Given the function T(z) = z – 6, find T(–4).  A.10
B.–10
C.2
D.–2

What is the range of the function: {(1, 2); (2, 4); (3, 6); (4, 8)}?
A.{2, 4, 6, 8}
B.{1, 2, 3, 4}
C.{6, 8}
D.{1, 2, 3, 4, 6, 8}

What is the domain of the function: {(1, 3); (3, 5); (5, 7); (7, 9)}?
A.{3, 5, 7, 9}
B.{1, 3, 5, 7}
C.{1, 9}
D.{1, 3, 5, 7, 9}

Suppose p varies directly as d, and p = 2 when d = 7. What is the value of d when p = 10?
A. d =20/7
B.d = 15
C. d =7/5
D.d = 35

The number of calories burned, C, varies directly with the time spent exercising, t. When Lila bikes for 3 hours, she burns 900 calories. Which of the following equations shows this direct linear variation?  A.C = 300t  B.C = t  C.C = 3t  D.C = 900t

Answers

Answer 1

Answer: $(1)\nT(z)=z-6\ \ \ \Rightarrow\ \ \ T(-4)=-4-6=-10\ \ \ \Rightarrow\ \ \ Ans.\ B.\n\n(2)\nrange:\ \ \ Y=\{2;\ 4;\ 6;\ 8;\}\ \ \ \Rightarrow\ \ \ Ans.\ A.\n\n(3)\ndomain:\ \ \ D=\{1;\ 3;\ 5;\ 7\}\ \ \ \Rightarrow\ \ \ Ans.\ B.\n\n(4)\n (p)/(d) =constant\n\n(2)/(7) =(10)/(d) \ \ \ \Leftrightarrow\ \ \ 2d=7\cdot10\ \ \ \Leftrightarrow\ \ \ d= (7\cdot2\cdot5)/(2) =35\ \ \ \Rightarrow\ \ \ Ans.\ D.$

$(5)\n900\ calories\ \rightarrow\ 3\ hours\nx\ \rightarrow\ \ 1\ hour\n\nx= (900)/(3) \ calories=300\ calories\n\nC=300\cdot t\ \ \ \Rightarrow\ \ \ Ans. \ A.$

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Use the figure to identify each pair of angles as complementary angles, supplementary angles, vertical angles, or none of these.A: angles 1 and 5
B: angles 3 and 5
C: angles 3 and 4

Answers

Complimentary means parts of a 90* angle. So 1 and 5. Then 3 and 5 are vertical, and 3&4 supplementary because they make up a 180*. So comp=90, supp=180, and vertical are opposite sides of an X shape

How many square feet of outdoor carpet will we need for this hole?

Answers

Answer:

6 square feet of outdoor carpet will be needed for the given hole.

Step-by-step explanation:

We need to find how many square feet of outdoor carpet will be needed for the hole.

So, to find the required outdoor carpet we need to calculate the area of the hole.

Now, from the diagram, the hole is in the shape of a rectangle.

So, Area or rectangle = Length × width

Length = 3 feet and Width = 2 feet

⇒ Area = 3 × 2 = 6 feet²

Hence, 6 square feet of outdoor carpet will be needed for the given hole.

The area of the outdoor carpet given in the image is gotten as; 36 ft²

What is the required area of the shape?

We can see the shape of the outdoor carpet is a triangle. However, a rectangular shape is cut out of it. Thus;

Area of outdoor carpet = (Area of triangle) - Area of rectangle

Area of triangle = ½ × base × height

Area of triangle = ½ × 7 × 12

Area of triangle = 42 ft²

Area of rectangle = 3 * 2

Area of rectangle = 6 ft²

Thus;

Area of outdoor carpet = 42 - 6

Area of outdoor carpet = 36 ft²

Read more about Area of a triangle at; brainly.com/question/17335144

What is a commutative property of multiplication?

Answers

It means the same as it sounds like. It means that it joins others .

Max delivers 8,520 pieces of mail in one year. If he delivers the same number of pieces of mail each month, about how many pieces of mail does he deliver in 2 months? Explain your steps.Can you help me and explain this question... Thanks!

Answers

So there are 12 months in a year and he delivers 8,520 in that time. You must divide 8,520 by 12 which gives you how many he delivers in one month. 8,520/12=710. You are looking for two months so you should then multiply 710 by two giving you how much he delivers in 2 months.
710*2=1,420
Max delivers 1,420 pieces of mail in two months

The vertices of Triangle ABC are Upper A (-4, 4), Upper B (-2, 3) and Upper C (- 3, 2). If Triangle ABC is reflected across the line y= -2 to produce the image A'B'C', find the coordinates of the vertex B'.