All categories

3 years ago

Which of the given expressions results in 0 when evaluated at x = 5?

Mathematics

1 answer:

galben [10]3 years ago

7 0

Answer:

Step-by-step explanation:

Look for an expression with (x - 5 ) as this will give zero when x = 5, that is

x - 5 = 5 - 5 = 0

The only expression with a factor of (x - 5 ) is B

You might be interested in

Can someone help me with this?

creativ13 [48]

The missing values are 28° and 62°

<h3>What are perpendicular lines?</h3>

Perpendicular lines are said to be two lines that intersect or meet each other at right angles, that is 90 degrees.

From the information given, we have that;

Line AC ⊥ Line BE

Where:

m ∠ ADE = (x + 5)°
m ∠ DBE = (3x - 7)°

Hence,

x + 5 + 3x - 7 = 90

collect like terms

4x = 90 + 2

4x = 92

Make 'x' the subject

x = 92/ 4

x = 23

For the missing values

m ∠ ADE = (x + 5)° = ( 23 + 5) = 28°

m ∠ DBE = (3x - 7)° = (3(23) - 7) = 62°

Thus, the missing values are 28° and 62°

Learn more about perpendicular lines here:

brainly.com/question/17683061

#SPJ1

8 0

1 year ago

Mrs. Ross needs to buy dish soap. There are four differently sized containers. Sort the brands from least to the greatest unit p

r-ruslan [8.4K]

Answer: Spotless soap < Bright wash < Lemon bright < lot of suds

Step-by-step explanation:

Given that 8 oz of Lots of suds cost = $0.98

Then unit price of 1 lot of suds = 0.98/8 = $0.1225

Given that 12 oz of Bright wash cost = $1.29

Then unit price of 1 Bright wash = 1.29/12 = $0.1075

Given that 30 oz of Spotless soap cost = $3.14

Then unit price of 1 Spotless soap = 3.14/30 = $0.104666666667

Given that 32 oz of Lemon bright cost = $3.50Then unit price of 1 Lemon bright = 3.50/32 = $0.109375

We also need to round the values to the nearest thousandth means three digits after decimal

Then unit price of 1 lot of suds = $0.123

unit price of 1 Bright wash = $0.108

unit price of 1 Spotless soap = $0.105

unit price of 1 Lemon bright = $0.109

Now we can easily sort them

0.105 < 0.108 < 0.109 < 0.123

respective names in sorted order are:

Spotless soap < Bright wash < Lemon bright < lot of suds

8 0

3 years ago

Draw three rectangles that 2 cm long and 1 cm wide. On each rectangle show a different way to divide the rectangle in half. Then

andrew11 [14]

You can draw the 3 rectangles with these measurements then divide one horizontally one vertically and one slanted from one top corner to one bottom corner

5 0

3 years ago

There are 1/6 gallons of water in a 2/3 gallon container. What fraction of the container is filled?

Ivenika [448]

Answer:

1/4

Step-by-step explanation:

2/3 multiply top and bottom of fraction by 2

4/6 is the capacity of the container

1/6 is filled

so 1/4 of the container is filled

6 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through each points (5,6) (3.4)

ioda

Answer:

$y = x + 1$ .

Step-by-step explanation:

Start by finding the slope of this line.

If a slanting line goes through $(x_{0},\, y_{0})$ and $(x_{1},\, y_{1})$ , where $x_{0} \ne x_{1}$ , the slope of this line would be:

$\begin{aligned}m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}}\end{aligned}$ .

The line in this question goes through $(5,\, 6)$ and $(3,\, 4)$ . Hence, the slope of this line would be:

$\begin{aligned}m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}} \\ &= \frac{6 - 4}{5 - 3} \\ &= 1\end{aligned}$ .

If a slanting line with a slope of $m$ and goes through the point $(x_{0},\, y_{0})$ , the equation of this line in the point-slope form would be:

$y - y_{0} = m,\, (x - x_{0})$ .

For the line in this question, the slope is $m = 1$ . Take $(5,\, 6)$ as the chosen point on this line. The point-slope form equation of this line would be:

$y - 6 = (x - 5)$ .

Rewrite to obtain the equation of this line in the slope-intercept form:

$y = x + 1$ .

7 0

3 years ago