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Sindrei [870]
3 years ago
14

How many positive integers less than 1000 (a) are divisible by 7? justify your answer?

Mathematics
1 answer:
mote1985 [20]3 years ago
6 0
142. 

You can get this by seeing what number you have to multiply 7 by to get as close to 1000 as you can. 7*142 = 994. Thus each one of the multiplications up to that point will give you a positive integer than can be divided by 7. <span />
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I need help with this question 1/2 + 2 3/4=?
enyata [817]

Answer:

3.25

Step-by-step explanation:

6 0
3 years ago
What is the coefficient in the expression shown?
attashe74 [19]
The coefficient would be c I believe I may be wrong
5 0
3 years ago
You are given two algebraic equations, y = 3x, and 2y = x + 20. Solve for x and y.
Yuri [45]

Answer:

x= -4 & y=-12

Step-by-step explanation:

multiply y=3x by 2

giving you 2y=6x

subtracting 2y=x+20 from 2y =6x

=> 5x=-20

dividing through by 5

=> x=-4

put x=-4 into y=3x

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<em>y</em><em>=</em><em>-12</em>

7 0
2 years ago
The function h(x) = x2 + 14x + 41 represents a parabola.
defon
Part A:

h(x)= x^{2} +14x+41

The first step of completing the square is writing the expression x^{2} +14x as (x+7)^{2} which expands to x^{2} +14x+49.

We have the first two terms exactly the same with the function we start with: x^{2} and 14x but we need to add/subtract from the last term, 49, to obtain 41. 

So the second step is to subtract -8 from the expression x^{2} +14x+49

The function in completing the square form is
h(x)= (x+7)^{2}-8

Part B:

The vertex is obtained by equating the expression in the bracket from part A to zero

x+7=0
x=-7

It means the curve has a turning point at x = -7

This vertex is a minimum since the function will make a U-shape. 
A quadratic function a x^{2} +bx+c can either make U-shape or ∩-shape depends on the value of the constant a that goes with x^{2}. When a is (+), the curve is U-shape. When a (-), the curve is ∩-shape

Part C:

The symmetry line of the curve will pass through the vertex, hence the symmetry line is x=-7

This function is shown in the diagram below




3 0
3 years ago
Read 2 more answers
Q1: Consider the slope-intercept form of the equation of the line representing the sports car's distance from Officer Franklin's
lozanna [386]
Since you didn't give the actual equation, I can only help with the mean of each part.

Q1: The coefficient of x is called the slope. That is the number in front of the x.
Q2: The constant term is the y-intercept. That is the number at the end of the equation.
4 0
3 years ago
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