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babunello [35]
3 years ago
7

NEED HELP ASAPPP !! find the y-intercept of the line of the graph.​

Mathematics
1 answer:
Anettt [7]3 years ago
5 0

Answer:

the Y intercept is (0,-2)

Step-by-step explanation:

It is the point on the graph which the line goes through the Y axis

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A student takes an exam containing 16 true or false questions. If the student guesses, what is the probability that he will get
almond37 [142]

Answer:

0.001831055

Step-by-step explanation:

Here, n = 16, p = 0.5, (1 - p) = 0.5 and x = 14

As per binomial distribution formula P(X = x) = nCx * p^x * (1 - p)^(n - x)

We need to calculate P(X = 14)

P(x =14) = 16C14 * 0.5^14 *(1-0.5)^2

               = 120 * 0.5^14 *(1-0.5)^2

= 0.001831055

5 0
3 years ago
Determine the leading coefficient of the polynomial p, which has exactly three roots: -1, 1 and 2, and for which p(3) = 24 is tr
LuckyWell [14K]

Answer:

The polynomial is x^3-2x^2-x+2

Leading coefficient is 1

Step-by-step explanation:

We need to determine the leading coefficient of polynomial p having roots

-1,1 and 2 and p(3)=24

Roots of polynomial are: -1,1,2

We can write them as:

x=-1, x=1, x=2

x+1=0, x-1=0, x-2=0

or:

(x+1)(x-1)(x-2)=0

Multiplying the terms to find the polynomial:

(x+1)(x-1)(x-2)=0\\(x(x-1)+1(x-1))(x-2)=0\\(x^2-x+x-1)(x-2)=0\\(x^2-1)(x-2)=0\\x^2(x-2)-1(x-2)=0\\x^3-2x^2-x+2=0

So, The polynomial is x^3-2x^2-x+2

The leading coefficient is the coefficient with highest power So, in polynomial we have highest power x^3 so, leading coefficient is 1

6 0
3 years ago
Two friends go to a Mexican restaurant for lunch. One friend orders 1 soft taco and
maxonik [38]

Answer:

cost of a taco: $1.25

cost of a burrito: $2.50

Step-by-step explanation:

Let the cost of a taco be $t and the cost of a burrito be $b.

t +3b= 8.75 -----(1)

4t +2b= 10

Divide both sides by 2:

2t +b= 5

Making b the subject of formula:

b= 5 -2t -----(2)

Substitute (2) into (1):

t +3(5 -2t)= 8.75

Expand:

t +3(5) +3(-2t)= 8.75

t +15 -6t= 8.75

t -6t= 8.75 -15

-5t= -6.25

t= -6.25 ÷(-5)

t= 1.25

Substitute t= 1.25 into (2):

b= 5 -2(1.25)

b= 5 -2.5

b= 2.50

Thus, the cost of a taco is $1.25 and the cost of a burrito is $2.50.

8 0
3 years ago
On a coordinate plane, a triangle has points F (3, 4), D (5, negative 3), and E (1, negative 2).
FrozenT [24]
The coordinates of image of vertex D after a reflection across the x-axis is (5, 3).
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You can draw 2 blocks representing two one hundreds.
Draw 9 ten columns.
Draw 4 one squares.
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3 years ago
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