Answer:
[tex]x=\frac{-1}{4} +/-\frac{1}{4}\sqrt{17}[/tex]
Step-by-step explanation:
First, we need to get the equation into the polynomial form. Add 8 to both sides:
[tex]-6x^{2} -2-3x=-8[/tex]
[tex]-6x^{2} +6-3x=0[/tex]
Rearrange the equation so that it is in standard form:
[tex]-6x^{2} -3x+6=0[/tex]
Remember the quadratic formula:
[tex]\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex]
[tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are the coefficients of the problem when it is in standard form. In this case, [tex]a=-6[/tex], [tex]b=-3[/tex], and [tex]c=6[/tex]. Now, all we need to do is plug those into the quadratic formula.
[tex]\frac{-(-3)+/-\sqrt{(-3)^{2}-4(-6)(6)} }{2(-6)}[/tex]
Simplify:
[tex]\frac{3+/-\sqrt{153}}{-12}[/tex]
[tex]x=\frac{-1}{4} +/-\frac{1}{4}\sqrt{17}[/tex]
Hope this helps!
Find the slope of the line.
1/3
-1/3
3
-3
Answer:
if a line is like so it has a positive slope: / . IF a line is like this it has a negative: \
Therefore that leaves out -1/3 and -3
Either A or C is correct
From the y intercept (where the line intercepts the y axis), in this case 2, to the next point on the line (3, 3) it goes up 1 and over 3 to get to that point from the intercept. Therefore the slope is 1/3. (Rise/run)
1/3
Step-by-step explanation:
Identify the error in this column:
(x2 + 3x + 18) = (x + 3)(x + 6)
Answer:
The error is found in the "3x" part of the equation.
Step-by-step explanation:
The rest of the equation is correct because x times x = x2. And 6 times 3 = 18. But x times 6 = 6x, and 3 times x = 3x, and 6x+3x=9x. 9x doesn't = 3x
Answer:
It should be 9x instead of 3x on the left-hand side of the equation.
Step-by-step explanation:
We can expand the equation (x+3)(x+6) to find out:
(x+3)(x+6) = x² + 6x + 3x + 18
We multiply x with x then x with 6.
Then, we multiply 3 with x and 3 with 6.
x² + 6x + 3x + 18 = x² + 9x + 18
MATH HELP PLS!!! MARKING BRAINLIST!! MaTH
Answer:
11
Step-by-step explanation:
Answer:
s = 11Step-by-step explanation:
Can someone please help me??!
Answer:
3
Step-by-step explanation:
Rise over run. [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. Say the two y points are 4 and 2 and the two x points are 10 and 4. [tex]\frac{10-4}{4-2}[/tex] which is [tex]\frac{6}{2}[/tex]. [tex]\frac{6}{2}[/tex] simplifies to [tex]\frac{3}{1}[/tex].
Gears A and B turn together. Gear A turns 20 times when
Gear B turns 30 times. When Gear A turns 60 times,
how many times does Gear B turn? Show your work
Answer: Gear B turns 90 times when gear A turns 60 times
Step-by-step explanation: To solve this you just 30x3=90
(5m +1)(5m-1) factoring the difference of squares. I NEED HELP
Answer:
This can't be further factored. It can also be written as (25m² - 1)
Step-by-step explanation:
It's factored as much as it can be already ^^
Peter compra 8 limones por $6. Cada limón tiene el mismo precio.
¿Cuál es el costo de 1 limón?
Respuesta:
Cada limón cuesta $0.75
Explicación:
$6 ➗ 8 limones = $0.75 por limon
Espero que esto ayude. Lo siento si está mal. Eres amado y eres hermoso/guapo
-Bee
What is the domain and range of f(x)= |x-1| +2 ?
Help!!!!
A 234 inch board is cut into two pieces. One piece is five times the length of the order. Find the length of the shorter piece.
Answer:
39 inches
Step-by-step explanation:
5x+x=234
6x=234
234/6=39
x=39 inches
find f'(x) for f(x) = -8x2-5x-4
Thank you :)
Answer:
Step-by-step explanation:
Use the constant, constant multiple, and power rules for derivatives: bring down the exponent and multiply it by the constant, then replace it with an exponent that is 1 less than what it was. The derivative of
[tex]f(x)=-8x^2-5x-4[/tex] would look like this:
[tex]f'(x)=-8(2)x^1-5-0[/tex] simplifying to
[tex]f'(x)=-16x-5[/tex]
anyone know how to solve this please?
Answer:
y = √55
Step-by-step explanation:
from the Euclidean theorem
y^2 = CB × AC
y^2 = 5 × 11
y^2 = 55
y = √55
Select the expressions that are equivalent to 8(-3c).
-24c
C + 5
8 - 30
8(0 - 3)
What is the volume of the prism, in cubic centimeters?
Answer:
the volume of the prism is 168 cubic centimeters.
Step-by-step explanation:
The volume of the prism is ;120 cubic centimeters.
What is rectangular prism ?Connect three rectangles edge to edge. To close their triangular mouths from both ends. That shape is called a triangular prism.
A rectangular prism has six faces (each one of these faces are rectangle), 8 vertices, and 12 edges.
Noted that this rectangular prism has 5 layers and the volume of one of these layers is 18 cubic centimeters ().
Considering that all these layers are equal, the volume of this prism can be calculated with:
Volume = Base area x length
= 1/2 x 6 x 4 x 10
= 240/2
= 120
Learn more about volumes of triangular prisms here:
https://brainly.com/question/16909441
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Please help me
23+25
I’m not good at adding a whole bunch of digits
Answer:
Can't tell if this is a joke or not but eh
23+25=48
Step-by-step explanation:
Answer:
48 is the sum of 23+25
explanation
What’s the value for y?
Answer:
c -2
x=0
y=3x-2
=3×0-2
=0-2
=-2
-3x-8/4=10
What’s is value of x
Answer:
x= -16
Step-by-step explanation:
-3x-8/ 4 = 10
Here we can try to isolate x and so we have to first multiply 4 on each side.
-3x-8= 40
Then we can add the 8 to each side.
-3x= 48
Next, divide the -3 onto each side and we can get the answer!
x= -16
Divide 405 in the ratio
4:11
Answer:
U
Step-by-step explanation:
Hahahahah
ABCD is a parallelogram.
p+1/p=7 then p^3+1/p^3
Find A and B if the graph of Ax + By = 12 passes through (2,1) and is parallel to the graph of 2x - 7y = 3
Answer:
24-21
Step-by-step explanation:
2×12=24 7×3=21 I started from 2×2 towards 2×12 when I got the answer and I started 7×1 towards 7×3
What is the opposite of
Please help
Answer:
-√3
.............
.........
6. Find the slope of the given line. Write your answer in simplest form. 7
Answer
(7),(14)
Step-by-step explanation:
7
14
7x2=14
Lucia draws a square and plots the center of the square, She claims that any rotation about
the center of the square that is a multiple of 45° will carry the square onto itself
Which statement best describes Lucia's claim?
A. Lucia's claim is correct since any rotation that carries a square onto itself is a multiple of 45°,
B. Lucia's claim is correct since any rotation that is a multiple of 45° carries a square onto itself
C. Lucia's claim is incorrect since not all rotations that carry a square onto itself are multiples of 45,
D. Lucia's claim is incorrect since not all rotations that are multiples of 45° carry a square onto itself
Answer:
The 2 si right
Step-by-step explanation:
We want to study the symmetry of a square and which rotations carry the square into itself.
We will see that the correct option is the last one:
Not all rotations of multiples of 45° carry the square into itself.
Here we have the claim:
" any rotation about the center of the square that is a multiple of 45° will carry the square onto itself"
And we want to see if this is true or not.
What we can try to do, is find a counterexample to see if this is false.
Let's draw a square, then make a point in the center of it, and draw a segment between the center and the right side.
Now rotate that segment around the center of the square (and along with it, the whole square) by 45°.
(note that 45° is a multiple of 45°).
Doing this, you will see that this rotation does not rotate the square into itself.
So the correct option is D, not all rotations of 45° rotate the square into itself. While rotations of 90°, 180°, 270°, etc... will map the square into itself, we just found an example of a rotation of a multiple of 45° that does not do it.
An image of the rotation can be seen below:
If you want to learn more, you can read:
https://brainly.com/question/11392539
What has a fraction in its numerator, denominator, or both
Answer:
love i
Step-by-step explanation:
What equation models the line that goes through the point (12,3) and has a slope of -1/3
Answer:
y= -1/3x+7
Step-by-step explanation:
What is the sales tax on a $17,500 truck if the tax rate is 6%?
Answer:
$1050
Step-by-step explanation:
The sales tax on a $17,500 truck when the tax rate is 6% is $1050.
Feel free to give brainliest.
Have an outstanding day!
Iliana claims that she can construct a triangle from a 12-inch rod, a 36-inch rod, and a 39.4-inch rod. Which statement explains whether she is correct?
Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.
Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.
Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
Iliana will be able to construct a triangle because the sum of any two sides is less than the third side.
Answer:
C. Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
Step-by-step explanation:
edge
Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
How to determine the correct statement?The sides of the triangle are given as:
12, 36 and 39.4 inches
According to the triangle inequality theorem, the following must be true
x + y >= z
Where z is the longest side.
This means that:
12 + 36 >= 39.4
Evaluate the sum
48 >= 39.4
The above inequality is true
Hence, the true statement is (c)
Read more about triangle inequality theorem at:
https://brainly.com/question/9165828
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I need help with math
Answer:x=19 degrees
Step-by-step explanation:
Answer:
x = 19
Step-by-step explanation:
[tex]m\widehat{ XPZ} = 271\degree... (given) \\\\
m\widehat {XZ} =360\degree - 271\degree\\\\
m\widehat {XZ} =89\degree\\\\
m\angle XYZ = \frac{1}{2} \times (m\widehat{ XPZ} -m\widehat {XZ} ) \\\\
(4x +15)\degree = \frac{1}{2} \times(271\degree - 89\degree) \\\\
(4x +15)\degree = \frac{1}{2} \times 182\degree\\\\
(4x +15)\degree = 91\degree\\\\
4x + 15= 91\\\\
4x = 91-15\\\\
4x = 76\\\\
x = \frac{76}{4}\\\\
\huge \orange {\boxed {x = 19}}
[/tex]
What is the vertex of the parabola: y=2(x-3)2^+4
Answer:
Vertex: (3,4)
Step-by-step explanation:
Vertex form of the quadratic equation
The vertex form of the quadratic function has the following equation:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
The parabola is given as:
[tex]y=2(x-3)^2+4[/tex]
Comparing with the equation:
a=2, Vertex: (3,4)
The graph of the parabola is shown in the image below
Use the number line. Enter the integer value that point D represents.
Number line from -10 to 10 with 20 tick marks. Point D is 1 tick mark to the left of 5.
Given:
A number line from -10 to 10 with 20 tick marks.
Point D is 1 tick mark to the left of 5.
To find:
The integer value that represents point D.
Solution:
A number line from -10 to 10 with 20 tick marks. It means, each mark represents the integer values from -10 to 10.
We know that, as we move towards left on a number line the value decreases and as we move towards right the value increases.
Point D is 1 tick mark to the left of 5. It means, point D represents the integer value which is 1 less than 5.
[tex]5-1=4[/tex]
Therefore, point D represents the integer 4.