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Novosadov [1.4K]
3 years ago
6

Question - Find each f(c) using synthetic substitution. f(x) =5x 5 + 10x 4 + 3x 3 + 8x 2 – 6x – 3; c = 3

Mathematics
1 answer:
SpyIntel [72]3 years ago
7 0

Answer:

2157

Step-by-step explanation:

The given function is

f(x)=5x^5+10x^4+3x^3+8x^2-6x-3

We want to find f(c) when c=3.

This means the remainder when f(x) is divided by x-3

We perform the synthetic division:

    5     10      3      8       -6      -3

<u>3|         15    75    234    726    2160</u>

    5     25    78    242    720    2157

Therefore the remainder is 2157

You are right

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Guys please help me with this question, I’d appreciate it a lot
lutik1710 [3]

Answer:

540

Step-by-step explanation:

area of trapezium is b×h

7 0
3 years ago
Read 2 more answers
Find the vertex form of: y=2x^2-5x+13
Ket [755]
The vertex form of a quadratic function is:

 f(x) = a(x - h)² + k

The coordinate (h, k) represents a parabola's vertex.

In order to convert a quadratic function in standard form to the vertex form, we can complete the square.

y = 2x² - 5x + 13

Move the constant, 13, to the other side of the equation by subtracting it from both sides of the equation.

y - 13 = 2x² - 5x

Factor out 2 on the right side of the equation.

y - 13 = 2(x² - 2.5x)

Add (b/2)² to both sides of the equation, but remember that since we factored 2 out on the right side of the equation we have to multiply (b/2)² by 2 again on the left side.

y - 13 + 2(2.5/2)² = 2(x² - 2.5x + (2.5/2)²)

y - 13 + 3.125 = 2(x² - 2.5x + 1.5625)

Add the constants on the left and factor the expression on the right to a perfect square.

y - 9.875 = 2(x - 1.25)²

Now, we need y to be by itself again so add 9.875 back to both sides of the equation to move it back to the right side.

y = 2(x - 1.25)² + 9.875

Vertex: (1.25, 9.875)

Solution: y = 2(x - 1.25)² + 9.875

Or if you prefer fractions

y = 2(x - 5/4)² + 79/8
7 0
3 years ago
Given I=prt,where I=4.5,p =500,and t=2.5,what is r as a percent?
KIM [24]
PLUG in the numbers 
4.5=500 x R x 2.5
divide both sides by 500
0.009=R x 2.5
divide 2.2 to both sides 
R=.0036
In percent you have to multiply by 100 which is 0.36%
8 0
3 years ago
10. 10. If AB bisects CAF, and m&lt;EAF = 72°,<br>then the m&lt;BAF =​
never [62]

The measure of ∠BAF is 54°.

Solution:

DF and CE are intersecting lines.

m∠EAF = 72° and AB bisects ∠CAF.

∠EAF and ∠DAC are vertically opposite angles.

Vertical angle theorem:

<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>

∠DAC ≅ ∠EAF

m∠DAC = 72°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠DAE + m∠EAF = 180°

m∠DAE + 72° = 180°

Subtract 72° from both sides.

m∠DAE = 108°

∠CAF and ∠DAE are vertically opposite angles.

⇒ m∠CAF = m∠DAE

⇒ m∠CAF = 108°

AB bisects ∠CAF means ∠CAB = ∠BAF

m∠CAB + m∠BAF = 108°

m∠BAF + m∠BAF = 108°

2 m∠BAF = 108°

Divide by 2 on both sides, we get

m∠BAF = 54°

Hence the measure of ∠BAF is 54°.

4 0
3 years ago
Osvoldo has a goal of getting at least 30%, percent of his grams of carbohydrates each day from whole grains. Today, he ate 220
Phantasy [73]
Yeah because he was at least 80% and when you add the grain and carbon that was total. Then divide the carbon. It will be 80%
8 0
3 years ago
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