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prisoha [69]
3 years ago
10

If p(x) = x2 - 1 and q(x) = 5(x-1), which expression is equivalent to (p-q)(x)?

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Answer:

x² - 5x + 4

Step-by-step explanation:

Note that (p - q)(x) = p(x) - q(x)

p(x) - q(x)

= x² - 1 - 5(x - 1) ← distribute

= x² - 1 - 5x + 5 ← collect like terms

= x² - 5x + 4

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The number of students at Marita’s school decreased to 98% of last year’s number. Currently, there are 1,170 students. How many
77julia77 [94]

Answer:

  1194 students last year

Step-by-step explanation:

The problem statement tells us ...

  98% × (students last year) = 1170

Dividing by 98%, we get ...

  1170/0.98 = (students last year) = 1193.88 ≈ 1194

___

<em>Check</em>

1170/1194 = 0.979899... ≈ 0.98 = 98%

8 0
2 years ago
Find the 67th term of the arithmetic sequence –17, -23, -29,...
Maksim231197 [3]

Answer:

T₆₇ = -413

Step-by-step explanation:

7 0
3 years ago
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The x - intercept of the function f(x) = x2 + 4x - 12 is:
Assoli18 [71]

Answer:

C) (-6,0)(2,0)

For x-intercept, f(x) = 0:

{ \tt{ {x}^{2} + 4x - 12 = 0 }} \\   { \tt{(x - 2)(x + 6) = 0}}

8 0
3 years ago
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If a roasting is 600mm x 500mm how many 25cm cake time will fit on it?
nydimaria [60]
So assuming that 25cm is 25 square cm because you cannot have a 2 dimentional cake so

600mm by 500mm
to find the area, multiply legnth by width

mm=milimeters
cm=centimeters
this is in mm so
1cm=10mm
1mm=1/10cm
to convert from mm to cm, you divide by 10
we must divide by 10 first
legnth =600mm
600/10=60cm
legnth=60cm

width=500mm
500/10=50cm
width=50cm

area=60 times 50=3000 square cm or cm^2
so 3000 is the area
25 is the area of each cake
divide 3000 into 25 and find how many cakes will fit

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120 cakes will fit

3 0
3 years ago
Chin-li is building a brick wall along the front of his property. The wall will have 15 rows of bricks, with 32 bricks in each r
Finger [1]

Answer:

<h3>The solution is 480 bricks.</h3>

Step-by-step explanation:

We are given that number of rows of bricks in a wall = 15 rows.

Number of bricks in a row = 32 bricks.

In order to find the total number of bricks, we need to multiply number of rows with number of bricks in a row.

Total number of bricks in 15 rows = 15 × 32 = 480 bricks.

Therefore, will Chin-li will need 480 bricks.

<h3>The solution is 480 bricks.</h3>
3 0
3 years ago
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