what are the solutions to the equation 3x²+15x=18​

Answers

Answer 1

Answer:

x = 1 or x = −6

Step-by-step explanation:

Step 1: Subtract 18 from both sides.

3x2+15x−18=18−18

3x2+15x−18=0

Step 2: Factor left side of equation.

3(x−1)(x+6)=0

Step 3: Set factors equal to 0.

x−1=0 or x+6=0

x=1 or x=−6


Related Questions

ABCD is a trapezoid. The coordinates are A(-4, -1), B(0,3), C(8,3) and D(8, -1). Find the length of the midsegment of the trapezoid.

Answers

Answer:

the length od the midsegment is 10

Step-by-step explanation:

8+12/2=20/2=10

The cylindrical canister of a fire extinguisher
has a diameter of 4 inches and is 12 inches
high. About how many square inches of
metal (total surface area) would be needed
to manufacture one fire extinguisher?

Answers

Step-by-step explanation:

2*22/7*48=301.714 .This the answer

Answer:

Yeah, what they said above.

Step-by-step explanation:

Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw. 3 red marbles and 2 blue marbles What is the best prediction for the number of times that Ellen will draw a blue marble?

Answers

Answer:

120

Step-by-step explanation:

Blue marbles = 2

Red marbles = 3

Total marbles = 2 + 3 = 5

If a marble is drawn 300 times ;prediction for the number of times a blue marble will be drawn :

P(drawing a blue marble) = number of blue marbles / total number of marbles

= 2 /5 = 0.4

Predicted number of times blue is drawn in 300 selections :

300 * 0.4 = 120

Approximately 120 times

A turtle and a snail are 300 feet apart when they start moving towards each other. The
turtle is moving at a speed of 5 feet per minute, and the snail is moving at a speed of 1
foot per minute.
How fast are they approaching each other?

Answers

Answer:

6 feet per minute

Step-by-step explanation:

Answer:

6 feet per minute.

Step-by-step explanation:

5ft + 1ft = 6ft per minute.

Aimee wants to order some DVDs from Amazon. Each DVD costs $8.49 and shipping for the entire order is $5. She has only $70 to spend. How many DVDs can she order?

Answers

Answer:

7 cds

Step-by-step explanation:

8.49*x +5=70 => 8.49*x=65 => x= 65/8.49 => x= 7 approximately

The area of rectangular is 64m the length of the pool is 12 m less that the width .The situation can be represented by the equation x

Answers

Answer:

Width = 16 m

Length = 4 m

Step-by-step explanation:

The area of rectangular is 64m² the length of the pool is 12 m less that the width . The situation can be represented by the equation x

Area of a rectangle = Length × Width

L = W - 12

Hence:

64 = (W - 12) × W

64 = W² - 12W

W² - 12W - 64 = 0

Factor using

(W + 4)(W - 16) = 0

Width = 16m

Length = W - 12

Length = 16 m - 12 m

= 4 m

find the distance between the points (-4,-2) and (3,3)

Answers

Answer:

8.6

Step-by-step explanation:

Use the distance formula to find the distance between the two points.

√[(x₂ - x₁)² + (y₂ - y₁)²]

√[(3 - -4)² + (3 - -2)²]

√[(7)² + (5)²]

√[(49) + (25)]

√74

8.6

I need help on 12 please 14 points

Answers

Step-by-step explanation:

P = 6+6+5x-3 + 5x -3 = 10x+6

A = 6(5x-3) = 30x -18

Answer:

30x-18 is the area

the perimeter is 10x+6

Step-by-step explanation:

not enough info to solve for x, but we can still have a variable

6(5x-3)

distribute

6(5x)-6(3)

30x-18 is the area

the perimeter is 10x+6

The circumference of a circle is approximately 131.88 centimeters What is the area of the shaded region (6/10 of a circle)

Answers

Answer:

82.97cm^2

Step-by-step explanation:

Given data

Circumference=  131.88 centimeters

We want to find the area of 6/10 part of a circle

Firstly, let us find the area of the circle

We need to get the radius

C= 2πr

131.88= 2*3.142*r

131.88=6.284r

r=  131.88/6.284

r=20.98 cm

Area= πr^2

Area= 3.142*20.98^2

Area= 3.142*440.16

Area= 1382.98cm^2

Hence 6/10 of a 1382.98

=0.06*1382.98

=82.97cm^2

Which equation is true?
A=
32
14
19
56
B=
5
1
8
3
C=
4
7
2
9
O A.
(12
so C
32 19T-5 874 2
14 56 1 3 7
32 1911-5 84 2
14 56 3 ||79
B.
32 19
14 56
32 19
14 56
+
CON
O c.
32 1971-5 8714
14 56 || 1 3 || 7 9
(32 1974 271-5 87
14 56 || 7 9 | 1
[-5 874 27
O D.
1 3 7 9
(4 275 8
7 9 13

Answers

Answer:

A

Step-by-step explanation:

Equation A is true among the given equations.

What is a matrix?

A matrix is an array of values arranged in rows and columns, such that they are used to represent a mathematical object.

Matrices are associative when they are multiplied. This means that any two adjacent matrices can be multiplied first and then the third one can be multiplied. This would yield the same answer. This means that equation A is true. In equation B, different matrices are multiplied and added. Therefore, the LHS is not equal to the RHS. In equation C, the order in which the matrices are written and multiplied is different. Matrices aren't commutative with multiplication. Therefore, the LHS is not equal to the RHS. Similarly, equation D is also wrong.

Thus, we have found that among the given equations, equation A is true.

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shawty baes please help!! ( no links please!)

Answers

The answer is 3 I just took the test

bro pls hlep me with #3 and #4

Answers

Answer:

3. 15 baskets

4. 16 tries

Step-by-step explanation:

3.

3: 4 is ratio so 3:4=x:20, 3/4=x/20, and you get x=15

4. ratio is still 3:4, 3:4=12:x, 3/4=12/x, x=16, so 16 tries

Compare lengths. Write >, <, or = .

22 ft __ 7 yd 11 in.

Answers

22ft is less than 7yd 11in

ill mark brainlist plss help

Answers

to answer your question, the answer would be 8

In a class, there are twice more boys than girls. Six boys leave the class and six girls arrive ;
therefore, there are twice more girls than boys .
How many boys and girls were there at first ?
please show calculations steps plus this should be solved as a system​

Answers

Answer:

Boys= 12

Girls= 6

Step-by-step explanation:

Let no: of girls be 'x'

No: of boys= 2x

boys after= 2x-6

girls after = x+6

according to the question,

2(2x-6)=x+6

4x-12=x+6

3x=18

x=6

No: of girls at first= 6

No: of boys at first=2*6=12

HELP ASAP.

Please solve.

2 plus or minus the square root of negative 36 over 2

Answers

Answer:

The expression is not defined in a set of real numbers.

The square root of a negative number is not defined in the set of real numbers.

Three consecutive integers numbers add up to -6. What are the numbers?

Answers

Answer:

-1, -2, and -3

Step-by-step explanation:

-1 + -2 + -3 = -6

Gabe is making a fruit punch for a party. He starts with some apple juice and adds 2 12 cups of soda and 134 cups of orange juice. He ends up with 612 cups of the fruit punch. How many cups of apple juice are in the fruit punch?

A) 214
B) 3 56
C) 4 14
D) 10 34

Answers

Not 100% sure but I’m thinking it is C

Which best describes the figure that is represented by the following coordinates?
A(-4, 3), B(2,3), C(3, -1) and D(-5, -1)
у
10-
a rectangle
8
6
a trapezoid
4
2
a rhombus
10-8
-6 -4
24
8
X
0
-2
a parallelogram
-4-
-6
-8
- 10

Answers

9514 1404 393

Answer:

  (b)  a trapezoid

Step-by-step explanation:

A graph of the points reveals one pair of parallel sides: a trapezoid.

how to do graphs of quadratic functions ​

Answers

Answer:

The Graph of a Quadratic Function

A quadratic function is a polynomial function of degree 2 which can be written in the general form.

Step-by-step explanation:

Example: Graph: f(x)=−x2−2x+3.

Solution:

Step 1: Determine the y-intercept. To do this, set x=0 and find f(0).

f(x)f(0)===−x2−2x+3−(0)2−2(0)+33

The y-intercept is (0,3).

Step 2: Determine the x-intercepts if any. To do this, set f(x)=0 and solve for x.

f(x)000x+3x======−x2−2x+3−x2−2x+3x2+2x−3(x+3)(x−1)0−3orx−1x==Set f(x)=0.Multiply both sides by −1.Factor.Set each factor equal to zero.01

Here where f(x)=0, we obtain two solutions. Hence, there are two x-intercepts, (−3,0) and (1,0).

Step 3: Determine the vertex. One way to do this is to first use x=−b2a to find the x-value of the vertex and then substitute this value in the function to find the corresponding y-value. In this example, a=−1 and b=−2.

x====−b2a−(−2)2(−1)2−2−1

Substitute −1 into the original function to find the corresponding y-value.

f(x)f(−1)====−x2−2x+3−(−1)2−2(−1)+3−1+2+34

The vertex is (−1,4).

Step 4: Determine extra points so that we have at least five points to plot. Ensure a good sampling on either side of the line of symmetry. In this example, one other point will suffice. Choose x=−2 and find the corresponding y-value.

x −2  y 3f(−2)=−(−2)2−2(−2)+3=−4+4+3=3Point(−2,3)

Our fifth point is (−2,3).

Step 5: Plot the points and sketch the graph. To recap, the points that we have found are

y−intercept:x−intercepts:Vertex:Extra point:(0,3)(−3,0) and (1,0)(−1,4)(−2,3)

Answer:

SOME ONE HELP!!! You are still at (1,5). The zombie is 8.7 units below you. Enter the correct coordinates of the zombie below.

Answers

Answer:

(1,-3.7)

Step-by-step explanation:

subtract the y axis to go down

5 - 8.7 = -3.7

The solution is B ( 1 , -3.7 )

The coordinates of the zombie is given by B ( 1 , -3.7 )

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:  y=f(x+c) (same output, but c units earlier)

Right shift by c units:  y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the initial point of the man be A

The value of A = A ( 1 , 5 )

Let the coordinates of the zombie be B

The value of B = B ( x , y )

The zombie is 8.7 units below

So , it is a vertical shift by 8.7 units

Therefore , the y coordinate will decrease by 8.7 units

Substituting the values in the equation , we get

B = A ( 1 , 5 - 8.7 )

B = B ( 1 , -3.7 )

Therefore , the value of B is B ( 1 , -3.7 )

Hence , the coordinates of B is B ( 1 , -3.7 )

To learn more about transformation of function click :

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HELP ME WITH THESE PROBLEMSS PLEASE

Answers

Help yourself

Yeaaaaaaaaaaaaa

write an equation in slope-intercept for the line that has a slope of 1/2 and goes through the point (4, 7)

Answers

Answer:

y = 1/2x + 5

Step-by-step explanation:

The formula for an equation is y = mx + b

m is the slope. It is given

y = 1/2x + b

b is the y-intercept

In this case, we must substitute to find the y-intercept

We are given coordinate pair (4,7)

Plug our pair in and we get => 7 = 1/2(4) + b

=> 7 = 2 + b

easily, we find b = 5

We get our equation: y = 1/2x + 5

Cheers!

PLS HELP ASAPPPP ILL GIVE BRAINLIEST OR WHATEVER NO LINKS!!!!!!!!!!!!!!!!!!

Answers

1) Power of a Product

2) Power Rule (or Power of a Power)

Answer:

-Number 1 is Power of a Power Property, I think

-Number 2 is Power of a Power Property

Or D : X=9


Choose one answer pls

Answers

Answer:

[tex]x=\sqrt{41}[/tex]

Step-by-step explanation:

Pythagorean theorem: [tex]a^{2}+ b^{2}=c^{2}[/tex]

Answer:

Option B

Step-by-step explanation:

Pythagorean Theron is:

[tex]a^2+b^2=c^2\\\\\text{a and b - legs}\\\text{c - hypotenuse}[/tex]

We would be solving for 'c', or the hypotenuse.

[tex]4^2+5^2=c^2\\\\16+25=c^2\\\\41=c^2\\\\\boxed{\sqrt{41}, -\sqrt{41} =c}[/tex]

The correct answer should be option B.

Hope this helps.

I'll give brainliest to whoever answers correctly.

Answers

Answer:

29

Step-by-step explanation: pls dont get mad if it is wrong

<3<3<3<3<3<3

Answer:

29

<3<3<3<3<3<3

Which statement is true?
y = 12(3)*
Growth Factor is 3
Decay factor is 3
growth factor is 12
decay factor is 12

Answers

Y= 12(3)*
Growth factor is 3

At the start of the show there were 2000 liters of oxygen in the
studio Now that we are 10 minutes into the show, there are 1950 liters. Is
someone. breathing in here? What is their rate of oxygen consumption in liters do
per minute?



please help​

Answers

Answer:

11,000

Step-by-step explanation:

$750 at 6% for 18 months​

Answers

Answer:

ecall that 6 + 6 + 6 = 6 × 3

Instead of adding 6 three times, you can multiply 6 by 3 and get 18, the same answer.

Similarly,

6 + 6 + 6 + 6 + 6 + 6 + 6 = 6 × 7 = 42

Still by the same token,

2 + 2 + 2 + 2 = 2 × 4

Can someone please help with this?

Answers

Answer:

true

Step-by-step explanation:

first find the median of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

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