Write whether each statement is true of false. Explain your reasoning.

1 answer:

5 0

6 - p....p = 1.5
6 - 1.5 = 4.5
TRUE...because when u sub in 1.5 for p, the difference is 4.5, which is less then 5.

(30)(420) = 12000 - 600
12600 = 11400...incorrect
FALSE...because the product of 30 and 420 does not equal 600 less then 12000

16.3 + 11.9 < 27
28.2 < 27..incorrect
FALSE...because the sum of 16.3 and 11.9 is greater then 27

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Which function has the greater rate of change?

asambeis [7]

Answer:

Function 1

Step-by-step explanation:

The rate of change is measured by the slope m

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{5}{6}$ x + 10 ← is in slope- intercept form

with slope m = $\frac{5}{6}$

Calculate the slope of Function 2 using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 14.25) and (x₂, y₂ ) = (1, 15.75) ← 2 ordered pairs from the table

m = $\frac{15.75-14.25}{1+1}$ = $\frac{1.5}{2}$ = 0.75 = $\frac{3}{4}$

To compare the 2 fractions we require them to have a common denominator.

$\frac{5}{6}$ = $\frac{10}{12}$ and $\frac{3}{4}$ = $\frac{9}{12}$

$\frac{10}{12}$ > $\frac{9}{12}$

Thus Function 1 has the greater rate of change

5 0

4 years ago

A bow is made from 2 2/3 yards of ribbon. Which expression gives the number of bows that can be made from 22 5/8?

galina1969 [7]

22 5/8 ÷ 2 2/3 = 8.484375
So it can make 8.484375 pieces of ribbon

8 0

3 years ago

Read 2 more answers

Work out the coordinates of the points of intersection of the graphs

avanturin [10]

Step-by-step explanation:

The point of intersection occurs when the two graphs have equal values of x and y at the same time. There is only one solution, because two straight lines can only intersect once.

$y =4x^2 + 8x + 3 , y = x + 5\\\\4x^2 + 8x + 3 = x +5\\\\4x^2 + 8x + 3 -x -5 = 0\\\\4x^2 +7x -2 =0\\\\4x^2 + 8x -x - 2 = 0\\\\4x(x + 2) -1(x+2) = 0\\\\(4x - 1)(x+2) =0\\\\4x -1 = 0 , x+2 =0\\\\x = \frac{1}{4}, -2$

$x_1 = \frac{1}{4}, x_2 =-2$

$y_1 = 4x^2 + 8x + 3 \\\\x_1 = \frac{1}{4}\\\\y_1 = 4(\frac{1}{4})^2 + 8(\frac{1}{4}) + 3 = \frac{1}{4} + 2 + 3 = \frac{1}{4} +5 = \frac{21}{4}\\\\y_2 = x+ 5\\x_2 = -2\\y_2 = -2 + 5 =3$