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3 years ago

EASY MATHS PLS HELP

Mathematics

2 answers:

Goshia [24]3 years ago

5 0

Answer:

The value of x is 5/4 and y is -5.

Step-by-step explanation:

Firstly, you have to make the 1st equation as (1)<em> </em>and make 2nd equation as (2).
Secondly, you have to elimimate one of the variable. I choose to eliminate x in order to get rid of x, I add (1) and (2) together as -4x+4x = 0.
Thirdly, you can solve the value of y. Then after getting y value, you can substitute y value into any equation. I choose to put y value into (1).
Lastly, you can solve the equation to get x value.
THE ANSWER IS OUT !!☝️☝️

Fofino [41]3 years ago

3 0

Answer:

(1.25, - 5 )

Step-by-step explanation:

Given the 2 equations

- 4x + 3y = - 20 → (1)

4x + 2y = - 5 → (2)

Adding the 2 equations term by term will eliminate the x- term

5y = - 25 ( divide both sides by 5 )

y = - 5

Substitute y = - 5 into either of the 2 equations and solve for x

Substituting into (2)

4x + 2(- 5) = - 5, that is

4x - 10 = - 5 ( add 10 to both sides )

4x = 5 ( divide both sides by 4 )

x = $\frac{5}{4}$ = 1.25

Solution is (1.25, - 5 )

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What are the x-intercepts of the graph of the quadratic function

Svetllana [295]

Zero Product Property: if a × b = 0, then either a or b = 0 or both a and b = 0.

(Make sure to set f(x) to zero)

So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: $0=5x^2+5x-x-1$

Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: $0=5x(x+1)-1(x+1)$

Now you can rewrite the equation as: $0=(5x-1)(x+1)$

Now apply zero product property to the factors to solve for x:

$5x-1=0\\5x=1\\x=\frac{1}{5}\\\\x+1=0\\x=-1$

<u>The x-intercepts are (1/5 ,0) and (-1,0).</u>

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3 years ago

For the piecewise Function below, which of the following statments is true? Someone please help me

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3 years ago

Read 2 more answers

Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask

Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

$P(x=r)=^nC_r p^r q^{n-r}$

Where, $^nC_r=\frac{n!}{r!(n-r)!}$

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

$P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}$

$=56(0.4)^5 (0.6)^3$

$=0.12386304$

(b) the probability of the number that say they would feel secure is more than five

$P(X>5) = P(X=6)+ P(X=7) + P(X=8)$

$=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}$

$=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8$

$=0.04980736$

(c) the probability of the number that say they would feel secure is at most five

$P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)$

$=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}$