=0 to 4 (which gives a total of five terms ao, a1, a2, a3, and a4, while option C has a total of six terms (from i = 0 to 5): a0, a1, a2, a3, a4, a5.

S, the obvious candidate is option A. So now evaluate the five terms corroborating that:

$5^0 + 5^1+5^2+5^3+5^4=\\=1+5+25+125+625$

Therefore, option A is the answer

5 0

3 years ago

HELPPPPPPPPP i have the most trouble with math what’s the answer??

lakkis [162]

Answer:

Second Option

$\frac{5\sqrt{11} +5\sqrt{3}}{8}$

Step-by-step explanation:

To simplify the expression you must multiply the numerator and the denominator of the fraction by the conjugate of the denominator.

If you have an expression of the form

$a -b$ then its conjugate will be $a + b.$

The result of that multiplication will be

$a ^ 2 -b ^ 2$

Therefore we have the expression

$\frac{5}{\sqrt{11} -\sqrt{3}}$

By multiplying by the conjugate of the denominator we have

$\frac{5}{\sqrt{11} -\sqrt{3}}*\frac{\sqrt{11} +\sqrt{3}}{\sqrt{11} +\sqrt{3}}\\\\\\\frac{5(\sqrt{11} +\sqrt{3})}{(\sqrt{11})^2 -(\sqrt{3})^2}\\\\\\\frac{5\sqrt{11} +5\sqrt{3}}{11 -3}\\\\\\\frac{5\sqrt{11} +5\sqrt{3}}{8}$

6 0

2 years ago

A triangular pane of glass has a height of 30 inches and an area of 270 square inches. what is the length of the base pane

Tems11 [23]

The equation for the area of a triangle is A= b*h /2. So, plug in your known variables, and you get 270in^2= b*30 /2. First you multiply by 2 to cancel out the division for 2, which gets you 540= b* 30. To get "b" by itself, divide both sides by 30, giving you <u>18=b</u>.

To check this, plug in your new known variable, as 270= 18* 30 /2. This will equal as 270=270, confirming 18in as the correct measurement.

3 0

2 years ago

Please help me thank you

ladessa [460]

Answer:

Step-by-step explanation:

5 0

3 years ago