Answer:
[tex]p=25,\\q=12[/tex]
Step-by-step explanation:
In [tex](ax+b)(cx+d)=acx^2+bcx+dax+bd[/tex], notice the third term of the quadratic in standard form is formed entirely by [tex]b\cdot d[/tex].
Therefore, in [tex]12x^2 - 13x - 7175 = (x-p) (qx + 287)[/tex]:
[tex]-p\cdot287=-7175,\\-p=\frac{-7175}{287},\\p=\fbox{$25$}[/tex].
Now that we found [tex]p[/tex], we must find [tex]q[/tex]. The first term of the quadratic in standard form is formed entirely by [tex]ax\cdot cx[/tex]. Therefore:
[tex]1\cdot q=12, \\q=\fbox{$12$}[/tex].
For the expression 15-15z to have a negative value, what must be true about the value of z?
Choose the correct answer.
A. The value of z has to be 0.
B. The value of z has to be less than 1.
C. The value of z has to be greater than 1.
D.The value of z has to be negative.
Answer:
C. The value of z has to be greater than 1
Step-by-step explanation:
[tex]15 - 15z < 0 \\ - 15z < - 15 \\ 15z > 15 \\ z > 1[/tex]
Help! Find the measure of each angle indicated
Answer:
40 degrees
Step-by-step explanation:
Add.
-7+ (-1) =
need asap
Answer:
The answer is -8
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Answer:
a. < less than
b. > greater than
c. > greater than
d. > greater than
e. < less than
Plzzzzz give me Brainliest!
hi someone please help this is really urgent !!!
picture is attached pls help <3
Answer:
it can be answer that it could be posstive
how many solutions are there for
x-2y=6
3x-6y=18
Answer:
This is for solving x is x=6+2y and solving for y is y=-6-x/2
they both are the same
Step-by-step explanation:
Which of these steps will eliminate a variable in this system?
6x - 3y = 8
23 + 6y = 16
A. Multiply the first equation by 2. Then subtract the second equation
from the first
B. Multiply the second equation by 3. Then add the equations.
C. Multiply the second equation by 2. Then add the equations.
D. Multiply the second equation by 3. Then subtract the second
equation from the first.
Answer:Multiply the second equation by 3. Then subtract the second equation from the first.
Step-by-step explanation:
1. If the point (-5, -3) is translated 4 units to the right and 3 units down, what are the coordinates
of the new point? Write the algebraic expression that represents the translation.
Answer:
(-5 + 4, -3 - 3)
Step-by-step explanation:
"4 units to the right" requires ADDING 4 to the x-coordinate of (-5, -3):
(-5 + 4, -3).
"3 units down" requires SUBTRACTING 3 from the y-coordinate:
(-5 + 4, -3 - 3), or (if simplified) (-1, -6)
Abakery can make 100 pies in 2 hours.
How many hours will it take, if they
need to do 350 pies?
Answer:
7 hours
Step-by-step explanation:
The bakery could bake 100/2 = 50 pies per hour.
To make 350 pies, the bakery requires 350/50 = 7 hours.
The answer is therefore 7 hours.
Out of the 20 students in Mrs. Green's class, 13 have a pet. What percent of the students in Mrs. Green's class have a pet? The percent of students in Mrs. Green's class that have a pet is
Answer:
65 %
Step-by-step explanation:
13/20 = 65/100
Answer:
65%
Step-by-step explanation:
20/100 =1/5
5*13=65
Which expression is equivalent to the given expression? 10q + 5
Answer: i think the answer is b
Step-by-step explanation:
think u
Sorry about the handwriting I tried. But I need help
Carlos wants to rent a car for the particular car you on gentle rental charges 185 per week plus $0.25 per mile driven rental charges a flat fee of 275 per week what is the number of miles driven so that rented from dental rental cause carlos less than renting from rental giant
Answer:
The indifference point is 360 miles.
Step-by-step explanation:
Giving the following information:
Rental 1:
Total cost= 185 + 0.25*x
x= miles driven
Rental 2:
Total cost= $275
Now, we need to equal both formulas and isolate x:
185 + 0.25x = 275
0.25x = 90
x= 90/0.25
x= 360
The indifference point is 360 miles.
What is the solution of x-7= ir+14,
O A.
I=-6
B.
=6
OC.
I=8
OD.
r =12
Answer:
x=12
Step-by-step explanation:
put the x at one side and the numbers ar the other
5/2x-3/4x=14+7
10/4x-3/4x=21
7/4x=21
7x=84
x=12
Help as quick as possible plz :(
help please!
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year. No money was deposited into or withdrawn from the account.
How much money was in the account after 3 years?
Answer:
that is a whole lot of simple intrest
PLEASE HELPP
in the table, y is a linear function of x. what is the value of y when x=0
Answer:
3
Step-by-step explanation:
by the way i love your profile picture
PLEASE HELP I'M REALLY CONFUSED:(
-3 l x + 4 l equals -6. solve equation
a.) x = -2 only
b.) x = -2, x = 6
c.) x = -6, x = -2
d.) no solution
Solve 3^x + 6 = 3^4.
−2
4
6
10
Answer:
The answer is 4
Step-by-step explanation:
x
=
ln
(
75
)
ln
(
3
)
Decimal Form:
x
=
3.92994704
…
Answer: Take the logarithm of both sides of the equation to remove the variable from the exponent.
Exact Form:
x
=
ln
(
75
)
ln
(
3
)
Decimal Form:
x
=
3.92994704
…
Step-by-step explanation:
Choose the equation of the line through (4, -5) and perpendicular to 6x + 12y = 13.
A.y=-1/2x-3
B. y=1/2x-7
C. y=2x-13
D. None of these
Answer:
C.) y=2x-13
Step-by-step explanation:
Select the correct answer.
The slope of the function on the left is multiplied by p, and is added to the yIntercept to arrive at the function on the right. Which of the
following are the values for p and q?
A. p = -2 and q = -2
В. p=-2 and q = -4
C. P = 2 and q = -3
D. P = -2 and q = -3
Answer:
p = -2
q = -3
Step-by-step explanation:
Let us get the equation of the two graphs
General equation form is;
y = mx + b
m is slope and b is the y-intercept
For the first one;
y intercept is 1
So the equation is;
y = mx + 1
The x-intercept is -2
the value of y at the x-intercept is 0
0 = -2m + 1
1 = 2m
m = 1/2
so;
1/2 * p
p/2
q added to y-intercept;
q + 1
Let us get the equation of the second plot
y-intercept is -2
Equation is;
y = mx - 2
We can get slope using x-intercept
x-intercept is -2
0 = -2m - 2
2m = -2
m = -1
So;
p/2 = -1
p = 2 * -1 = -2
For the value of q;
q + 1 = -2
q = -2-1 = -3
In a group of 20 students, 8 have brown eyes. What percent of the students have brown eyes?
Answer:
40%
Step-by-step explanation:
I need help with this please!!
Answer:
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
Step-by-step explanation:
1. Expand by distributing sum groups.[tex]3x( {2x}^{2} + 5x - 1) - 3( {2x}^{2} + 5x - 1)[/tex]
2. Expand by distributing terms.
[tex] {6x}^{3} + {15x}^{2} - 3x - 3( {2x}^{2} + 5x - 1)[/tex]
3.Expand by distributing terms.
[tex] {6x}^{3} + {15x}^{2} - 3x - ( {6x}^{2} + 15x - 3)[/tex]
4. Remove parentheses.
[tex] {6x}^{3} + {15x}^{2} - 3x - {6x}^{2} - 15x + 3[/tex]
5. Collect like terms.
[tex] {6x}^{3} + {15x}^{2} - {6x}^{2} ) + ( - 3x - 15x) + 3[/tex]
6. Simplify.
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
Thus. the answer is,
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
A taxi driver records the time required to complete various and the distance for each trip. The best-given fit line by the equation y=0.467x + 0.417, where y represents the distance miles, and x represents the time for the trip in minutes. Estimate the distance for a trip that takes 20 minutes, show your reasoning
Using the line of best fit, it is found that the estimated distance for a trip that takes 20 minutes is of 9.757 miles.
What does the line of best fit gives?It gives the estimated distance in miles of a trip that takes x minutes, according to the following function?
y = 0.467x + 0.417.
In this problem, the trip took x = 20 minutes, hence the distance is given by:
y = 0.467 x 20 + 0.417 = 9.757 miles.
More can be learned about a line of best fit at https://brainly.com/question/17261411
#SPJ1
c = grocery store charges
Tax is 8% added to the charges.
Which expression shows the total charges with tax?
A. 1.8c
B. 1.08c
The total charge with tax will be 1.08c.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Grocery store charges = c
And, Tax is 8% added to the charges.
Now,
Since, Tax is 8% added to the charges.
Hence, The total charge with tax = c + 8% of c
= c + 8/100 × c
= c + 0.08c
= 1.08c
Thus, The total charge with tax = 1.08c.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
I’m doing triangles basically finding the sun of the sides
Answer:
funn what funn
Step-by-step explanation:
you soposde to be ban
help me! pleaseeeeeeeeeeeeeeeeee
Answer:
20 weeks
Step-by-step explanation:
If 20 kilograms of paper have already been recycled, and the goal is 40 kilograms, subtract the 20 kg from the 40 kg. You are left with a remaining 20 kg to recycle. If the new plan has the office recycling 1 kg a week, mulitply that by 20 kg to get 20 weeks.
It will take the office 20 weeks to reach the total 40 kg of recycled paper.
Can someone please help me on these?
The principal would like to assemble a committee of 8 students from the 20-member student council. How many different committees can be chosen?
Answer:
2
Step-by-step explanation:
If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means
there can only be 2.5 different committees because you can't subtract 3 from 8
Answer:
125790 different committees can be chosen.
Step-by-step explanation:
The principal would like to assemble a committee of 8 students from the 20-member student council.
We need to find How many different committees can be chosen?
Since the order is not important, so we use Combinations to solve the question.
The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]
In the question given: we have n = 20 and r = 8
Putting values and finding the number of ways committees can be chosen:
[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]
So, 125790 different committees can be chosen.
Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circles touch each other
Answer:
[tex]AB=2\sqrt{ab}[/tex]
Step-by-step explanation:
From figure,
[tex]OA=a, \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)[/tex]
In triangle [tex]OO'D[/tex]
[tex](OO')^2=(OD)^2+(O' D)^2[/tex]
[tex]\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}][/tex]
Hence, [tex]AB=2\sqrt{ab}[/tex]