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gayaneshka [121]
4 years ago
12

G(x) = -10x2+ 490 lesser x= greater x =

Mathematics
1 answer:
Sergeu [11.5K]4 years ago
7 0

Answer:

Greater x =+ 7

Lesser x = -7

Step-by-step explanation:

G(x) = -10x2+ 490

Let the left side = 0

So we have

0= -10x2+ 490

Solving the above now by allowing the variable with the coefficient of x cross the equal sign.

10x²= 490

Dividing by 10

X²= 490/10

X² = 49

Taking the root of both sides

X= √49

X = + 7or -7

Bigger x =+ 7

Smaller x = -7

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A function of the form f(x) = mx + b, where m and b are real numbers, is called a _____
jasenka [17]

Answer:

A function of the form f(x) = mx + b, where 'm' and 'b' are real numbers, is called a <u>linear function.</u>

Step-by-step explanation:

A linear function is one in which the f(x) value of the function varies linearly with 'x'. When we plot a linear function on a graph, the resulting curve is always a straight line with the slope of the line being constant.

A linear function is of the form:

f(x)=mx+b, where, 'm' and 'b' are real numbers.

The degree or the highest exponent of 'x' in a linear function is always equal to 1.

Therefore, a function of the form f(x) = mx + b, where 'm' and 'b' are real numbers, is called a <u>linear function.</u>

4 0
3 years ago
The table shows the cumulative number of minutes Alice practices clarinet for the first part of the school year. The values will
Mariulka [41]

The option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.

<h3>What is a scale factor?</h3>

The ratio among comparable dimensions of an object and a model with that object, known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

As we can see in the table, data is given, we can plot it in the graph by using the scale factor.

On the x-axis, scale: 1 unit = 1 week

On the y-axis, scale: 1 unit = 150 minutes

On the y-axis, 2 units = 300 minutes

On the y-axis, 3 units = 450 minutes

Thus, the option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.

Learn more about the scale factor here:

brainly.com/question/22312172

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3 0
2 years ago
Guys, I’m giving you 81 points for you to answer to my last 2 weeks of my math word problem homework from The Hung Vuong Learnin
hammer [34]

Answer:

8.50x+2y

Step-by-step explanation:

Let x represent the time she works (in hours) and y represent the amount of membership she sells then...

8.50x+2y

This is because she is paid $8.50 per hour and she works x hours. She is also paid $2 for each y number of memberships she sells.

4 0
3 years ago
A block of cheese has a volume of 189 cm3 and a mass of 150 g.
Dafna11 [192]
The answer is 0.79g/cm^2

Density is just mass divided by volume.
So it was 150/189
8 0
3 years ago
Two similar pyramids A and B have surface areas of 135cm^2 and 60cm^2 respectively . The volume of pyramid A is 405 cm^3 work ou
Aleks04 [339]

Answer:

120 cm^3

Step-by-step explanation:

The surface areas are in the ratio 60 to 135  so the single dimensions are in the ratio √60 to √135.

Therefore the volumes are in the ratio (√60)^3 to  (√135)^3  or 60^3/2 to  135^3/2.

So  Volume of  Pyramid B / Volume of Pyramid A

= 60^3/2 / 135^3/2.

Therefore we have the equation  60^3/2 / 135^3/2 =  V / 405  where V is the volume of pyramid B.

V = (60^3/2 * 405) / 135^3/2

=  120  cm^3

5 0
3 years ago
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