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3 years ago

Replace * with a number in such a way that the trinomial could be written in the form a(x+b)^2 or a(x-b)^2.

Mathematics

2 answers:

weqwewe [10]3 years ago

6 0

Answer:

a) 6
b) 3.125 or 25/8

Step-by-step explanation:

1.5x² + 6x + * =
1.5(x² + 4x + *) =
1.5(x² + 2*2x + 4) =
1.5(x + 2)²
* = 1.5*2² = 6

2x² - 5x + * =
2(x² - 2.5x + *) =
2(x² - 2*1.25x + 1.25²)=
2(x - 1.25)²
* = 2*(1.25)² = 3.125 or 25/8

Lostsunrise [7]3 years ago

3 0

Answer:

Solution given;

a. 1.5x^2+6x+*

1.5(x²+4x+*)

1.5(x²+2.2x+2²)

1.5(x+2)²

b) 2x^2-5x+*

2(x²-5x/2+*)

2(x²-2×5/4 ×x +(5/4)²)

2(x-5/4)²

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WILL GIVE BRAINLET !!! 2 1/12 + 4/12 ( show how u her the answer )

spin [16.1K]

Answer:

2 5/12

Step-by-step explanation:

you can combine two fractions if they have the same denominator (bottom number) by adding the numerators (top numbers) and keeping the bottom number the same.

1/12+4/12 is the same as 1+4 you just put the sum over 12:

2 1/12+4/12= 2 5/12

it can also be written as 29/12

8 0

3 years ago

A simple random sample of size n equals 200 individuals who are currently employed is asked if they work at home at least once p

____ [38]

Answer: 99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

Step-by-step explanation:

step 1:-

Given sample size n=200

of the 200 employed individuals surveyed 41 responded that they did work at home at least once per week

Population proportion of employed individuals who work at home at least once per week P = $\frac{x}{n} =\frac{41}{200} =0.205$

Q=1-P= 1-0.205 = 0.705

step 2:-

Now $\sqrt{\frac{P Q}{n} } =\sqrt{\frac{(0.205)(0.705)}{200} }$

=0.0015

step 3:-

Confidence intervals

using formula

$(P - Z_∝} \sqrt{\frac{P Q}{n},} (P + Z_∝} \sqrt{\frac{P Q}{n},$

$(0.205-2.58(0.0015),0.205+2.58(0.0015)\\0.20113,0.20887$

=0.20113,0.20887[/tex]

conclusion:-

99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

4 0

3 years ago

which equations are equivalent to 3/4+m=-7/4 check all that apply m=10/4 m=-10/4 m=-5/2 11/4+m=-1/4 -5/4+m=-15/4 m+2=-0.5 Help f

Alecsey [184]

Answer:

The correct choices are; B,C,E, and F.

Step-by-step explanation:

The given equation is;

$\frac{3}{4}+m=-\frac{7}{4}$

We solve for m to obtain:

$m=-\frac{7}{4}-\frac{3}{4}=-2.5$

We also solve the remaining equations to see which ones give the same result.

A: $m=\frac{10}{4} =2.5$

B: $m=-\frac{10}{4} =-2.5$

C: $m=-\frac{5}{2} =-2.5$

D: $\frac{11}{4}+m=-\frac{1}{4}$

$m=-\frac{1}{4}-\frac{11}{4}=-3$

E: $-\frac{5}{4}+m=-\frac{15}{4}$

$m=-\frac{15}{4}+\frac{5}{4}=-2.5$

F: $m+2=-0.5$

$m=-0.5-2=-2.5$

The equivalent equations are; B,C,E, and F.

3 0

3 years ago

Read 2 more answers

Given parallelogram ABCD , diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8 . Find the length of AC

Crank

Answer:

I think the answer shod be B

3 0

3 years ago

What do I have to do

hichkok12 [17]

Answer:

+15

-721

+462

-1200

The positives are because it said 'above sea level', the negatives because it said 'below sea level' and zero because it said 'sea level'.

3 0

3 years ago