Answer:
it should be p=14,x=16,12
The roots of the equations are 2 and 6.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
Given that, the quadratic equation is x² - (4 + p)x + 12= 0.
Let the roots of the quadratic equation be a and b.
If the coefficient of x² is 1 in a quadratic equation, then the coefficient of x is equal to the sum of the roots and the constant term is equal to the product of the roots.
Therefore,
a + b = -(4 + p) (1)
ab = 12 (2)
Given that, one root is three times the other, so, let a = 3b and substitute it into equation (2)
3b(b) = 12
3b² = 12
b² = 4
b = 2
Therefore, the value of a is:
a= 3(2)
a = 6
Hence, the roots of the equations are 2 and 6.
Learn more about the quadratic equations:
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Find the value of x and then length of each diagonal.
AC = 8x - 4
BD = 6x + 10
7. Mao counts by fives to 30. Alana counts by tens
to 40. Who will say more numbers? Explain.
Answer:
Mao will say more numbers.
Step-by-step explanation:
Think about it like this, 5x6=30 Mao will be saying 6 numbers
10x4=40... Alana will be saying 4 numbers.
WHO ANSWERS I WILL MARK BRAINLIEST
Jarvis works in a garage for $9 an hour.
If he works on Saturday he is paid time and a half.
If he works on Sunday he is paid time and three quarters.
Last weekend Jarvis worked for FIVE hours on Saturday and TWO hours on Sunday.
Hours paid on Saturday ( Mixed fraction ) =
Hours paid on Sunday ( Mixed fraction ) =
Total hours paid ( Mixed fraction ) =
How much was Jarvis paid last weekend altogether?
Ms. Parker wants to buy 10 books. Six of them cost $12.50 each, and the rest cost $26.35
each. If she only has $150, how much more does Ms. Parker need to buy all 10 books?
Answer:
180.4
Step-by-step explanation:
6 times 12.50 is 75
and the rest is 4 and 4 times 26.35 is 105.4
Answer 105.4 + 75 = 180.4
find the force needed to lift 3000n weight using a machine with a mechanical of 15
Answer:
20N
Step-by-step explanation:
Force=3000N/15
F=600/3
F=20N
PLS I NEED HELP!!!! If the base of a rectangle is 9 cm and the area is 112.3 cm2, what is the height of the rectangle? Round your answer to the nearest tenth.
Answer:
12.5
Step-by-step explanation:
112.3 / 9 = 12.47777......
What is the value of g(2)
Answer:
Its value is 9.8 m/s2
Answer:
9.8 m/s2
Step-by-step explanation:
z – yx + x; use x = 2, y=-3, and z=4
Step-by-step explanation:
z-yx+x
4-(-3•2) +2
4-(-6)+2
4+6+2
12
Answer:
12
Step-by-step explanation:
4-(-3)•2+2
4+3•2+2
4+6+2
10+2
12
00.8 is 10 times greater as
Please help me as soon as possible!
Answer:
9.53 AU
Step-by-step explanation:
Multiply
8.12.30.3
Please help me
Answer:
8640
Step-by-step explanation:
6 + blank = 4 what is the blank part
Answer:
-10 also I POSTED A MATH PROBLEM PLS HELP IF U CAN!! :)
What is the value of each expression 12 x 1/8 in simplest form?
Answer:
1 1/2
Step-by-step explanation:
12 x 1/8 =
12/1 x 1/8 =
12/8 =
3/2 =
1 1/2 (1.5)
*At Step #3, 4 goes into both numbers to get 3/2. But, The simplest form is 1 1/2 (1.5)
Determine what comes next in the given pattern 41,39,37,35,33
Answer:
31
Step-by-step explanation:
you're just subtracting by two's as the pattern goes on.
In the given pattern 41,39,37,35,33,the next number in the pattern is 31. To determine what comes next in the given pattern,let's observe the sequence:
41, 39, 37, 35, 33
The pattern is a decreasing sequence where each number is subtracted by 2 to get the next number.
So, to find the next number, subtract 2 from the last number in the sequence: 33 - 2 = 31
The next number in the pattern is 31.
To know more about pattern:
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4325 as a product of its prime factors
Answer:
5*5*173=4325
Step-by-step explanation:
please mark brainiest hope it works out for you
Answer:
5²×173
Step-by-step explanation:
4325 as a product of its prime factors
5²×173
4 + (8 + 4)3power -5
Answer:
i dont know what you want but exact form is 983/243
decimal form is 4.04526748
mixed form 4 [tex]\frac{11}{243}[/tex]
Step-by-step explanation:
A serving size in a party pack of M&Ms is
32 pieces of candy. If the bag contains
38.2 serving sizes of candy, how many
M&Ms are in the party size bag? .
Answer:
38.2×32=1222.4
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A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday,
number of packs
of black pens sold:
number of packs of red pens sold: number of packs of green pens sold =7:3:4
A total of 212 pens were sold.
Work out the number of green pens sold.
Answer:96 green pens
7x ,3x,4x
assume that the black pens amd red pens and green pens are sold respictely
7x.2+3x.5+4x.6=212
53x=212
x=4
number of green pens sold
4x.6=4x4x6=96
please help (there’s a picture)
10 push-ups in 2 days= ?
Answer:20
Step-by-step explanation:
Cuz 10+10=20
Suppose you deposit $200 in a savings account that earns 4% per year. Find the simple interest earned in 2 years. Then find the total of principal plus interest.
9514 1404 393
Answer:
interest: $16account total: $216Step-by-step explanation:
The amount of interest is given by the simple interest formula:
I = Prt . . . . where P is the amount earning interest, r is the annual rate, t is the number of years
I = $200·0.04·2 = $16.00
The simple interest earned in 2 years is $16.00.
__
The total of principal and interest is found by adding those values:
$200.00 +16.00 = $216.00
The total amount is $216.00.
how to solve y=-10x+3?
9514 1404 393
Answer:
top down: 13, 3, -7, -47
Step-by-step explanation:
You evaluate any equation by putting the numbers in place of the corresponding variables and following the rules of arithmetic.
For x = -1, put -1 where x is and do the math.
y = -10(-1) +3 = 10 +3 = 13
For x = 0, put 0 where x is and do the math.
y = -10(0) +3 = 0 +3 = 3
For x = 1, put 1 where x is and do the math.
y = -10(1) +3 = -10 +3 = -7
For x = 5, put 5 where x is and do the math.
y = -10(5) +3 = -50 +3 = -47
The table values are 13, 3, -7, -47.
5. Suppose a set of math test scores is normally distributed with a mean of 100 (you do not need to know the standard deviation to answer this question, but you may find it helpful to plug in a standard deviation of your choice). If you randomly select a sample of scores from this distribution, which of the following probabilities is higher? Explain your answer.
a. The probability of the sample mean falling between 100 and 105 with a sample of 25 scores.
b. The probability of the sample mean falling between 100 and 105 with a sample of 36 scores.
Answer:
A
Step-by-step explanation:
It is more likely because there is less of a chance of an outlier. Hope this helps.
bill and Andy were racing to see who could run the farthest in 5 minutes bill ran 5/8 of a mile and Andy ran 3/4 of a mile how much farther did andy run than bil
time to help me plz Jackie's mother has a son .How would the son related to Jackie.
Answer:
brother
Step-by-step explanation:
In 8 hours, Keiko reads 24 chapters of a book.
What is her rate in chapters per hour?
Answer:
3 chapters per hour
Step-by-step explanation:
24/8 = 3 chapters per hour
please help w my khan acc
Answer:
y=2x+4
Step-by-step explanation:
When X is at 0 Y is 4 so you add four at the end and then you backtrack it and get 2x+4.
Hope it helps
solve pls brainliest
Answer:
x = 45
Step-by-step explanation:
JKL = MKL + JKM
80 = 35 + x
x = 80 - 35
x = 45
I hope I helped you^_^
What is the GCF of (4+16) using the distributive property?
Answer:
20
Step-by-step explanation:
The GCF of 4 and 16 is 4.
[tex] \frac{4}{4} = 1 [/tex]
[tex] \frac{16}{4} = 4 [/tex]
We can rewrite this using the distribute property like so:
[tex] 4(1 + 4)[/tex]
Using the distribute property:
[tex] = 4 + 16[/tex]
[tex] = 20[/tex]
We can also add inside the parentheses and multiply we'll get the same answer.
[tex] = 4(5) \\= 20[/tex]
What is the next number in the sequence? (4, 11, 25, 53, 109, ?)
Answer:
221
Step-by-step explanation:
109×2+3=221, pattern is x2+3
--
4×2+3=11
11×2+3=25
25×2+3=53
53×2+3=109