x = 30 degrees. See the attached picture for how to solve it.
what is the value of n
Answer:
c. 38
Step-by-step explanation:
Which represents where f(x) = g(x)? A) f(4) = g(4) and f(0) = g(0) B) f(–4) = g(–4) and f(0) = g(0) C) f(–4) = g(–2) and f(4) = g(4) D) f(0) = g(–4) and f(4) = g(–2)
Answer:
B. f(-4) = g(-4), and f(0) = g(0)
Step-by-step explanation:
We are given two functions that have been graphed already. The points on the coordinate plane where the curve of g(x) intercepts that of f(x), are the values of x for each function, that would give us the same output (y).
Thus, for f(x) intercepts g(x) at the point where x = -4, y = 4.
Also, f(x) and g(x) intercepts at the point where x = 0, y = 4.
Therefore, the correct answer is f(-4) = g(-4), and f(0) = g(0)
PLEASE ANSWER RN PLSSS Two negative integers are 8 units apart on the number line and have a product of 308. Which equation could be used to determine x, the smaller negative integer? x2 + 8x – 308 = 0 x2 – 8x + 308 = 0 x2 + 8x + 308 = 0 x2 − 8x − 308 = 0
Answer:
The correct equation to solve for "x" is:
[tex]x^2+8x-308=0[/tex]
(first option in your list)
Step-by-step explanation:
Let's say that since the integers in question are separated on the number line, we can call them x, and y with for example y being the larger one (two the right of x on the number line). Since the two integers are 8 units apart, then we can write in mathematical form:
y - x = 8 (because y is the larger of the two numbers)
and solving for "y" we get:
y = x + 8
we also know that their product is 308, which we can write in the following form:
x * y = 308
Now, replacing y by "x + 8", we get:
[tex]x*y=308\\x\,(x+8)=308\\x^2+8x=308\\x^2+8x-308=0[/tex]
Therefore, the correct equation is the first one listed among your answer options.
Answer:
x2 + 8x – 308 = 0
Step-by-step explanation:
its A on edge
Which of the following has 4 congruent sides? Mark all the correct
answers.
[mark all correct answers]
a. Square
b. Rectangle
C. Rhombus
d. Parallelogram
Answer:
A and C
Step-by-step explanation:
The shapes that have 4 congruent sides are squares and rhombi.
Solve for x. Write both solutions, separated by a comma. 8x^2+7x-1=0
Answer:
x = 1/8 , - 1Step-by-step explanation:
8x² + 7x - 1 = 0
Rewrite 7x as a difference
That's
8x² + 8x - x - 1 = 0
Factorize
8x( x + 1) - ( x + 1) = 0
(8x - 1)( x + 1) = 0
8x - 1 = 0 x + 1 =0
8x = 1 x = - 1
x = 1/8
The solutions are
x = 1/8 , - 1Hope this helps you
LINEAR EQUATIONS HELP ASAP
Answer:
-1/5
Step-by-step explanation:
(10 ,9) .....(40 , 3)
(9-3)/(10-40)=6/-30=-1/5
Answer: C) -1/5
Step-by-step explanation:
The slope of a line can be represented as [tex]\frac{y_{1} -y_2}{x_{1} -x_2}[/tex]. Thus, the slope of the line is
6/-30, or -6/30, or -1/5
Jon has 5 pairs of socks in his suitcase. What type of number is given here? 1. Whole, integer, rational, real 2. Integer, rational, real 3. Natural, whole, integer, rational, real 4. Rational, real
Answer: 3. Natural, whole, integer, rational, real
Answer:
Answer 3: Natural, whole, integer, rational, real
Step-by-step explanation:
Find the Y-Intercept
Find the Slope
Finally Make a equation with y=mx+b
Thanks, I will mark the best. Also please show your work.
Answer: (0.1) m= -4/3 y= -4/3*x+1
Step-by-step explanation:
Our equation is wriiten this way : y=mx+b where m is the slope and b a constant
let f be our function m = (f(6)-f(3))/6-3= (-7-(-3))/3 = -4/3so: y=-4/3x+bTo get b we need to replace y and x by the coordinates of a point :
(0.1) an easy one 1 = -4/3*0+b 1= b so: y= -4/3*x+1The intercepts with the y-axis are the images of 0
we can see from the table that f(0) = 1 so (0.1) is the intercept with the y-axis
Answer:
The slope is -4/3 and the equation is y=-4/3x+1
Step-by-step explanation:
The easiest way to solve these types of problems is to use Desmos. Look closely at the graph, there is a table on the left with the x and y chart list that automatically adds points onto the graph and the equation of the line. You have to determine the distance between 2 of those points. I counted from coordinate (-3,5) to (0,1) The length between those two points makes a fraction of -4/3. So -4 down and 3 across. That is how you find the slope. Then you make the equation. y=-4/3x+1
Sigourney plays the cello. On 15% of her practice days, she practices all of her scales. If she practices everyday of 4 weeks how many days did she practice all her scales
Answer:
4.2 days
Step-by-step explanation:
Number of Weeks during which she practiced =4 weeks
Convert from weeks to days = 4 X 7=28 days
Since she practices all of her scales 15% of her practice days.
Number of Days that she practiced all her scales
=15% X 28
=0.15 X 28
=4.2 days
A trapezoid has a base length of 22 cm and a mid-segment length of 23 cm. What is the length of the other
base?
24 cm
26 cm
22 cm
28 cm
Answer:
22cm
Step-by-step explanation:
take 22 mulitply by 23=506 dived by 23= to 22
The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm. What is the volume of the pyramid?
Answer:
875 cm^3
Step-by-step explanation:
Here, we want to calculate the volume of the pyramid.
To do this, we need to calculate the area of the base and then multiply this by the height of the pyramid in question
Mathematically since the base is a square, formula for the base area would be ;
L^2 = 5^2 = 125 cm ^2
Now
using the height to get the volume , we have 125 * 7 = 875 cm^3
Answer:
58 1/3 cm³
Step-by-step explanation:
V = 5² * 7 / 3
V = 25 * 7 / 3
V = 58 cm³
help me I need this answer asap pls :(
Simplify: (3x2 − 8xy + y2) − (7x2 − 4xy − 5y2)
Answer:
[tex]-4x^{2} -4xy+6y^{2}[/tex]
Step-by-step explanation:
(3x2 − 8xy + y2) − (7x2 − 4xy − 5y2)
First, we remove the parenthesses. We can just remove the first parnthesses because there isn't any sign before them. When removing the second ones, we will change the sign of every term in it. It becomes:
[tex]3x^{2} -8xy+y^{2} -7x^{2} +4xy+5y^{2}[/tex]
Now we will combine the like terms. That means that we will subtract 7x2 from 3x2, add 4x to -8x etc.
[tex]-4x^{2} -4xy+6y^{2}[/tex]
Answer:
-4xy - 8x + 12y
Please answer it now in two minutes
Answer:
44
Step-by-step explanation:
Tan v=opp/adj 18s/19s=0.947
v=44 degrees (approximately)
angle T=180 - (90+44)
angle T= 46
A city park commission received a donation of playground equipment from a parents' organization. The area of the playground needs to be 256 square yards for the children to use it safely. The playground will be rectangular. The city will pay to have soft pavement made of recycled tires installed in the playground. In the first plan, one side 8 yards longer than the other side. Which equations model the possible dimensions of the playground? x( x + 8) = 256 ( x2) - 8 = 256 x2- 8 x - 256 = 0 ( x + 4)( x - 4) = 256 x( x - 8) = 256
Answer:
x(x+8) = 256
Step-by-step explanation:
hello
one side is x
the other one is 8 yards longer, so it is x + 8
so the surface is x(x+8) = 256
hope this helps
Answer:
x(x + 8) = 256
Step-by-step explanation:
The area of a rectangle can be calculated by doing length times width.
One side is 8 yards longer than the other. Let one side be represented by x. So, another side would be x + 8.
x * (x + 8) = 256
x(x + 8) = 256
x^2 + 8x = 256
Hope this helps!
Given that f(x).....question and answers in the pic
Answer:
2x sqrt(3)
Step-by-step explanation:
f(x) = 4x sqrt(3x+3) =4x sqrt(3 (x+1)) = 4x sqrt(3 ) * sqrt (x+1)
g(x) = 2 sqrt(x+1)
f(x) / g(x) = 4x sqrt(3 ) * sqrt (x+1)/ 2 sqrt(x+1)
Canceling like terms
= 4x sqrt(3) / 2
= 2x sqrt(3)
The price of a car was decreased by 10% to £729. What was the price before the decrease?
Answer:
810
Step-by-step explanation:
The original price of the car = 100%.
Price is decreased by 10%- price now equal 90% of original.
Let original price = x
.9x=729
x=810
Check:
810 - .1(810) = 729
True!
729 + 10%=801.90
is the answer
I will give the most brainiest to whoever answers first
Answer:
201.06
Step-by-step explanation:
A=4πr2=4·π·42≈201.06193
Please help
Determine the dependence between the quantities for the given graph.
Package Delivery
Charges
Total Cost ($)
→X
Weight of the Package
(in pounds)
Answer:
The total cost depends on the weight of the pacakge
how to do this question plz
Answer:
86.6 feet (3 s.f.)
Step-by-step explanation:
Please see attached picture.
tan60°= height of tower/ 50
Height of tower
= 50tan60°
= 50√3
= 86.6 ft (3 s.f.)
tanѲ= opp/ adj
What is the value of x?
Answer:
A
Step-by-step explanation:
If you input 20 for x & add it up you will get 60 degrees for both angles.
This is correct because vertical angles are always congruent
Answer:
x = 20
Step-by-step explanation:
The angles are vertical angles which means they are equal
x+40 = 3x
Subtract x from each side
x+40-x = 3x-x
40 = 2x
Divide by 2
40/2 = 2x/2
20 =x
Can someone please provide a step by step explanation on how to solve this equation? I have tried and am dumbfounded on how to solve it. (2^8 x 5^−5 x 19^0)^−2 x (5^-2 / 2^3)^4 x 2^28
Answer:
25
Step-by-step explanation:
Here is a picture of my work. I thought it would be too tedious to type it up. I hope this helps you!! Have a great rest of your day.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The radicals should be negatives of each other
Step-by-step explanation:
When we get solutions that are radicals, they have to be in the form
a+ sqrt(b) and a- sqrt(b)
His answer is a + sqrt(b) and -a - sqrt(b)
Please Help!! And Fast!! Will give Brainliest to the Best Answers (75 points) --- The historical society hired an artist to restore a stained glass window panel. After studying the original drawings, the artist knows that panel ABCD is square. He also knows that FG is a perpendicular bisector of BC and BC ≅ BE. However, in order to restore the panel to match its original specifications, he needs to know the measure of ∠BED. Given: ABCD is a square FG ⊥ BC BC ≅ BE Step 1: Draw EC on the diagram. Use the given information to explain how you know △EGC ≅ △EGB. Add the appropriate notation to the diagram. (5 points) Step 2: Building on the information from Step 1, use the spaces below to prove that m∠BEC = 60°. Add the appropriate notation to the diagram. (5 points; 4 points for the proof, 1 point for the diagram) Statements Reasons 1. △EGC ≅ △EGB 1. Given 2. EB ≅ EC 3. Given 4. EB ≅ EC ≅ BC 5. m∠BEC = 60° Step 3: Next, use the spaces below to prove the measure of ∠ECD = 30°. Add the appropriate notation to the diagram. (5 points; 4 points for the proof, 1 point for the diagram) Given: ABCD is a square FG ⊥ BC BC ≅ BE △ECG ≅ △EBG △BEC is equilateral m∠BEC = 60° Prove: m∠ECD = 30° Statements Reasons 1. △BEC is equilateral 2. m∠GCE = 60° 3. ABCD is a square 4. Substitution Step 4: Find m∠BED. Show your work and explain your reasoning. Add the appropriate notation to the diagram. (6 points; 4 points for showing work and explaining reasoning; 1 point for final answer; 1 point for diagram) Given: ABCD is a square FG ⊥ BC BC ≅ BE △ECG ≅ △EBG △BEC is equilateral m∠BEC = 60° △ECD is isosceles Find: m∠BED
Answer:
see the first attachment for the diagramsee the second attachmentsee the third attachmentm∠BED = 135°Step-by-step explanation:
1. We have added marks to the diagram indicating that FG is a perpendicular bisector of BC. These hash marks and angle indicator are shown in the first attachment.
__
2. The proof that ∆BCE is equilateral, so all its angles are 60°, is shown in the second attachment.
__
3. The proof that m∠ECD = 30° is shown in the second attachment.
__
4. We know △ECD is isosceles because CE ≅ CD. Since the angle at C is 30°, the base angles at D and E are (180° -30°)/2 = 75°.
The angle of interest, ∠BED, is the sum of angles DEC (75°) and CDB (60°). Hence, ...
m∠BED = 75° +60° = 135°
m∠BED = 135°
DICIÓN DE POLINOMIOS. Sumar los polinomios. (4x + 9) + (5x – 8) (x2 – 4x + 7) + (2x2 + 6x – 8) (5x3 + 4x2 – 7x -8) + (2x3 – 3x2 + 4x – 3) SUSTRACCIÓN DE POLINOMIOS. Restar los polinomios. (4x + 9) - (5x – 8)=-x+17 (x2 – 4x + 7) - (2x2 + 6x – 8)=-20x2-13x-72 (5x3 + 4x2 – 7x -8) - (2x3 – 3x2 + 4x – 3)20x2 +32x-45x-72 (7x3 – 10x2 – 11x + 9) - (4x3 – 4x2 – 10) (4x2+9)-(5x-8) VI. PRODUCTO DE POLINOMIOS. Multiplicar los polinomios. 5x(x – 4)
Answer:
1) 10x⁵+38x⁴-23x³-101x²- 96x+50
-x+17
(7x²-x-29)=0
3x³ -13x²-4x + 67=0
3x³ -6x²-11x+19
5x²- 20x
Step-by-step explanation:
Spanish
Agregar los polinomios:
(4x + 9) + (5x - 8) (x2 - 4x + 7) + (2x2 + 6x - 8) (5x3 + 4x2 - 7x -8) + (2x3 - 3x2 + 4x - 3)
Primero multiplicaremos los polinomios con los corchetes
= 4x + 9 + (5x³- 20x² + 35x - 16x² + 32x-56) + (10x⁵ + 8x⁴- 14x³- 16x² + 30x⁴ + 24x³- 42x²- 48x- 40x³- 32x²- 56x + 64) + (2x³- 42x² + 4x -3)
Ahora simplificaremos dentro de los corchetes agregando primero los términos similares
= 4x + 9 + (5x³- 36x² + 67x-56) + (10x⁵ + 38x⁴- 30x³- 90x²-104x + 64) + (2x³- 42x² + 4x-3)
Ahora suma o resta todos los términos similares y distintos
= 10x⁵ + 38x⁴- 30x³ + 5x³ + 2x³- 90x²- 36x²- 42x² + 67x²-104x + 4x + 4x + 64 + 9-3
= 10x⁵ + 38x⁴-23x³-101x²- 96x + 50 Ans
Restando los polinomios
(4x + 9) - (5x - 8) = - x + 17
-5x +8 + 4x + 9 = -x + 17
-x + 17 = -x + 17
(x2 - 4x + 7) - (2x2 + 6x - 8) = -20x2-13x-72
x²-2x²-4x-6x + 7 + 8 = 20x2-13x-72
-x²-10x + 15-20x² + 13x + 72 = 0
-21x² + 3x + 87 = 0
-3 (7x²-x-29) = 0
(7x²-x-29) = 0
(5x3 + 4x2 - 7x -8) - (2x3 - 3x2 + 4x - 3) = 20x2 + 32x-45x-72
5x³-2x³ + 4x² + 3x²-7x-4x-8 + 3 = 20x2 -7x-72
3x³ + 7x²-11x-5-20x² + 7x + 72 = 0
3x³ -13x²-4x + 67 = 0
(7x3 - 10x2 - 11x + 9) - (4x3 - 4x2 - 10)
Los signos negativos cambian cuando restamos
= 3x³ -6x²-11x + 19
Ahora multiplicando
5x (x-4) = 5x²- 20x
English
Adding the polynomials :
(4x + 9) + (5x – 8) (x2 – 4x + 7) + (2x2 + 6x – 8) (5x3 + 4x2 – 7x -8) + (2x3 – 3x2 + 4x – 3)
First we will multiply the polynomials with the brackets
= 4x+9 + ( 5x³- 20x²+ 35x - 16x²+ 32x-56) + (10x⁵ + 8x⁴- 14x³- 16x²+30x⁴+ 24x³- 42x²- 48x- 40x³- 32x²- 56x+ 64) + ( 2x³- 42x²+ 4x-3)
Now we will simplify within the brackets first adding the like terms
= 4x+9 + (5x³- 36x²+67x-56) + (10x⁵ +38x⁴- 30x³- 90x²-104x+64) + ( 2x³- 42x²+ 4x-3)
Now add or subtract all the like and unlike terms
= 10x⁵+38x⁴- 30x³+5x³+2x³- 90x²- 36x²- 42x²+67x²-104x+4x+4x+64+9-3
= 10x⁵+38x⁴-23x³-101x²- 96x+50 Ans
Subtracting the Polynomials
(4x + 9) - (5x – 8)=-x+17
-5x +8 +4x+9 = -x+17
-x+17=-x+17
(x2 – 4x + 7) - (2x2 + 6x – 8)= -20x2-13x-72
x²-2x²-4x-6x+7+8=20x2-13x-72
-x²-10x+ 15-20x²+13x+72=0
-21x²+3x+87=0
-3(7x²-x-29)=0
(7x²-x-29)=0
(5x3 + 4x2 – 7x -8) - (2x3 – 3x2 + 4x – 3)= 20x2 +32x-45x-72
5x³-2x³+4x²+3x²-7x-4x-8+3= 20x2 -7x-72
3x³+7x²-11x-5-20x²+7x+72=0
3x³ -13x²-4x + 67=0
(7x3 – 10x2 – 11x + 9) - (4x3 – 4x2 – 10)
The negative signs are changed when we subtract
= 3x³ -6x²-11x+19
Now Multiplying
5x(x-4) = 5x²- 20x
You have used 3 GB of data already this month, and every time you stream your favorite Netflix show you use up another 2 GB of data. Create an equation for the situation above.
Answer:
B(x) = 2x + 3
Step-by-step explanation:
Given:
Amount used = 3 GB (constant term)
Additional amount for each stream = 2 GB (slope)
Total bandwidth used for x streams
B(x) = 2x + 3
find the sum of these polynomials. (x^2 - 5x + 3) + (2x^2 - 3x - 7)
Answer:
[tex]3x^2 - 8x - 4[/tex]
Step-by-step explanation:
This is a short and simple question, but it's good!
We are given the expression [tex]\left(x^2-5x+3\right)+\left(2x^2-3x-7\right)[/tex], and simply being asked to combine like elements to simplify the expression. Take a look at the procedure below -
[tex]\left(x^2-5x+3\right)+\left(2x^2-3x-7\right)[/tex] - Remove ( ),
[tex]x^2-5x+3+2x^2-3x-7[/tex] - Add like elements,
[tex]3x^2-5x-3x+3-7,\\3x^2-8x+3-7,\\[/tex] - And further simplify to derive solution
[tex]Solution = 3x^2-8x-4[/tex]
Hope that helps!
Sam has some red and yellow cubes. She has 20 cubes in total. She has 8 more yellow cubes than red ones. How many red cubes does she have?Sam has some red and yellow cubes. She has 20 cubes in total. She has 8 more yellow cubes than red ones. How many red cubes does she have?
Answer:
6
Step-by-step explanation:
Let's call the number of red cubes that Sam has r, and the number of yellow cubes that she has y.
Since the sum of the number of cubes is 20:
r+y=20
Since she has 8 more yellow cubes than red ones:
y=r+8
You can now plug this back into the first equation:
r+(r+8)=20
2r+8=20
2r=12
r=6
Therefore, Sam has 6 red cubes. Hope this helps!
Hope this helps!
Answer:
6 red cubes
Step-by-step explanation:
Let statements: let y be the number of yellow cubes, and let r be the number of red cubes.
r+y=20
r+8=y
r+(r+8)=20
2r+8=20
2r=12
r=6
what is the multiplicative inverse of -4/3
Answer:
3/4
Step-by-step explanation:
Well,
multiplicative inverse means the opposite of -4/3 is 3/4.
HURRY I HAVE 30 MINUTES What are the x and y coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4?
Answer:
(-7, -1)
Step-by-step explanation:
The ratio is 1:4, the total is 1 + 5 = 5, so the partition is at 1/5 of the total length.
x2 - x1 = 25 - (-15) = 40
1/5 * 40 = 8
-15 + 8 = -7
x = -7
y2 - y1 = 15 - (-5) = 20
1/5 * 20 = 4
-5 + 4 = -1
y = -1
Answer: (-7, 1)