For zeroes i.e for value(s) of q and s, the given equations must be equal to 0, so let's start with first equation and then 2nd equation ;
[tex]{:\implies \quad \sf 6q^{2}-17q+12=0}[/tex]
[tex]{:\implies \quad \sf 6q^{2}-9q-8q+12=0}[/tex]
[tex]{:\implies \quad \sf 3q(2q-3)-4(2q-3)=0}[/tex]
[tex]{:\implies \quad \sf (3q-4)(2q-3)=0}[/tex]
[tex]{:\implies \quad \sf Either\:\:3q-4=0\:\:\:or\:\:\: 2q-3=0}[/tex]
[tex]{:\implies \quad \sf Either\:\:3q=4\:\:\:or\:\:\:2q=3}[/tex]
[tex]{:\implies \quad \bf q=\dfrac{3}{2},\dfrac43}[/tex]
Now, turning to the second equation ;
[tex]{:\implies \quad \sf 8s^{2}+2s-15=0}[/tex]
[tex]{:\implies \quad \sf 8s^{2}+12s-10s-15=0}[/tex]
[tex]{:\implies \quad \sf 4s(2s+3)-5(2s+3)=0}[/tex]
[tex]{:\implies \quad \sf (4s-5)(2s+3)=0}[/tex]
[tex]{:\implies \quad \sf Either\:\:4s-5=0\:\:\:or\:\:\: 2s+3=0}[/tex]
[tex]{:\implies \quad \sf Either\:\:4s=5\:\:\:or\:\:\:2s=-3}[/tex]
[tex]{:\implies \quad \bf s=\dfrac{5}{4},-\dfrac32}[/tex]
Answer:
Below in bold.
Step-by-step explanation:
I am assuming you want to factor these expressions.
6q^2 - 17q + 12
We need 2 numbers whose product is (6*12) = 72 and whose sum is -17.
Theses are -9 and -8 so we write:
= 6q^2 - 9q - 8q + 12
= 3q(2q - 3) - 4(2q - 3)
= (3q - 4)(2q - 3)
If you want the solution of this expression = zero they are q = 4/3, 3/2.
8s^2 + 2s - 15
8 * -15 = -120. -120 = -2 * 2 * 2 * 3 * 5 = +12 * -10 ( to give the +2s)
= 8s^2 + 12s - 10s - 15
= 4s(2s + 3) - 5(2s + 3)
= (4s - 5)(2s + 3)
If you want the solution of this expression = zero they are s = 5/4, -3/2.
Point D has coordinates (8,3). Point G has coordinates (-4,3). What is the length of segment DG?
6 units
12 units
14 units
4 units
Answer: 12 units
Step-by-step explanation:
If you graph them on a graph you count the units between them and that is your anwser.
Answer:
12 units
Step-by-step explanation:
calculate DG using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2 -y_{1} } )^2[/tex]
with (x₁, y₁ ) = D (8, 3 ) and (x₂, y₂ ) = G (- 4, 3 )
DG = [tex]\sqrt{(-4-8)^2+(3-3))^2}[/tex]
= [tex]\sqrt{(-12)^2+0^2}[/tex]
= [tex]\sqrt{144+0}[/tex]
= [tex]\sqrt{144}[/tex]
= 12
In this triangle, a = 10 cm, b = 24 cm, and c = 26 cm.
What is the area of this triangle?
312 cm²
240 cm²
130 cm²
120 cm²
120 cm^3
The equation for a triangle: 1/2bh.
1/2(a)(b)
1/2(10)(24)
1/2(240)
120 cm^3
Lacie bought a $20 shirt that was marked down 30%. what did she pay after tax of 6% was added to the price of the shirt?
Answer:
14.84
Step-by-step explanation:
20*(6%+1)*(1-30%)
20*(0.06+1)*1-0.3)
20*1.06*0.7
14.84
please please someone help
i put a picture
Check the picture below.
please help me! I will make whoever answers brainiest! please help it's for a test!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation to the value of a that makes the equation true.
1
0
3
4
2
6(2a − a + 1) = 24
4 + 3(a + 2) = 16
3a − 2a − 4 = 0
2a + 3(a + 1) = 8
Answer:
6(2a-a+1)=24 =(3)
4+3(a+2)=16 =(2)
3a-2a-4=0 =(4)
2a+3(a+1)=8 =(1)
Step-by-step explanation:
6(2a-a+1) =24
6(2a-a+1) =2412a-6a+6 =24
6(2a-a+1) =2412a-6a+6 =246a =24-6
6(2a-a+1) =2412a-6a+6 =246a =24-66a= 18
6a/6= 18/6
a = 3
4+3(a+2)=16
4+3a+6=16
3a+10=16
3a=16-10
3a=6
3a/3=6/3
a=2
3a-2a-4=0
a-4=0
a=0+4
a=4
2a+3(a+1)=8
2a+3a+3=8
5a+3=8
5a=8-3
5a=5
5a/5=5/5
a=1
1/2(x-1/6)+2/3=5/6+1/3*(1/2-3x)
Answer:
X= 5/18
Step-by-step explanation:
Find in the inverse algebraically y=2(x-3)3+1
Answer:
Step-by-step explanation:
Y=(X-3) 3+1
1. Flip the way the equation is facing
1+3 (3-x)=Y
2. Add or Subtract
4 (3-x)=Y
3. Do the parentheses
4(-3x)=Y
4. Solve for X ( Undo addition or Subtraction)
(4-4)=0
What ever you do to one side you have to do to the other!
Y-4
Your New Equation Looks Like
-3x= -4 + Y
5. Undo Multiplication
-3x/3= x
What ever you do to one side you have to do to the other!
-4/3 y/3
6. Divide Y
y/3= 3
7. New equation
X= -4/3 + 3
8. Plug in X to the Original Equation
Y=2(-4/3+3) -3 +(3+1)
9. Solve accordingly
Find the area of the shaded figure. To do so, subtract the area of the smaller
square from the area of the larger square,
Square
(x²-3)
x meters
meters
The area of the shaded region is
(Simplify your answer. Do not factor)
Answer:
x⁴ - 8x² + 9
Step-by-step explanation:
The Area of the smallest square is A1 = x . x = x²
The Area of the second square is A2 = ( x² - 3 )(x² - 3)
A2 = x⁴ - 3x² - 3x² + 9
A2 = x⁴ - 6x² + 9
The Area of the Shaded shape is A2 - A1
x⁴ - 6x² + 9 - x²
x⁴ - 8x² + 9
what is the correct answer to this?
Answer:
1.4 meters
Step-by-step explanation:
Given,
Volume of rectangular prism ( V ) = 18.144 cubic meters
Width ( w ) = 2.7 m
Length ( l ) = 4.8 m
To find : d
Here, d is Height ( h ).
Formula : -
V = whl
18.144 = 2.7 x 4.8 x d
18.144 = 12.96 x d
d = 18.144 / 12.96
d = 1.4 meters
[tex] \huge\fbox\green{ANSWER} [/tex]
[tex]v = l \times w \times h[/tex]
[tex]18.144 {m}^{3} = 4.8m \times 2.7m \times d[/tex]
[tex]18.144 {m}^{3} = 12.96 \times d[/tex]
[tex] \frac{18.144 {m}^{3} }{12.96 {m}^{2} } = \frac{12.96 {m}^{2} }{12.96 {m}^{2} } \times d[/tex]
[tex]1.4m = d[/tex]
. In the diagram of collinear points, if AB = 42, AC = 65, then BC = _
Answer:
Bc 23
Step-by-step explanation:
because you muply 42 to 65 and u will get that the same answer
-3.28+4.4-9.7
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: A group of 28 people bought tickets to a museum. The total cost for the tickets was $315. What was the cost of each ticket?
Answer:
he correct answer is D. 12 adult tickets, 4 child ticket
Step-by-step explanation:
Apples cost $1.10 per pound. Darius bought x pounds of apples for a total cost of $2.75.
If p
=
1
2
, q
=
−
1
3
and r
=
1
5
, evaluate the following expression:
30
p
q
r
(
p
+
q
+
r
)
(
p
+
q
)
(
p
+
r
)
Answer:
26535600
Step-by-step explanation:
This took so much work to get into a format I could read hahaha!
I hope it helps!
30 x 12 x -13 x 15(12+-13+15)(12+-13)(12+15) = 26535600
PLEASE HELP MEEEEE!!!
20 POINTS + BRAINLYEST!!!!
(no links please)
Two functions, function A and function B, are shown below:
Function A
x y
7 21
8 24
9 27
Function B
the picture.
Which statement best compares the rate of change of the two functions? (1 point)
The rate of change of both functions is 2.
The rate of change of both functions is 3.
The rate of change of function A is greater than the rate of change of function B.
The rate of change of function B is greater than the rate of change of function A.
Answer:
The rate of change of function A is greater than the rate of change of function B
Step-by-step explanation:
[tex]\sf rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]
Function A
For every increase of 1 unit in x-values, the y-values increase by 3 units.
[tex]\sf rate \ of \ change=\dfrac{3}{1}=3[/tex]
Function B
For every increase of 1 unit in x-values, the y-values increase by 2 units.
[tex]\sf rate \ of \ change=\dfrac{2}{1}=2[/tex]
As 3 > 2, the rate of change of function A is greater than the rate of change of function B
The distance between the two points pictured is d = use the distance formula to find n. d = startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot n =
The distance between the two points pictured will be [tex]\sqrt{61}[/tex].
What is the distance between the two points?The length of the line segment connecting two places is the distance between them.
The distance between two places is always positive, and equal-length segments are referred to as congruent segments.
The given coordinate in the problem is;
(x₁,y₁)= (-3,-2)
(x₂,y₂)=(2,4)
The distance between the two points is found as;
[tex]\rm d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ \rm d= \sqrt{(2-(-3))^2+(4-(-2)^)^2} \\\\ \rm d=\sqrt{5^2+6^2} \\\\ \rm d=\sqrt{61}[/tex]
Hence the distance between the two points pictured will be [tex]\sqrt{61}[/tex].
To learn more about the distance between the two points refer to;
https://brainly.com/question/16410393
Answer:
n=61
Step-by-step explanation:
pls help me. Will give 30 points and brainliest if you tell me how. I need 2 and 4. PLS HURRY
Ms. Lynch drove her new car
50000000 fast (12 miles in 6 mins.)
that she nearly scared Ms. Allen to
death; who was riding in the car.
What is her speed in miles per hour?
Answer:
120 miles/hour
Step-by-step explanation:
6 x 10= 60 min
12 x 10= 120 miles
Answer:
Definitely 120 miles per hour.
Step-by-step explanation:
First, if she drove 50,000,000 fast, you need to do 6 minutes x 10 because 10 can go into 50,000,000. So, yes, it's 60. But that isn't right... it's too short. Try the next one.
How about we do the miles. 12 miles x 10 will get you your answer; 120.
I honestly don't know what I'm doing. It most likely isn't 120, but I did the math, and it was hard.
Pamela is 6 years younger than Jiri. The sum of their ages is 78 . What is Jiri's age?
What is the slope of the line that has equation. y -4.33=1.67(x+7.95)
Help? im confused plss!
Find the area of the regular polygon with the given radius or apothem
Answer:
50 cm²
Step-by-step explanation:
Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:
A = 1/2(d1)(d2)
where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...
A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon
__
Alternate solution
If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...
A = 1/2r²sin(α)
where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...
A = n/2·r²·sin(360°/n)
For n = 4 and r = 5 cm, the area is ...
A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square
_____
Additional comment
The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:
r = a·sec(180°/n)
Another formula uses the apothem directly:
A = n·a²·tan(180°/n)
Help please!! Thank you!! :)
Let m = x^2+3
Which equation is equivalent to (x^2+3)^2+7x^2+21=-10 in terms of m?
A. m^2+7m+10=0
B. m^2-7m+10=0
C. m^2+7m+31=0
D. m^2-7m+31=0
Answer:
A. m^2+7m+10=0
Step-by-step explanation:
This is a problem in pattern matching, and in substituting a variable for a pattern.
(x^2+3)^2 +7x^2 +21 = -10 . . . . . . given
(x^2 +3)^2 +7(x^2 +3) = -10 . . . . . factor the last two terms
m^2 +7m = -10 . . . . . . . . . . . . subsitute m for x^2 +3
m^2 +7m +10 = 0 . . . . . . . . add 10 to both sides; matches A
solve pls brainliest
Answer:
No, no, no, yes, yes.
Step-by-step explanation:
A integer is a whole number, 1, 2, 3, etc.
Please Help! Will Give Brainlest!
Answer:
[tex] \frac{ - \sqrt{3} }{2} [/tex]
Step-by-step explanation:
First, we find the coterminal angle of
[tex] \frac{ - 8\pi}{3} [/tex]
to do that, first, convert this into degrees.
[tex] \frac{ - 8\pi}{3} \times \frac{180}{\pi} = - 480[/tex]
Know, continously add 360 until we get our first positve number,
[tex] - 480 + 360 = - 120[/tex]
[tex] - 120 + 360 = 240[/tex]
So our coterminal angle is 240.
We need to know sin (240), the y value of sin (240) will gives us our answer.
That answer is
[tex] \frac{ - \sqrt{3} }{2} [/tex]
Two boats leave a marina at the same time. The first boat travels 6 knots at a bearing of N39, and the second boat travels 4 knots at a bearing of S87°W. 2 degrees * E a. How far apart are the boats at the end of 2 hr? b. What is the bearing from the first boat to the second boat at that time?
For the first boat, 6 knots at a bearing of N39, and for the second boat 4 knots at a bearing of S87°W. the distance of boats at the end of 2 hr and the bearing of 1st to 2nd both is mathematically given as
V'=22.93KmB=132°What is the distance b/w the boats at the end of 2 hr and the bearing of 1st to 2nd boat?Generally, the Relative speed is mathematically given as
V=\sqrt{4^2+6^2+2(4)(6)cos(48)}
V=\sqrt{52+48(0.669)}
X=9.17Knots
Hence, distance b/w the boats
V'=9.17Knots*2
V'=18.34
V'=22.93Km
In conclusion, the bearing of 1st to 2nd boa ist
B=39+90+(90-87)
B=132°
Read more about Speed
https://brainly.com/question/4931057
Which ratio below is equivalent to the ratio 7 : 350?
Answer:
7/350 7 to 350
Step-by-step explanation:
there are 3 ways to write a ratio
:
to
/
Write the following as an inequality
X is greater than -9 and less than 9
use x only once in your inequality.
Answer:
-9 < x < 9
Step-by-step explanation: "<" is the symbol for "less than". -9 is less than x, or x is greater than -9. x is less than 9.
Find yolanda’s finance charge in november using the previous balance method, the adjusted balance method, and the daily balance method. among those three possible finance charges, what is the value of the one which is neither lowest nor highest? a. $12.53 b. $11.59 c. $12.05 d. $10.91
Answer:
i believe its B
Step-by-step explanation:
Answer:
The Answer is B. $11.59
Step-by-step explanation:
Edge 2022
Marcus works as a salesman at a car dealership. He is paid a base salary of $1,137.89 each month, and he receives a commission of $212.69 for each vehicle he sells. If last month Marcus earned $9,220.11, how many cars did he sell last month?
Answer:
He sold 38 cars
Step-by-step explanation:
first we subtract his base salary from how much he made, 9,220.11 - 1,137.80 = 8,082.22
then we divide that by the commission he gets from selling 1 car which is 212.29, the equation looks like: 8,082.22 / 212.69 and that equals 38 which means he sold 38 cars.
What are the coordinates of the vertices of the image?
Rotate shape A 90° clockwise with centre of rotation (0,0).
Will mark brainliest
Step-by-step explanation:
(2,4)===(4,-2)
(4,3)===(3,-4)
(2,3)===(3,-2)