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Otrada [13]
4 years ago
14

What is the average rate of change for h(x)=x^2+x-6

Mathematics
1 answer:
arlik [135]4 years ago
4 0

\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{31em}{0.25pt}\\\\ h(x)=x^2+x-6 \qquad \begin{cases} x_1=0\\ x_2=3 \end{cases}\implies \cfrac{h(3)-h(0)}{3-0} \\\\\\ \cfrac{(3^2+3-6)~~-~~(0^2+0-6)}{3}\implies \cfrac{(6)-(-6)}{3} \\\\\\ \cfrac{6+6}{3}\implies \cfrac{12}{3}\implies 4

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For a school fundraiser mai will make school spirit bracelets. She will order bead wiring and alphabet beads to create the schoo
Andreas93 [3]

Answer:

235 bracelets

Step-by-step explanation:

Mai must spend $250 on wire and $5.30 per bracelet beads. Mai creates the expression.

We are given the equation:

5.3n+ 250 to represent the cost of making n bracelets.

The maximum number of bracelets Mai can make with a budget of $1500 Is calculated as:

$1500 = 5.3n+ 250

Collect like terms

1500 - 250 = 5.3n

1250 = 5.3n

n = 1250/5.3

n = 235.8490566 bracelets.

Bracelets are created as whole numbers and they can't be in decimal form.

Therefore, the maximum number of bracelets Mai can make with a budget of $1500 is 235 bracelets.

6 0
3 years ago
How can you show the two objects are proportional.
8_murik_8 [283]
Their shape and size
7 0
3 years ago
Read 2 more answers
Solve by substitution <br> X^2= 2y + 10<br> 3x-y = 9
Viefleur [7K]

Answer:

x=-4\\ x=-2\\ y=-21\\ y=-15

Step-by-step explanation:

x^{2} =2y+10

y=-9+3x

x^{2} =2(-9+3x)+10

x^{2} =-18+6x+10

x^{2} =6x-8

x^{2} -6x+8

x=-4, -2

y=-9+3(-4)

y=-9-12

y=-21

y=-9+3(-2)

y=-9-6

y=-15

8 0
4 years ago
Read 2 more answers
If x = 7, what is the value of the expression above?
givi [52]

if x= 7 what is the value of x-4

7 - 4

=3

if y=3 what is the value of 8y

8 x 3

= 24

if x=7 what is the value of 3x-4

(3 x 7) - 4

= 17

if x=7 and y=3 what is the value of 2x-7y

(2 x 7) -(7 x 3)

= - 7

if x=7 and y=3 what is the value of 4y-X

(4 x 7) - 3

= 25

Hope this helps

8 0
3 years ago
Can you please help me on 3n-2(-2-7n)=4(1-8n)
barxatty [35]

Answer:

n=0

Step-by-step explanation:

3n+4+14n=4-32n

3n+14n=-32n

17n=-32

17n+32n=0

49n=0

6 0
3 years ago
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