Factor the following quadratic:
[tex]3x^2+7x-6[/tex]

Answer:

6.71

Step-by-step explanation:

It would be 37.26*18/100.

so, around 6.71

part b would be 37.26+6.71=$43.97

Answer:

D (-1,-3)

Step-by-step explanation:

If h(x)=-3x-6, plug in for x

-3 =-3(-1)-6

-3=3-6

-3=-3

so two negatives cancel out and get you the positive three minus six, resulting in negative 3, which is also the h(x) value.

Answer:

D

Step-by-step explanation:

Plug it in

Y=3x-6

-3=-3(-1)-6

-3=-3

Answer:

point slope form: y-1=0(x-2) or Slope-Intercept form: y=x-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the diagonals in a rhombus are 8 and 6 then the perimeter is

a) 16

b) 18

c) 20

d) 22

the regular rhombus is formed by 4 right triangles, 1/2 of the diagonal is the cathetus.

8 : 2 = 4

6 : 2 = 3

find with Pythagoras the side of the rhombus

s = √(4² + 3²)

s = √(16 + 9)

s = √25

s = 5

now we find the perimeter by adding the 4 sides

5 + 5 + 5 + 5 = 20

Answer:

irrational

Step-by-step explanation:

Answer:

24weeks

Step-by-step explanation:

So if she spends 5$ three times a week she spends 15$ a week

She babysits once a week for 40$

That means that she saves 25$ from babystitting each week

As she already has saved 200$, she only lacks 600$ for the purchase

600$ / (25$/week) = 24 weeks

If she stops buying coffee it will instead only take her 15 weeks to buy a new laptop

Answer:

1200times 3 =4800 thanks for asking

Answer: 21

3(4) + 2(5) - 1 = 21

Answer:

186.3 quarts of punch

Step-by-step explanation:

175+11.3=186.3

It asks how much did she make in total, so you would need to add the 2 together to get the total. Hope this helps!!

Answer:

344

Step-by-step explanation:

First we are going to find the area of the top and bottom

8x8=64. Since the top and bottom are the same, we can do 64x2=128.

Now we are going to find the area of the left and right sides.

8x7=54. Since the right and left are the same, we can do 54x2=108.

Now we are going to find the area of the front side and the back side.

8x7=54. Since the front and back are the same, we can do 54x2=108.

Now we add our answers up. 128+108+108=344

Answer:

41200 in scientific notation = 4,1 . 10⁴

Answer:

The exponent is 4

[tex]4.12[/tex] × [tex]10^{4}[/tex]

Step-by-step explanation:

Hope this helps

Answer:

9a+b

Step-by-step explanation:

Step-by-step explanation:

simply use trigonometric formula

sin (x)= perpendicular/ hypotenuse

The volume of the hexagonal prism is the amount of space in it.

From the complete question, we have:

Length (l) = 8

Height (h) = 5

The surface area of the hexagonal prism is:

[tex]A=6lh+3l^2\sqrt 3[/tex]

So, we have:

[tex]A=6*8*5+3*5^2\sqrt 3[/tex]

Evaluate

[tex]A = 369.9[/tex]

Hence, the surface area is 369.9 square feet

The volume of the hexagonal prism is:

[tex]V = \frac{3\sqrt 3}{2} * l^2h[/tex]

So, we have:

[tex]V = \frac{3\sqrt 3}{2} * 8^2 * 5[/tex]

Evaluate

[tex]V = 831.4[/tex]

Hence, the volume is 831.4 cubic feet

Read more about surface area and volume at:

https://brainly.com/question/13175744

Answer:

20.19°

Step-by-step explanation:

Find the diagram to the question attached. We are to look for <CAB

Applying sine rule on ΔABC:

[tex]\frac{4.5}{sin15^0} = \frac{6}{sin<CAB}[/tex]

cross multiply

[tex]4.5 * sin<CAB =6 sin15^0\\\\sin<CAB = \frac{6sin15^0}{4.5}\\ \\sin<CAB = \frac{6*0.2588}{4.5}\\ \\sin<CAB = \frac{1.5529}{4.5}\\\\sin<CAB = 0.3451\\\\<CAB = sin^{-1}0.3451\\[/tex]

[tex]<CAB = 20.19^0\\[/tex]

Hence the angle <CAB is 20.19°

The angle ∠CAB is 20.19° and the distance (d) Ollie is from the entrance to his house when he first activates the sensor is 5.77 m.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Ollie has installed security lights on the side of his house that is activated by a sensor.

The sensor is located at point C directly above point D.

The area covered by the sensor is shown by the shaded region enclosed by triangle ABC.

The distance from A to B is 4.5 m and the distance from B to C is 6 m.

The angle ACB is 15°.

The ∠CAB is ∠A.

We know that the sine rule

[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B} = \dfrac{c}{\sin C}[/tex]

We have

[tex]\dfrac{AB}{\sin C} \ \ = \dfrac{BC}{\sin A} = \dfrac{AC}{\sin B}\\\\\\\dfrac{4.5}{\sin 15^o} = \dfrac{6}{\sin A} = \dfrac{b}{\sin B}[/tex]

From the first two, we have

[tex]\dfrac{4.5}{\sin 15^o} = \dfrac{6}{\sin A} \\\\\sin A = \dfrac{6}{4.5} \times \sin 15^o\\\\A \ \ \ \ = 20.19^o[/tex]

We know that the sum of the angle is 180 degrees. Then we have

    ∠A + ∠B + ∠C = 180°

20.19° + ∠B + 15° = 180°

                      ∠B = 144.81°

Then the value of b will be

[tex]\dfrac{4.5}{\sin 15^o} = \dfrac{b}{\sin 144.81^o}\\\\\\b \ \ \ = 10.02[/tex]

Then the distance (d) Ollie is from the entrance to his house when he first activates the sensor will be

d = b × sin 144.81°

d = 10.02 × sin 144.81°

d = 5.77 m

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

14

Step-by-step explanation:

let the number be y

if y is tripled we get 3y

3y = 28 + y

3y - y = 28

2y = 28

y = 14

Answer:

14

Step-by-step explanation:

Let the number be x.

Base on the given

↓ Equation ↓

3x=x+28

Solve:

3 x - x = 28

2 x = 28

x = 28/2

x = 14

Thus, The number is 14.

[RevyBreeze]

Answer: 70 animals

Step-by-step explanation:

Since Marshall predicted that if 100 cats entered the shelter, 80 of the cats would have already been vaccinated . This means that 80/100 = 4/5 of the animals that enter the shelter are vaccinated.

Let the animals that enter in July be y. This will be:

4/5 × y = 56

0.8y = 56

y = 56/0.8

y = 70

70 animals entered in July

Answer:

44 tranquilizers

Step-by-step explanation:

The reciprocal of 7/4 is 4/7 so if you multiply 77 by 4/7 you will get 44.

Answer:

$3,245

Step-by-step explanation:

Assuming that the $415 is paid yearly, Eddie has to pay a total of $3,245.

2,000 + (415 x 3)

2,000 + 1,245

2,000 + 1,245 = 3,245

Step-by-step explanation:

I wrote the answer on the paper

Because {{{no}}} sides are marked as {{{congruent}}} in this figure, the classification {{{by}}}{{{ sides}}} is {{{scalene}}}.

Answer:

153.098

153.408

When we look at these numbers, we want to see which one has the greatest digit.

Shown below, I'm going to compare both numbers and start from the hundreds place and gradually go further into the other digits until we've seen which number is the greatest.

153.098:

1

153.408:

1

153.098:

15

153.408:

15

153.098:

153

153.408

153

153.098:

153.0

153.408

153.4

Now, we can automatically know that 153.408 is the greatest because the 4 in the tenths place is bigger than 0 in the tenths place in the other number.

So 153.408 > 153.098, D is your answer.

Answer:

Step-by-step explanation:

Square with side (s) = 3

P = 4s        

s = 3

P = 4*3

P = 12

Square with side (s) = 6

P = 4s

s = 6

P = 4 * 6

P = 24

Answer

It is asking for the ratio of P(with side = 3)/ to P(with side = 6)

So the perimeter ratio is 1/2

The side ratio is 1/2

They are the same.

The measure of angle MBT as shown in the diagram is 28 degrees.

An angle is formed from the intersection of two or more lines. Types of angles are obtuse, acute and right angled.

From the diagram:

∠MBN = ∠MBT

17x - 6 = 5x + 18

x = 2

∠MBT = 5(2) + 18 = 28 degrees

The measure of angle MBT as shown in the diagram is 28 degrees.

Find out more on angle at: https://brainly.com/question/25770607

Answer:

2 is not the same as 4.

[tex]2^2[/tex] is the same as 4, since 2*2 = 4.

2 is not the same as 4 but 2x2 is the same as 4

Answer:

not a right triangle in maths

Step-by-step explanation:

FALSE, the Pythagorean Theorem is not satisfied

but true in real life, i mean the shape

Answer:

[tex]=5r^2-17r+5[/tex]

Step-by-step explanation:

[tex]\mathrm{Apply\:rule}:\quad \left(a\right)=a[/tex]

[tex]\left(8r^2-12r+4\right)=8r^2-12r+4[/tex]

[tex]=8r^2-12r+4-\left(3r^2+5r-1\right)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]

[tex]-\left(3r^2+5r-1\right)=-3r^2-5r+1[/tex]

[tex]=8r^2-12r+4-3r^2-5r+1[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=8r^2-3r^2-12r-5r+4+1[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:4+1=5[/tex]

[tex]=8r^2-3r^2-12r-5r+5[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:8r^2-3r^2=5r^2[/tex]

[tex]=5r^2-12r-5r+5[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-12r-5r=-17r[/tex]

[tex]=5r^2-17r+5[/tex]

Answer:

Look at the relationship.

2.7 is 30 times larger than 0.09 (2.7 / 0.09 = 30)

So the ratio is 0.09:2.7 = 1 :30

Answer:

8 Hours 15 Minutes

Step-by-step explanation:

12:00 p.m - 3:45 a.m = 8 Hours 15 Minutes