Answer:
Step-by-step explanation:
[tex]f(x) = g(x)\\\\x^2 - 8x -15 = -4x +6\\\\x^2 - 8x -15 +4x -6 = 0\\\\x^2 -4x -21 = 0\\\\x^2 -7x + 3x -21=0\\\\x(x-7)+3(x-7)=0\\\\(x+3)(x-7)=0\\\\x= -3, 7[/tex]
x = -3 , 7
Step-by-step explanation:f (x) = g(x)
x ² − 8x −15 = −4x + 6
x ² − 8x − 15 + 4x − 6 = 0
x ² −4x−21 = 0
x ² −7x + 3x −21 = 0
x ( x − 7 ) + 3( x − 7 ) = 0
( x + 3 ) ( x − 7 ) = 0
x = −3, 7
I'm kinda lost here, what do I do when the quadrant is given? CanI have some of these solved at least with steps?
Answer:
See Explaination
Step-by-step explanation:
According To Question
In Quadrant-1 (0* to 90*) ( All the Trignometry Functions are Positive )In Quadrant-2 (90* to 180*) (Only Sine & Cosecant are Positive)In Quadrant-3 (180* to 270*) (Only Tangent & Cotangent Are Positive)In Quadrant-4 (270* to 360*) ( Only Cosine & Secant Are Positive)(Diagram, Please Find In Attachment)
Question 38 . Cos ∅ = 12/13 ∅ in Quadrant-4(Where only Cos & Sec are Positive all other Functions Are Negative in this Quadrant)
Now ∅ Represent a Right Angle Triangle with Base=12 Perpendicular=5 & Hypothenese=13
other Five Trignometry Functions Are as FollowSin∅ = -5/13 , Cosec∅=-13/5 , Tan∅=-5/12 , Cot∅=-12/5 & Sec∅=13/12
Question 39 . SinX=-3/4 X Lies in Quadrant-3(Where only Tan & Cot are Positive all other Functions Are Negative in this Quadrant)
Now For Other Trignometry FunctionsFind By Using Basic Formulas
[tex]SinX^{2}+CosX^{2}=1[/tex] ↔ Put Value of Sin∅=-3/4
We get CosX= ±[tex]\frac{\sqrt{5} }{4}[/tex] (but X Lies in Quadrant-3 Where Cosine Is Negative , So Neglect CosX= +[tex]\frac{\sqrt{5} }{4}[/tex])
So CosX= -[tex]\frac{\sqrt{5} }{4}[/tex] ...... now you get the point . All Questions Will Solve like This .
What is the equation of the graph shown above
What set or sets does negative squareroot of 20 belong to? is it a real number, rational, integer, whole number, irrational, or natural?
Answer:
Real number and Irrational number
Step-by-step explanation:
Given
[tex]-\sqrt{ 20[/tex]
Required
The set it belongs to
First, solve the expression
[tex]-\sqrt{ 20} = -4.472136[/tex]
The above number is not an integer and it is not whole or natural because it has decimal points
It is not a rational number because it cannot be expressed as a simple fraction
However, the number can be categorized as either irrational or real because of the level of the decimal point in the result
What is photosynthesis?
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓[tex]\pmb{\qquad{\qquad{\underline{\green{\underline{\sf{Photosynthesis}}}}}}}[/tex]
Photosynthesis is the process by which green plants take in carbon dioxide and water, in the presence of chlorophyll by using sunlight to make their own food. Oxygen is released as a by product.
Chemical Reaction for PHOTOSYNTHESIS:
[tex]\sf 12H_2O + 6CO_2 \underset{chlorophyll}{\xrightarrow{Sunlight}} C_6H_{12}O_6 + 6H_2O + 6O_2 \uparrow[/tex]▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
which number is not equal to one of the following expressions? 1,400 x 10
140,000÷100 1,400 x 100
1,400
140
140,000
14,000
Lowest common multiple of 45 and 54
Answer:
270
Step-by-step explanation:
Answer:
the answer is 270
Evaluate n^2 -m. If you n=-5 and m=3
Answer:
22
Step-by-step explanation:
n² - m =
-5² - 3 =
25 - 3 = 22
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
22
Step-by-step explanation:
(-5)^2- 3
two negatives make a positive which would be 25 then minus the 3
=25-3
then you get your total
=22
I need help answering h to is question
Answer:
[tex] y = \frac {4}{3}x - 2[/tex]
Step-by-step explanation:
Given the following data;
Points on the line (x1, y1) = (3, 2)
Slope, m = 4/3
To write the equation in slope intercept form;
First of all, we would determine the intercept of the line.
Equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values in order to find the intercept, we have;
2 = 4/3(3) + c
2 = 4 + c
c = 2 - 4
c = -2
Therefore, the equation of line is y = 4/3x - 2
[tex] y = \frac {4}{3}x - 2[/tex]
Susan’s ribbon is 3.8 metres long.
What is the length of her ribbon in millimetres?
Answer:
the answer is 3800mm.because 1m is 1000mm
PLZ SOLVE. DONT BE WRONG PLEASEEEE I NEDD ED THIS
Answer:
288
Step-by-step explanation:
Take the area of every individual section, and add them together.
24
24
100
80
60
The scatterplot shows the time spent playing a video game and the number of points scored by several students.
Based on the scatterplot, which is the best prediction of the number of points scored by a student who spends 45 minutes playing the video game?
It seems you havent posted a graph
It is believed that 25% of U.S. homes have a direct satellite television receiver. How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points?
Answer:
A sample of 801 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
25% of U.S. homes have a direct satellite television receiver.
This means that [tex]\pi = 0.25[/tex]
How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points?
This is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.25*0.75}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2[/tex]
[tex]n = 800.3[/tex]
Rounding up:
A sample of 801 is needed.
Find the volume of the rectangular pyramid below.
Answer:
315 yd cubed
Step-by-step explanation:
To find the volume of the pyramid, we first need to consult the equation below. Thebase is for the rectangular portion, then after multiplied by the height it is divided by 3 to get the pyramid.
[tex]\frac{1}{3} (B * H )[/tex]
To get the base, we multiply the length by the width.
21 * 9 = 189
189 * 5 = 945
945 divided by 3 = 315
Answer:
Let's find the base area:
21 x 9 = 189
Now let's multiply the base area by the height:
189 x 5 = 945
Now let's divide by 3( x 1/3 ):
945 divided by 3(x 1/3) = 315 yd^3 is your answer
Step-by-step explanation:
Formula area of a rectangular Pyramid(just like any other pyramid):
BH x 1/3
To find base we multiply length by width just using the basic formula of finding area of a rectangle.
Then we multiply our base area by our height.
One we've done that we now divide by 3(multiplying by 1/3)
Evaluate the following integral over the ellipse
The underlying vector field,
F(x, y) = -y/(4x ² + 9y ²) i + x/(4x ² + 9y ²) j,
is conservative, so any integral of F over a closed path is 0.
To establish that F is conservative, we want to find a scalar function f(x, y) whose gradient is equal to F(x, y), which entails solving
[tex]\dfrac{\partial f}{\partial x}=-\dfrac y{4x^2+9y^2}[/tex]
[tex]\dfrac{\partial f}{\partial y}=\dfrac x{4x^2+9y^2}[/tex]
Integrating the first equation with respect to x yields
[tex]f(x,y)=-\dfrac16\arctan\left(\dfrac{2x}{3y}\right)+g(y)[/tex]
and differentiating with respect to y gives
[tex]\dfrac x{4x^2+9y^2}=\dfrac x{4x^2+9y^2}+\dfrac{\mathrm dg}{\mathrm dy} \implies \dfrac{\mathrm dg}{\mathrm dy}=0 \implies g(y)=C[/tex]
Which graph best represents the equation f(x) = 2(5)^x
Answer:
H
Step-by-step explanation: 6 4 17 30
if x = 0 f(0) = 2×5^0
= 2 × 5
= 10
H is the only graph that equals 10 at x=0
Answer:
See the image below for the answer:)
Step-by-step explanation:
Hope this was helpful.
The ages of the members of a family are 46, 48, 21, 12, 15, and 8. what is the mean age?
Answer:mean means to average. in order to average, add all the numbers then divide by how many numbers you have.
All these ages add up to 150. because there are 7 ages, divide by 7. this is 21.4 which can be rounded to about 21
46 + 48 + 21 + 12 + 15 + 8 = 150
150 ÷ 7= 21.4285 = 21
Step-by-step explanation:
7. CHALLENGE: Use the digits 0 to 9 to make the equation true. You don't need to use all thedigits you can only use each digit once.
20 = ___+(___-___)×___
9514 1404 393
Answer:
20 = 2 + (7 -4) × 6
Step-by-step explanation:
The Order of Operations requires the parentheses be evaluated first, then the multiplication performed. Finally, the addition is performed.
If each of the blanks is filled with a single digit, the result of the multiplication must be a composite number greater than 10. Those are 12, 14, 15, 16, 18, 20. For the expression shown above, we have chosen to make the product be 18. That means the first blank is filled with 2 and the remaining blanks must evaluate to one of the products 2×9 or 3×6.
We have chosen 6 for the last blank, so the two blanks in parentheses must have a difference of 3. The digits 2 and 6 cannot be used, leaving possible choices as (3-0), (4-1), (7-4), (8-5).
Our final expression is chosen to be ...
20 = 2 +(7 -4)×6
Find the volume of a prism
Answer:
10x7x5=350. Your answer is B! heart it if it was good!
Step-by-step explanation:
Answer:
to find the volume of a prism you need to multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Step-by-step explanation:
Perimeter of a rectangle is 11 inches. The length of the rectangle is 1/2 inches what is the width of the rectangle?
Answer:
=5
Step-by-step explanation:
perimeter= 2(L)+2(W)
11 =2(1/2)+2W
11=1+2W
11-1=2W
10=2W
Both sides divided by 2
therefore The width is 5
Work out the size of angle x
Answer:
[tex]x=47^{\circ}[/tex]
Step-by-step explanation:
By definition, parallelograms have two pairs of parallel sides. Therefore, AD and BC are parallel, and the angles marked with [tex]x[/tex] and [tex]47^{\circ}[/tex] are alternate interior angles. Since alternate interior angles are equal, we have [tex]x=\boxed{47^{\circ}}[/tex]
Can someone help me please !
PLEASE HELP ME ITS DUE SOON
Find the x and y intercepts of the equation. Express your answers as points. 5 x + 7 y = − 140
Answer:
x-intercept(s): (-28, 0)
y-intercept(s): (0, -20)
Step-by-step explanation:
Try This Answer.
Need help
7th grade
Vertical angles
Answer:
a) 90°
b) 90° - 35° = 55°
c) 65° - 40° = 25°
d) 90° - 65° = 25°
e) 180° - 65° = 115°
f) 180° - 35° = 145°
g) 180° - 40° = 140°
h) 65° + 35° = 100°
180° - 100° = 80°
i) 90° - 40° = 50°
j) 35° + 40° = 75°
180° - 75° = 105°
(the answer is written in bold)
Metric Units of Length
1 km = 103 m = 1,000 m
1 m= 102 cm = 100 cm
1 m = 103 mm = 1,000 mm
1 cm = 10 mm
Which of the following tells how to change a measurement from millimeters to meters?
O Divide by 10
O Multiply by 10
O Divide by 1,000
O Multiply by 1,000
Answer:
devide by 1000 is answer
Answer:
divide by 1000
Step-by-step explanation:
1m=1000mm
? = 10mm
10m*1m/1000
=
Please show work thank you
Answer: 70 mph
Step-by-step explanation:
5.6x10^11-1.12x10^10=
Answer:
548800000000
Step-by-step explanation:
5.6 × 10¹¹ - 1.12 × 10¹⁰
560000000000 - 11200000000
548800000000
Write an equitation for each problem and solve; someone help! I have until 4!
Taxi Word Problem
C = 3.50 + .50m + 3
C = 3.50 + .50(13) + 3
C = 3.50 + 6.50 + 3
C = 13
The total cost will be $13.00
Rock Climbing Word Problem
Trina: 5 + 3.25h = 21.25
Now, subtract 5 from both sides.
3.25h = 16.25
Now, divide both sides by 3.25.
h = 5
Trina spent 5 hours at the facility.
Ralph: 21.25 - 5/ 3.25 = h
Subtract 5 from 21.25
16.25/ 3.25 = h
Now divide
5 = h
Ralph will spend 5 hours at the facility to spend the same amount as Trina.
I hope I helped you in time! Good Luck!!
The circumference of a circle is 36 cm.
What is the radius of the circle?
Answer:
The radius is 6 cm rounded
Step-by-step explanation:
[tex]C[/tex] stands for circumference
[tex]r[/tex] stands for radius
here's the formula to find the radius: [tex]r=\frac{C}{2\pi }[/tex]
[tex]r=\frac{36}{6.283}[/tex]
[tex]r=5.729[/tex]
Hope this helps
Answer:
r = 18/pi or approximately 5.732484076 cm
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
36 = 2*pi*r
Divide each side by 2 pi
36 / (2pi) = 2pi r/ (2pi)
18/ pi = r
Using 3.14 for pi
18/ 3.14 = r
5.732484076 = r
You choose a marble at random from a bag contains 12 red 10 blue 5 green 4 yellow and 29 black marbles. The marble is red.
Step-by-step explanation:
P(red) = 12/(12+10+5+4+29)
= 12/60
= 1/5
= 0.2
= 20%