What is 2⋅(3+5−1)⋅2<br> the dots are multiplication

gavmur [86]

Think: To write the equation of a line in slope-intercept form y=mx+b, you must have the slope (m) and the y-intercept (b).

g(0)= -6 tells us that the y-intercept is (0, -6). Thus, b= -6.

(0,-6) and (15,-9) are points on the line. Find the slope of the line. It is:
-9-(-6)
m = ------------- = -3/15 = -1/5
15-0

Thus, the equation of the line in question is y=(-1/5)x - 6.

Important that you understand that g(0)=-6 is also represented by (0,-6), and that -6 is the y-intercept.

5 0

3 years ago

Write the phrase as an expression. Then evaluate when x=5 . The sum of a number x and 4, all divided by 3 Expression: When x=5,

Crazy boy [7]

The expression is: $\frac{x+4}{3}$

The value of expression when x=5 is 3

Further explanation:

We have to translate the given sentence to form an expression.

Given

"The sum of a number x and 4"

This will be equal to:

$x+4$

"all divided by 3"

$\frac{x+4}{3}$

We will put x=5,

$\frac{5+4}{3}\\=\frac{9}{3}\\=3$

The expression is: $\frac{x+4}{3}$

The value of expression when x=5 is 3

Keywords: Expressions, Algebra

Learn more about algebraic expressions at:

#LearnwithBrainly

4 0

3 years ago

Sturdy’s paper plates cost $3.12 for 24 plates. Tough’s paper plates cost $4.32 for 32 plates. Which is the better buy?

Ksivusya [100]

Answer:

Sturdy's paper plates

Step-by-step explanation:

Let's see how much 8 plates cost:

Sturdy

24/3=8

$3.12/3= $1.04

Tough

32/4=8

$4.32/4=$1.08

$1.04<$1.08

Because Tough's paper plates costs 4 cents more for 8 plates, Sturdy's paper plates are the better buy.

5 0

3 years ago

irina [24]

Option B: 36 : 1 is the ratio of the surface area of Solid A to Solid B

Explanation:

Given that the Solid A is similar to Solid B.

The volume of Solid A is 3240 m³

The volume of Solid B is 15 m³

We need to find the ratio of the surface area of Solid A to Solid B.

Thus, we have,

$\frac{SA \ of \ Solid A}{SA \ of \ Solid B}=\sqrt[3]{\frac{3240}{15}}$

Dividing the terms, we get,

$\frac{SA \ of \ Solid A}{SA \ of \ Solid B}=\sqrt[3]{\frac{216}{1}}$

Taking cube root, we get,

$\frac{SA \ of \ Solid A}{SA \ of \ Solid B}=\frac{6}{1}$

Squaring the ratios, we get,

$\frac{SA \ of \ Solid A}{SA \ of \ Solid B}=(\frac{6}{1})^2$

$\frac{SA \ of \ Solid A}{SA \ of \ Solid B}=\frac{36}{1}$

Thus, the ratio of the surface area of Solid A to Solid B is 36 : 1

Hence, Option B is the correct answer.

8 0

3 years ago

A CAT scan produces equally spaced cross-sectional views of a human organ that provide information about the organ otherwise obt

Andrew [12]

Answer:

$V \approx 1113$

Step-by-step explanation:

Here we have

Space $x$ in cm Area in square centimeters - $A(x)$

$x = 0$ $0$
$x = 1.5$ 19
$x = 3$ 58
$x = 4.5$ 78
$x = 6$ 94
$x = 7.5$ 105
$x = 9$ 117
$x = 10.5$ 129
$x = 12$ 62
$x = 13.5$ 40
$x=15$ 0

As we can see, $0 \leq x \leq 15$ and we need to divide it into 5 subintervals, where

$\Delta x = \frac{15-0}{5} = 3$

is the length of each interval. Therefore, the subintervals are

$[0,3], [3,6], [6,9], [9,12], [12,15]$

The midpoint of the first interval is calculated as

$x^*_1 = \frac{3+0 }{2} = 1.5$

Similarly, we obtain that the midpoints of other subintervals are

$x^*_2 =4.5, x^*_3= 7.5, x^*_4= 10.5, x^*_5 = 13.5$

By the Midpoint rule, we have

$V \approx \sum_{i=1}^{5} A(x^*_i) \Delta x \\\\\phantom{V} = \Delta x (A(1.5) + A(4.5) + A(7.5) + A(10.5)+ A(13.5))$

From the given data above, we have

$A(1.5) = 19, A(4.5) = 78, A(7.5) = 105, A(10.5) = 129, A(13.5) = 40$

Therefore,

$V \approx 3 (19+ 78+ 105+129+40 ) =$ $1113$

8 0

4 years ago

What is 2⋅(3+5−1)⋅2 the dots are multiplication