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Pavlova-9 [17]
4 years ago
9

the heaviest backpack juan can carry safely weighs 15 pounds. his notebook weighs 4 pounds. if his books average 3.5 pounds, how

many books can he carry?l
Mathematics
2 answers:
postnew [5]4 years ago
7 0
The answer would be 3 because 15-4=11, each book is 3.5 pounds
3.5+3.5=7
7+3.5=10.5
Valentin [98]4 years ago
3 0

Answer:

If he can only weigh 15 pounds and he already has 4 you have to add 3.5 plus 3.5 that makes 7 plus 4 is 11 you can add one more so then you would have 14.5 and that would be enough

Step-by-step explanation:

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Complete the square to rewrite y = x2 - 6x + 3 in vertex form. Then state
Vladimir [108]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = x² - 6x + 3

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 3

  = (x - 3)² - 6 ← in vertex form

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Here a = 1 > 0, thus

(3, - 6 ) is a minimum

3 0
4 years ago
Complete the table for the following function<br> y=(1/3)^x
Bumek [7]

x=-3 then y= 27

x= -2 then y= 9

x=2 then y: y=\frac{1}{9}

x=3 then y: y=\frac{1}{27}

The graph of the function decreases from left to right.

Option C is correct.

Step-by-step explanation:

We are given the function: y=(\frac{1}{3})^x

and we need to fill the table

if x = -3 then y=?

Putting value of x in the given function:

y=(\frac{1}{3})^x

y=(\frac{1}{3})^-3

Applying exponent rule a^-b= 1/a^b

y=\frac{1}{(\frac{1}{3})^3 }\\y=\frac{1}{\frac{1}{27}}\\y=27

if x = -2 then y=?

Putting value of x in the given function:

y=(\frac{1}{3})^x

y=(\frac{1}{3})^-2

Applying exponent rule a^-b= 1/a^b

y=\frac{1}{(\frac{1}{3})^2 }\\y=\frac{1}{\frac{1}{9}}\\y=9

if x = 2 then y=?

Putting value of x in the given function:

y=(\frac{1}{3})^x

y=(\frac{1}{3})^2

Applying exponent rule a^-b= 1/a^b

y=\frac{1}{(\frac{1}{3})^2 }\\y=\frac{1}{9}

if x = 3 then y=?

Putting value of x in the given function:

y=(\frac{1}{3})^x

y=(\frac{1}{3})^3

Applying exponent rule a^-b= 1/a^b

y=\frac{1}{(\frac{1}{3})^3 }\\y=\frac{1}{27}

So, x=-3 then y= 27

x= -2 then y= 9

x=2 then y: y=\frac{1}{9}

x=3 then y: y=\frac{1}{27}

Graph of the function is shown in figure attached.

The graph of the function decreases from left to right.

Option C is correct.

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

7 0
4 years ago
I need help with these questions(see image). <br><br>Please show workings.​
worty [1.4K]

Answer:

see explanation

Step-by-step explanation:

(a)

The angle around the centre O of the circle = 360°, then

∠ AOB = 360° - 260° = 100°

Δ AOB is isosceles ( the radii OA and OB are congruent )

The altitude from O bisects ∠ AOB , thus

y = 50°

Since the triangle is isosceles the 2 base angles are congruent, so

x = \frac{180-100}{2} = \frac{80}{2} = 40°

(b)

∠ POR = 360° - 254° = 106°

Δ POR is isosceles (the radii OP and OR are congruent ) , then

the 2 base angles are congruent , thus

a = \frac{180-106}{2} = \frac{74}{2} = 37°

5 0
3 years ago
Read 2 more answers
Mike ans his three friends decided to divide the lunch bill evenly.They are trying to figure out how much each person owes if th
zzz [600]

Answer:

b

Step-by-step explanation:

x is the number each person will get

b is the only possible answer

3 0
3 years ago
A 2-yard piece of ribbon costs $37.20. What is the price per foot?​
HACTEHA [7]

Answer:$6.20

Step-by-step explanation:

Divide 37.29 by 2

Then you find out how many feet is in a yard which is three so then divide again by 3...I misread

3 0
3 years ago
Read 2 more answers
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