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2 years ago

Help 30 points please

Mathematics

1 answer:

polet [3.4K]2 years ago

8 0

Answer:

x = 1 or

x = - 7

To get rid of the square root. Isolate the square root and it's multiple. Then square both sides to get rid of it. Don't forget to square the multiple, in this case - 2 becomes 4. Solve for x like you normally do.

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Two lines intersect in _____. one plane many planes one point many points

Effectus [21]

Two lines intersect in one point.

5 0

2 years ago

Read 2 more answers

The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3 are…

Leokris [45]

Answer:

$\boxed{\sf x- intercepts = 0 , 5 \ and \ -4}$

Step-by-step explanation:

A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,

$\sf \implies f(x) = 2x( x - 5 ) ^2(x+4)^3$

For finding the x intercept , equate the given function with 0, we have ;

$\sf \implies 2x ( x - 5 )^2(x+4)^3= 0$

Equate each factor with 0 ,

$\sf \implies 2x = 0$

Divide both sides by 2 ,

$\sf \implies\bf x = 0$

Again ,

$\sf \implies ( x - 5)^2=0$

Taking squareroot on both sides,

$\sf \implies x - 5 = 0$

Add 5 to both sides,

$\sf \implies \bf x = 5$

Similarly ,

$\sf \implies \bf x = -4$

Hence the x Intercepts are -4 , 0 and 5 .

{ See attachment also for graph } .

3 0

3 years ago

A town recently dismissed 9 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of ag

raketka [301]

Answer: 0.1340

Step-by-step explanation:

The binomial distribution formula is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The number of employees over 50 years of age =7

The probability of employees over 50 years of age = $\dfrac{7}{7+15}=0.318$

Number of dismissed employees : n= 9

Now, the required probability will be :

$P(x =1)=^{9}C_1(0.318)^{1}(1-0.318)^{9-1}\\\\=(9)(0.318)(1-0.318)^{8}=0.133950588714\approx0.1340$

Thus, the probability that exactly 1 employee was over 50 = 0.1340

3 0

2 years ago

Factorize this term: (a+b)raise to the power of 4 +4

zimovet [89]

Answer:

(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)

Step-by-step explanation:

Given :

(a + b)⁴⁺⁴

Solving :

(a + b)⁸
(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)(a + b)

8 0

2 years ago

The perimeter of GHJ

Dafna1 [17]

They have a scale factor of 5:6 so first we need to find the perimeter of KLM:
$11 + 14 + 17 = 42$
Then apply the scale factor of 5:6:
$\frac{5}{6} = \frac{x}{42}$
Set the denominators equal:
$\frac{35}{42} = \frac{x}{42}$
So we see that the perimeter of GHJ is 35.

6 0

3 years ago