Answer:
1
Step-by-step explanation:
(3x + 4)(px + q) = 12x^2 + ax - 20
3px^2 + 3qx + 4px + 4q = 12x^2 + ax - 20
3px^2 = 12x^2
p = 4
4q = -20
q = -5
px + q = 4x - 5
(3x + 4)(4x - 5) =
= 12x^2 - 15x + 16x - 20
= 12x^2 + x - 20
= 12x^2 + ax - 20
ax = x
a = 1
Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs $265 and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the total to $305.
Using proportions, it is found that the cost of each of the favors is of $5.
Proportions:This question is solved by proportions, using a rule of three.The addition of 8 favors increase the cost of the party by $40. What is the cost of one favor?The rule of three is:
8 favors - $40
1 favor - $x
Applying cross multiplication:
[tex]8x = 40[/tex]
[tex]x = \frac{40}{8}[/tex]
[tex]x = 5[/tex]
The cost of each of the favors is of $5.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Answer:
Step-by-step explanation:
Which of the following systems of inequalities has no solution?
Answer:
The third one
Step-by-step explanation:
y=>x+1
y=<x-1
removing y
x-1 => x+1
removing x
we have no solution
find the length of DE if D is between points C and E, CD = 6.5 centimeters, and CE = 13.8 centimeters.
Answer:
DE = 7.3 cm
Step-by-step explanation:
All you have to do is take the length of the full line (13.8 cm) and subtract it by the first part (6.5 cm). Doing this gets you the final length of DE with is 7.3 cm.
PLS HELP ASAP TY ILL GOVE BRAINLIEST
In a triangular prisim how many vertices does it have
Answer:
6
Step-by-step explanation:
HELP PLEASE I NEED HOW TO DO IT AND THE ANSWER FAST PLEASE
Answer:
4
Step-by-step explanation:
factor the numerator and denominator and cancel the common factors
Answer please
Can someone give me the answer
Answer:
sorry I don't know pls ask someone else
find the measure of each angle indicated.
Answer:
where are the angles...........
Start with the parent function y=|x|. List the transformations from the parent function to y=−|x+2|.
It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units
Explanation:
It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units
Look at the three graphs y=|x| in pink. y=-|x| in white and y=4-|x+2| in red
In Math, the word dilate means to make a figure
Answer:
False
Step-by-step explanation:
in math, dilate means changing the size of an object without changing its shape
Have a good day, sorry if I'm wrong:)
(if I am wrong, plz tell me<3)
prove cos a = 5/13 pls solve it and no link pls..........
Answer : The demonstration is below :)
Step-by-step explanation :
We use Pythagoras' theorem :
In the triangle ABC we have :AB² = AC² - BC² = 15² - 9² = 144 = 12²
In the triangle ABD we have :DB² = AD² - AB² = 13² - 12² = 5²
cos(a) = BD/AD = 5/13
helppppppppppppppppppppppppppppppp
Step-by-step explanation:
wjjdjrjdjdjdudidjdkdk pick the C
Answer:
D,
Step-by-step explanation:
Step 1: 47-12=27, 27+(-27)=0
step 2: 27/2=13.5, 2c/2=c
step 3, change 13.5 to fraction which is 13 1/2
(hope it's helpful :)
=
?
(5
4
⋅b
−10
)
−6
[tex](5^{4} *\frac{1}{b^{10} }) ^{-6}[/tex]
[tex](\frac{5^{4} }{b^{10} } )^{-6}[/tex]
[tex]\frac{b^{60} }{5^{24} }[/tex]
[tex]\sf 3x+44=50[/tex]
Answer:
2
Step-by-step explanation:
1) Subtract 44 from both sides of the equation
3x + 44 - 44 = 50 - 44
2) Simplify
a. Subtract the numbers
3x = 50 - 44
b. Subtract the numbers
3x = 6
3) Divide both sides of the equation by the same term
3x/3 = 6/3
4) Simplify
a. Cancel terms that are in both the numerator and denominator
x = 6/3
b. Divide the numbers
x = 2
How does value of a affect the
parabola?
The parabola appears wider when |a| >1, the parabola appears thinner
When a is positive, the parabola opens upwards, but when a is negative parabola opens downwards
Step-by-step explanation:
brainliest?
how to make h the subject in
m= r - h + 4d
9514 1404 393
Answer:
h = r +4d -m
Step-by-step explanation:
There are a couple of ways to go about this:
1) Solve it the way you would any 2-step linear equation.
Step 1:
Identify the terms that do not involve h on the side of the equation that has the h-term. Subtract those terms from both sides of the equation.
m -r -4d = -h
Step 2:
If the coefficient of h is not 1, divide both sides of the equation by that coefficient.
(m -r -4d)/(-1) = (-h)/(-1)
-m +r +4d = h
I like to have the leading coefficient be positive, so I might write this as ...
h = 4d +r -m
__
2) The only h term has a -1 coefficient, so it can be given a coefficient of +1 by adding h to both sides of the equation.
h +m = r +4d
There is an unwanted m term with the h term, so subtract that from both sides of the equation.
h = r +4d -m
Answer:
h = 4d -m + r
Step-by-step explanation:
m = r-h +4d
h = 4d -m + r
we know when the real root is r = h-4d
the m+h = r+4d is step 1
then simply h-m = 4d-m + r is step 2
then h = 4d -m + r
-x^4+2x^3+8x=0. solve by factoring
2.93114246
Step-by-step explanation:
Multi-step word problems are combination of fundamental which includes hidden questions. Here, you will be able to think deeply and improve your higher order thinking skills to solve the problems. Learning Task 2. Solve the given problems. Use the 4-steps inn solving word problems. A hidden questions should be incorporated in your answer Write your solution in your notebook. 1. Mr. Fernandez earns P 28.50 per hour as an office clerk. He earns 1.75 times as his regular rate for overtime. His regular work is 40 hours per week. He gets overtime pay if he works more than 40 hours. How much is his total earning if he works 45 hours in one week? 2. Lucy earns P 1,525.00 a week. She sets aside 15% of this for savings. How much does she save in a year? (Hint: 1 year = 52 weeks). 3. Mrs. Briones has a monthly pay of 50,000.00. The withholding tax de ducted from her monthly salary is P 5,275.75. What is the actual pay she receives in a year?
The solution to the word problems given are obtained by creating a mathematical expression from the questions given. Hence, the solutions are :
$1389.375$11895$5366911.)
Regular Earning per hour = $28.50Overtime earning = 1.75 × 28.50 = $49.875Regular work hour = 40 hoursTotal work hours = 45 hours
Total earning can be defined thus :
28.50(40) + 49.875(45 - 40)
1140 + 249.375
= $1389.375
2.)
Earning per week = $1525Percentage saving = 15%Yearly saving can be calculated thus :
Weekly saving = 15% × 1525 = $228.75
Amount saved per year = $228.75 × 52 = $11895
3.)
Monthly pay = $50000Withholding tax per month = P 5275.75Actual payment received per year can be calculated thus :
Actual weekly earning = $50000 - $5275.75 = $
Actual yearly earning = 52 × $44724.25 = $536691
Learn more : https://brainly.com/question/25257355
Which numbers are between -7 and 2 on a number line? Circle all that apply.
A. 2.1
B. -1
C. 0
D. -7.5
E. 3.5
F. -6.4
G. -8
Answer: See below
Step-by-step explanation:
A. 2.1 No (2.1>2)
B. -1 Yes
C. 0 Yes
D. -7.5 No (-7.5<-7)
E. 3.5 No (3.5>2)
F. -6.4 Yes
G. -8 No (-8<-7)
Can anyone help asap please
Step-by-step explanation:
a=32(alternate angles are equal)
b=a=32
c=17(all sides of rhombus are equal in length)
d=17(all sides of rhombus are equal in length)
e=90
f=90(diagonals intersect at right angles)
-
7.5 ft
Find the perimeter of the semicircular region
9+9+9+9+9+81+828+8282+92929=
dont use calculator otherwise I will report u
Answer:
102165
Step-by-step explanation:
92929+8282= 101211
101211 + 828 = 102039
102039 + 81 = 102120
102120 + (9+9+9+9+9) = 102120 + 45 = 102165
Answer:
102165 is your asnwer
Step-by-step explanation:
9+9+9+9+9+81+828+8282+92929=102165
How would I solve this? I believe it's two step, am I correct?
Answer:
[tex]b=0.8[/tex]
Step-by-step explanation:
1) Subtract 2.7 from both sides.
[tex]-5.3-2.7=-\frac{b}{0.1}[/tex]
2) Simplify -5.3 - 2.7 to 8.
[tex]-8=-\frac{b}{0.1}[/tex]
3) Multiply both sides by 0.1.
[tex]-8[/tex] × [tex]0.1=-b[/tex]
4) Simplify - 8 × 0.1 to - 0.8.
[tex]-0.8=-b[/tex]
5) Multiply both sides by -1.
[tex]0.8=b[/tex]
6) Switch sides.
[tex]b=0.8[/tex]
Answer:
b=0.8
Step-by-step explanation:
[tex]\frac{b}{0.1} = 8\\b= (0.1)(8)\\b=0.8[/tex]
Rewrite the following equation in slope-intercept form.7x − 15y = –18
Answer:
Y = 7/15x + 6/5
Step-by-step explanation:
7x - 15y = -18
7x = 15y - 18
7x + 18 = 15y
7/15x + 6/5 = y
Hope this helps! Pls give brainliest!
We can convert the line 7x − 15y = –18 into slope-intercept form (y = mx + c) by making y the subject of the equation
7x - 15y = - 18
7x + 18 = 15y
⁷/₁₅ x + ¹⁸/₁₅ = y
∴ the slope-intercept form of 7x − 15y = –18 is y = ⁷/₁₅ x + ⁶/₅
What is the value of x?
Enter your answer in the box.
Answer:
X = 80°
Step-by-step explanation:
The total number of degrees in a triangle is 180°.
70° + 30° = 100°
180° - 100° = 80°
Someone plz help me :(
Answer:
c
Step-by-step explanation:
you want to take your total amount of points and divide it by the number of games
answer in comments pls!
Answer:
a)
2x/3 = 8. First, multiply both sides by 3 to make 2x = 24. Then, divide both sides by 2: x = 12.
b)
3x/2 = 6. First, multiply both sides by 2 to make 3x = 12. Then, divide both sides by 3: x = 4.
Hope this helps!
Answer:
A.) x = 12
B.) x = 4
Step-by-step explanation:
A.) 2x/3 = 8
First let’s multiply both sides by three to get rid of our division equation,
2x/3 = 8
*3 *3
2x = 24
Now we divide both sides by 2 to single out our variable,
2x = 24
/2 /2
X=12
Let’s check our answer just to be sure this is correct, we do this by plugging in “12” for our x
2(12)/3 = 8
24/3 = 8
8 = 8
Now we know that x = 12 is true,
B.)3x/2 = 6
Again well will multiply both sides by 2 to remove our division equation,
3x/2 = 6
*2 *2
3x = 12
We divide both sides by 3 to remove our coefficient in front of the variable,
3x = 12
/3 /3
x=4
Let’s check our answer once again,
3x/2 = 6
3(4)/2 = 6
12/2 = 6
6 = 6
X = 4 is true
A square has an area of 9 yd? What is the length of each side?
Answer:
3 yards
Step-by-step explanation:
The area of a square is its length × width, where the length and width are the same:
length × width = 9
Since, the length and width are the same lets call them x
x × x = 9 → x² = 9
To find x, find the square root of 9:
x² = 9 → x = √9 → The square root of 9 is 3
Each side has a length of 3 yards
Please help.
Point M is the mid-point of PQ. The coordinates of P and M are given below.
M (5, -2) and P (11, -10)
Based on the information, what is the coordinates of Q?
Answer:
(-1,-6)
Step-by-step explanation:
(-1,-6)
Multiply coordinates of mid point by 2
take away from point P
Help stuck on question number 10
Answer:
y = 2/3x - 5 or in standard form 3y = 2x - 5
Step-by-step explanation:
Remember this fact: Parallel lines have the same slope
Step 1 Solve for y so that the equation is in the slope- intersect form
2x - 3y = 6
-3y = -2x + 6
-3y/-3 = -2x/-3 + 6/-3
y = 2/3 x -2
now we know the slope is 2/3 or
when the equation is in Standard form Ax + By = C you can use this fact: slope = - A/B so the slope = -2/-3 = 2/3
Remember the Parallel lines have the same slope
Find the y-intersect "b" use the slope = 2/3 and point (6, -1)
y = mx + b
-1 = 2/3(6) + b
-1 = 4 + b
-5 = b
Now write the equation of line that is parallel to the given line and passes through point (6, -1)
y = 2/3x - 5 or in standard form 3y = 2x - 5