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3 years ago

Help help help please!

Mathematics

1 answer:

jonny [76]3 years ago

8 0

1. y=-3
2. y=-4
3. y=21
4. y=165

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Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \under

saw5 [17]

Answer:

$\[x^2 + 22x + 121\]$

Step-by-step explanation:

Given

$\[x^2 + 22x + \underline{~~~~}.\]$

Required

Fill in the gap

Represent the blank with k

$\[x^2 + 22x + k\]$

Solving for k...

To do this, we start by getting the coefficient of x

Coefficient of x = 22

Divide the coefficient by 2

$Result = 22/2$

$Result = 11$

Take the square of this result, to give k

$k= 11^2$

$k= 121$

Substitute 121 for k

$\[x^2 + 22x + 121\]$

The expression can be factorized as follows;

$x^2 + 11x + 11x + 121$

$x(x + 11)+11(x+11)$

$(x+11)(x+11)$

$(x+11)^2$

Hence, the quadratic expression is $\[x^2 + 22x + 121\]$

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3 years ago

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Estimate the line of best fit using two points on the line (20,62)(10,32)

Olegator [25]

Answer: y = 3x+2

Step-by-step explanation:

slope = (62-32)/(20-10)

point-slope form -> y - 32 = 3(x -10)

y = 3x+2

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2 years ago

A buyer owes a supplier $820. The terms were 3/10, n/60. Within 10 days, the buyer sent in a payment of $140. How much is the ne

Margaret [11]

Answer:

The new balance is $675.8

Step-by-step explanation:

Solution

Given that

The total amount of loan = $820.

The terms were = 3/10, n/60

Within 10 days, the buyer sent in a payment of =$140

What is the new balance =?

Now,

3/10 = if the amount is paid in 10 days, a discount of is included

n/60 = This means that all amount should be paid within 60 days

Thus,

$140 for 3/10 as this is paid within 10 days

140 *3% = 140 * 3/100

we get

=$4.2 of discount

Then,

The balance amount becomes $ 820 - 140 -4.2

=$675.8

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3 years ago

A line has a y-intercept at (0,−15) and contains the point (−4,−3). What is the equation of the line in slope-intercept form?

nydimaria [60]

Answer: $y=-3x-15$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

Since the given line has a y-intercept at (0,-15), then:

$b=-15$

The formula for calculate the slope is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Knowing that the given line contains the points (0,-15) and (-4,-3), we can calculate the slope. This is:

$m=\frac{-15-(-3)}{0-(-4)}=-3$

Substituting values into $y=mx+b$ , we get that the equation of the line in Slope-Intercept form is:

$y=-3x-15$

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3 years ago

A square plot of land is g miles on each side, what is the perimeter of the land?

Nezavi [6.7K]

for a square

P = 4s where s is the side length

P = 4g

Answer: 4g miles

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3 years ago

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