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3 years ago

If x = 5, find the value of a) x2 b) (x + 3)2

Mathematics

1 answer:

PtichkaEL [24]3 years ago

3 0

Answer: a) = 10

b) = 16

Step-by-step explanation:

a) as x = 5 so putting the value of x in given equation

5 multiplied by 2 is equal to 10

b) Putting value of x in given equation

= (5 + 3) 2

According to BODMAS solve the brackets first

= 8 x 2

= 16

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Marty and Ethan both wrote a function, but in different ways.

marishachu [46]

Question:

Marty and Ethan both wrote a function, but in different ways.

Marty

y+3=1/3(x+9)

Ethan

x y

-4 9.2

-2 9.6

0 10

2 10.4

Whose function has the larger slope?

1. Marty’s with a slope of 2/3

2. Ethan’s with a slope of 2/5

3. Marty’s with a slope of 1/3

4. Ethan’s with a slope of 1/5

Answer:

Marty’s with a slope of 1/3 has the larger slope

Solution:

Given that Marty equation is:

$y + 3 = \frac{1}{3}(x+9)$

The point slope form is given as:

$y - y_1 = m(x-x_1)$

Where, "m" is the slope of line

On comapring both equations,

$m = \frac{1}{3}$

Ethan wrote a function:

Consider any two values from the table we have;

(0, 10) and (2, 10.4)

The slope is given by formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

From above two points,

$(x_1, y_1) = (0, 10)\\\\(x_2, y_2) = (2, 10.4)$

Therefore,

$m = \frac{10.4-10}{2-0}\\\\m = \frac{0.4}{2} \\\\m = 0.2$

Thus we get,

$\text{Slope of Ethan} < \text{Slope of Marty}$

Therefore, Marty’s with a slope of 1/3 has the larger slope

4 0

3 years ago

Read 2 more answers

1. Jordan's washing machine is broken. Since her machine is pretty old, she doesn't want to spend more than $100

ahrayia [7]

Answer:

I think it would be D

Step-by-step explanation:

20 x 3 = 60 60+35= 95 20/4 = 5

4 0

3 years ago

Read 2 more answers

Need Help Please I'm Out Of Time ;(

vodka [1.7K]

Answer:

Total surface area = 184.86 cm²

Step-by-step explanation:

If we see the the diagram, we can find that the net of this triangular prism includes:

2 triangles each with the dimension of one side 4.3cm, second side 5.2cm and third side 6.75 cm

3 rectangles each with the dimensions of (6.75×10)cm, (5.2×10)cm and (4.3×10)cm

Surface area of triangle with a,b and c side:

s=(a+b+c)/2

Area= √s(s−a)(s−b)(s−c)

Area = 11.18cm²

For 2 triangle:

Area = 22.36cm²

Surface Area of Rectangles:

Area = (6.75×10)cm + (5.2×10)cm + (4.3×10)cm

Area = 162.5 cm²

Total surface area = area of 2 triangle + area of 3 rectangles:

Total surface area = 22.36 + 162.5

Total surface area = 184.86 cm²

8 0

3 years ago

A hypothesis test was used to see if less than 5% of all Americans would still drive to work if gas prices went above $10.00 a g

Kruka [31]

Answer:

The correct option is;

False

Step-by-step explanation:

Here, we note that the proportion of the test statistic which is used in the test is 5% and the P-value for the test is 0.03

The hypothesis test is meant to check if people will still drive to work when the gas prices are above $10.00 and the suggestion was that we can conclude that when the fuel price is above $5.00 everyone would still drive to work without a P-value for the test, hence we can not come to the stated conclusion.

8 0

3 years ago

Simplify each polynomial 2x^2+8-4x+3x-6x6^2+7

Naddika [18.5K]

Answer:

Step-by-step explanation:

−

Subtract

from

−

Add

and

−

Add

−

and

−

6 0

3 years ago