solve the equation for y: 1 / 3 x + y equals 4 ​

Answer:

Step-by-step explanation:

In right triangle sum of two angles is 90°

Angle y is exterior angle and equals non-adjacent interior angles

Answer:1.875

Step-by-step explanation:

The solution to the expression "-2.5 times (-3/4)" is 1.875.

A set of numbers, variables, and mathematical operations that may be evaluated to yield a value are referred to as expressions in mathematics. A single number or variable might be used, or it can be more complicated and involve several words and processes.

To find the solution to the expression "-2.5 times (-3/4)", we can follow these steps:

Step 1: Multiply -2.5 by -3/4,

-2.5 x (-3/4) = (2.5/1) x (3/4) = (2.5 x 3) / (1 x 4) = 7.5/4

Step 2: Simplify the fraction,

To simplify the fraction 7.5/4, we divide the numerator (7.5) by the denominator (4).

7.5 ÷ 4 = 1.875

In summary, when we multiply -2.5 by -3/4, we get 7.5/4, which simplifies to 1.875.

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Inequality Form = X > -1

Interval Notation = (-1,∞)

Answer:

x>-1

Step-by-step explanation:

move the 5 to the other side by subtracting both sides by 5:

-2x+5-5<7-5

=

-2x<2

Divide by negative 2

(Reminder when you divide or multiply anything by negative you need to switch the signs to the other side)

x>-1

Hope this helps!

Answer:

1. D

2. F

3. F

4. C

5. F

6. B

Step-by-step explanation:

1. To find the slope, take two points from the table (in this case I'll use points (-3, 7) and (-1, 4)) and put them into the expression: [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{4-7}{-1-(-3)}[/tex]

Solve:

4 - 7 = -3

-1 - (-3) = -1 + 3 = 2

The slope is -[tex]\frac{3}{2}[/tex]

2. I used the same process I used in number 1 using the points (-2, 4) and

(1, -1)

3. The slope of both equations represents how much each t-shirt was sold for. This means that whichever equation has a higher slope made greater profits. The slope of store B is 3.75 - we know this because the equation given is in y = mx, where m is the slope. To find the slope of store A, use the method I used in question 1 using two points from the graph ( I used points (0, 0) and (10, 40)). The slope of store A is 4, which is greater than 3.75, meaning that Store A made a greater profit per t-shirt.

4. To find the slope and y-intercept of this equation, let's convert the equation to slope-intercept form, y= mx + b, where m is the slope and b is the y-intercept. To do this we have to isolate the y:

y + 9x = -6

Subtract 9x from both sides to isolate the y:

y + 9x - 9x = -6 - 9x

y = -6 - 9x

This equation can also be written as: y = -9x - 6

Now we can see that the slope is -9 and the y-intercept is -6.

5. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Slope is also known as rise over run. Looking the graph, for every  2 points it decreases on the y-axis, it increases by 1 on the x-axis. This can be written as -2/1, or simply -2. To find the y-intercept, find the point on the graph where the line intersects the y-axis. In this case, it's at y = -1. Now that we know the values of our slope and y-intercept, we can put them into the equation:

y = mx + b

y = -2x - 1

6. The y-intercept represents the amount Alice will have to pay for the game center before she pays for any guests. This value is $100.

Answer:

Step-by-step explanation:

When the graph is evaluated, you will find that

f(-4) = -3, and g(-2) = 6.

Therefore:

3•f(-4) - 3•g(-2) = 3•-3 - 3•6 = -9 - 18 = -27

Answer: p=8

Step-by-step explanation:

Answer:

Standardized score is -0.22

Step-by-step explanation:

Here, we want to calculate z-score

z-score = (x - mean)/SD

z-score = (163.2-166.3)/14 = -0.22

Answer:

u = 12

Step-by-step explanation:

.................

Here you go! hope this is what you were looking for!

Answer:

Step-by-step explanation:

11. ......................................................

When the roots are equal, the discriminant equals zero

Substituting the values and solving for k:

12. ......................................................

The values of

The sum  and the product of the roots is:

(i)

(ii)

Answer:

8 >_ 3 +x

Step-by-step explanation:

X = 5 and any numbers below 5

Answer:

8 ( > or equal to) n + 3

Step-by-step explanation:

I hope this helps :)

The answer to this question is 10 cm

In this question, you asked the height and given the volume of water(2400cm3), aquarium length(20cm), and aquarium width(12cm).

Then you need to divide the volume with the length and width. The equation would be:

Aquarium height= volume / length / width

Aquarium height= 2400 cm3 / 20cm / 12 cm = 10cm.

Answer:

$2.70

Step-by-step explanation:

9 x 20 = 180

9 x 30 = 270

hope it helped

Answer: Im sorry if i'm wrong but i think the intercept is 2

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

trust me

Answer:

i got 110 lol

Step-by-step explanation:

165/1.5= 110

Answer:The three consecutive integers are 23, 24 and 25

Step-by-step explanation:

23+24+25=72

Answer:

Step-by-step explanation:

10+3+25=

13+25=

38

Answer:

Its c if you have the drop down menu

Step-by-step explanation:

Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. After Juan pays his mother back the $13 he borrowed, his profit is $12.

12(-13)=25 So its c

Triangle ABC is an isosceles triangle. This means that base angles A and C are the same measure.

Triangle CDE is also isosceles. This means that angles C and D are the same measure.

The hatch marks shown in both triangles clearly indicate this fact of geometry.

So, if angle C is 40 degrees, C and D must be 70 degrees each because the sum of the angles in a triangle is 180 degrees.

Angle C = 70 degrees.

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[tex] \frac{3x}{x - 2} = 7 \\ [/tex]

Multiply sides by ( x - 2 )

[tex](x - 2) \times \frac{3x}{x - 2} = (x - 2) \times 7 \\ [/tex]

Simplification

[tex]3x = 7x - 14[/tex]

Subtract sides 7x

[tex] - 7x + 3x = - 7x + 7x - 14[/tex]

Simplification

[tex] - 4x = - 14[/tex]

Negatives simpliflies

[tex]4x = 14[/tex]

Divide sides by 4

[tex] \frac{4x}{4} = \frac{14}{4} \\ [/tex]

[tex]x = \frac{7}{2} \\ [/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Answer:

x = [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x}{x-2}[/tex] = 7 ( multiply both sides by x - 2 )

3x = 7(x - 2) ← distribute

3x = 7x - 14 ( subtract 3x from both sides )

0 = 4x - 14 ( add 14 to both sides )

14 = 4x ( divide both sides by 4 )

[tex]\frac{14}{4}[/tex] = x , that is

x = [tex]\frac{7}{2}[/tex]

Answer:

Step-by-step explanation:

-2 <= x + 3

x >= -5

x+3 <= 7

x <= 4

Answer:

x ∈[-5,4]

Step-by-step explanation:

Let h(x) = 0.

Set each factor to 0 and solve for x.

-(x - 5) = 0

Disregard the negative sign in front of the parentheses.

x - 5 = 0

x = 5 is a zero.

x - 13 = 0

x = 13 is another zero.

The smaller zero is 5.

The larger zero is 13.

Both numbers make the quadratic function become zero.

Use the FOIL METHOD to express h(x) in standard form.

h(x) = -(x - 5)*x - 13)

After using FOIL, we get -x^2 + 18x - 65.

The square x term has a -1 in front. This number is the value of a in the formula below. The coefficient of x is 18. This is our b value.

x = -b/2a

x = -(18)/2(-1)

x = 18/2

x = 9

This number 9 just found is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify.

h(9) = -(9)^2 + 18(9) - 65

h(9) = 16

The vertex is located at the point (9, 16).

The smaller zero is 5 and larger zero is 13. The vertex is located at the point (9, 16).

Let h(x) = 0.

A. Now Set each factor to 0 and solve for x.

-(x - 5) = 0

Disregard the negative sign;

x - 5 = 0

x = 5 is a zero.

x - 13 = 0

x = 13 is another zero.

The smaller zero is 5 and larger zero is 13.

B. Both numbers make the quadratic function become zero.

So, Use the FOIL METHOD to express h(x) in standard form.

h(x) = -(x - 5)(x - 13)

we get -x^2 + 18x - 65.

x = -b/2a

x = -(18)/2(-1)

x = 18/2

x = 9

Hence, This number 9 just found is the x-coordinate of the vertex.

In order to find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify;

h(9) = -(9)^2 + 18(9) - 65

h(9) = 16

Hence, The vertex is located at the point (9, 16).

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Answer:

There will be No solution for the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex]. Option B is correct.

Step-by-step explanation:

We need to determine how many solutions the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex] have.

Solving the equation and finding the solutions

[tex]9x - 4 = - 3x + 5 + 12x[/tex]

Combining like terms, Moving 3x and 12x to left side of equality and changing their signs and moving 4 on right side of equation and changing sign.

[tex]9x +3x-12x = 5 + 4[/tex]

Simplifying

[tex]12x-12x = 9\\0=9[/tex]

Solving the equation we get 0=9 which is false. So, there will be No solution for the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex]. Option B is correct.

Answer:

15/16

Step-by-step explanation:

Using the order of operations, we need to multiply in the parentheses first...

3/5*25/24=75/120, which simplifies to 5/8.

Next, we need to divide 5/8 by 2/3. To divide, we can actually multiply by the reciprocal, which is flipping the fraction that you are dividing by. In this case, we need to multiply 5/8 by the reciprocal of 2/3. The reciprocal of 2/3 is 3/2, so we need to multiply 5/8 by 3/2.

5/8*3/2=15/16

This is the final answer!

I hope this helped you out!! Have an amazing day φ(゜▽゜*)♪

Answer:

             The answer is 1,464.

The answer will be -1,464, when 1464 is "below sea level".

I hope it help you...

Answer:

x=9 ! hope this helps

Step-by-step explanation:

Edge 2020

Answer:

x= 2i√2

Step-by-step explanation:

Combine terms 10x^2+83=3

Subtract 83 from both sides 10x^2=-80

Divide 10 from both sides x^2=-8

Take square root of each side x= square root of -8

Since there is no perfect square we do prime factorization of the 8 we get 4 and 2.

4 is a perfect square so it stays outside (but remember that what stays outside has the be result of the square so its a 2) and two stays inside the square

2√2

Remember that the response was negative so we have to add i.

Therefore, x= 2i√2

Answer:

30 meters/second

Step-by-step explanation:

120/4 = 30

Answer:

The slope is -2. The y intercept is 4.

Step-by-step explanation: