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Alenkinab [10]
4 years ago
12

Which expression is equivalent to (7x-5) - (3x - 2)

Mathematics
2 answers:
LuckyWell [14K]4 years ago
6 0

Answer:

(c) 4x - 7

Step-by-step explanation:

7x - 3x

= -4x

-5 -2

= -7

4x - 7

zalisa [80]4 years ago
6 0
The answer to the problem is c) 4x-7
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Lorena is driving a truck that is painting the lines on a new road. The lines she paints are 0.152 meters wide, and she will pai
Alina [70]

Answer:

  8.284 × 10^4 m^2

Step-by-step explanation:

The area is the product of length and width:

  (5.45·10^5 m)·(0.152 m) = 0.8284·10^5 m^2 = 8.284·10^4 m^2

5 0
4 years ago
Simplify -3+3(8x+4)
Zarrin [17]

Answer:

24x+9

Step-by-step explanation:

Simplify the expression.

24x+9

7 0
3 years ago
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Julie goes shopping complete the following table to show his shopping bill
Murrr4er [49]

Answer:

£75.53

Step-by-step explanation:

3tshirt=£17.82

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4bags of pasta=£3.52

toral=£17.82+£13.94+£3.52+£41.25=75.53

4 0
3 years ago
Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s
Nataliya [291]

Answer:

f(x)=\frac{1}{2}x^2-4x+5

Step-by-step explanation:

A parabola is written in the form

f(x)=a((x-h)^2+k) (1)

where:

h is the x-coordinate of the vertex of the parabola

ak is the y-coordinate of the vertex of the parabola

a is a scale factor

For the parabola in the problem, we know that the vertex has  coordinates (4,-3), so we have:

h=4 (2)

ak=-3

From this last equation, we get that a=\frac{-3}{k} (3)

Substituting (2) and (3) into (1) we get the new expression:

f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3 (4)

We also know that the parabola  contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6

So we also get:

a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}

So the equation of the parabola is:

f(x)=\frac{1}{2}((x-4)^2 -6) (5)

Now we want to rewrite it in the standard form, i.e. in the form

f(x)=ax^2+bx+c

To do that, we simply rewrite (5) expliciting the various terms, we find:

f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5

6 0
3 years ago
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malfutka [58]

Answer:

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Step-by-step explanation:

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