Answer:
x = - 2, x = 9
Step-by-step explanation:
Given
g(x) = 2(x + 2)(x - 9)
To find the zeros let g(x) = 0, that is
2(x + 2)(x - 9) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
The zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.
What is the zeros and y-intercept of a function?Zeros is the Intersection points of the considered function's curve on input axis(usually represented by values of x)
y-intercept = Intersection points of the considered function's curve on output axis. On x-axis, value of y-coordinate is 0, On y-axis, value of x-coordinate is 0.
Thus, if function is y=f(x) then putting y = 0 gives zeros of the function.
And putting x = 0 gives the y-intercept of the function. (if any, for both cases).
Given the function as;
g(x) = 2(x + 2)(x - 9)
To find the zeros let g(x) = 0, that is;
2(x + 2)(x - 9) = 0
Then Equate each factor to zero and solve for x;
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
Hence, the zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.
Learn more about function here:
https://brainly.com/question/2253924
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Find the angle A if angle B is 60 degrees and angle A and angle B are complementary
Answer:
30 degrees
Step-by-step explanation:
Complimentary = 90 degrees
90 - 60 = 30 degrees
identify the expression as a numerical expression or a variable expression.For variable expression, name the variable 1×12
Answer:
o7 fy hk hpxi oyli ifuod pir8
The cost of a service call to fix a washing machine can be expressed by the linear function Y = 45x+35, where y represents th
total cost and x represents the number of hours it takes to fix the machine. What does the y-intercept represent?
Answer: brainliesss plsss
The cost of a service call to fix a washing machine can be expressed
Step-by-step explanation:
The cost of a service call to fix a washing machine can be expressed by the linear function y=45x+35 where y represents the total cost and x represents the number of hours it takes to fix the machine.
Answer:
whats the real answer?
Step-by-step explanation:
I WILL MARK YOU BRAINLIEST!!!!! What is the slope of the linear parent function?
Answer:
Step-by-step explanation:
The slope would be determined either by a graph or a equation
you didn't put it in the picture...
Have a great wonderful fantastic amazingggg dayyyy!!!
Answer: 176m^2
Step-by-step explanation:
The smaller rectangle is taking up space among the larger one. So in order to find the area of this shaded region, you need to subtract that smaller one from the larger one.
12 x 15 = 180
1 x 4 = 4
180 - 4 = 176m^2
Answer:
44
Step-by-step explanation:
To start you have to calculate the perimeter of the white box. 1 times 2 is 2. 4 times two is 8. 8 plus 2 is 10. Then you have to find the perimeter of the purple box. 12 times 2 is 24. 15 times 2 is 30. 24 plus 30 is 54. After that you have to subtract to get the final answer. 54 minus 10 in 44. 44 is the final answer.
I will give you brainliest!!!! Add the equations.
Answer:
7x = 9
Step-by-step explanation:
3x -2y = 15
4x+2y = -6
---------------------
7x + 0y = 9
7x = 9
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9. What is the original number? ( please hurry i need to finish my assesment )
A.) - 4
B.) - 30
C.) 4
D.) 30
Answer: -4
Step-by-step explanation:reverse the steps
3(x-7)= -9
3(x-7)/3= -9/3
x-7= -3
x= -3+7
x= -4
Dos motos, A y B, toman la salida en una carrera de 90 km. La moto A realiza el recorrido con una velocidad media inferior en 20 km/h a la de la moto B, con lo que llega a la meta 3 minutos después que B. Calcula la velocidad de cada moto.
Answer:
motorcycle A: 180 km/h
motorcycle B: 200 km/h
Step-by-step explanation:
To solve this question we need to write a system of equations for A and B, using the equation:
distance = speed * time
The speed of A is 20 less than the speed of B, so:
speedA = speedB - 20
And the time A traveled is 3 minutes (0.05 hours) more than B's time, so:
timeA = timeB + 0.05
Then, using the distance equation, we have that:
distanceB = speedB * timeB
90 = speedB * timeB
distanceA = speedA * timeA
90 = (speedB - 20) * (timeB + 0.05)
90 = speedB * timeB + 0.05 * speedB - 20*timeB - 1
90 = 90 + 0.05 * speedB - 20*timeB - 1
20*timeB = 0.05 * speedB - 1
timeB = (speedB - 20)/400
using this timeB in the distance equation, we have:
90 = speedB * (speedB - 20)/400
90 * 400 = speedB^2 - 20*speedB
speedB^2 - 20*speedB - 36000 = 0
Solving this quadratic equation, we have speedB = 200 km/h
And the speedA is:
speedA = speedB - 20 = 200 - 20 = 180 km/h
(05.09A LC)
A pair of parallel lines is cut by a transversal, as shown below:
A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is labeled as x. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as y.
Which of the following best represents the relationship between angles x and y?
A) x = y
B) x = 180°-y
C) y = 180°-6
D) x = 2y
Answer:
A
Step-by-step explanation:
Because these angles are alternate interior angles and because alternate interior angles of parallel lines are equal, x = y.
Someone please help me! I need this done ASAP
Answer: ill try to do #3 for you
A. money= dependent (depends on days)
days= independent
B. im guessing its this: m=250d
C. $250x 10 days= $2,500 he will need to save
also #4 is y-2x-2
if this is all correct could u mark my answer brainliest if you want to thanks!
Lianne drew a sphere with a radius of 7 in. She calculated its volume and wrote it below.
Answer:
1372
Step-by-step explanation:
4x7x7x7=1372:v=4/3 pi r^3
Therefore, 1372 is the value that should be multiplied by Pi in the numerator to correctly show the volume of the sphere.
please mark me brainliest :)
Can someone please help with this question.
Answer:
54cm³
Step-by-step explanation:
V=0.5*b*h
b = 3*9 = 27cm²
h=4cm
V=0.5*4*27=54cm³
Which expressions are equivalent to select three option. HURRY PLZ
Answer:
[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]
[tex] 2*2*y\sqrt{2*5*7*y} [/tex]
[tex] 4y\sqrt{70y} [/tex]
Step-by-step Explanation:
To find the expressions that are equivalent to
[tex] \sqrt{1,120y^{3} } [/tex]
let's simplify each of the options given to know if we would arrive at
[tex] \sqrt{1,120y^{3} } [/tex]
Option 1:
[tex] \sqrt{2*2*2*2*5*7*y*y} [/tex]
[tex] \sqrt{(2*2*2)*(2*5)*(7)*(y*y)} [/tex]
[tex] \sqrt{8*10*7*y^{2} } [/tex]
[tex] \sqrt{560y^{2} } [/tex]
Not equivalent to the given expression.
Option 2:
[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{5^{2} } * \sqrt{7^{2} } * \sqrt{y^{2} } * \sqrt{y^{2} } [/tex]
[tex] 2 * 2 * 2 * 5 * 7 * y * y [/tex]
[tex] 8*5*7*y*y [/tex]
[tex] 280y^{2} [/tex]
Not equivalent to the given expression.
Option 3:
[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]
[tex] 2 * 2 * \sqrt{2} * \sqrt{5} * \sqrt{7} * y * \sqrt{y} [/tex]
[tex] 2 * 2 * y * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y} [/tex]
[tex] 4y * \sqrt{2 * 5 * 7 * y} [/tex]
[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]
[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]
[tex] \sqrt{16 * 70 * y^{2} * y } [/tex]
[tex] \sqrt{1,120y^{3} } [/tex]
This option is equivalent.
Option 4:
[tex] 2*2*y\sqrt{2*5*7*y} [/tex]
[tex] 4y\sqrt{70y} [/tex]
[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]
[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]
[tex] \sqrt{1,120y^{3} } [/tex]
This option is equivalent to the given expression.
Option 5:
[tex] 4y\sqrt{70y} [/tex]
[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]
[tex] \sqrt{16y^{2} * 70 * y} [/tex]
[tex] \sqrt{16 * 70 * y^{2} * y} [/tex]
[tex] \sqrt{1,120y^{3} } [/tex]
Equivalent!
Options 3, 4 and 5 are the 3 expressions equivalent to
[tex] \sqrt{1,120y^{3} } [/tex]
Answer:C D E
Step-by-step explanation:
Just did the test
How many square roots is the area ?
PLEASE HELP WILL MARK BRAINLIEST
Answer:
Each pendant = 3.60
Step-by-step explanation:
3 necklaces made of beads and pendants
The total is 20.10
20.10 = 3( beads + pendant)
Distribute
20.10 = 3 beads + 3 pendant
The total for the beads is 9.30
Replace the 3 beads with 9.30
20.10 = 9.30+ 3 pendant
Subtract 9.30 from each side
20.10-9.30 = 9.30+ 3 pendant - 9.30
10.80 = 3 pendant
Divide each side by 3
10.80/3 = 3 pendant/3
3.60 = pendant
Which statement is true about quadrilateral QRST? Side QR has a length of 5 units. Side RS has a length of units. Side ST has a length of 6 units. Side TQ has a length of units.
Answer: side TQ 17 units
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Select all that apply.
Which of the following name a line in the drawings
Answer:
DB
It's the only line that is not a segment.
Step-by-step explanation:
What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings? Round to the nearest whole percent. 65% 70% 75% 80%
Answer:
the experimental probability is 70%
Step-by-step explanation:
PLEASE HELP, TIMEDThe table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they have.
What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings?
To the nearest whole percent, the experimental probability is
a. 65%.
b. 70%
c. 75%
d. 80%
We are given to find
the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings
we know that
probability = ( number of favourable outcomes)/ ( total possible outcomes)
a 10th-grade student chosen at random has at least one, but no more than two, siblings
so, there can be one or two siblings
so, total number of such students =18+10=28
Number of favourable outcomes =28
total number of students =4+18+10+8=40
so, total favourable outcomes =40
now, we can find probability
[tex]p=\frac{28}{40}\\\\p=\frac{28}{40}\times 100\\\\p=70[/tex]
So,
Therefore, the experimental probability is 70%
Answer:
answer is B
or 70%
LMN is a right triangle. True or False
Answer:
False
Step-by-step explanation:
Let us check using Pythagorean Theorem
[tex]c^2 = a^2 + b^2[/tex]
Where c is the hypotenuse (14), a is the base (13) and b is the perpendicular (5)
Putting in the above formula
[tex]14^2 = 13^2 + 5^2[/tex]
196 = 169+25
196 ≠ 194
So, It is not a right angled triangle
A car costs £15000. Work out the price after a 13% discount.
Answer:
13, 050
Step-by-step explanation:
15,000 by 13% = 1,950
15,000-1,950= 13, 050
Find the value of x
Answer:
The answer is 9
Step-by-step explanation:
56+(3x+7)=90 (In the picture it shows a 90 degree angle.)
Then, you can start solving the equation.
90-56=34
3x+7=34 (Subtract by 7)
3x=27 (Divide by 3 on both sides)
x=9
Which algebraic expression represents this mathematical statement?
75 less than a number
O A. 75-n
O B. n-75
O C. n: 75
O D. n+ 75
Answer:
B
Step-by-step explanation:
Subtraction mean how much less than a number
Find the volume of a cone. Either enter an exact answer in terms of or use 3.14 for pi and round your final answer to the nearest hundredth. The radius is 2 the height is 9
Answer:
12 units³
Step-by-step explanation:
The required formula is V = (1/3)πr²h, where r is the radius and h is the height. Here we get:
V = (1/3)π(2)²(9) = (1/3)π(9)(4) = 12 units³
Find Sn for the given arithmetic series.
Q1 = -40, d =-7, n=22
Answer:
[tex]S_n =[/tex] -2497
Step-by-step explanation:
We are given an arithmetic series with the following terms:
First term, [tex]Q_1[/tex] = -40
Common difference, d = -7
Number of terms, n = 22
To find out: Sum of n terms, where n is 22
We know that Sum of n terms in an arithmetic series is given as:
[tex]S_n =\dfrac{n}{2} (2Q_1+(n-1)d)[/tex]
Putting the values in the formula:
[tex]S_{22} = \dfrac{22}{2} (2 \times -40+(22-1)\times (-7))\\\Rightarrow S_{22} = 11 \times (-80-147)\\\Rightarrow S_{22} = 11 \times (-227)\\\Rightarrow S_{22} = -2497[/tex]
So, the sum of 22 terms is -2497.
Anyone mind helping out with my math?
Answer:
no
Step-by-step explanation:
all the numbers are multiples of each two.
For example,
2×2=4,
4×2=8,
8×2=16
So, the line would be linear.
// have a great day //
What is the value of x?
20
35
60
70
HURRY PLEASE!!!!
Answer: 20
Step-by-step explanation:
Since these are vertical angles, they are equal to each other.
x+40=3x
40=2x
x=20
part 2. Find the measure of the indicated angle to the nearest degree
Answer:
i hope this helps you
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
25
Step-by-step explanation:
So find the number that is a perfect square and 2 times the square root = 10
The number is 25.
Check:
[tex](x+5)^2=x^2+10x+25[/tex]
Answer:
The answer is 25.
Step-by-step explanation:
25 is a perfect square of 5. When x are added together, they form 10x.
[tex] {(x + 5)}^{2} [/tex]
[tex] {x}^{2} + 2(x)(5) + {5}^{2} [/tex]
[tex] {x}^{2} + 10x + 25[/tex]
slove for g : 9+3.5g=11-0.5g
Answer:
g= 1/2
Step-by-step explanation:
9+3.5g=11-0.5g
Add .5 g to each side
9+3.5g+.5g=11-0.5g+.5g
9+4g = 11
Subtract 9 from each side
9+4g-9 = 11-9
4g = 2
Divide by 4
4g/4 = 2/4
g= 1/2
Explain why a sample of 30 dentists from a large city taken to estimate the median income of all residents of that large city is not representative
Answer: Because all individuals in the sample have the same job, so the sample is biased.
Step-by-step explanation:
Ignoring the fact that 30 is a small sample for a large city, we already know that all the people in the sample has the same profession.
Now, we can expect that two dentists win have around the same income, but not all the residents in the city are dentists
A lot of them work in fast food, others may be lawyers, others may be freelancers.
We have a lot of jobs where the income does not coincide with the average income of a dentist, so with the sample of 30 dentists we are not actually representing all the other possible jobs that there are in the city.
If we want a sample that represents the income of all the residents, we should have a random sample (so the sample is not biased, like in this case).