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3 years ago

Solve the following inequality for x.

Mathematics

2 answers:

Alexus [3.1K]3 years ago

8 0

Answer:

X < -1

Step-by-step explanation:

4x - 5 + X < -10

5x < -5

× < -1

Y_Kistochka [10]3 years ago

7 0

Answer:

x<-1

Step-by-step explanation:

4x-5+x<-10

5x-5<-10

5x<-10+5

5x<-5

x<-5/5

x<-1

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HELP ME ON THIS PLEASE!!!! SHOW WORK!!!!

Mumz [18]

Answer:

Step-by-step explanation:

ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

$\dfrac{AC}{AJ}=\dfrac{AB}{AK}$

We have:

AC = 1 + 4 = 5

AJ = 1

AB = 1 + x

AK = 1

Substitute:

$\dfrac{5}{1}=\dfrac{1+x}{1}$

$5=1+x$ <em>subtract 1 from both sides</em>

$4=x\to x=4$

ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

$\dfrac{VU}{VM}=\dfrac{VT}{VN}$

We hve:

VU = x + 8

VM = x

VT = 49

VN = 49 - 14 = 35

Substitute:

$\dfrac{x+8}{x}=\dfrac{49}{35}$ <em>cross multiply</em>

$35(x+8)=49x$ <em>use the distributive property a(c + b) = ab + ac</em>

$35x+280=49x$ <em>subtract 35x from both sides</em>

$280=14x$ <em>divide both sides by 14</em>

$20=x\to x=20$

3 0

3 years ago

Look at the graph below and answer the following.

bearhunter [10]

Answer:

Part 1) The graph has three (3) x-intercepts and has one (1) y-intercept

Part 2) The y-value of the minimum point is -3

Part 3) f(4)=3

Part 4) f(0)=3

Part 5) f(5)=1.5

Part 6) x=-6

Part 7) The horizontal line y=-1 intersects the graph three times

Part 8) The value of the function for f(6) is equal to zero

Part 9) The function is increasing on the interval (-6,-2) and (8,11) and the function is decreasing on the interval (2,8)

Part 10) The function is positive on the interval (-3,6) and (10,11) and is negative on the interval (-6,-3) and (6,10)

Step-by-step explanation:

Part 1) Find the number of x-intercepts and y-intercepts of the graph

we know that

The<u> x-intercepts</u> are the values of x when the value of y (the function) is equal to zero

Look at the graph

The graph has 3 x-intercepts

The x-intercepts are the points (-3,0), (6,0) and (10,0)

The<u> y-intercepts</u> are the values of y when the value of x is equal to zero

Look at the graph

The graph has 1 y-intercept

The y-intercept is the point (0,3)

Part 2) The y value of the minimum point on the graph is?

we know that

Look at the picture

The minimum point is (-6,-3)

therefore

The y-value of the minimum point is -3

Part 3) f(4) is equal to?

we know that

f(4) is the value of the function when the value of x is equal to 4

Look at the graph

For x=4

The value of the function is equal to y=3

therefore

f(4)=3

Part 4) f(0) is equal to?

we know that

f(0) is the value of the function when the value of x is equal to 0

Look at the graph

For x=0

The value of the function is equal to y=3

therefore

f(0)=3

Part 5) f(5) is equal to?

we know that

f(5) is the value of the function when the value of x is equal to 5

Look at the graph

For x=5

The value of the function is about y=1.5 (see the attached figure)

therefore

f(5)=1.5

Part 6) The value of x when f(x)= -3 is?

Look at the graph

we have the point (-6,-3)

when the value of f(x)=-3

the value of x is equal to x=-6

Part 7) The horizontal line y = -1 intersects the graph _____ times?

Look at the graph

The horizontal line y=-1 intersects the graph three times (see the attached figure)

Part 8) f(6) is positive or negative?

Look at the graph

we have the point (6,0)

For x=6

The value of the function is equal to zero

Part 9) Is the graph increasing or decreasing on the interval -6?

Look at the graph

The function is increasing on the interval (-6,-2) and (8,11) and the function is decreasing on the interval (2,8)

Part 10) Is the graph positive or negative on the interval 6

Look at the graph

The function is positive (f(x) > 0) on the interval (-3,6) and (10,11) and is negative (f(x) < 0) on the interval (-6,-3) and (6,10)

4 0

3 years ago

Put 3/8, 2/5, and 0.38 from least to greatest

Vesnalui [34]

3/8=0.375
2/5=0.4
0.38=0.38

0.375<0.38<0.4

therefore: 3/8,0.38,2/5

*Remember that you can convert fractions to decimals by dividing the numerator by the denominator! This makes it much easier to compare :)

5 0

3 years ago

Read 2 more answers

Help,please, thank you!

guapka [62]

Answer:

x=64°

Step-by-step explanation:

x=180-90-26 (angles on a str line)

=64°

6 0

3 years ago

Read 2 more answers

Mrs. Santiago is buying bagels for her office.Each box contains 6 plain, 4 blueberry, and2 onion bagels. Write and interpret a r

yawa3891 [41]

Explanation:

Each box contains

$\begin{gathered} 6plain \\ 4blueberry \\ 2onionbagels \end{gathered}$

The ratio that compares the number of blueberry bagels in one box to the number of onion bagels in one box will be calculated below as

$\begin{gathered} 4:2 \\ in\text{ the simplest form } \\ 2:1 \end{gathered}$

This means that for every one onionbagels in the box, there are 2 blueberry bagels

Part B:

Given that there are 20 blueberry bagels, the number if onion bagels will be calculated below as

$\begin{gathered} \frac{2}{1}=\frac{20}{x} \\ cross\text{ multiply, we will have} \\ 2x=20 \\ \frac{2x}{2}=\frac{20}{2} \\ x=10 \end{gathered}$

Hence,

The final answer is

$10\text{ }onion\text{ }bagels$

7 0

1 year ago