On rainy days Amy reads in her room to pass the time last year she read 3 plays and 1 novel how many books did she read in all

One solution to a quadratic function, h, is given.

Margaret [11]

Answer:

B. The other solution to function $h$ is $-4-i\,7$ .

Step-by-step explanation:

From Algebra, we remember that quadratic functions of the form $a\cdot x^{2}+b\cdot x + c$ has solutions of the form:

$x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}$ , where both are complex if and only if $\sqrt{b^{2}-4\cdot a \cdot c}< 0$ .

Hence, if one solution of the quadratic function is $-4+i\,7$ , then the other solution is $-4-i\,7$ . The correct answer is B.

7 0

3 years ago

A food cooperative is a business that usually offers special prices on locally grown food and produce. Some are clubs and some a

Hoochie [10]

Answer:

The indifference point is 8 weeks.

Step-by-step explanation:

<u>First, we establish the total cost formula for each:</u>

x= number of weeks

Club:

Total cost= 20 + 15*x

Retail:

Total cost= 17.5*x

<u>Now, we equal both formulas and isolate x:</u>

20 + 15x = 17.5x

20 = 2.5x

8=x

The indifference point is 8 weeks.

<u>Prove:</u>

Total cost= 20 + 15*8= $140

Total cost= 17.5*8= $140

3 0

3 years ago

A number line is drawn left to right with integers spaced 1 centimeter apart. An ant crawls onto the number line at +3. It then

Anna11 [10]

Answer:

-1.2 cm

Step-by-step explanation:

Let's figure out where the ant is after each step.

Step 1

Start at +3.0

Move left <u> - 1.5 </u>

Now at +1.5

Step 2

Start at +1.5

Move right <u> + 4.9 </u>

Now at +6.4

Step 3

Start at +6.4

Move left <u> - 7.6 </u>

Now at -1.2

The ant is now at -1.2 cm.

6 0

4 years ago

X = 7 + 3y

pogonyaev

<h3>Given Equation:</h3>

x = 7 + 3y

or, x - 3y - 7 = 0 ........ (i)

5x + 6y = 14

or, 5x + 6y - 14 = 0 .........(ii)

The value of x and y.

<h3>Solution:</h3>

By dividing eq. ii by 2, we get

5/2x + 3y - 7 = 0 ........ (iii)

By adding eq. i and eq. iii, we get

15/2x = 0

or, <u>x = 0</u> ........(iv)

By putting eq.(iv) in eq. (i), we get

0 - 3y - 7 = 0

or, -3y = 7

or, <u>y = </u><u>-</u><u>7/</u><u>3</u>

<h2>Answer: ( 0, -7/3 )</h2>

The value of x and y is 0 and -7/3 respectively.

5 0

3 years ago

Read 2 more answers

Consider the vector add = a + b = [13 12 11 10 10] and sub = a - b = [-11 - 6 - 14 8]. Find the vector a and b.

prisoha [69]

Answer:

a = [1 3 5 7 9] and b = [12 9 6 3 1]

Step-by-step explanation:

The addition of two vectors a and b is defined as

a + b = [13 12 11 10 10] .... (1)

The subtraction of two vectors a and b is defined as

a - b = [-11 - 6 - 1 4 8] .... (2)

After adding (1) and (2), we get

(a + b) + (a - b)= [13 12 11 10 10] + [-11 - 6 - 1 4 8]

On simplification we get

2a = [13-11 12-6 11-1 10+4 10+8]

2a = [2 6 10 14 18]

Divide both sides by 2.

a = [1 3 5 7 9]

Substitute the value of vector a in equation (1).

[1 3 5 7 9] + b = [13 12 11 10 10]

Subtract vector a from both sides.

b = [13 12 11 10 10] - [1 3 5 7 9]

On simplification we get

b = [13-1 12-3 11-5 10-7 10-9]

b = [12 9 6 3 1]

Therefore the vectors a and b are defined as a = [1 3 5 7 9] and b = [12 9 6 3 1].

4 0

3 years ago