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Allisa [31]
3 years ago
12

Please help with this!!!!!

Mathematics
2 answers:
alexgriva [62]3 years ago
8 0

Answer:

y = - 2x + 7

Step-by-step explanation:

Note the differences in the corresponding values of y are constant

5 - 7 = 3 - 5 = 1 - 3 = - 1 - 1 = - 3 - )- 1) = - 2

This constant is the multiplier of the x values, thus

y = - 2x ± c where c is a constant

To find c substitute values of x into the equation

x = 0 → y = 0 ← require to add 7 to obtain corresponding value of y

x = 1 → y = - 2 ← require to add 7 to obtain corresponding value of y

Thus algebraic description is

y = - 2x + 7

anastassius [24]3 years ago
7 0

Answer:

y = -2x + 7.

Step-by-step explanation:

The slope is (5-7)/1-0 = -2 ,

Checking with other values: slope = (- 3 - 7)/ (5-0) = -10/6 = -2.

So the function is  -2x + c   where c is  some constant.

Plugging in the point (0, 7):

7 = -2(0) + c

c = 7.

So the answer is y = -2x + 7.

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Write an expression so that the product of a whole number and a decimal is.0.28
Butoxors [25]

Let

x-------> the whole number

y------> the decimal number

we know that

x*y=0.28 ------> equation 1

assume the value of x and then calculate the value of y

Let

x=280

solve for y in the equation 1

y= \frac{0.28}{x}

substitute the value of x

y= \frac{0.28}{280}

y=0.001

therefore

<u>the expression is equal to</u>

280*0.001=0.28

5 0
3 years ago
I need help ASAP. Thank you :)
kvasek [131]

m∠FDE = 52°

Solution:

Given data:

DE ≅ DF, CD || BE, BC || FD and m∠ABF = 116°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠ABF + m∠CBF = 180°

116° + m∠CBF = 180°

m∠CBF = 64°

If CD || BE, then CD || BF.

Hence CD || BE and BE || FD.

Therefore BFCD is a parallelogam.

<em>In parallelogram, Adjacent angles form a linear pair.</em>

m∠CBF + m∠BFD = 180°

64° + m∠BFD = 180°

m∠BFD = 116°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠BFD + m∠DFE = 180°

116° + m∠DFE = 180°

m∠DFE = 64°

we know that DE ≅ DF.

<em>In triangle, angles opposite to equal sides are equal.</em>

m∠DFE = m∠DEF

m∠DEF = 64°

<em>sum of all the angles of a triangle = 180°</em>

m∠DFE + m∠DEF + m∠FDE = 180°

64° + 64° + m∠FDE = 180°

m∠FDE = 52°

8 0
3 years ago
A light aircraft travels 5 miles per hour less than twice the speed of a bus. If the bus can travel 114 miles in the same time i
Rufina [12.5K]
A represents the speed of the aircraft.
b represents the speed of the bus.

a=2b-5
114/b=218/a

Substitution method

114/b=218/(2b-5)

(2b-5)*(114/b)= 218

(228b-570)/b = 218

228b-570= 218b

228b-218b=570

10b= 570

b=57

Plug the value of b into one of the original equations.

a=2(57)-5
a=114-5
a=109

Final answer:
Average speed of plane= 109
Average speed of bus= 57
3 0
3 years ago
Directions: Write each equation in slope intercept form (y = mx + b)
Gnesinka [82]

Answer:

Below.

I Hope it helps :)

Step-by-step explanation:

Slope intercept form :

y=mx+b

1.

2x + y = 1

Slope intercept form :

y =  - 2x + 1

Equation :

x - 2y = 8

Slope intercept form :

- 2y =  - x + 8

or

y =  \frac{1}{2} x - 4

2.

3x + 2y = 4

Slope intercept form :

2y =  - 3x + 4 \\

Divide through by 2

y =  -  \frac{3}{2} x + 2

Equation :

x + 2y =  - 4

Slope intercept form :

2y =  - x - 4

Divide through by 2

y =  -  \frac{1}{2} x - 2

3.

4x + y = 1

Slope intercept form =

y =  - 4x + 1

Equation :

x + y =  - 2

Slope intercept form :

y =  - x  -  2

7 0
3 years ago
Which choice is similar to the figure shown?
Svetach [21]
B. 

Take 45/30, you get 1.5. 1.5 x 20 = 30. 

Hope I helped! 
8 0
4 years ago
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