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kap26 [50]
2 years ago
14

Taft CLB Algebra 2 Unit 1: Systems of Linear Equations and Inequalities 2020-2021 / 3 of 13

Mathematics
1 answer:
Tju [1.3M]2 years ago
8 0

Answer:

B + G \leq 15

6B + 10G \geq 90

Step-by-step explanation:

Given

Represent Babysitting with B

Represent Gas Station with G

Total workhours = At most 15

Earnings = At least $90

First, we need to represent the work hours as inequality

B + G  = At most 15

At most 15 means less than or equal to 15.

So, we have:

B + G \leq 15

Next, we represent the earnings as inequality.

6 hours of babysitting is: 6B

10 hours at gas station is: 10G

So:

6B + 10G is at least 90

At least 90 means greater than or equal to 90

So, we have:

6B + 10G \geq 90

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Guys plzzz help me i don't know how to figure out this question 10(6x+7)=26
Mekhanik [1.2K]
What is x
First you use distributive property
60x+70=26
Next subtract 70 on both sides which gives you -44
60x=-44
Then you divide 60 into -44 which will give you -1.36__36 is repeathing
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7 0
2 years ago
Len has 3 strips of construction paper. Each strip is the same size and a different color-red, yellow, and pink. He tapes the st
Helen [10]

Answer:

2/6

Step-by-step explanation:

Each of the rectangle strips are taped together to form a rectangle. Therefore 1 of the third of the rectangle would be red, this means that 1/3 of the rectangle would be red color. The rectangle is then divide into sixths, this can be achieved by dividing each of the taped strip into 2.

Therefore 2 of the sixths rectangle would be red in color, Hence the fraction of the rectangle that would be red is given as 2/6

7 0
3 years ago
55% of the attending crowd was female. If the crowd has 1345 people, how many females are there ?
Assoli18 [71]
Not sure but maybe 740
3 0
3 years ago
Given that f(x) = 13x2 + 156, find x. A) x = ±2i 3 B) x = ±2i 6 C) x = ±3i 5 D) x = ±3i 6
mamaluj [8]

Answer:

  A)  x = ±2i√3

Step-by-step explanation:

We presume you want to find x such that f(x) = 0.

Divide by 13:

  x² + 12 = 0

Subtract 12:

  x² = -12

Take the square root:

  x = ±i√12 = ±2i√3

3 0
3 years ago
Determine the maximized area of a rectangle that has a perimeter equal to 56m by creating and solving a quadratic equation. What
sveticcg [70]

Answer:

Area of rectangle = 196\,m^2

Length of rectangle = 14 m

Width of rectangle = 14 m

Step-by-step explanation:

Given:

Perimeter of rectangle is 56 m

To find: the maximized area of a rectangle and the length and width

Solution:

A function y=f(x) has a point of maxima at x=x_0 if f''(x_0)

Let x, y denotes length and width of the rectangle.

Perimeter of rectangle = 2( length + width )

=2(x+y)

Also, perimeter of rectangle is equal to 56 m.

So,

56=2(x+y)\\x+y=28\\y=28-x

Let A denotes area of rectangle.

A = length × width

A=xy\\=x(28-x)\\=28x-x^2

Differentiate with respect to x

\frac{dA}{dx}=28-2x

Put \frac{dA}{dx}=0

28-2x=0\\2x=28\\x=14

Also,

\frac{d^2A}{dx^2}=-2

At x = 14, \frac{d^2A}{dx^2}=-2

So, x = 14 is a point of maxima

So,

y=28-x=28-14=14

Area of rectangle:

A=xy=14(14)=196\,m^2

Length of rectangle = 14 m

Width of rectangle = 14 m

5 0
3 years ago
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