What is the vertex of the quadratic function?
f(x) = (x – 8)(x – 4)
A. (4,8)
B. (-6,4)
C. (6,-4)
D. (-4,8)

Answer:

B.

Step-by-step explanation:

Step 1: Cross-multiply

x² + 2x = 4x²

Step 2: Isolate x's

2x = 3x²

0 = 3x² - 2x

Step 3: Factor

x(3x - 2) = 0

Step 4: Find roots

x = 0, x = 2/3

Step 5: Double check answers.

When you do so, you should see that only x = 0 works. And we have our answer!

Answer:

its c man its c

Step-by-step explanation:

Answer:

Step-by-step explanation:

its B

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The number of small cubes that Edmund used is 8. Let us assume that the volume of each small cube is 1m³. This means that the volume of the cube made is 8m³. Since volume of cube = s³, then s = 3√8 = 2m

Each side of the cube made is 2m

Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. It means that the sides of the cuboid are

Length = 2 × 2 = 4m

Width = 3 × 2 = 6m

Height = 4 × 2 = 8m

Volume = length × width × height

Volume = 4 × 6 × 8 = 192 m³

Number of small cubes used is 192/1 {= 192

The number of cubes that Samuel used more that Edmund is 192 - 8 = 184 small cubes

Answer:

[tex]y-3=5(x+1)[/tex]

Step-by-step explanation:

Point-Slope form is: [tex]y-y_1=m(x-x_1)[/tex]

'm' - Slope

(x1, y1) - Point Coordinate

We are given the point of (-1,3) and the slope of 5.

Replace 'm' with 5, 'x1' with -1, and 'y1' with 3:

[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y-3=5(x+1)}[/tex]

Answer:

I) |xz| ≈ 28.6 km

II) |yz| ≈ 34.8 km

Step-by-step explanation:

Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)

|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°

Using Trigonometric ratio - SOHCAHTOA

I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20

|xz| = 20 * Tan 55 = 20 * 1.428

|xz| = 28.56 km

|xz| ≈ 28.6 km

II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|

|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°

|yz| = 20 ÷ 0.574 = 34.84 km

|yz| ≈ 34.8 km

Answer:

0.2

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

Mark the first decimal place

Examine the second decimal place and if it is lower than five we round down and vice versa

Answer:

Use the Vertical Angles Theorem

Step-by-step explanation:

The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.

Answer:

See below.

Step-by-step explanation:

Answer: The Triangles Are Not Smimilar

Step-by-step explanation: All the side lenghths are wack and there are no angles to tell if it is congrent by angles

Answer: I think its SAS similarity theorem

Step-by-step explanation:

Okay so we know 2 sides of each triangle and an angle due to the vertical angle theorem.

So the side lengths are different but with some proportioning

12/20 = 6/10

so yes they are similar

and the angle in between the two sides lengths are congruent due to the vertical angle theorem

so 2 sides with an angle sandwiched btw is the SAS theorem

I hope this helped, let me know if you need some clarifying.

Answer:

y=5x+1 (this may be correct but I can't guarantee because you haven't provided graph)

Step-by-step explanation:

step 1

Find the slope of the given line

we have

(0,1) and (5,0)

m=(0-1)/(5-0)

m=-1/5

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

m1*m2=-1

m1=-1/5

substitute

(-1/5)*m2=-1

m2=5

step 3

Find the equation of the line with slope m=5 and y-intercept (0,1)

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=5

b=1

substitute

y=5x+1

please mark me brainliest!

Answer:

A

Step-by-step explanation:

week 1: $56.92

week 2:-$16.54

-16.54-56.92=-73.46

Answer:

C.

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x1+x2}{2}, \frac{y1+y2}{2})[/tex]

We are given midpoint and an endpoint. Simply set up the equations:

11 = (-4 + x)/2 for x

-5 = (-8 + y)/2 for y

We solve:

22 = -4 + x

x = 26

-10 = -8 + y

y = -2

Answer:

(26,-2)

Step-by-step explanation: I took the test

Answer:

sup!

the answer is

a point on (0,-1) and (1,3)

Step-by-step explanation:

hope this helps

Answer:

11.0 hours

Step-by-step explanation:

The times, recorded for a particular order are shown below:

Move time                     2.7 hours

Wait time                       26.4 hours

Queue time                   6.4 hours

Process time                  1.8 hours

Inspection time              0.1 hours

Throughput time is also known as cycle time/ manufacturing throughput time, it is the time needed to produce an item. It is the time taken for the item/product to be converted from a raw material into a product ready for use. The throughput time is the sum of the move time, queue time, process time and inspection time.

Throughput time = move time + queue time + process time + inspection time.

Throughput time = 2.7 hrs + 6.4 hrs + 1.8 hrs + 0.1 hrs = 11 hrs

Answer:

Answer to the first part is 2.5 hours.

Step-by-step explanation:

T = 150/60

= 2.5 hours

Best Regards!

Answer:

157

Step-by-step explanation:

4(x2+3)-2y

4((-6)2+3)-2(-1/2)

4(36+3)-(-1)

4(39)+1

156+1

157

Answer:

157

Step-by-step explanation:

Answer:

2.5 cm

Step-by-step explanation:

The volume of the prism is the area of the cross-section times the length.

The area of the cross-section is the area of a triangle.

4h×1/2×7 = 35

Multiply and solve for h.

14h = 35

Divide both sides with 14.

h = 35/14

h = 5/2

h = 2.5

2.5cm

and here welcome friend card

Answer:

1/3

Step-by-step explanation:

We are given to find the slope of the line shown on the graph.

We note that

the line on the graph passes through the points (3, -4) and (6, -3).

The slope of a straight line passing through the points (a, b) and (c, d) is given by

m=\dfrac{d-b}{c-a}.m=

c−a

d−b

.

Therefore, the slope of the given line is

\begin{lgathered}m=\dfrac{-3-(-4)}{6-3}\\\\\\\Rightarrow m=\dfrac{-3+4}{3}\\\\\\\Rightarrow m=\dfrac{1}{3}.\end{lgathered}

m=

6−3

−3−(−4)

⇒m=

3

−3+4

⇒m=

3

1

.

Thus, the required slope of the line is \dfrac{1}{3}.

3

1

.

Option (B) is CORRECT.

Answer:

5/6

Step-by-step explanation:

To distribute the water equally, you divide the 5 gallons of H2O by 6 people. You will get the fraction 5/6 as your answer.

Answer:  (b) -5x + 5

Step-by-step explanation:

f(x) = 5x        g(x) = -x + 1

f(g(x)): g(x) = -x + 1          f(-x + 1) = 5(-x + 1)

                                                   = -5x + 5

Assuming the limit is taken as n approaches infinity, we have

[tex]\displaystyle\lim_{n\to\infty}\frac{6n^2-2n}{n^2+8}=\lim_{n\to\infty}\frac{6-\frac2n}{1+\frac8{n^2}}=\boxed6[/tex]

because the rational terms in the numerator and denominator will vanish.

Answer:

First to find AB we use cosine

cos ∅ = Adjacent / hypotenuse

AB is the adjacent

BC is the hypotenuse

cos ∅ = AB/AC

cos 70 = AB / 8

AB = 8 cos 70°

AB = 2.736

AB = 2.7cm to one decimal place

Hope this helps

Answer:

Step-by-step explanation:

percentage: 1%

decimal:0.01

fraction :1/100

Answer:

8 is -5

9 is (-2,3)

10 is -10

Answer:

Corresponding Angles Theorem

x = -5

Step-by-step explanation:

Since they are corresponding angles, they are equal to each other.

x + 105 = 100

x = -5

Answer:

See Reasoning Below

Step-by-step explanation:

To prove that AB = BL, or in other words AB ≅ BL, let us consider the triangles CED and BEL. If we were to prove they were congruent, then by CPCTC ( corresponding parts of congruent triangle are congruent ) DC ≅ BL. As AB ≅  DC by " Properties of Parallelogram " it would be that through transitivity, AB ≅ BL / AB = BL;

[tex]m<CED = m<BEL,\\BE = CE,\\m< DCE = LBE\\\\\\CED = BEL,\\DC = BL,\\AB = BL - Proved[/tex]

Now for " part 2 " we can consider that AB = DC, from part 1. If AB = BL, then AL = 2 ( AB ) by the Partition Postulate. AB = DC, so we can also say that AL = 2 ( DC ) - Proved

See attachment in statement reasoning form for part 1;

Answer:

Jeff found the ratio of boys to students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.....answer is the first one

Step-by-step explanation:

Sorry ignore this

Answer:

Boys : Girls = 5 : 7

Jeff should find the number of girls at first.

Step-by-step explanation:

Boys - 10

Girls - 24 - 10 = 14

Boys : Girls = 10 : 14

Boys : Girls = 5 : 7

Jeff did not find the number of girls, he took the number of all students instead.

Answer:

(4, 3)

Step-by-step explanation:

Your vertex is at (h, k). h is 4 and k is 3 in the equation. Alternatively, you could graph this and trace the graph to find the vertex.

Answer:

1/16

Step-by-step explanation:

2^-4

We know that a^ -b = 1/ a^b

2^-4 = 1/2^4

2^4 =16

so 1/2^4 = 1/16

Answer:

2 ^-4 = 1/16

Step-by-step explanation:

2^-4 = 1/2^4

2^4 =16

so 1/2^4 = 1/16

Answer:

x = 27 Degrees

Step-by-step explanation:

So let's just explain this without including all the theorems

ACB = JCG  e vertical angles

ABC = 90 Degrees e right angle

90 + 63 = 153 => keep 153

e angles of a triangle = 180 degrees total

180 - 153 = 27

27 degrees

hope this helps!

Answer:

It is actually 63 degrees

Step-by-step explanation:

Becausethe given degrees is the same as x

The Greatest Common Factor of 32 and 48 is 16.

The longest necklace she can make is of 16 inches length.