Solve −1/4x=7 please

Answer: x = 22

Step-by-step explanation: Since x is unknown, we want to isolate it and determine what it equals. We know that x - 3 gives us 19, but we don't want to know what x - 3 is, just x. So we can add three to both sides of the equation, to get our answer and keep it balanced. As a result, we get x = 22

Answer:

x = 22

Step-by-step explanation:

19 = x - 3

Add 3 to each side

19 + 3 = x - 3 + 3

Simplify

22 = x

Answer:

y = 2*(x - 3)^2 - 2

Step-by-step explanation:

Remember that a quadratic equation of vertex (h, k) is written as:

y = a*(x - h)^2 + k

Where a is the leading coefficient.

So, if we know that the vertex is at (3, - 2)

we have:

y = a*(x - 3)^2 + (-2)

And we want the y-intercept to be (0, 16)

This means that, when we take x = 0, we must have y = 16

if we replace these in the above equation we get:

16 = a*(0 - 3)^2 - 2

now we can solve this for a

16 = a*(-3)^2 - 2

16 = a*9 - 2

16 + 2 = a*9

18 = a*9

18/9 = a

2 = a

Then the quadratic equation is:

y = 2*(x - 3)^2 - 2

Answer:

4 m

Step-by-step explanation:

Since the flower garden is square :

Both length and width are equal :

Let :

Original side length = x

Increased length = x + 3

Area of square = s² (s = side length)

New area = 49 m²

That is ;

(x + 3)² = 49

Original length, x can be calculated thus ;

Take square root of both sides

x + 3 = √49

x + 3 = 7

x = 7 - 3

x = 4

Hence, original length of each side = 4 m

Answer:

the answer is 113.398 grams

Answer:

29

7 : 27

Step-by-step explanation:

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

The ratio of students to teachers is 2:29

this means that for every 2 teachers, there are 29 students

There are 7 doctors and 27 nurses. this means that the ratio of doctors to nurses is 7 : 27

Answer:

[tex]y=-|x-1|+3[/tex]

Step-by-step explanation:

The graph of the function ([tex]y=|x|[/tex]) can be described as a perfect (v) shape composed of two lines with the equation ([tex]y=x[/tex]) and ([tex]y=-x[/tex]) with a range of ([tex]y\geq 0[/tex]). In the depicted graph, this function has undergone some transfomrations. The general format for a transformation of an absolute value function is the following;

[tex]y=(+-)n|x-k|+h[/tex]

The function can be inverted if the sign of (n) is (-). As per the given graph, the function is inverted, thus the answer will have a (-) sign in front of it. One can see that the (n) value has to be (1) or rather not present since the function has no scaling factor.

[tex]y=-|x|[/tex]

The function has been shifted (k) units to the right, one can see that the given function's vertex is (1) unit to the right, thus the equation of the function has a (1) in the position of (k).

[tex]y=-|x-1|[/tex]

The function is shifted (3) units up, thus the position of (h) is occupied by a (3).

[tex]y=-|x-1|+3[/tex]

Therefore the following answer choice is correct, as it fits all of the requirements;

[tex]y=-|x-1|+3[/tex]

==========================================

Work Shown:

sin(A)*cot(A)

sin(A)*( cos(A)/sin(A) )

cos(A)

--------------

Basically I replaced cot(A) with cos(A)/sin(A). Then the sin(A) terms canceled out leaving cos(A) behind.

Answer:

cosA

Step-by-step explanation:

Using the identity

cotA = [tex]\frac{cosA}{sinA}[/tex] , then

sinA × cotA

= sinA × [tex]\frac{cosA}{sinA}[/tex] ( cancel sinA )

= cosA

Answer:

35

Step-by-step explanation:

Perimeter of LMK = 14 + 11 + 17

Perimeter of LMK = 42

Perimeter GHJ/ Perimeter LMK = 5/6

Perimeter GHJ / 42 = 5/ 6                      Cross Multiply

6*Perimeter GHJ = 42 * 5

6*Perimeter GHJ = 210                           Divide by 6

Perimeter GHJ = 210/6

Perimeter GHJ = 35

Answer:

(x - 2)^2 + (y + 2)^2 = 100

Step-by-step explanation:

We know that the equation for a circle with a center in the point (a, b) and a radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we know that the center of the circle is the point (2, - 2) and that the point (-4, 6) lies on the circle.

Then the radius of this circle will be the distance between (2, - 2) and  (-4, 6)

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Then the distance between (2, - 2) and  (-4, 6) is:

[tex]D = \sqrt{(2 - (-4))^2 + (-2 - 6)^2} = \sqrt{6^2 + (-8)^2} = \sqrt{100} = 10[/tex]

Then the radius of the circle is R = 10

and we know that the center is (2, -2)

the equation for this circle is then:

(x - 2)^2 + (y - (-2))^2 = 10^2

(x - 2)^2 + (y + 2)^2 = 100

Answer:

option E, C

Step-by-step explanation:

From the graph we will find the equation of g(x).

g(x) is a parabola with vertex ( h, k) = ( 0, 9)

Standard equation of parabola is ,  y = a (x - h)² + k

                                                     y = a (x - 0)² + 9

                                                     y = ax² + 9 ----------  ( 1 )

Now we have to find a .

To find a we will take another point through which the parabola passes .

Let it be ( 3, 0).

Substitute ( 3 , 0 ) in  ( 1 ) =>  0 = a (3 )² + 9

                                     => - 9 = 9a

                                     => a = - 1

Substitute a = - 1 in ( 1 ) => y = -1 x² + 9

                                  => y = - x² + 9

Therefore , g(x) = -x² + 9

Now using the table we will find h(x)

 [tex]h(x) = 4^{x}[/tex]

So g(x) = -x² + 9 and [tex]h(x) = 4^{x}[/tex]

Option A : both function increases on ( 0, ∞ ) - False

               [tex]\lim_{x \to \infty} g(x) = \lim_{x \to \infty} -x^2 + 9[/tex]

                                  [tex]= - \lim_{x\to \infty} x^2 + \lim_{x \to \infty} 9\\\\= - \infty + 9\\\\=- \infty[/tex]

g(x) decreases on ( 0 , ∞)

             [tex]\lim_{x\to \infty} h(x) = \lim_{x \to \infty} 4^{x}[/tex]

                                [tex]= \infty[/tex]

h(x) increases on ( 0, ∞)

option B : g(x) increasing on (- ∞, 0) - False

      g(x) = -x² + 9

       g( -2 ) = - (-2)² + 9

                 = - 4 + 9 = 5

       g ( -5) = - ( -5)² + 9

                =  - 25 + 9 = - 14

   As the value of x moves towards - ∞ , g(x) moves towards - ∞

   Therefore g(x) decreases on  (- ∞, 0)

Option C: y intercept of g(x) is greater than h(x) - True

         y intercept of g(x) = ( 0 , 9 )

         y intercept of h(x)  = ( 0 , 1 )

Option D : h(x) is a linear function - False

Option E : g(2) < h(2) - True

        g(x) =  -x² + 9

        g(2) = -(2)² + 9 = - 4 + 9 = 5

        h(x) = 4ˣ          

        h(2) = 4² = 16      

Given:

In parallelogram PQRS, [tex]m\angle Q=(20+2x)^\circ,\ m\angle R=6x^\circ[/tex].

To find:

The value of x.

Solution:

In a parallelogram, the consecutive interior angles are supplementary angles.

In parallelogram PQRS,

[tex]m\angle Q+m\angle R=180^\circ[/tex]            (Supplementary angles)

[tex](20+2x)^\circ+(6x)^\circ=180^\circ[/tex]

[tex](20+8x)^\circ=180^\circ[/tex]

[tex]20+8x=180[/tex]

Subtracting 20 from both sides, we get

[tex]8x=180-20[/tex]

[tex]8x=160[/tex]

Divide both sides by 8.

[tex]\dfrac{8x}{8}=\dfrac{160}{8}[/tex]

[tex]x=20[/tex]

Therefore, the correct option is C.

Answer:

c

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

verticle angles are congruent

80 + x = 70

Subtract 80 from both sides

x = -10

my answer is in the image above

Answer:

the correct answer is 4,000 grams

Answer:

(x - 5)² + (y - 5)² = 18

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (5, 5) , then

(x - 5)² + (y - 5)² = r²

r is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 8)

r = [tex]\sqrt{(8-5)^2+(8-5)^2}[/tex]

  = [tex]\sqrt{3^2+3^2}[/tex]

   = [tex]\sqrt{9+9}[/tex]

   = [tex]\sqrt{18}[/tex] ⇒ r² = ([tex]\sqrt{18}[/tex] )² = 18

Then

(x - 5)² + (y - 5)² = 18 ← equation of circle

Answer:

Option (1)

Step-by-step explanation:

From the graph of the piecewise function,

There are two pieces of the function,

1). Segment (1) having x < 0

2). Segment (2) having x ≥ 0

Segment (1),

Segment starts with a hollow circle at x = 0 and passes through two points (0, 1) and (-2, 2)

Slope of the segment = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                     = [tex]\frac{2-1}{-2-0}[/tex]

                                     = [tex]-\frac{1}{2}[/tex]

Equation of the segment passing through (-2, 2) with slope = [tex]-\frac{1}{2}[/tex],

[tex]y-y'=m(x-x')[/tex]

[tex]y-2=-\frac{1}{2}(x+2)[/tex]

[tex]y=-\frac{1}{2}x-1+2[/tex]

[tex]y=-\frac{1}{2}x+1[/tex]

[tex]y=-0.5x+1[/tex] For x < 0

Segment (2),

Segment starts with a solid circle at x = 0 and passes through (0, -2) and (2,2)

Slope of the segment = [tex]\frac{2+2}{2-0}[/tex]

                                    = 2

Equation of the segment passing through (0, -2) and slope = 2,

y - y' = m(x - x')

y + 2 = 2(x - 0)

y = 2x - 2 For x ≥ 0

Therefore, Option (1) will be the correct option.

Answer:

Step-by-step explanation:

If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle So, ADC = 124/2 => ⛰ ADC = 62

Answer:

nx12=p

Step-by-step explanation:

So every pack has 12 pencils. You multiply the packs of pencils that José bought with how much pencils per pack. Since José bought "n" packs of pencils, the equation is nx12. But the answer is also unknown since we don't know how much packs José bought, so the answer is "p", or the total number of pencils José bought.

Answer:

2

Step-by-step explanation:

In an order pair

(x,y)

The first number is the input and the second number is the output

(2,3) 2 is the input and 3 is the output

Answer:

354 $ is correct

Step-by-step explanation:

your v id dead

Answer:

f(x)=5.05 sin((pi/12)x) + 5.15

Step-by-step explanation:

Answer:

7 / 6

Step-by-step explanation:

Given the points:

points (0, 0) and (6, 7)

Point 1 : x1 = 0 ; y1 = 0

Point 2 : x2 = 6 ; y2 = 7

The rise = y2 - y1 = 7 - 0 = 7

The run = x2 - x1 = 6 - 0 = 6

Ratio of Rise to Run = Rise / Run = 7 / 6

Answer:

sorry

Step-by-step explanation:

hindi ko din alam

Answer:

First Option

Step-by-step explanation:

Answer:

q ≥ 5/7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

-6q + 7 ≤ 8q - 3

Step 2: Solve for q

Here we see that any number q greater than or equal to 5/7 would work as a solution to the inequality.

Answer:

q ≥ [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

Given

- 6q + 7 ≤ 8q - 3 ( add 6q to both sides )

7 ≤ 14q - 3 ( add 3 to both sides )

10 ≤ 14q ( divide both sides by 2 )

5 ≤ 7q ( divide both sides by 7 )

[tex]\frac{5}{7}[/tex] ≤ q , then

q ≥ [tex]\frac{5}{7}[/tex]

The question is incomplete. The complete question is :

A survey was done to determine the relationship between gender and subject preference. A total of  56 students were surveyed to determine if they liked math, English, social studies, or science as their  favorite subject. The results were then broken down based on whether the respondent was male or  female.

Which of the following is the closest to the joint relative frequency of being a male who likes social studies ?

Solution :

A two way table used in statistics and mathematics is used to show the frequencies or the relative frequencies for any two categorical variables.  One of the category is represented by the rows while the other categories by a column.

Here, in this table it is given that the total surveyed = 56 students

From the table, we know that number of males who likes social studies = 8

Therefore, the closest to the joint relative frequency for being a male who likes the subject social studies is given by :

[tex]$=\frac{8}{56}$[/tex]

[tex]$=\frac{1}{7}$[/tex]

=0.14

the reciprocal of 9 is 1 divided by 9, i.e. 1/9