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Ostrovityanka [42]
3 years ago
7

What is the sum of the given polynomials in standard form? (x2 – 3x) + (–2x2 + 5x – 3)

Mathematics
2 answers:
LekaFEV [45]3 years ago
7 0

Answer:

-x² + 2x - 3

Step-by-step explanation:

Simply combine like terms together.

x² terms are added together

x terms are added together

Constants are added together

11Alexandr11 [23.1K]3 years ago
3 0

Answer: -x^2 + 2x - 3

Step-by-step explanation:

(x^2 - 3x) + (-2x^2 + 5x - 3)

Combine like terms

x^2 - 2x^2 - 3x + 5x - 3

x^2 - 2x^2 = -x^2

-3 + 5x = 2x

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Solve the equation 58 - 10x ≤ 20 + 9x
drek231 [11]

Answer:

x≥2

Step-by-step explanation:

First, write out the equation as you have it:

58-10x\leq20+9x

Then, add 10x to both sides:

58-10x+10x\leq20+9x+10x\\58\leq20+19x

Next, subtract 20 from both sides:

58-20\leq20-20+19x\\38\leq19x

Finally, divide both sides by 19:

\frac{38}{19}\leq\frac{19x}{19}\\2\leq x

or

x\geq 2

Therefore: the answer to this inequality/equation is: x≥2

6 0
3 years ago
Evaluate n + 5/5<br> When n= -10
vesna_86 [32]

Answer:

n + 5/5 = -9

Step-by-step explanation:

3 0
3 years ago
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Legit the last question I need someone help 20 points plus brinlyest
aleksandr82 [10.1K]

The fifth term would be seven

4 0
3 years ago
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Which equation represents the relationship between x and y shown in the table?
Hunter-Best [27]

Answer:

y=2x-3

Explanation:

which equation represents the relationship between x and y shown in the table?

x | y

2 | 1

4 | 5

6 | 9

8 | 13

take a look at the values in the table one more,

we find the gradient of the line to be

G=y2-y1/(x2-x1)

G=13-1/(8-2)

slope/gradient=12/6

m=2

from equation of a line graph, we know

y=mx+c

m=gradient

c=intercept

y=vertical axis

x=a point on the horizontal axis

y=2x+c

when x=6, y=9

9=2(6)+C

c=-3

Therefore the equation becomes

y=2x-3

Step-by-step explanation:

3 0
3 years ago
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Which graph shows h(x) = f(x)/g(x)
pogonyaev

Answer:

What is the graph of h(x)=f(x)+g(x) with an example?

So many possible combinations of types of equations for f(x) and g(x).

If they are both linear. f(x) = 3x + 2. g(x) = 2x - 5. h(x) = f(x) + g(x) = 5x - 3. This is also linear.

f(x) has slope = 3 and y-intercept = 2. g(x) has slope = 2 and y intercept = -5. h(x) has slope = 5 and y-intercept = -3.

The graph of the sum of two linear equations is a straight line with slope equal to the sum of the slopes of the two linear equations and a y-intercept equal to the sum of the y-intercepts of the two linear equations.

If one is linear and the other is quadratic. f(x) = 2x + 3. g(x) = x^2 + 6x - 4. h(x) = f(x) + g(x) = x^2 + 8x - 1. This is quadratic.

f(x) has slope = 3 and y-intercept = 3. g(x) has an axis of symmetry of x = -3, vertex at (-3, -13), y-intercept = -4, x-intercepts = -3 + 13^½ and -3 - 13^½ . h(x) has an axis of symmetry of x = -4, vertex at (-4, -17), y-intercept = -1, x-intercepts = -4 + 17^½ and -4 - 17^½ .

The graph of the sum of a linear equation [y = mx + b] and a quadratic equation [y = Ax^2 + Bx + C] has an axis of symmetry of x = - (B + m) / 2A, vertex at ( - (B + m) / 2A, - (B + m)^2 / 4A + (b + C)), y-intercept = b + C, x-intercepts = (- (B + m) + ( (B + m)^2 - 4A (b + C))^½ ) / 2A and (- (B + m) - ( (B + m)^2 - 4A (b + C))^½ ) / 2A .

7 0
3 years ago
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