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NemiM [27]
3 years ago
10

Plsss help will mark brainiest

Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0
C is the correct answer
You might be interested in
(I) x²-8x = -16<br>(ii) x²+2x+1 = 0<br>(iii) 4x²-24x-36=0<br>Solve please...........​
algol13

(I)

Given equation is x²-8x = -16

⇛ x²-8x+16 = 0

⇛ x²-4x-4x+16 = 0

⇛ x(x-4)-4(x-4) = 0

⇛ (x-4)(x-4) = 0

⇛ x-4 = 0 or x-4 = 0

⇛ x = 4 or x = 4

(ii)

Given equation is x²+2x+1 = 0

⇛ x²+x+x+1 = 0

⇛ x(x+1)+1(x+1) = 0

⇛ (x+1)(x+1) = 0

⇛ x+1 = 0 or x+1 = 0

⇛ x = -1 or x = -1

(iii)

Given equation is 4x²-24x-36 = 0

⇛ 4(x²-6x-9) = 0

⇛ x²-6x-9 = 0

⇛ x²-2(x)(3) = 9

On adding 3² both sides then

⇛ x²-2(3)x)+3² = 9+9

⇛ (x-3)² = 18

⇛ (x-3) = ±√18

⇛ x-3 = ±√(2×9)

⇛ x-3 = ±3√2

⇛ x = 3±3√2

⇛ x = 3+3√2 or 3-3√2

5 0
2 years ago
20 POINTS!!!<br><br> I need help urgently with the question in the picture below!
Elodia [21]
Let f(x)=ax+b
11a+b=23.55
12a+b=25.35

solve: a=1.8 b=3.75
so ..

f(x)=1.8x+3.75
if x=31 , f(x)=59.55
7 0
3 years ago
A manager of a grocery store wants to determine if consumers are spending
ololo11 [35]

Answer:

1. The error in the assumption is taking the sample mean, \bar x, as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}

Step-by-step explanation:

We note that from the central limit theorem as the size of the sample, n, becomes more and more larger, the mean of the sample, \bar x, approaches that of the population mean, μ, therefore as the grocery store manager uses the sample mean as the population mean's point estimate an error will be observed based on the size of the sample compared to the population, where the difference between the two means (the population mean and the sample mean) is \left | \bar{x} - \mu \right |

1. The error in the assumption is taking the sample mean, \bar x, as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}

Where:

σ = Population standard deviation = $30

z = z value at 95% confidence level = 1.96

\bar x = Sample mean $160

n = Sample size = 10

Plugging in the values, we have;

$141.4 < \bar x < $178.6

Hence the expected value of the mean should be between $141.4 and $178.6.

7 0
3 years ago
On a number line, what is x-4&lt;-3?
goblinko [34]

Add 4 to both sides

x - 4 < -3

x-4+4 < -3+4

x < 1

To graph this on a number line, plot an open circle at 1 on the number line. Do not fill in the open circle. Shade to the left of the open circle. The shaded region represents all x values smaller than 1.

The graph is shown below.

3 0
3 years ago
Given: line AB is congruent to line CD and line AD is congruent to line BC. Prove: angle D is congruent to angle B
torisob [31]
AD = BC ----> Parallel lines
AC = AC -----> Reflexive property
<A = <C -----> Congruent angles
<D = <B -----> Congruent angles
6 0
3 years ago
Read 2 more answers
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