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OlgaM077 [116]
3 years ago
5

If the polynomial x4+2x3 + 8x2+12x+18 is divided by another polynomial x2+5, the remainder comes out to be px+q. Find the value

of p and q.
Mathematics
1 answer:
RideAnS [48]3 years ago
6 0
The remainder is 2x+3. The. P=2 and the q=3.
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The graph of a quadratic function contains the points
masya89 [10]

Answer:

Shawn is correct.

Step-by-step explanation:

Let the quadratic function is g(x) = a(x - h)² + k

Here (h, k) is the vertex of the parabola.

Since this parabola passes through (0, 0), (1, 9) and (-1, 9), axis of symmetry is x = 0 and the vertex is (0, 0).

Therefore, equation of the parabola will be,

g(x) = a(x - 0)²+ 0

g(x) = ax²

for a point (1, 9) which lies on the graph,

9 = a(1)²

a = 9

g(x) = 9x² (here a > 1)

Therefore, f(x) is vertically stretched by a factor of 9 to form g(x).

Shawn is correct.

3 0
3 years ago
Clare made a smoothie with 1 cup of yogurt, 3 tablespoons of peanut butter, 2 teaspoons of chocolate syrup, and 2 cups of crushe
Ugo [173]

Answer: it was probably more chocolaty because he added 5 teaspoons instead of 4 which is 2 doubled

Step-by-step explanation:

4 0
3 years ago
Anna bought p packages of paper plates at Party City that cost $4 per package and c packages of cups that cost $3 per package. S
sergeinik [125]

Answer:

$46

Step-by-step explanation:

Cost: 4p + 3c + 16

if p=3 and c=6 then,

4(3) + 3(6) +16

12+18+16

46 dollars spent

4 0
2 years ago
write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9
photoshop1234 [79]

Answer:

\large\boxed{y=\dfrac{7}{2}x-18}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

3x+4x=2y-9

7x=2y-9             <em>add 9 to both sides</em>

7x+9=2y       <em>divide both sides by 2</em>

\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}

Parallel lines have the same slope. Therefore we have the equation:

y=\dfrac{7}{2}x+b

Put the coordinates of the point (4, -4) to the equation:

-4=\dfrac{7}{2}(4)+b

-4=7(2)+b

-4=14+b       <em>subtract 14 from both sides</em>

-18=b\to b=-18

Finally we have the equation:

y=\dfrac{7}{2}x-18

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When a product fails to perform as warranted, this is called a) contractual liability. O b) product malfunction. c) malicious manufacture. d) breach of warranty
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