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sasho [114]
2 years ago
6

What is f(x) = 8x2 + 4x written in vertex form?

Mathematics
1 answer:
Alinara [238K]2 years ago
9 0

Answer:

Vertex form: f(x)=8(x+\frac{1}{4}

Step-by-step explanation:

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2 A pharmacist has a 13 % alcohol solution and another 18 % alcohol solution. How much of each must he use to make 50 grams of a
nalin [4]
<h2>Therefore he took 40 gram of 1^{st} type solution and 10 gram of 2^{nd} type solution.</h2>

Step-by-step explanation:

Given that , A pharmacist 13% alcohol solution another 18% alcohol solution .

Let he took x gram solution of 1^{st} type solution

and he took (50-x) gram of 2^{nd} type solution.

Total  amount of alcohol =[x\times\frac{13}{100}] +[(50 -x) \times\frac{18}{100} ] gram

Total amount of solution = 50 gram

According to problem

⇔\frac{ [x\times\frac{13}{100}] +[(50 -x) \times\frac{18}{100} ]}{50}= \frac{14}{100}

⇔\frac{13x +900-18x}{100\times50} =\frac{14}{100}

⇔- 5x= 700 - 900

⇔5x = 200

⇔x = 40 gram

Therefore he took 40 gram of 1^{st} type solution and (50 -40)gram = 10 gram of 2^{nd} type solution.

7 0
2 years ago
Read 2 more answers
your friend deposits $9500 in an investment account that earns 2.1% annual interest. what is the balance after 11 years when the
solmaris [256]

Answer:

The answer is "$ 11,961.43"

Step-by-step explanation:

Given values:

P =  $ 9500

r= 2.1 %

time (t)= 11 year

total quarterly year =4

Formula:

A= P (1+\frac{r}{n})^{nt}\\\\

quarterly time = 4 \times 11

                         = 44

A= P (1+\frac{r}{n})^{nt}\\\\

A = 9500 ( 1+ \frac{0.021}{4})^{44}\\\\A = 9500(\frac{4+ 0.021}{4} )^{44} \\\\A = 9500(\frac{4.021}{4} )^{44} \\\\A= 9500 (1.00525)^{44}\\\\A= 9500(1.25909819)\\\\A= 11,961. 43\\

8 0
2 years ago
ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ant legs L Elena w
barxatty [35]

Answer:

Neither are correct.

Step-by-step explanation:

The number of legs = the number of ants * 6.

The relationship is L = 6 a   so neither are correct.

7 0
2 years ago
Read 2 more answers
Complete the sentence below. If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)(???????) =???? .
g100num [7]

Answer: The answer is (x+7)(3x+1)=33x^2+22x+7.

Step-by-step explanation: Given that

(3x2 + 22x + 7) \div(x + 7) = 3x + 1,

and we are to complete the following sentence:

(x+7)(???)=???

We have the following division algorithm for polynomials

\textup{If }a(x)\times b(x)=c(x),\\\textup{then, we have }\\\\\dfrac{c(x)}{b(x)}=a(x)~~~~~\textup{or}~~~~~~c(x)\div b(x)=a(x).

Here, a(x) = quotient, b(x) = divisor and c(x) = dividend.

Applying this rule in the given problem, we have

\textup{since }(3x2 + 22x + 7) \div(x + 7) = 3x + 1,\\\\\textup{so, }\\\\(x+7)(3x+1)=3x^2+22x+7=0.

Thus, the complete sentence is

(x+7)(3x+1)=3x^2+22x+7=0.

7 0
2 years ago
Read 2 more answers
What is greater than 1.45? A. 0.009 B. 0.019 C. 0.0032 D. 0.0177
8_murik_8 [283]

Answer:

none of them are greater than 1.45

8 0
2 years ago
Read 2 more answers
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