Answer:
[tex]a=3\text{ and } b=-17[/tex]
Step-by-step explanation:
We are given that:
[tex]5x^2+bx-12=(5x+a)(x-4)[/tex]
First, we can distribute the right-hand side:
[tex]5x(x-4)+a(x-4)[/tex]
Distribute:
[tex]=5x^2-20x+ax-4a[/tex]
Rewrite:
[tex]=5x^2+(-20+a)x-(4a)[/tex]
Since it is equivalent to the above expression, the coefficients of the variables must match. This means that:
[tex]-20+a=b\text{ and } 12=4a[/tex]
Solving for a in the second equation gives:
[tex]a=3[/tex]
Therefore:
[tex]b=-20+3=-17[/tex]
Complementary angles are two angles whose measures have a sum of 90 degrees. Angles x and y are complementary. The measure of angle x is 24 degrees greater than the measure of angle y. Determine the measures of angles x and y.
Evaluate the expression for d = 4, f = –3, and g = –12.
fg − d + f = ?
d= fgf+g-F
Step-by-step explanation:
F = fg f + g - d solve the equation for d
Solve for d means we need to get 'd' alone
To get 'd' alone we need to move all the remaining terms to the other side
F = fg f + g - d
First we subtract fgf on both sides
F - fg f = g - d
Now we subtract g on both sides
F - fg f - g = - d
now divide all the term by -1, so sign changes for all terms
-F + fgf +g = d
so d= fgf+g-F
Answer:29
Step-by-step explanation:
[-3 ✖ -12] ➖ 4 ➕ 3
♒36 ➖ 7
♒ 29.✔
I hope i helped you
How to solve this question?
Answer:
total volumA.4ft³ is your answere
h=d=1.5ft
r=1.5/2=0.75ft
total volume=volume of (cylinder + hemisphere)
=πr²h+2/3πr³=πr²(h+2/3r)=22/7×0.75²(1.5+2/3 ×0.75)=3.53=4ft³
Choose the set of measurements listed in order from least to greatest.
A. 5 g, 5 g, 5 mg
B. 5 g, 5 mg, 5 kg
C. 5 mg, 5 g, 5 kg
D. 5 mg, 5 kg, 5 g
Answer:
5mg, 5g,5kg.........................
please help me on this im so overwhelmed right now
Pls help due in 15 mins
A shoe store buys a pair of boots from a supplier for b dollars. The store's manager decides on a markup of 35%. Write TWO expressions for the retail price of a pair of boots.
Answer:
x is the retail price
b/x 35/100 and cross multiply?
or 100b/35x
(this is the only thing i can think of)
Step-by-step explanation:
helpppppppppppppppppppppppp
Answer:
1.
Step-by-step explanation:
The answer is 9.25h - 7.50
Simplify each product.
–3c(8 + 2c)
A. -24c - 6c^2
B. -24c + 6c^2
C. -24c - 6c
D. -24c + 6c
Answer:
Its A
Step-by-step explanation:
okay so im in a math zoom and to leave i need to finish a math problem.
its 'like units'
1 2/5 + 1/3
he wants the new problem and answer
Answer:
1 11/15
Step-by-step explanation:
2/5x3=6/15
1/3x5=5/15
add them both up and you get 1 11/15
Answer:
1 11/15
Step-by-step explanation:
you convert 2/5 and 1/3 denominators till they are the same, which is 15
then you have to times the numerator by how much you times the denominator
times 2/5 numerator by 3, and 1/3 numerator by 5
then you add them together which makes 1 11/15
At the IGA, a 5 lb bag of apples costs $5.85. What is the unit rate for the 5 lb bag?
Olivia Stout
5 of 6Items
Yolanda created a scatter plot of the relationship between the number of times she visited different friends each month, y, and the distance in miles each friend lives from her home, x. She calculated the equation of the trend line to be y=−3.5x+20. Use this information to predict the number of times in one month Yolanda would visit a friend who lives 4 miles from her home
Answer:Step-by-step explanation:
For ellieb6437
and
Wolfgirl
LETS GOOOO
My question: How do you win a board game w/ your siblings? lol
Answer:
you Cheat and out smart them
Step-by-step explanation:
Answer:
cheat
Step-by-step explanation:
makes the most sense
Describe the intersection of each plane and solid.
Answer:
triangle=3
circle=1
rectangle=2
Step-by-step explanation:
The intersection of the plane and the solid has
1. Circular cross section.
2. Rectangular cross section.
3. Triangular cross section.
1. Since the base is circular and the plane through the solid is parallel to it, the base is also round.
As a result, the intersection of the plane and the solid has a Circular cross section.
2. Since the plane through the solid is parallel to it, the side is rectangle is also round.
As a result, the intersection of the plane and the solid has a Rectangular cross section.
3. The intersection of the plane and the solid has a Triangular cross section.
Learn more about Solid and plane here"
https://brainly.com/question/1609720
#SPJ2
Please help me with the question on the bottom one please
Answer:
13 = y
Step-by-step explanation:
21 + 3 = y + 11
(21+3=24)
24 = y + 11
-11 -11
13 = y
The cost to rent a boat can be modeled by the equation C = 18h + 35 where C is the total cost in dollars and h is the number of hours in which the boat is rented.
What is the rate of change?
Answer:
18
Step-by-step explanation:
Slope, rate of change, unit rate, speed are synonyms
y = mx + b
Slope "m" is a rate of change.
~~~~~~~~~~
C = 18h + 35
m = 18
The rate of change from the given equation is 18 dollars per hour
Given :
The cost to rent a boat can be modeled by the equation C = 18h + 35
Where h is the number of hours and 'C' is the total cost
Rate of change represents the cost to rent a boat for one hour .
From the given equation , [tex]C=18h+35[/tex]
35 is the initial cost and 18 is the cost to rent a boat every hour
The rate of change is cost to rent a boat for one hour that is our slope.
Slope is 18
The rate of change is 18 dollars per hour
Learn more : brainly.com/question/15976923
I’m soooo sorry but can y’all plzzz help me just a couple more times!
Answer:
26/35
Step-by-step explanation:
Each fraction is increasing by 1/35. Therefore, 25/35 + 1/35 = 26/35.
Answer:
[tex]\frac{26}{35}[/tex]
Step-by-step explanation:
We have four fractions and asked to find the next fraction in the sequence.
The four fractions are increasing one by one by first glance, therefore to find the answer we need to add 1/25 to the last value seen.
What is 1 + 25?
26
[tex]\frac{26}{35}[/tex]
Show all work and use complete sentences to answer the following question.
The graph shows the calories burned for hiking and downhill skiing.
Find the slope of each line. Interpret each slope.
I NEED HELP-
Answer:
skiing- 8/1
hiking- 6/1
Step-by-step explanation:
if you have any more questions then comment on this post
Question:
32 + 4/7w
w = -1/2
Answer:
31 5/7 is the answer
Can someone plz help me!!
Answer:
104
Step-by-step explanation:
as we increase 2 in each number
Answer:
104
Step-by-step explanation:
Are you in kindergarten
Write an explanation of how to subtract two linear expressions.
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 25% real fruit juice and Drink B contains 20% real fruit juice. Company made 280 liters of fruity drinks with 61 liters of real fruit juice. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.
Answer:
x = amount of real fruit juice used to make Drink A
y = amount of real fruit juice used to make Drink B
Step-by-step explanation:
Let
x = amount of real fruit juice used to make Drink A
y = amount of real fruit juice used to make Drink B
1. The company used 100.5 liters of real fruit juice, then
2. Drink A:
x = amount of real fruit juice used
percentage of real fruit juice
Then
5x = amount of drink A produced
Drink B:
y = amount of real fruit juice used
percentage of real fruit juice
Then
amount of drink B produced
The company makes 30 more liters of Drink A than liters of Drink B, so
The system of two equations i
Answer:
A = liters of drink A at 10% real fruit juice
B = liters of drink B at 30% real fruit juice
A + B = 360
0.1*A + .3*B = 78 liters
Step-by-step explanation:
A = liters of drink A at 10% real fruit juice
B = liters of drink B at 30% real fruit juice
A + B = 360
0.1*A + .3*B = 78 liters
Then you can solve.
A = 360 - B
36 - 0.1B + 0.3 B = 78
0.2B = 42
B = 210 liters
A = 150 liters
i hope this helps!
hello there I need help! no rush! 938-(87+301 )
This table shows the results of drawing a playing card from a bag without looking.
Using these results, what is the probability that a diamond will be drawn next?
the cards are hearts which have 8 dimand has 4 the clover has 3 and the last one has 5
Answer:
40%
Step-by-step explanation:
8+4+3+5=20
20×5=100
So then multiply each number by 5 to find the percentage.
8×5=40
What is the equation of the line pictured?
HELP ASAP!
posted Feb 19 4:13 pm
Martin has four comic books and four novels. He wants to choose one comic book and one novel randomly. How many outcomes are in this sample space?
Answer:
10 outcomes. that is the answer to your question.
please help me on the question on the bottom
PLEASE HELP ME ON THE BOTTOM PART PLEASE
Answer: If I am correct it should be.. 65
Step-by-step explanation:
Which describes the cross section of the cube that passes through the vertices A, B, and C shown below?
A cube. The cross section is a triangle.
a rectangle that is not a square
a square
a triangle with three equal sides
a triangle with only two equal sides
Answer:
A triangle with three equal sides
Step-by-step explanation:
pls do this I only need smart people