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Anuta_ua [19.1K]
3 years ago
10

How do you solve 4x^2+20x+25=0 by completing the square

Mathematics
1 answer:
svlad2 [7]3 years ago
3 0
(2x+5)(2x+5)= 0

2x+5=0. 2x+5=0

x= -5/2, x= -5/2
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What is The simple interest earned on a deposit of $3000 at 6% for five years
Norma-Jean [14]

Answer: $900

Step-by-step explanation:

The simple interest is calculated using the formula:

(P × R × T)/100

where,

P = Principal = $3000

R = Rate = 6%

T = Time = 5 years

Simple Interest = (P × R × T)/100

= ($3000 × 6 × 5)/100

= 90000/100

= $900

Therefore, the simple interest is $900

4 0
3 years ago
In a survey of 12 people, it was found that an average of $36 was spent on their child's last birthday gift with a standard devi
Nataliya [291]

Answer:

(27.3692 ; 44.6308)

Step-by-step explanation:

Mean, xbar = 36

Standard deviation, s = 11

Sample size, n = 12

Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Margin of Error = 2.718 * 11/sqrt(12) = 8.6308

Confidence interval :

Lower boundary : 36 - 8.6308 = 27.3692

Upper boundary : 36 + 8.6308 = 44.6308

(27.3692 ; 44.6308)

3 0
3 years ago
How to represent y=4x+50 on a graph
adelina 88 [10]
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5 0
3 years ago
Write the linear equation that gives the rule for this table.
MAVERICK [17]

Answer:

The linear equation that gives the rule for this table will be:

  • y=x+25

Step-by-step explanation:

Taking two points from the table

  • (2, 27)
  • (3, 28)

Finding the slope between two points

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:27\right),\:\left(x_2,\:y_2\right)=\left(3,\:28\right)

m=\frac{28-27}{3-2}

m=1

We know the slope-intercept form of linear equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting the point (2, 27) and m=1 in the slope-intercept form to determine the y-intercept 'b'

y=mx+b

27 = 1(2)+b

27-2 = b

b = 25

Now, substituting m=1 and b=25 in the slope-intercept form to determine the linear equation

y=mx+b

y=1(x)+25

y=x+25

Thus, the linear equation that gives the rule for this table will be:

  • y=x+25
4 0
2 years ago
How do you do it can you guys help me please
Usimov [2.4K]
To answer 13 you have to convert the numbers there are 8 pints in a gallon so 64/8=8 so there are 8 gallons
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7 0
3 years ago
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