What is the solution to the equation t + 14 = 24?

Answer:

the y-intercept in “y = -3x + 8 (slope-intercept form of the given line),” is 8.

Step-by-step explanation:

to find a parallel line to a given line, you must know how to write an equation of a line. You must also know how to put the equation of a line in slope-intercept form. Additionally, you must know how to identify the slope and the Y-intercept in the equation of a line. It is important to remember that parallel lines have equal slopes. Learn how to be able to find a parallel line.

Look at the equation of the line. Let’s say “3x + y = 8” is the equation of the given line. Put the equation of the given line in slope-intercept form: y = mx + b. Using “3x + y = 8” as the equation of the given line, put the equation in slope-intercept form by solving for "y" (subtracting -3x from both sides). You will get “y = -3x + 8.”

Identify the slope. The slope is the "m" in “y = mx + b.” Therefore, the slope in “y = -3x + 8 (slope-intercept form of the given line),” is -3. Identify the y-intercept. The y-intercept is the b in “y = mx + b.” Therefore, the y-intercept in “y = -3x + 8 (slope-intercept form of the given line),” is 8.

   HOPE THIS HELPS HAVE A GREAT DAY!!

Answer:

5

Step-by-step explanation:

8*5=40 so you multiply the ingredients by 5

Answer:

Step-by-step explanation:

Let the required miles be x

Rental for Company A

Rental for Company B

Rental costs are equal when:

Answer:

(x) = 1/2x-3/2

Step-by-step explanation:

The inverse is the opposite of the equation given in this case is 2x+3 and the inverse is when you switch the x and the y and you solve for y.

Answer:

=

Step-by-step explanation:

because 13.80 equal 13.8 . Because how we know we need to delite 0 snd it will be 13.8

Answer:

13.8 = 13.80

Step-by-step explanation:

13.8 and 13.80 are the same values.

Hope it helped!

Answer:  60 km/hr and 65 km/hr

Step-by-step explanation:

        o-----------------------------------←500→-------------------------------------o

        Bus 1: rate = r + 5                                              Bus 2: rate = r            

                  time = 4                                                               time = 4

                  distance = d                                                        distance = 500 - d

                              Use distance = rate x time

      Bus 1: d = 4(r + 5)                                               Bus 2: 500 - d = 4(r)

                d = 4r + 20                                                    -d = 4r - 500

                                                                                      d = 500 - 4r

Solve the System of Equations using the Substitution method:

                                    4r + 20 = 500 - 4r

                                    8r + 20 = 500

                                   8r          = 480

                                              r = 60

    Bus 1: rate = r + 5                                              Bus 2: rate = r

                     = 60 + 5                                                              = 60

                     = 65

Distance between both buses = 500km

Time taken by them to meet each other = 4hr

Let speed of bus A be v km/hr.

ATQ, speed of bus B is 5km/ hr more than that of bus A.

∴ Speed of bus B will be (v + 5) km/hr.

★ Diagram :

[tex]\boxed{\setlength{\unitlength}{1cm}\begin{picture}(6,2)\thicklines\put(1,1){\circle*{0.2}}\put(5,1){\circle*{0.2}}\put(1,1){\vector(1,0){1}}\put(5,1){\vector(-1,0){1.5}}\put(0.2,0.9){A}\put(5.5,0.9){B}\put(1.4,1.2){v}\put(3.85,1.2){v+5}\put(2.35,0.4){\sf{500\;km}}\put(2.2,0.5){\vector(-1,0){1.3}}\put(3.55,0.5){\vector(1,0){1.5}}\end{picture}}[/tex]

★ As we know that,

Assuming both buses as point masses,

Relative speed of object A wrt object B when the object B moves in the opposite direction of A is given by

Relative speed of bus A wrt B :

[tex]:\implies\:\sf{v_{AB}=v_A+v_B}[/tex]

[tex]:\implies\sf\:v_{AB}=v+(v+5)[/tex]

[tex]:\implies\bf\:v_{AB}=2v+5[/tex]

By substituting values in (I), we get

[tex]\leadsto\sf\:v_{AB}=\dfrac{d}{t}[/tex]

[tex]\leadsto\sf\:2v+5=\dfrac{500}{4}[/tex]

[tex]\leadsto\sf\:2v+5=125[/tex]

[tex]\leadsto\sf\:2v=120[/tex]

[tex]\leadsto\sf\:v=60\:kmph[/tex]

Speed of bus B = (v + 5)

Answer:

Let's see what to do buddy..

Step-by-step explanation:

_________________________________

STEP (1)

We know that the quadratic functions form are like this :

[tex]y = a \: {x}^{2} + b \: x + c [/tex]

The quadratic function opens upward so ;

[tex]a > 0[/tex]

The axis of parabolic symmetry passes through the vertex of the parabolic.

So we know that x vertex is equal to -2.

The vertex's x is finding from this equation:

[tex]x = - \frac{b}{2a} \\ [/tex]

So we have :

[tex] - 2 = - \frac{b}{2a} \\ [/tex]

Multiply the sides of the equation by 2a :

[tex]b = 4a[/tex]

_________________________________

STEP (2)

A quota passes through points (-3,2) and (0,11) , so points (-3,2) and (0,11) must be true in the quota equation.

[tex]y = f(x) = a{x}^{2} + bx + c \\ \\b = 4a \\ \\ y = f(x) = a {x}^{2} + 4ax + c [/tex]

[tex]f( - 3) = 2 \\ \\ a ({ - 3})^{2} + 4a( - 3) + c = 2 \\ \\ 9a - 12a + c = 2 \\ \\ - 3a + c = 2 \\ \\ \\ \\ f(0) = 11 \\ \\ a ({0})^{2} + 4a(0) + c = 11 \\ \\ c = 11 [/tex]

[tex] - 3a + c = 2 \\ \\ c = 11 \\ \\ - 3a + 11 = 2 \\ 11 \: goes \: to \: the \: other \: side \: \\ \\ - 3a = 2 - 11 \\ - 3a = - 9 \\ divided \: the \: sides \: of \: the \: equation \: by \: - 3 \\ a = 3[/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

$0.95

Step-by-step explanation:

6.65 ÷ 7 = 0.95

0.95

Answer:

I am pretty sure it is 1 because you can divide when it is in inproper for

hint it is 7/3

Step-by-step explanation:

Answer:

(i) The equivalent coordinates in rectangular form are [tex](x, y) = (-3.277,-2.294)[/tex].

(ii) The equivalent coordinates in rectangular form are [tex](x, y) = (0.866, 0.5)[/tex].

Step-by-step explanation:

In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:

[tex](x, y) = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex]

Where:

[tex]r[/tex] - Norm of vector, dimensionless.

[tex]\theta[/tex] - Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.

(i) ([tex]r = 4[/tex], [tex]\theta = 215^{\circ}[/tex])

[tex](x. y) = (4\cdot \cos 215^{\circ}, 4\cdot \sin 215^{\circ})[/tex]

[tex](x, y) = (-3.277,-2.294)[/tex]

The equivalent coordinates in rectangular form are [tex](x, y) = (-3.277,-2.294)[/tex].

(ii) ([tex]r = 1[/tex], [tex]\theta = 30^{\circ}[/tex])

[tex](x. y) = (1\cdot \cos 30^{\circ}, 1\cdot \sin 30^{\circ})[/tex]

[tex](x, y) = (0.866, 0.5)[/tex]

The equivalent coordinates in rectangular form are [tex](x, y) = (0.866, 0.5)[/tex].

Answer:

Cant speak spanish

Step-by-step explanation:

Answer:

The answer is 0.0000034

Step-by-step explanation:

Answer:

y = 22.5 - 0.2t

Step-by-step explanation:

Given;

total number of candle, n = 22.5 ounce

Rate of candle burn, R = 1 ounce per 5 hours  [tex]= \frac{1 \ ounce}{5 \ hours} = 0.2 \ \frac{ounce}{hour}[/tex]

The amount of candle left = total initial value - amount burnt

let the amount let = y

y = 22.5 - 0.2t

where;

t is the time in which the candle is burnt

Thus, the equation for the amount of candle left is given by;

y = 22.5 - 0.2t

Answer:

2

Step-by-step explanation:

im not 100 percent but i believe it is 2

Answer:

<B,<C,<A

Step-by-step explanations:

Answer:

it would be 750/500

Step-by-step explanation:

150% of 500 is 750

Answer:

a = -5

Step-by-step explanation:

-3a + 7 = 22

Subtract 7 from both sides.

-3a = 15

Divide both sides by -3.

a = -5

Answer:

- 5

Step-by-step explanation:

Step 1:

- 3a + 7 = 22     Equation

Step 2:

- 3a = 15      Subtract 7 on both sides

Step 3:

a = 15 ÷ - 3      Divide

Answer:

a = - 5

Hope This Helps :)

Answer:

Step-by-step explanation:

X=5

Answer: (n+3)^2

Step-by-step explanation:

This is the answer lol

Answer:

C

Step-by-step explanation:

Answer:

29°

Step-by-step explanation:

[tex]In\: \triangle CDE\\\\

m\angle C + m\angle D + m\angle E = 180\degree \\\\

48\degree + 74\degree + m\angle E = 180\degree \\\\

122\degree + m\angle E = 180\degree \\\\

m\angle E = 180\degree- 122\degree \\\\

\huge \red {m\angle E = 58\degree} \\\\

\because \triangle ABC \cong \triangle DEC... (given) \\\\

\therefore \angle B \cong \angle E.. (CACT) \\\\

\therefore m\angle B = m\angle E\\\\

\therefore 2x = 58\degree \\\\

\therefore x =\frac{58\degree}{2}\\\\

\huge \orange {\boxed {\therefore x = 29\degree}}

[/tex]

Answer:

[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]

Step-by-step explanation:

First you need to solve the expression in order to get the expression in Slop-Intercept Form:

[tex]y = mx + b[/tex]

-The following equation:

[tex]-6y + 4x = 5[/tex]

Solve:

[tex]-6y + 4x = 5[/tex]

[tex]-6y + 4x - 4x = 5 - 4x[/tex]

[tex]-6y = 5 - 4x[/tex]

[tex]\frac{-6y}{-6} = \frac{5 - 4x}{-6}[/tex]

[tex]y = \frac{5 - 4x}{-6}[/tex]

[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]

Therefore, the expression in Slope-Intercept Form is [tex]y = \frac{2}{3}x - \frac{5}{6}[/tex].

If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1

So the constant c is -2 and that means the value of f(-4) is

f(-4)=-2(-4)+3=8+3=11

Thus, the value of f(-4) is 11.

About why does "c" have to be -2, here's the proof.

 Given y = f(x), therefore.

y=cx+3

Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3

1 - 3 = c and therefore, -2 = c #

So this is the proof that c = -2

Answer:

y = -3/2x + 3

Step-by-step explanation:

If two lines are parallel to each other the slopes are the same.

So line w's  slope would be the same as line g's -3/2

Now all we have to do is pug in the points to find the y-intercept.

-3 = -3/2(4) + b (b represents the y-intercepts)

-3 = -6 + b (add 6 on both sides)

3 = b

y = -3/2x + 3 is the equation for w.

Step-by-step explanation:

(a) If M is a function of G (M is the y-axis and G is the x-axis), then the linear function is approximately:

M = 20G

(b) If G is a function of M (G is the y-axis and M is the x-axis), then the linear function is approximately:

G = M / 20

(c) The two functions are inverse of each other.  The first function tells us how many miles she can drive with a certain number of gallons.  The second function tells us how many gallons she needs to drive a certain number of miles.

(d) There are multiple things that affect fuel mileage.  These include:

Speed - idling at a red light or driving at high speeds will lower your mileage.

Weather - high winds will lower your mileage.

Weight - adding weight (even the weight of the gas itself) will lower your mileage.

Tires - low pressure in the tires will lower your mileage.

The given table is an illustration of a linear scatter plot, where:

(a) M as a function of G

From the table, we have the following points:

[tex](G_1,M_1) = (1,19)[/tex]

[tex](G_2,M_2) = (11,218)[/tex]

Calculate the slope (m)

[tex]m = \frac{M_2 - M_1}{G_2 - G_1}[/tex]

[tex]m = \frac{218-19}{11-1}[/tex]

[tex]m = \frac{199}{10}[/tex]

[tex]m = 19.9[/tex]

The equation is then calculated using the following linear equation formula:

[tex]M = m(G - G_1) + M_1[/tex]

[tex]M = 19.9(G - 1) + 19[/tex]

[tex]M = 19.9G - 19.9 + 19[/tex]

[tex]M = 19.9G -0.9[/tex]

(b) G as a function of M

From the table, we have the following points:

[tex](M_1,G_1) = (19,1)[/tex]

[tex](M_2,G_2) = (218,11)[/tex]

Calculate the slope (m)

[tex]m = \frac{G_2 - G_1}{M_2 - M_1}[/tex]

[tex]m = \frac{11-1}{218-19}[/tex]

[tex]m = \frac{10}{199}[/tex]

The equation is then calculated as follows:

[tex]G = m(M - M_1) + G_1[/tex]

[tex]G = \frac{1}{19.9}(M - 19) + 1[/tex]

[tex]G = \frac{1}{19.9}M - \frac{19}{19.9} + 1[/tex]

[tex]G = \frac{1}{19.9}M - \frac{19-19.9}{19.9}[/tex]

[tex]G = \frac{1}{19.9}M - \frac{-0.9}{19.9}[/tex]

[tex]G = \frac{1}{19.9}M + \frac{0.9}{19.9}[/tex]

[tex]G = \frac{10}{199}M + \frac{9}{199}[/tex]

(c) How (a) and (b) compares

Functions (a) and (b) are both inverse functions of one another;

Because they both represent inverse functions, both are useful models

(d) Reasons points do not fit in the equation

Some reasons why the points do not fit are:

When any of these happens, the mileage will be affected because she won't be able to capture the accurate data by the time she continues her trip.

Read more about linear scatter plots at:

https://brainly.com/question/2764328

Answer:

Construction B

Step-by-step explanation:

A' is the reflection of point A across line BC

Line BC is the mirror, the distance from point A to line BC and from BC to point A' is same and is the shortest distance.

This is achieved by constructing perpendicular line from the point A to BC and extending same line by same distance from BC.