All categories

3 years ago

|x+4|+10=21 solve the following

Mathematics

2 answers:

Ymorist [56]3 years ago

7 0

Answer:x1=-15;x2=7

Step-by-step explanation:

|x+4|+10=21

|x+4|=21-10

|x+4|=11

x+4=11

x+4=-11

x=7

x+4=11

x=7

×=-15

The equation has 2 solutions

x1=-15 x2=7

borishaifa [10]3 years ago

3 0

Answer: x = 7, x = -15

Step-by-step explanation:

This is an absolute value equation, so it has to be simplified first

|x+4|+10=21

|x+4|=11

Then you set it equal to the two values it can be, getting rid of the absolute value sign.

x+4=11

x+4=-11

x = 7

x = -15

Voila!

You might be interested in

Some time ago , Keith's height and his nephew's height were at a ratio of 15:7. Then, Keiths height increased by 16% and his nep

GaryK [48]

Answer:

The answer is below

Step-by-step explanation:

The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.

$\frac{x}{y}=\frac{15}{7} \\x=\frac{15}{7}y$

Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x

The nephew height is doubled, therefore his new height is 2y.

Given that Keith is now 34 cm taller than his nephew

1.16x = 2y + 34

but x = (15/7)y

$1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm$

The nephews new height = 2y = 2(70) = 140 cm

Keith new height = 2y + 34 = 140 + 34 = 174 cm

Their total current height = 140 cm + 174 cm = 314 cm

3 0

3 years ago

The values in the table represent a function.

sweet [91]

Answer:

f(-6) = 8

f(3) = -2

f(x) = -5 when x is 4

Step-by-step explanation:

* Lets explain how to solve the problem

- The table of the function has two column

# First column labeled x with entries:

-6 , 7 , 4 , 3 , -5

# Second column labeled f(x) with entries:

8 , 3 , -5 , -2 , 12

∴ The ordered pairs of the function f(x) are:

(-6 , 8) , (7 , 3) , (4 , -5) , (3 , -2) , (-5 , 12)

* Lets complete the missing

∵ The value of x in the first row is -6

∵ The value of f(x) in the first row is 8

∴ The function notation in the 1st row is f(-6) = 8

- The ordered pair given in the first row of the table can be

written using function notation as f(-6) = 8

∵ The ordered pair whose x = 3 is (3 , -2)

∴ The value of f(x) when x = 3 is -2

∴ f(3) = -2

∵ The ordered pair whose f(x) = -5 is (4 , -5)

∴ The value of x when f(x) = -5 is 4

∴ f(x) = -5 when x is 4

6 0

3 years ago

Read 2 more answers

a full punch bowl holds 4 gallons of punch. if each glass holds 4 ounces of punch how many glasses can be filled from a full pun

erma4kov [3.2K]

There is 128 ounces in a gallon figure out how many 4 oz cups can take 1 gallon away then times that number by 4

7 0

3 years ago

Read 2 more answers

Draw a function of dy/dx for the graphical below (image). Please help!

fenix001 [56]

Step-by-step explanation:

Remember that

$\frac{dy}{dx}$

is the gradient or slope function.

So we need to analyze the slope of each graph over given time.l and how it changes.

For the 1st graph, we have a linear function.

Remember the special properties for all linear functions:

The slope at any two points on the line is the same.

So this means our slope here must be constant.

And since our slope is negative, our dy/dx, function must be a constant function that is negative. So

The answer for the first graph is draw a horizontal line underneath the x axis.

For the 2nd graph, we have a slope that is decreasing, reaches 0 at the minimum, then increases even more.

We can draw a linear function that is increasing forever for our dy/dx.

For the 3rd graph, we are increasing , till we hit 0, then decrease until we hit 0, then forever increases.

Our dy/dx will be a parabola that passes through the x axis twice at two different points, facing upwards.

The first , second, and third graph is the dy/dx graphs shown respectively.

All these are examples of possible graphs. If you need more clarification, let me know

4 0

3 years ago

Anybody know the answer?

marysya [2.9K]

I'd start by writing an equation for each of the right triangles. (Pythagorean theorem)

y² + 9² = z²
x² + z² = (4+9)²
4² + y² = x²

we want to find z so combine the equations by substituting the other variables x,y out.

substitute y² for (x² - 4²) in 1st equation.

(x² - 4²) + 9² = z²

now by rearranging the 2nd equation we can substitute x² for (13² - z²)

(13² - z²) - 4² + 9² = z²
169 - z² - 16 + 81 = z²
234 - z² = z²
234 = 2z²
234/2 = z²
117 = z²
√(117) = z
√(9*13) = z
3√(13) = z

13 goes in the box

6 0

3 years ago