Use the functions to answer the question.
f(x) = -4x + 5
g(x) = x² + 2
Find f(-5).
O 50
0 25
0 -40
0 – 15

Answer:

x < -3

Step-by-step explanation:

its correct that the answer.

Step-by-step explanation:

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Answer:

(-3,-6)

Step-by-step explanation:

Answer:

(-3, -6)

Step-by-step explanation:

Answer:

8 - (-2) = 10 there you go!

Step-by-step explanation:

Answer:

When you subtract a negative numbe, it is the same as adding the number. For example, 8-(-2) can be written as 8+2. Two negatives make a positive.

:)

Answer:

D. The axis of symmetry is x = 1.5 and the vertex is (1.5, 0).

Step-by-step explanation:

y=4x^2-12x+9:\quad \mathrm{Parabola\:with\:vertex\:at}\:\left(h,\:k\right)=\left(\frac{3}{2},\:0\right),\:\mathrm{and\:focal\:length}\:|p|=\frac{1}{16}

To find the vertex of this parabola, "complete the square:"  Rewrite y = 4x2 - 12x + 9 in the form y = 4(x - h)^2 + k:

y = 4x^2 - 12x + 9  =>  y = 4(x^2 - 3x) + 9.

Now complete the square of x^2 - 3x:  Take half of -3 and square the result, obtaining (-3/2)^2, or 9/4.  Add 9/4 to x^2 - 3x and then subtract 9/4 from the result:  We get x^2 - 3x + 9/4 - 9/4.  Substitute this result back into

y = 4(x^2 - 3x) + 9:  y = 4(x^2 - 3x + 9/4 - 9/4) + 9

and then rewrite the perfect square x^2 - 3 + 9/4 as the square of a binomial:

                                y = 4(x - 3/2)^2 - 9/4) + 9.  This simplifies to:

                                y = 4(x - 3/2)^2 + 0.

Thus, the vertex is at            (3/2, 0) and the axis of symmetry is x = 3/2.  This agrees with Answer B.

Given : equation y = 4x^2 − 12x + 9

To Find  :

A) The axis of symmetry is x = 0 and the vertex is (0,9).

B)The axis of symmetry is x= 1.5 and the vertex is (1.5, 0).

C)The axis of symmetry is x = 4 and the vertex is (4, -12).

D)The axis of symmetry is x = -1.5 and the vertex is (-1.5, 36).

Solution:

y =  4x² - 12x  + 9

=> y = (2x)² - 2(2x)3  + 3²

=> y = (2x - 3)²

=> y = 4(x - 3/2)²

=> y = 4(x - 1.5)²

Axis of symmetry is x= 1.5  

Vertex  = (1.5 , 0)

The axis of symmetry is x= 1.5 and the vertex is (1.5, 0).

Answer:

B) 5 gallons

Step-by-step explanation:

4 quarts = 1 gallon

multiply each number by 5

20 quarters = 5 gallons

Answer:

5

Step-by-step explanation:

If there are 4 quarts in a gallon and you are given 20 quarts divide 20 by 4 and you get 5

The speed of the plane is the rate of change of distance over time

The speed of the plane should be 453.65 mph southwest

The speed of the wind is given as:

[tex]\mathbf{S_w = 38.7mph}[/tex]

The expected speed of the plane is:

[tex]\mathbf{S_s = 452mph}[/tex]

So, the actual speed is calculated using the following Pythagoras theorem

[tex]\mathbf{S_{sw}^2 = S_w^2 + S_s^2}[/tex]

This gives

[tex]\mathbf{S_{sw}^2 = 38.7^2 + 452^2}[/tex]

[tex]\mathbf{S_{sw}^2 = 205801.69}[/tex]

Take square roots of both sides

[tex]\mathbf{S_{sw} = 453.65}[/tex]

Hence, the speed of the plane should be 453.65 mph southwest

Read more about speed at:

https://brainly.com/question/19261234

Answer:

D: [tex]5x-8y=40[/tex]

Step-by-step explanation:

At a glance: Last one, it's the only one with different signs for x and y coefficient, and the graph is growing.

Some more reasoning: Write all of them in slope-intercept point:

[tex]A: y= -\frac58x +\frac52\\B: y= -\frac85x+4\\C: y= -\frac85x+8\\D:y=-\frac58x-5[/tex]

The only one with a compatible slope and intercept is D

Number crunching: replace the coordinates of either [tex](8;0)[/tex]or[tex](0;-5)[/tex]. As soon as the equality stops holding, that option isn't valid anymore.

Example: A w/ [tex](0;-5)[/tex]: [tex]\frac 52(0) +4(-5) = 10 \rightarrow -20 = 10[/tex] which isn't true, so A is out.

Answer:

10

Step-by-step explanation:

f(x)=f(6) means x=6

Now, as 6>3 we use the formula for x>3

Substituting 6 into 1/2x+7 we get,

1/2(6)+7

=3+7

=10

The value of function at x= 6 is 10.

A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a certain interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a means to express the function.

We have,

f(x) = 3x -1 , x<3

1/2x + 7, x>3

Now, for x = 6 which falls in condition x>3

f(6) = 1/2(6)+ 7

f(6) = 3 + 7

f(6)= 10

Learn more about Piecewise function here:

https://brainly.com/question/22428835

#SPJ7

Answer:

192

Step-by-step explanation:

Given,

a = 8

b = 24

To find : ab = ?

ab

= 8 x 24

= 192

Answer:

192

Step-by-step explanation:

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

Answer:  314 -(112)

-314 -(112)= -314 * -112

Step-by-step explanation:

Answer:

f(x)=3(-13)^x

Step-by-step explanation:

since we know that our x=0 then y=3(-13)^0

=3

put it in mind that during the indices we learnt that any number to the power zero is 1 and any number to the power 1 it is the number itself so we can continue to say

y=3(1)

=3

Step-by-step explanation:

we have one large rectangle and 2 small right-angled triangles to add.

the area of the rectangle is easy : 15×25 = 375

the right-angled triangle on the long side has one side = 5, and the "invisible" side is 25 - 12 - 5 = 8.

these 2 sides are hitting each other in a right angle and can therefore be used as baseline and height of the triangle.

the area of a triangle is baseline×height/2.

so, the area of the this triangle is 8×5/2 = 20.

the right-angled triangle on the right short side has one side = 5, and the "invisible" side is 15 - 10 = 5.

these 2 sides are hitting each other in a right angle and can therefore be used as baseline and height of the triangle.

so, the area of the this triangle is 5×5/2 = 12.5.

so the total area is

375 + 20 + 12.5 = 407.5

Answer:

f(3) = 37

Step-by-step explanation:

If the formula for this arithmetic sequence is f(n)  = 19 + 6n, then the value of f(3) is 19 + 6(3), or f(3) = 37

Answer:

Answer is y = 25/4

Answer:

.072 / 345.00 = 0.0002086956

the tenth place is the first digit to the right of the decimal point so it would round to 0.0

Round to the nearest tenth of the number is 0.

We need to round it to the nearest tenth.

Write the above expression in fractional form.

{0.072}{345} = 0.00028

the Round to the nearest tenth of the number is 0.

HOPE THIS HELP

(3 4/3)²

= (13/3)²

= 169/9

= 18.77

_____

RainbowSalt2222 ☔

Answer:

y=1/2-2

Step-by-step explanation:

Step-by-step explanation:

x = -2

y = -3

= x² - y²

= (-2)² - (-3)²

= 4 - 9

= -5

Answer:C

2K = 24 -24

Step-by-step explanation:

Answer:

 thisBiraanin why h chpaidrysayeo ingfreakt qualse

Step-by-stepkStep-by-step explanation:

Answer:

A)60°

B)140°

Step-by-step explanation:

Hope it can help you lovelots

#LEARN WITH BRAINLY

Answer:

the answer is.... 0.133

Step-by-step explanation:

hope it helps :D

Answer:

The answer is a.

Step-by-step explanation:

The equation formula is y=mx+b. M stands for the slope. B stands for the y-intercept. In the question, it says that your slope is 3/8 and that your y-intercept is -2. Remember, if it says (0, -2), and 0 is your x-coordinate, it means that it is a y-intercept. So, plug in the numbers into the formula and the equation should be: y=3/8x-2

hope this helps :)

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\sf \dfrac{x + 1}{10} - \dfrac{3(x - 1)}{5} = 2[/tex]

[tex]\sf\longmapsto \dfrac{x + 1}{10} - \dfrac{3x - 3}{5} = 2[/tex]

[tex]\sf\longmapsto \dfrac{(x + 1) - 2(3x - 3)}{10} = 2[/tex]

[tex]\sf\longmapsto \dfrac{x + 1 - (6x - 6)}{10} = 2[/tex]

[tex]\sf\longmapsto \dfrac{x + 1 - 6x + 6}{10} = 2[/tex]

[tex]\sf\longmapsto \dfrac{ - 5x + 7}{10} = 2[/tex]

[tex]\sf\longmapsto - 5x + 7 = 20[/tex]

[tex]\sf\longmapsto - 5x = 20 - 7[/tex]

[tex]\sf\longmapsto - 5x = 13[/tex]

[tex]\sf\therefore x = - \dfrac{13}{5} [/tex]

Hence, the value of x will be -13/5 respectively.

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex]\frac{x + 1}{10} - \frac{3(x - 1)}{5} = 2 \\ [/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]\frac { x + 1 } { 10 } - \frac { 3 ( x - 1 ) } { 5 } = 2 \\ \frac { x + 1 } { 10 } - \frac { 3 ( x - 1 ) } { 5 } = \frac{2}{1} [/tex]

Take a look at the denominators. The denominators are 10, 5 & 1. Their LCM is 10. So, multiply the fractions on both the sides of the equation by 10.

[tex]\frac { x + 1 } { 10 } - \frac { 3 ( x - 1 ) } { 5 } = \frac{2}{1} \\ \frac{x + 1}{10} \times \frac{1}{1} - \frac{3x - 3}{5} \times \frac{2}{2} = \frac{2}{1} \times \frac{10}{10} \\ \frac{x + 1}{10} - \frac{6x - 6}{10} = \frac{20}{10} [/tex]

Now cancel the denominators (as they have the same value) & take the numerators.

[tex]x + 1 - (6x - 6) = 20 \\ [/tex]

Now, simplify it.

[tex]x + 1 - (6x - 6) = 20 \\ x + 1 - 6x + 6 = 20 \\ x - 6x + 1 + 6 = 20 \\ - 5x + 7 = 20 \\ - 5x = 13 \\ x = -\frac{13}{5} \\ \boxed{ \boxed{ \bf x = - \frac{13}{5} =\: - 2 \frac{3}{5} = - 2.6}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

Y=m+P

Step-by-step explanation:

oooooooooof me lol

Answer:

[tex](2 + \sqrt{3}) - (1 + \sqrt{3})i[/tex]

Answer:

  (b)  (2+√3) -(1+√3)i

Step-by-step explanation:

Add like terms. Real terms are added; imaginary terms are added.

  (√3 -i) + (2-√3i) = (√3 +2) +(-i -√3i)

  = (√3 +2) -i(1 +√3) . . . . . the common factor of -i can be factored out

  = (2 +√3) -(1 +√3)i

Answer:

Step-by-step explanation:

Given triangle is equilateral since all three angles marked as congruent.

It means each interior angle measures 60°.

The angle (5x + 15)° is exterior angle.

We know exterior angle measure is same as the sum of non-adjacent interior angles:

Answer:

D) 5

Step-by-step explanation:

To find the unit rate or the amount of shoes per hour. Take the amount of shoes sold and divide by how many hours. On Monday he sold (15/3) or 5 shoes per hour and on Tuesday he sold (20/4) or 5 shoes sold per hour again.

Answer:nahhh nope nevernahhh nope never

Step-by-step explanation:nahhh nope never nahhh nope never

Answer:

here is the answer x= 5/3

Step-by-step explanation: