MATHEMATICS HIGH SCHOOL

Point Z has the coordinates (−3,5) and is translated left 2 units and down 2 units to create point Z′.What are the coordinates of point Z′?
Enter the correct ordered pair, using parenthesis and a comma, like this: (42, 53)

Answers

Answer 1
Answer:

Answer: (-5, 3)

Step-by-step explanation:

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5 t-shirts and a hat costs £27.00 2 t-shirts and a hat costs £12.00.
How much does a t-shirt cost?
How much does a hat cost?

Answers

Answer:

£2

Step-by-step explanation:

Let T represent T-shirt and H represent hat

5T + H = £27.00

2T + H = £12.00 Subtract two equation

5T + H - 2T - H = £27 - £12 ➡ 3T = £15 and T = £5 this is the cost for a t-shirt

If a t-shirt costs £5 and 2 t-shirt + a hat costs £12 then a hat costs £2
Let say that t-shirt is X and hat is Y
We get: 5X+Y=27.00
2X+Y=12.00
solve for X in the first equation
5X+Y= 27
5X=27-Y
X=27-Y/5
Replace X= 27-Y/5 in equation 1 or 2
I use equation 2:
2*27-Y/5+Y=12
54-2Y/5+Y=12
make the denominator equal
54-2Y/5+5Y/5=12
54+3Y/5=12
Multiply 5 both side
54+3Y = 60
3Y = 60-54
3Y= 6
Y=6/3
Y=2
Replace Y= 2 in equation 1 or 2
I use 2:
2X+2=12
2X=10
X=5
Thus the answer is T-shirt cost : £5 and hat cost : £2

A customer buys five cans of baked beans, four pocket of brown sugar and two pockets from the supermarket. He gives the cashier 150 and gets 26 in change, a can of baked beans costs half as much as pocket of biscuits whilst a packet of sugar is three rand cheaper than a packet of biscuits.1. how much did all items cost
2. calculate the cost of a can of baked beans, sugar, and biscuits
3. How much will eight cans of baked beans, one packet of sugar and six pockets of biscuits cost?

Answers

The question has 3 unknowns thus we need three equations to fully solve the problem.
We let x = the price of a can of baked beans, y = the price of a packet of sugar and z = the price of a packet of biscuit
From the given, we generate the following equations;
 <1> 5x+4y+2z = Amount spent = 150-26 = 124
 <2> z = 2x
 <3> y = z -3
We use equation 2 and 3 to substitute to equation 1 in order to obtain the value of x.
5x + 4 (2x - 3) + 2(2x) = 124
5x + 8x - 12 + 4x = 124
17x = 136
x = 8 (price of a can of baked beans)
y= (2 x 8) - 3 = 13 (price of a packet of sugar)
z= 2 x 8 = 16 (price of a pocket of biscuit)

For the new set of conditions,
8x + y + 6z = (8 x 8) + 13 +(6 x 16) = 173 (Cost for the new set of conditions)
let's make b the can of baked beans.

Then biscuits are twice its prize, 2b.

s, the packet of sugar is 2b-3 - thre rand cheaper than a packet of biscuits.

1) the custommer bought:
buys five cans of baked beans, four pocket of brown sugar and two pockets


5b+4* (2b-3)+2*2b

now we calculate:

5b+4* (2b-3)+2*2b=5b+8b-12+4b=13b-12+4b=17b-12

this is equal to 150-26=124

so 17b-12=124
17b=136
b=8
So the beans cost 8, biscuits cost 8*2=16, and sugar 16-3=13
2) this would be:
8+13+16=21+16=37
3)This would be:

8*8+13+6*16=64+13+96=173
 

The diameter of circle C is 18 cm. Chord AD is the same length as a radius. Use this information, the diagram, and your experiences in geometry this semester to answer these questions. a) what are the measures of the angles BDA and DBA?. b) What is the sine of angle DBA? c) Find the length of arc AB to the nearest hundredth. d) How does the length of arc AD compare to the length of arc AB? e) If FE = 1/2 BD, then what is the degree measure of arc EF?

Answers

A ) ∠ BDA = 60°
∠DBA = 30°
B ) sin (∠DBA ) = sin 30° = 1/2
C ) arc AB = 1/3 · 2 r π = 1/3 · 18 π = 6 π = 6 · 3.14 = 18.84 cm
D ) arc AD : arc AB = 1 : 2
E ) Degree measure of an arc is equal to the measure of the central angle that intercepts the arc. The degree measure is 60° ( F E = 9 cm, r = 9 cm ). 

Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for f(h(x)).

Answers

The equation of the composite function is f(h(x)) = 2x-4.

What is Composite Function?

Function composition is an operation ∘ that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g. In this operation, the functiong is applied to the result of applying the function f to x.

Here, f(x) = x - 7

         h(x) = 2x + 3

Now, f(h(x)) = f ( 2x + 3)

                   = (2x+3)-7

                   = 2x + 3 -7

                  = 2x - 4

Thus, the equation of the composite function is f(h(x)) = 2x-4.

Learn more about Composite Function from:

brainly.com/question/20379727

#SPJ2

Answer:

Step-by-step explanation:

Write the rule for h(f(x)).

h(f(x)) = 2x - 11

Write the rule for f(h(x)).

f(h(x)) = 2x - 4

What is the average speed of the zebra during the time between 0s and 40s

Answers

You would have to know the rate that it is going at to solve it I think

Use the graph to determine the input value for which f(x) equals G(x) is true x=0.5,x=1, x=1.5,x=2

Answers

Step-by-step explanation:

1.5 is the answer I just tried it and got it correct

Answer:

1.5 I just got the correct answer on edge

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