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Flauer [41]
3 years ago
15

At the market, 8 apples cost $4.How much do 9 apples cost?

Mathematics
2 answers:
lesya692 [45]3 years ago
8 0

Answer:

$4.50

Step-by-step explanation:

We must find the unit rate.

Unit rate equals: 1 apple for 50 cents.

.5 multiplied by 9 is 4.5

Serga [27]3 years ago
7 0

Answer:

Step-by-step explanation:

C.f.

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Consider the radical equation √c+22 = c + 2.
dimulka [17.4K]

First square both sides to get:

c + 22 = (c + 2)^2

or

c + 22 = c^2 + 4c + 4

Move the terms on the left side to the right side:

c^2 + 3c - 18 = 0

Factor to get:

(c + 6) * (c - 3) = 0.

The solutions are c = -6 and c = 3.

Check to see if these answers work by plugging them into the original equation:

c = -6:

sqrt (-6 + 22) ?= -6 + 2

But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.

c = 3:

sqrt (3 + 22) ?= 3 + 2

5 = 5. So, 3 works.

The answer is: B

7 0
3 years ago
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liubo4ka [24]
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4 0
3 years ago
HELP!
max2010maxim [7]
For the first question, the total is 240 so that goes in front of the equals sign.  he has already worked 97 hours, so the expression on the right begins with 97 and adds the unknown number of hours, <em>h</em>, to it:
240 = 97 + <em /><em>h</em>

For the second question, there is no graph so I cannot answer it.
3rd question:  no image, can't answer.

4th question:
Use a factor tree:
                          240
                           /  \
                        10*24
                        /\     /\
                      5*2 *8*3
                    /   /    /\    \
                  5 * 2 *4*2 *3
                /     /    /\     \    \
             5   *  2 *2*2 * 2 * 3
Starting with the smallest factor and using exponents we have
2^4*3*5
8 0
3 years ago
What is the slope of y=3x +6 and the point(s) to graph it
Karo-lina-s [1.5K]

Answer:

Slope = 3

(1,9), (3,15)

X intercept: (-2,0)

Y intercept:(0,6)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Consider the parabola r​(t)equalsleft angle at squared plus 1 comma t right angle​, for minusinfinityless thantless thaninfinity
kodGreya [7K]

Given:-   r(t)=< at^2+1,t>  ; -\infty < t< \infty , where a is any positive real number.

Consider the helix parabolic equation :  

                                              r(t)=< at^2+1,t>

now, take the derivatives we get;

                                            r{}'(t)=

As, we know that two vectors are orthogonal if their dot product is zero.

Here,  r(t) and r{}'(t)  are orthogonal i.e,   r\cdot r{}'=0

Therefore, we have ,

                                  < at^2+1,t>\cdot < 2at,1>=0

< at^2+1,t>\cdot < 2at,1>=

                                              =2a^2t^3+2at+t

2a^2t^3+2at+t=0

take t common in above equation we get,

t\cdot \left (2a^2t^2+2a+1\right )=0

⇒t=0 or 2a^2t^2+2a+1=0

To find the solution for t;

take 2a^2t^2+2a+1=0

The numberD = b^2 -4ac determined from the coefficients of the equation ax^2 + bx + c = 0.

The determinant D=0-4(2a^2)(2a+1)=-8a^2\cdot(2a+1)

Since, for any positive value of a determinant is negative.

Therefore, there is no solution.

The only solution, we have t=0.

Hence, we have only one points on the parabola  r(t)=< at^2+1,t> i.e <1,0>




                                               




6 0
3 years ago
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