What is the y-intercept of the line defined by the equation y + 3x - 4 = 0?
-4
-4/3
4/3
4

Answer:

-1/3

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

Answer:

-3/4

Step-by-step explanation:

3x + 4y = 8....find the slope

in y = mx + b form, the slope can be found in the m position...so lets put this equation in y = mx + b form

3x + 4y = 8.....subtract 3x from both sides

4y = 8 - 3x.....now divide both sides by 4

y = 2 - 3/4x....rearrange

y = -3/4x + 2

y = mx + b

y = -3/4x + 2

as u can see, the number in the m position (the slope) = -3/4

The slope of the line represented by the equation 3x + 4y = 8 is -3/4.

The slope of a line can be determined from its equation in slope-intercept form, which is of the form y = mx + b. The coefficient of x, m, represents the slope of the line. In the given equation 3x + 4y = 8, we can rearrange it to the slope-intercept form by isolating y: 4y = -3x + 8, y = (-3/4)x + 2. Therefore, the slope of the line represented by this equation is -3/4.

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Answers:

a) [tex]\frac{A}{r}=2.5 \pi=7.85[/tex]

b) [tex]\frac{A}{r^{2}}=\pi=3.14[/tex]

Step-by-step explanation:

Assuming each grid has dimensions of 1x1, the radius of this circle is:

[tex]r=2.5[/tex]

On the other hand, the area of a circle is:

[tex]A=\pi r^{2}[/tex]

With this information we will solve this exercise:

a) [tex]\frac{A}{r}[/tex]

[tex]\frac{\pi r^{2}}{r}=\pi r[/tex]

[tex]\pi r=(3.14)(2.5)=7.85[/tex]

b) [tex]\frac{A}{r^{2}}[/tex]

[tex]\frac{\pi r^{2}}{r^{2}}=\pi=3.14[/tex]

Answer:

Step-by-step explanation:

26 messages during 13 days...

26/13 = 2 texts per day <===

Answer:

34.9 %

Step-by-step explanation:

(22 ÷ 63) ×100 = 34.9206...

=34.9 %

Im BIg Brain SoryStep-by-step explanation:

Answer:

The answer is r = -3.

Step-by-step explanation:

Given:

-60=-24+12r.

Now, to solve it:

[tex]-60=-24+12r[/tex]

Adding both sides by 24 we get:

[tex]-36=12r[/tex]

Dividing both sides by 12 we get:

[tex]-3=r[/tex]

[tex]r=-3.[/tex]

Therefore, the answer is r = -3.

Answer:

-0.7

Step-by-step explanation:

-2n+1.8=3.2

-2n=3.2-1.8

-2n=1.4

n=1.4/-2

n=-0.7

Answer:

  1 7/33

Step-by-step explanation:

To find the fraction when the repeating digits start at the decimal point, put the repeating digits over the same number of 9s. Here, your mixed number is ...

  [tex]1.\overline{21}=1\frac{21}{99}=1\frac{7}{33}[/tex]

Answer:Tag 30*(2\/3)=x

Step-by-step explanation:

Tag 30*= x/2\/3;

Tag 30*(2\/3)=x

Answer: 5 players on each team

Step-by-step explanation:

5+7+8= 4/20

The value of f(5) is [tex]f(5)=-5[/tex]

Step-by-step explanation:

The function is [tex]f(x)=-2x+5[/tex]

To find [tex]f(5)[/tex] substitute [tex]x=5[/tex] in [tex]f(x)=-2x+5[/tex]

[tex]f(5)=-2(5)+5[/tex]

Multiplying the terms, we get,

[tex]f(5)=-10+5[/tex]

Adding the terms, we get,

[tex]f(5)=-5[/tex]

Thus, the value of [tex]f(5)[/tex] is [tex]f(5)=-5[/tex]

Answer:

8/12 < 3/4

8/12 is less than 3/4.

The relation symbol that makes the comparison 8/12 _____ 3/4 true is '<', meaning 8/12 is less than 3/4.

The student is dealing with a mathematical comparison of fractions. They are asked to find a relation symbol to correctly fill the blank between 8/12 and 3/4. To determine the correct symbol, we need to first compare these fractions correctly.

Applying simplification, we can reduce 8/12 to 2/3. Now, we have a comparison between 2/3 and 3/4. In order to compare them, we can convert these fractions to similar denominators or we could convert them to decimals. Using that method we have 2/3 which equals to approximately 0.667, and 3/4 which equals to 0.75.

Since 0.75 > 0.667, the relation symbol that makes 8/12 relates to 3/4 is '<' (less than).

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Answer:

y= -2x+4

Step-by-step explanation:

To find the slope find 2 points and use "rise/run", that will get -2

To find the y-intercept look at where the line crosses the y-axis. that will be 4

so -2x+4

Answer:

17t-11u

Step-by-step explanation:

8(t-u)+3(3t-u)

8t-8u+9t-3u

8t+9t-8u-3u

17t-11u

Answer:

y=-2

Step-by-step explanation:

this is a function

the input x = 2 so look for the line x=2

then look at the blue line, the function, and see at what point the line x=2 intersects the function. then find the value of the y coordinate of that point.

-9x - 5 = -95

-9x = -95 + 5

-9x = -90

x = -90/-9

x = 10

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Answer:

Step-by-step explanation:

3y - 6 = 18

3y = 24

y = 8

Answer:

8

Step-by-step explanation:

Answer:

6/7 of a carton

Step-by-step explanation:

3 x 2= 6

6/7

Answer:

Step-by-step explanation:

Let c and m represent the number of commercials and movies playing Alexa's songs, respectively.

  20c +110m = 340 . . . . . total royalties earned

  c + m = 8 . . . . . . . . . . . . total number of plays

___

Alexa's songs were played in 6 commercials and 2 movies.

Answer:

she died

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total number of households were 116 million.

Hence, 100% = 116 million.

33% of the total US households owned at least one cat.

Hence, the number of household having at least one cat is [tex]\frac{33\times116}{100} = \frac{3828}{100} = 38.28[/tex] million.

It is also given that 56% of that 38.28 million households owned at least 2 cats.

Hence, the number of households having 2 cats is [tex]\frac{56\times38.28}{100} = \frac{2143.68}{100} = 21.4368[/tex] million.

To find the number of households that owned at least two cats in 2009, we need to calculate 56% of the total number of households that owned cats. We can use the information provided by The Humane Society and the US Census Bureau to calculate this number.

To find the number of households that owned at least two cats in 2009, we need to calculate 56% of the total number of households that owned cats. First, we find the number of households that owned at least one cat by calculating 33% of the total number of households. Then, we multiply this number by 56% to find the percentage of households that owned at least two cats. Finally, we multiply this percentage by the total number of households to get the final answer.

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Answer:

Step-by-step explanation:

The given line has a negative slope. It means with increasing value of x, y will be decreasing. It has a negative y-intercept that is at x = 0, y is less than 0.

If the value of x will be greater than 0, the value of y will be going downwards continuously.

If x > 0, y < 0, as the line has a negative y-intercept.

A point in first quadrant means x > 0 as well as y > 0.

Hence, the line cannot pass through the first quadrant.

A line with a negative slope and a negative y-intercept will not pass through Quadrant I.

A line with a negative slope indicates that as the x-value increases, the y-value decreases. A negative y-intercept means that the line intersects the y-axis below the origin.

Quadrant I is the region of the coordinate plane where both x and y are positive. Since the line has a negative slope and a negative y-intercept, it will not intersect Quadrant I.

As the x-value increases in Quadrant I, both x and y will be positive, which contradicts the line's negative slope. Additionally, the line's negative y-intercept places it below the x-axis, further preventing it from intersecting Quadrant I.

Therefore, the line will pass through Quadrants II, III, and IV, but not Quadrant I.

Answer:

5/6

Step-by-step explanation:

Multiply both sides of equation by 10/3.

d = 1/4 × 10/3

d = 10/12 = 5/6

Step-by-step explanation:

If you divide by a fraction you can write it as multiplying with the opposite of that fraction

d=1/4 / 3/10

d=1/4 × 10/3=10/12=5/6

Answer:

$40

Step-by-step explanation:

33 1/3% is equal to 1/3. 1/3 less than something is 2/3 of it. 2/3 of $60 is $40.

To find what is 33 1/3% less than $60, you multiply $60 by 2/3 (since removing 33 1/3% is equivalent to keeping 2/3 of the value). This calculation results in $40.

To find what is 33 1/3% less than $60, first, understand that 33 1/3% is equivalent to one third. Taking one third away from a number is the same as multiplying that number by 2/3 (since 1 - 1/3 = 2/3). Therefore, you would calculate $60 multiplied by 2/3 to get the answer.

$60 × 2/3 = $40.

So, 33 1/3% less than $60 is $40. This calculation shows how percentages can be easily translated into fractions for calculations that involve finding a percentage of a given number, or what a number is after it has been increased or decreased by a certain percentage.

Answer:

Slope: [tex]-\frac{1}{2}[/tex]

Y-Intercept: [tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

~Hope this helps .^.~

Answer:

[tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]

Step-by-step explanation:

Given:

Given expression is.

[tex]= a^{\frac{5}{2}}[/tex]

We need to write the given expression in radical form.

Solution:

Rewrite the expression as.

[tex]= a^{\frac{5}{2}}[/tex]

Now we extract power as [tex](a^{m})^{\frac{1}{n} }=a^{\frac{m}{n}}[/tex]

[tex]=(a^{5})^{\frac{1}{2} }[/tex]

Now we write the above expression in radical form and simplify.

[tex]=\sqrt[2]{(a^{5})}[/tex]

[tex]=\sqrt[2]{(a\times a)\times (a\times a)\times a}[/tex]

[tex]=\sqrt[2]{a^{2}\times a^{2}\times a }[/tex]

[tex]= a\times a\times \sqrt[2]{a}[/tex]

[tex]= a^{2}\times \sqrt[2]{a}[/tex]

[tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]

Therefore, the radical form of the given expression [tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]

Answer:

48 cubes

Step-by-step explanation:

The complete question is

A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 unit cubes does it take to fill the prism?

step 1

Find the volume of the cube

The volume of the cube is equal to

[tex]V=b^{3}[/tex]

where

b is the length side of the cube

we have

[tex]b=\frac{1}{2}\ units[/tex]

substitute

[tex]V=(\frac{1}{2})^{3}[/tex]

[tex]V=\frac{1}{8}\ units^{3}[/tex]

step 2

To find out how many half-unit cubes are needed to fill the prism, divide the volume of the prism by the volume of the cube

[tex]6:\frac{1}{8}=48\ cubes[/tex]

We’ll use x to represent the mystery number.

“Sixteen less than” means subtraction, so we have 16 -

“Less than a number” simply means 16 - x

“Equals - 19” sets 16 - x equal to -19. In other words, 16 - x = -19

To solve, we subtract 16 to get x alone:

-x = -35

Divide the entire equation by -1 to make x positive:

-1(-x = -35) leaves us with x = 35

Answer:

17z + 9 = 4z + 5

13z + 9 = 5 (you have to take the 4x to the opposite of the equal sign to subtract it)

13z = 5 - 9

13z = -4

z = -4/13

Exactly one solution