All categories

3 years ago

Help ASAP

Mathematics

1 answer:

Contact [7]3 years ago

6 0

Answer:

The second: $\bold{f (x) =4(x+\frac34)^2-\frac{21}4}$

Step-by-step explanation:

$f (x) =4x^2+6x-3\\\\f (x) =4(x^2+\frac64x]-3\\\\f (x) =4[x^2+2\cdot x\cdot\frac34+(\frac34)^2-(\frac34)^2]-3\\\\f (x) =4[(x+\frac34)^2-(\frac34)^2]-3\\\\f (x) =4(x+\frac34)^2-4(\frac34)^2-3\\\\f (x) =4(x+\frac34)^2-\frac94-\frac{12}4\\\\\underline{f (x) =4(x+\frac34)^2-\frac{21}4}$

You might be interested in

Which of the following are steps to use when formulating an equation? Check all that apply.

Ber [7]

Answer:

A and B

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Consider a refrigerator that consumes 320 W of elec- tric power when it is running. If the refrigerator runs only one quarter of

irinina [24]

Answer: The refrigerator cost in this month is $4.5 approximately.

Step-by-step explanation:

Since we have given that

Amount of watt of electric power = 320 W

Number of days = 30

Unit cost of electricity = $0.13/Kwh

Hold factor = $\dfrac{1}{4}$

Number of hours in a month = 24

So, the refrigerator cost in this month would be

$0.13\times 0.32\times \dfrac{1}{4}\times 30\times 24\\\\=\$7.488$

Hence, the refrigerator cost in this month is $4.5 approximately.

3 0

3 years ago

A public library has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2.5 feet. The heigh is 4 feet. How m

topjm [15]

sides 2 * 6 * 4 =48 and 6*4=24

bottom 6*2.5 =15

2.5*4=10

10*2=20 that's the area of 2 smaller sides

Step-by-step explanation:

we add up the dimensions together 48+20+15=83

so the final equation becomes (6*2.5)+2(2.5*4)+2*(6*4)=83

8 0

2 years ago

A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. The napkin has a perimeter of 38 c

gavmur [86]

The area of plate which is covered by the napkin is equal to the area of folded napkin.

Before finding the area of folded napkin, we should find the dimension of the napkin.
Find the length of the leg side, the two leg has similar length.
perimeter = 38
l + l + 8 = 38
2l + 8 = 38
2l = 30
l = 15
Each leg is 15 cm long.

Find the area of folded napkin
area = 1/2 × s × s × sin of angle between the sides
area = 1/2 × 15 × 15 × sin 30°
area = 1/2 × 15 × 15 × 1/2
area = 225/4
area = 56.25
to the nearest whole number >> 56 cm²
The answer is third option

6 0

3 years ago

Read 2 more answers

In the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37

djyliett [7]

Answer:

More than 50% would germinate

Step-by-step explanation:

Given that in the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37 of them germinated

Let us check whether more than 50% will germinate using hypothesis test

$H_0: p = 0.50\\H_a: p>0.50\\$

(right tailed test)

Sample proportion p = $\frac{37}{60} =0.617\\q = 0.383\\Std error = \sqrt{\frac{pq}{n} } =0.0628$

p difference = 0.117

Test statistic Z = p difference/std error = 1.864

p value =0.0312

Since p value <0.05 our significance level of 5% we reject null hypothesis

It is possible to claim that most of the seed will germinate (i.e. more than 50%)

7 0

2 years ago