Hello people ~
factorise : 3x² + 10x + 8​

Answer: 12

Step-by-step explanation:  2 times of 8 is 16, but it says 4 less, so you subtract 4 and that equals 12.

5.5

Step-by-step explanation:

radius = diameter÷2

diameter = 11

so Length of Radius will be 11÷2

which will be 5.5

Answer:

y = -2x - 5

Step-by-step explanation:

2y = x - 3

y = 1/2x - 3/2

gradient = 1/2

perpendicular gradient = negative reciprocal = -2

y = -2x + c

(-3) = -2(-1) + c

-3 = 2 + c

-5 = c

Answer:

y = -x/2 - 7/2

Step-by-step explanation:

Equation of the line (current) in y = mx + c

The slope of a perpendicular line has to be -ve to the current line.

⇒ m' = -1/2

To find the y-intercept, take the x-coordinate to be 0 and substitute in the equation :

y - y₁ = m (x - x₁)

y + 3 = -1/2 (0 + 1) [Also using the point (-1, -3) to make sure line crosses it]

y + 3 = -1/2

y = -7/2

Therefore, the new equation is :

The expression that shows the cost to rent a car for 1 week and drive 200 miles is (15 × 7) + (0.25 × 200)

The problem can be modelled to a linear equation.

Linear equation can be represented in slope intercept form as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

y = total cost of the rental

x = mile driven

Hence,

y = 0.25x + 15

Therefore, the expression that shows the cost to rent a car for 1 week and drive 200 miles is as follows:

learn more on linear equation here: https://brainly.com/question/1550434

Answer:

D.  296 square inches

Step-by-step explanation:

The surface area of a prism is the total area of all its faces.

A triangular prism has three rectangular faces and two triangular faces.

As all 3 sides of the triangle face of this prism are equal, each of the 3 rectangular faces are also equal in area.

Formulae

From inspection of the diagram:

⇒ Area of a triangle = 1/2 x 8 x 7 = 28 in²

⇒ Area of a rectangle = 8 x 10 = 80 in²

Total surface area

Total surface area = 3 rectangle areas + 2 triangle areas

                              = (3 x 80) + (2 x 28)

                              = 296 in²

Answer:

296

Step-by-step explanation:

have a great day

Answer:

147/3=49

49 groups

Step-by-step explanation:

Step-by-step explanation:

Use the graph to dtermine the answer for each part of question

a)

b)

c)

d)

Answer:

a.   5 ft

b.   No - see below

c.   [0, ∞)

d.   [5, 55]

Step-by-step explanation:

From inspection of the graph:

Part a

When H(0), t = 0  ⇒  y-intercept.

Therefore, from inspection of the graph, H(0) = 5 ft

Part b

H(t) = 0 does not have a solution as the curve never touches the y-axis (when y = 0).

Part c

Domain: set of all possible input values (x-values)

The domain is time (t) (x-axis), therefore the domain is [0, ∞)

Part d

Range: set of all possible output values (y-values)

From inspection of the graph, the lowest value of H(t) is 5 and the highest value of H(t) is 55.  Therefore, the range is [5, 55]

Answer:

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

24/5

Decimal Form:

4.8

Mixed Number Form:

4 4/5

Answer:

Step-by-step explanation:

There is no picture but I can give you an explanation of how to do it. You would take each point (vertice) of the triangle and move it on the x-axis 3 and on the y-axis -2. So for example, a point-like (5,4) would become (8,2) You would then repeat this for the remaining vertices.

Step-by-step explanation:

1)

[tex] \sin(theta) = \frac{opposite \: side}{hypotenuse} [/tex]

[tex] \sin(30) = \frac{x}{10} = \frac{1}{2} [/tex]

[tex] \frac{x }{1} = \frac{10}{2} [/tex]

[tex]x = 5[/tex]

In right Angles traingle

By using Pythagoras theorm

we get

x²+y²=10²

25+y²=100

y²=75

y=5√3

x=5,y=5√3

2)

Area of equilateral traingle =

[tex] \frac{ \sqrt{3} }{4} {a}^{2} [/tex]

required area

[tex] \frac{ \sqrt{3} }{4} \times {6}^{2} [/tex]

[tex] \frac{36 \sqrt{3} }{4} [/tex]

[tex]9 \sqrt{3} [/tex]

Answer:

=

Step-by-step explanation:

quadratic values always set to 0 due to the x-intercept which you find from the equation

Answer:

As the question states, predict how many times. I don't get the "realistic" prediction part, but however,

he caught it 9/10 times. I can predict he will catch it 29.7 times, rounded to 30 times.

Answer:

8 meters.

Step-by-step explanation:

Let the 2 radii be x and 2x, then
π x^2 + π (2x)^2 = 80π

π x^2 + π 4x^2= 80π

x^2 + 4x^2= 80

5x^2 = 80

x^2 = 16

x = 4.

So the radius of the larger circle = 2*4 = 8 m.

Answer:

cosZ = [tex]\frac{12}{37}[/tex]

Step-by-step explanation:

cosZ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{12}{37}[/tex]

I really don't know I hope you can figure it out

Answer: 43 brownies and 83 muffins.

Step-by-step explanation: There are 126 sweet items in total.  Jalece and Kaylyn make 40 more muffins than brownies, which means that there are more muffins than brownies.  Let's try 83 muffins and 43 brownies to see if it suits what we need.  With 83 muffins and 43 brownies, there are 40 more muffins than brownies, so that's correct.  83 and 43 also add up to 126, which is the total that we need.

Therefore, there are 43 brownies and 83 muffins.

Let me know if this is right! :)

The number of possible combinations is an illustration of principle of counting

There are 15 possible pairs of possible combinations

From the question, we understand that the first digit is 6, 8 or 9.

This means that the new table would not have entries that begin with 5 or 7.

The table is then represented as:

      6       8         9

5    65     85      95

6    66     86      96

7     67     87      97

8    68     88      98

9    69     89      99

Count the number of entries

Entries = 15

Hence, there are 15 possible pairs of possible combinations

Read more about combination at:

https://brainly.com/question/11732255

Answer: (Decimal: x = 0.99746…)

Answer:

Step-by-step explanation:

To find the slope, pick any two points fromthe line.

(2,2)  & (0,-4)

x₁ = 2 & y₁ = 2

x₂ = 0 & y₂ = - 4

[tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]

          [tex]\sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3[/tex]

Slope = 3

At y-intercept x = 0.

From the graph, y-intercept = -4

Equation of the line: y = mx + b

y = 3x - 4

Answer:

6 will be the exponent

Step-by-step explanation:

1 million has 6 zeros

Answer: y=6x-4

Step-by-step explanation: see attached.

g(x)=4x+4

[tex]\:\boxed{\bf{Table}}\:\:\:\\ \boxed{\begin{array}{c|c}{\boxed{\bf x}}&{\boxed{\bf{g(x)}}}\\ \sf -1 &\sf 0\\ \sf 0&\sf 4 \\ \sf 2&\sf 12 \\ \sf 3&\sf 16 \\ \sf 4 &\sf 20\end{array}}[/tex]

Answer:

54

Step-by-step explanation:

1, 3, 5, and 7, all have the same angle size: 126 so we can use this to find 6 and 8 :)

180 - 126 =54

6 and 8 would both equal 54 :)

Have a great day!!

Please rate and mark brainliest!!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

According to given figure,

[tex]\qquad \sf  \dashrightarrow \:x + 68 = 174[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 174 - 68[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 106 \degree[/tex]

Answer:

Step-by-step explanation:

this would be summer. because i took le test puddin -Love harley

Answer:

1

Step by step explanation:

[tex]\text{Given that,} ~ f(x) = x^2~ \text{and}~ g(x) = x-1\\\\g(2) = 2-1 = 1\\\\g(f(-1)) = g(1) = 1-1 = 0\\\\f(g(2) + g(f(-1)))= f(1+0) = f(1) = 1^2 =1[/tex]

Answer:

g(2) = 2 - 1 = 1 \\ f( -1 ) = { - 1}^{2} = 1 \\ f(1) + g(1) = \\ f(1) = {1}^{2} = 1 \\ g(1) = 1 - 1 = 0 \\

[tex]g(2) = 2 - 1 = 1 \\ f( -1 ) = { - 1}^{2} = 1 \\ f(1) + g(1) = \\ f(1) = {1}^{2} = 1 \\ g(1) = 1 - 1 = 0 \\ 1 + 0 = 1 \\ [/tex]

AnsweA jar contains 15 red​ marbles, 30 blue​ marbles, 10 green​ marbles, and 35 orange marbles. Find the probablilty of picking a green marble.r:

Step-by-step explanation:

Answer:

impossible? you have only 2 coins

Answer:

I'm going to assume you mean 3 fair coins. The probably would be 1/8, so unlikely.

Step-by-step explanation:

Answer:

1.26

Step-by-step explanation:

To solve 4.2*0.03, you move the decimal point to the right however many times to both numbers until they are whole numbers.

Doing this, we have 420*3, which took 3 decimal point shifts, so now we do 420*3 to get 1260, and then go 3 decimal places to the left to get the actual answer.

Thus, 4.2*0.03=1.260=1.26