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3 years ago

6. You and your family went to a restaurant and the bill came to $120. You decide to

Mathematics

2 answers:

ivann1987 [24]3 years ago

6 0

Answer:

Step-by-step explanation:

18 percent of 120 is 21.6

Lemur [1.5K]3 years ago

3 0

The answer for this question is c

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Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.

goblinko [34]

Answer:

Hi,

a=b+3

Step-by-step explanation:

$\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}$

$\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}$

Thus:

c+2b+8-4a=c-a-b-1

3b-3a=-9

5 0

2 years ago

Consider the quadratic function f(x) = ax? + bx + 22. The equation of the axis of symmetry is

Triss [41]

Answer:

nnnnnnnjj

Step-by-step explanation:

5 0

3 years ago

Let u = (1, k) and v = (2, 1). Find k such that The distance between u and v is 1 u and v are orthogonal The angle between u and

SVETLANKA909090 [29]

Answer:k=1,k=-2,k= $8\pm 5\sqrt{3}$

Step-by-step explanation:

Given two vectors

$u=1\hat{i}+k\hat{j}$

$v=2\hat{i}+1\hat{j}$

$\left ( i\right )$ Distance between them is given by

$|u-v|=\sqrt{\left ( 2-1\right )^2+\left ( 1-k\right )^2}=1$

squaring both side

$1^{2}+\left ( 1-k\right )^2=1$

$k^2-2k+1=0$

$\left ( k-1\right )^2=0$

k=1

$\left ( ii\right )$

angle between u and v is 90 i.e. orthogonal

$u\dot v=0$

$\left ( 1\hat{i}+k\hat{j}\right )\dot \left ( 2\hat{i}+1\hat{j}\right )$ =0

2+k=0

k=-2

$\left ( iii\right )$

angle between u & v is $\frac{\pi }{3}$

$u\dot v=|u||v|cos\left (\frac{\pi }{3}\right )$

$|u|=\sqrt{1^2+k^2}$

$|v|=\sqrt{2^2+1^2}$

$2+k=\left ( \sqrt{1+k^2}\right )\left ( \sqrt{5}\right )cos\left ( \frac{\pi }{3}\right )$

$\left ( 4+2\right )^2=\left ( 1+k^2\right )5$

$k^2-16k-11$ =0

k= $8\pm 5\sqrt{3}$

7 0

3 years ago

What is the most logical first step in solving the equation x2+6x+9=10?

valentina_108 [34]

You need to make the right side = 0
To do this you subtract 10 from both sides of the equation:-

x^2 + 6x + 9 - 10 = 10 - 10
x^2 + 6x - 1 = 0

5 0

3 years ago

Calculate the value of each expression.<br><br> Type each value in the corresponding boxes below.

ivolga24 [154]

Answer:

140

-2.6

Step-by-step explanation:

60 -(-80) if there is - - that means +

60 + 80 = 140

2.3 + (-4.9) if its + - it just means - ignore the plus

2.3 - 4.9

-2.6

4.5 + (-4.5)

8 0

2 years ago

Read 2 more answers