What is p-1/4•3=-5/6

When factoring

gtnhenbr [62]

Answer:

What goes in the blank is 2

Step-by-step explanation:

In this question, we want to know what goes into the bracket when factorizing the expression above.

What we have a problem with is the terms x^2 - 4x + 4

We can rewrite this as;

x^2 -2x - 2x + 4

x(x-2) -2(x - 2)

That would thus be (x-2)^2

What goes into the bracket is thus the number 2

3 0

3 years ago

Read 2 more answers

If georgina travels 355 km in 7 hours how far will she travel in 8.5 hours at the same rate

rosijanka [135]

She'll have traveled approximately 431.07 km in 8.5 hours, also, 267.85448 miles per hour.

6 0

3 years ago

What is an equation of the line that passes through the points (-3, -2)(−3,−2) and (3, 6)(3,6)? Put your answer in fully reduced

il63 [147K]

Answer:

The equation of the line is y = $\frac{4}{3}$ x + 2

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

m is the slope of the line whose rule is $m=\frac{y2-y1}{x2-x1}$

b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

∵ The line passes through the points (-3, -2) and (3, 6)

∴ x1 = -3 and x2 = 3

∴ y1 = -2 and y2 = 6

→ Use the rule of m to find it

∵ $m=\frac{6-(-2)}{3-(-3)}=\frac{6+2}{3+3}=\frac{8}{6}$

→ Simplify it by dividing up and down by 2

∴ m = $\frac{4}{3}$

→ Substitute its value in the form of the equation above

∴ y = $\frac{4}{3}$ x + b

→ To find b substitute x and y by x1 and y1

∴ -2 = $\frac{4}{3}$ (-3) + b

∴ -2 = -4 + b

→ Add 4 to both sides

∴ -2 + 4 = -4 + 4 + b

∴ 2 = b

→ Substitute it in the form of the equation

∴ y = $\frac{4}{3}$ x + 2

∴ The equation of the line is y = $\frac{4}{3}$ x + 2

6 0

3 years ago

Big chickens: The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1387 grams

Nataliya [291]

Answer:

a) 0.2318

b) 0.2609

c) No it is not unusual for a broiler to weigh more than 1610 grams

Step-by-step explanation:

We solve using z score formula

z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following.

(a) What proportion of broilers weigh between 1150 and 1308 grams?

For 1150 grams

z = 1150 - 1387/192

= -1.23438

Probability value from Z-Table:

P(x = 1150) = 0.10853

For 1308 grams

z = 1308 - 1387/192

= -0.41146

Probability value from Z-Table:

P(x = 1308) = 0.34037

Proportion of broilers weigh between 1150 and 1308 grams is:

P(x = 1308) - P(x = 1150)

0.34037 - 0.10853

= 0.23184

≈ 0.2318

(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?

1510 - 1387/192

= 0.64063

Probabilty value from Z-Table:

P(x<1510) = 0.73912

P(x>1510) = 1 - P(x<1510) = 0.26088

≈ 0.2609

(c) Is it unusual for a broiler to weigh more than 1610 grams?

1610- 1387/192

= 1.16146

Probability value from Z-Table:

P(x<1610) = 0.87727

P(x>1610) = 1 - P(x<1610) = 0.12273

≈ 0.1227

No it is not unusual for a broiler to weigh more than 1610 grams

8 0

3 years ago

The answer below thanks

Greeley [361]

Answer:

The equation of the circle having centre (-5,-9) and radius r=3 is

x² + 10 x +y² + 14 y + 65 = 0

Step-by-step explanation:

<u>Explanation</u>:-

From graph The centre of the circle C( -5 , -7)

The radius of the circle r = 3cm from the centre of the given circle

The equation of the circle

From graph the centre ( h, k) = ( -5,-7) and r = 3cm

$(x-(-5))^2+(y-(-7))^2 = 3^2$

x² + 10 x +25 +y² + 14 y + 49 =9

x² + 10 x +25 +y² + 14 y + 49 -9=0

The equation of the circle

x² + 10 x +y² + 14 y + 65 = 0

8 0

3 years ago