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3 years ago

Find the value for p given the equation p/2+1=3

Mathematics

1 answer:

Vikentia [17]3 years ago

3 0

Take 1 to the other side as negative

p/2=2

Take 2 to the other side and multiply it

2*2 is 4

So p is 4

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A student is asked to find a polynomial f(x) of degree four with the zeros 2, -3, 0, and -7. What factors would the student mult

lord [1]

Answer:

(x-2), (x+3),x and (x + 7)

Step-by-step explanation:

Here, the zeros of the polynomial are 2, -3, 0 and -7.

Let’s consider a case of a quadratic equation where x = 5 is a solution. This means that x + 5 is a factor of that quadratic equation.

Now, let’s apply same approach to this polynomial. If x = 2 is a solution, then x -2 is a factor. If x = -3, then, x + 3 is a factor. If x = 0, this means x itself is a solution and lastly, if x = -7 is a solution, that means x + 7 is a factor.

Thus, the factors to multiply together are; (x-2), (x+3),x and (x + 7)

4 0

3 years ago

Two grapefruits and three oranges cost $1.95. Three grapefruits and two oranges cost $2.05.

geniusboy [140]

Answer:

one orange costs $0.35 and one grapefruit costs $0.45

Step-by-step explanation:

let grapefruits be g , let oranges be o

so first equation:

→2g + 3o = $1.95

→g = ($1.95 - 3o)/2

so second equation:

→ 3g + 2o = $2.05

→ g = ($2.05 - 2o)/3

Solving simultaneously:

→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2

→ 2($2.05 - 2o) = 3($1.95 - 3o)

→ 4.1 - 4o = 5.85 - 9o

→ - 4o + 9o = 5.85 - 4.1

→ 5o = 1.75

→ o = $0.35

Therefore one orange costs $0.35

Then one grapefruit costs g → ($1.95 - 3o)/2

→ g = ($1.95 - 3(0.35))/2

→ g = 0.45

Therefore one grapefruit costs $0.45

4 0

2 years ago

CAN SOMEBODY HELP PLS

Sophie [7]

$\frac{9}{ - j}$

5 0

2 years ago

Read 2 more answers

Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side length

seraphim [82]

Answer:

A right triangle is a triangle in which one of the angles is a 90∘ angle. The "square" at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known.

6 0

3 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

Answer- Length of the curve of intersection is 13.5191 sq.units

Solution-

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$