Subtract 4x^2 - 5x + 1 - (2x^2 + 9x - 6)

Mathematics

2 answers:

HACTEHA [7]3 years ago

6 0

Answer:

4 $x^{2}$ -16x+7

Step-by-step explanation:

hope this helps

frez [133]3 years ago

6 0

First you should distribute the negative. then after that just combine like terms.
answer: 2x^2 - 14x + 7
look at image for more

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United Express, a national package delivery service, charges a base price for overnight delivery of packages weighing 1 pound or

jonny [76]

Answer:

The correct answer is the base price is $14.50 and surcharge is $2.45 per pound.

Step-by-step explanation:

United Express charges a base price on packages weighing less than or equal to 1 pound and a surcharge for additional pounds.

Let the base price be $b and surcharge be $s.

For a 4 pound package, the customer is billed $21.85. Therefore the equation of his billing looks like b + 3s = 21.85.

For a 19 pound package, the customer is billed $58.60. Therefore the equation of his billing looks like b + 18s = 58.60.

Subtracting both the equation from each other we get 15s = 36.75

⇒ s = $2.45 and b = $14.50.

Thus the base price is $14.50.

7 0

4 years ago

The sides of ∆ABC are 30 units, 40 units, and 60 units long. The corresponding sides of ∆XYZ are r times as long as the sides of

san4es73 [151]

Part a) Find the expression that gives the perimeter of ∆XYZ

we know that

Perimeter of triangle ABC is equal to

$P=30+40+60\\ P=130\ units$

In this problem ∆ABC and ∆XYZ are similar triangles

the scale factor is equal to r

$scale\ factor=r \\ \\ scale\ factor=\frac{perimeter\ triangle\ XYZ}{perimeter\ triangle\ ABC} \\ \\ perimeter\ triangle\ XYZ=perimeter\ triangle\ ABC*scale factor\\ \\ perimeter\ triangle\ XYZ=130*r$

therefore

the answer Part a) is

The expression that gives the perimeter of ∆XYZ is $130*r\ units$

Part b) Find the expression that gives the area of ∆XYZ

we know that

$Area\ of\ triangle\ ABC=n\ units^{2}$

$scale\ factor=r \\ \\ scale\ factor^{2}=\frac{Area\ triangle\ XYZ}{Area\ triangle\ ABC} \\ \\ Area\ triangle\ XYZ=Area\ triangle\ ABC*scale factor^{2}\\ \\ Area\ triangle\ XYZ=n*r^{2}\ units^{2}$