Answer: 5.2387 and 5.2437
Step-by-step explanation:
By considering the discriminant, find the
value of the constant p such that the
following equation has equal/repeated
solutions.
4x2 + 8x + p = 0
Answer:
p = 4Step-by-step explanation:
A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.
The formula of a discriminant (Δ) of equation
[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac[/tex]
We have the equation
[tex]4x^2+8x+p=0\to a=4;\ b=8;\ c=p[/tex]
substitute
[tex]\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0[/tex]
subtract 64 from both sides
[tex]-16p=-64[/tex]
divide both sides by (-16)
[tex]\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4[/tex]
Luke solves this problem. He says that the difference is 416. 864 − 458 ________ Complete the explanation of the mistake Luke made. Luke regrouped 6 tens 4 ones as ? ten(s) 14 ones. He should have regrouped 6 tens 4 ones as ? ten(s) 14 ones. What is the correct difference? The correct difference is ___ .
Answer:
Luke regrouped 6 tens 4 ones as 6 tens 14 ones
He should have regrouped 6 tens 4 ones as 5 tens 14 ones
The correct difference is 406.
Step-by-step explanation:
First, we will complete the explanation,
For the difference,864 − 458, Luke got 416;
The explanation of the mistake Luke made is
Luke regrouped 6 tens 4 ones as 6 tens 14 ones
Such that, the difference of the ones (14 - 8) gives him 6 ones,
difference of the tens (6 - 5) gives him 1 ten
and difference of the hundreds ( 8 - 4) gives him 4 hundreds
Hence, his answer 416.
He should have regrouped 6 tens 4 ones as 5 tens 14 ones
So that, the difference of the ones (14 - 8) will give him 6 ones,
difference of the tens (5 - 5) will give him 0 ten
and difference of the hundreds (8 - 4) will give him 4 hundreds
Hence, he would have gotten 406.
The correct difference is 406.
A frozen dinner at a grocery store is purchased for $2.20 wholesale and is marked up by 40 percent. A customer wants to buy four frozen dinners. How much will the customer pay, including paying 9 percent sales tax? Round your answer to the nearest cent. $8.80 $10.07 $13.43 $14.39
Answer:
$13.43
Step-by-step explanation:
Given that :
Price of dinner wholesale = $2.20
Markup % = 40%
Hence, selling price = (100 + 40)% * $2.20
Selling price = 140% * $2.20
Selling price = 1.4 * $2. 20 = $3. 08
Hence, price of 4 frozen dinner :
$3. 08 * 4 = $12.32
9% sales tax:
9% * $12.32
0.09 * $12.32 = 1.1088
Total amount paid :
$(12.32 +. 1.1088)
= $13.4288
= $13.43
Answer:
The answer is $13.43
Step-by-step explanation:
I just answered that question, and got it right
find the area of the equilateral triangle.if its perimeter is 24cm
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
Nestor works at a garden center where he posts plants. It takes him 2 1/2 hours to pot 15 plants. How many plants can Nestor pot in 1 hour? * how many plants can he pot in 1 hour?
Answer:
Nestor can pot 6 plants in 1 hour.
Step-by-step explanation:
first lets convert 2 1/2 hours in mixed fraction form for better calculation
2 1/2 hours = (2*2 + 1)/2 = 5/2 hours
no of plants pot in 5/2 hours = 15
to find no. of plants pot in 1 hours lets
divide both side by 5/2
no of plants pot in 5/2/(5/2) hours = 15/(5/2) = 15*2/5 = 6
no. of plants pot in 1 hour = 6
Thus, Nestor can pot 6 plants in 1 hour.
a=x+y/2 Solve for y
I need this ASAP, please
Answer:
2A=
Step-by-step explanation:
Being in the same denominator makes the task much simpler.
Explanation:
A
=
X
+
Y
2
Simplify using the property
a
b
=
m
n
⇒
a
×
n
=
b
×
m
2
A
=
X
+
Y
2
A
−
X
=
Y
Hopefully this helps!
Answer:
the answer is y = 2a - 2x
Step-by-step explanation:
That's what I get when I solve for y
• Lawson already has $60 in his wallet but needs a total of at least $500 for his holiday. He gets
paid $30 per day for delivering newspapers. What is the least number of days he must work to
get enough money for his holiday?
Answer:
15
Step-by-step explanation:
500-60=440
440/30=14.66666667
simplify 14.66666667= 15
Question 5
(-8,000,000)° is 1.
True
O False
Plz help me
Thank you
Answer:
^^ so the formula is y=mx+b.
b is the y intercept, the slope is the mx part.
HI HELP ME PLEASEEE!’
We're given
(0, 144)
(1, 48)
(2, 16)
(3, 16/3)
[tex]f(x) = a*b^x\\144 = a*b^0\\144 = a\\[/tex]
now that we know a, we can find b
[tex]f(x) = 144*b^x\\48 = 144*b\\b = \frac{48}{144}\\b = \frac{1}{3}[/tex]
[tex]f(x) = 144*(\frac{1}{3})^x[/tex]
What is the slope of the line y = -2?
Answer:
0
Step-by-step explanation:
There is no x, therefore there is no slope.
calculate the distance travelled by a bus in 2 hrs which moves with a velocity of 22 m/s
Answer:
158400 meters
Step-by-step explanation:
multiply 3600 by 22 then multiply by 2
Select the smallest fraction from the following list of fractions.
2/3
1/4
1/10
5 1/12
3/8
2 1/2
Answer:
1/10
Step-by-step explanation:
A groundskeeper needs grass seed to cover a circular field. 150 feet in diameter. A store sells 50-pound bags of grass seed. One pound of grass
seed covers about 60 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field?
Answer:
6 bagsStep-by-step explanation:
Area of the field
A = πr²= πd²/4A = 3.14*150²/4 ≈ 17662 ft²Number of pounds
17662/60 = 294 poundsNumber of bags required
294/50 = 5.88 ≈ 6 bagsAnswer:
6
Step-by-step explanation:
HELP. What are the coordinates of -2.5, 2.5 when rotated 180 degrees
You are at an pear picking farm and they allow you to pick up to 50 pears a day. Today, you have already picked 14 pears. Which inequality below would represent how many pears you can still pick, p?
p − 14 ≤ 50
p + 14 ≥ 50
p − 14 ≥ 50
p + 14 ≤ 50
Answer:
p + 14 ≤ 50
Step-by-step explanation:
what you pick, p , plus the 14 you have, must be less than the 50 allowed.
Answer:
p + 14 ≤ 50
Step-by-step explanation:
Since you have already picked 14, you can pick p more. The sum of what you have already picked and what you will pick has to be 50 or less.
Write an expression for the perimeter of the triangle shown below: (4 points)
A triangle is shown with side lengths labeled 0.5x plus 9, 3x, and negative 3.4x minus 25.
A 6.9x − 16
B 6.9x + 16
C 0.1x − 16
D 0.1x + 16
Answer:
The expression of the perimeter of the triangle is 0.1x - 16 ⇒ C
Step-by-step explanation:
The perimeter of a triangle is the sum of the lengths of its sides
Let us solve the problem
∵ The lengths of the sides of a triangle are:
0.5x + 93x-3.4x - 25∵ The perimeter of the triangle = sum of lengths of its sides
∴ The perimeter = (0.5x + 9) + (3x) + (-3.4x - 25)
→ Add the like terms
∵ The perimeter = (0.5x + 3x - 3.4x) + (9 + -25)
→ Remember (+)(-) = (-)
∴ The perimeter = (3.5x - 3.4x) + (9 - 25)
∴ The perimeter = 0.1x + -16
∴ The perimeter = 0.1x - 16
The expression of the perimeter of the triangle is 0.1x - 16
Answer:
C.
Step-by-step explanation:
0.1x − 16
Convert 400 U.S. dollars to pesos if 1 peso is 1.208 U.S, dollars
Answer:
483.24
Step-by-step explanation:
If a polynomial function f(x) has roots 4 - 13i and 5, what must be a factor of f(x)?
(x + (13- 41)
(x - (13 + 41))
(x + (4 + 131)
O (x -(4+131)
Answer:
just took the test and it's D on edge
Step-by-step explanation:
The required factor of polynomial function f(x) is (x - 4 + 13i) . Option D
Polynomial function f(x) has roots 4 - 13i and 5.
What must be a factor of f(x) is to determined.
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Since the root of the equation is given 5, 4 - 13i.
Now the factors can be given as (x - a)(x - b) for the polynomial function.
Implies (x - 5) and (x - (4-13i))
(x - 5) and (x -4 + 13i) is the factor of the required polynomial function that has roots 4 - 13i and 5.
Thus, The required factor of polynomial function f(x) is (x - 4 + 13i) .
Learn more about polynomial function here:
https://brainly.com/question/12976257
#SPJ6
Approximate the value of each irrational expression. Use 22/7 as a rational approximation for pi.
2pi
5pi + 1
Pi to the second power
Answer:
pi=22/7
2pi=44/7
5pi+1=110/7+1=117/7
pi to the second power=22/7 times 22/7=484/49
Hope this helps, but I don't know.
Answer:
hi
Step-by-step explanation:
Just the last question thank you!!
Answer:
6 X 10^21
Step-by-step explanation:
true or false? the opposite and adjacent sides stay the same no matter which angle you are looking at.
Answer:
true
Step-by-step explanation:
PLEASEEE HELP TOMORROW IS THE LAST DAY TO THEN STUFF IN AND ITS REPORT CARDS
This is ezz homework pay attention in class
I think this is correct
(a+b) to the power of two a= -3 and b= 6.
Answer:
9
Step-by-step explanation:
-3+6 is 3
3*3 is 9
sashi weaves 25 baskets in 35 days how many days will it take for her to weave 110 baskets pls tell with steps
Answer:
Step-by-step explanation:
If Sashi weaves 25 baskets in 35 days, let's find out how long it takes her to weave 1 basket.
25 baskets = 35 days
To find how long one basket takes, divide 35 by 25
1 basket = 35/25 = 1.4 days
Next to find how many days it takes for her to weave 110, you just multiply by 110 since we know it takes her 1.4 days to weave 1 basket.
110 baskets = 1.4 times 110 = 154 days.
Anup bought 50 glasses
for Rs 1800
out of which 4 were broken. If
he sold the rest of the
glasses for Rs. 35 each. How much
profit or loss percentage did
he bear?
Step-by-step explanation:
50 glasses for Rs 1800
4 broken
sold each for Rs.35 each
50-4=46
35*46=1610
Evaluate the function.
g(x) = 3x2 – 2x + 5
Find f(2)
Answer:
13
Step-by-step explanation:
12-4+5 = 13
1
Mr. Baker calculated the area of 4 different styles of rugs. The areas of the 4 rugs are shown.
OS
MARULUGARES PARA
P
ALETICO
ZORLUFERITY
A = 50 m2
A5 m2
A = 2 m2
A = 15 m2
Whlch list shows the rugs in order from least area to greatest area?
A
Oval Rug, Square Rug, Circular Rug, Rectangular Rug
B Oval Rug, Square Rug, Rectangular Rug, Circular Rug
C Square Rug, Oval Rug, Rectangular Rug, Circular Rug
D
Circular Rug, Rectangular Rug, Square Rug, Oval Rug
Lines will not always be written initially in y=mx+b form. Sometimes you will need to do some simple
manipulation (typically one or two steps) to rearrange into this form.
Exercise #3: For each of the following equations, rearrange them into y = mx +b form and identify the slope
and y-intercept of the line.
(a) y +2x = 7
(b) 2x+3y = 12
(c) 4x -6y = 7
Answer:
a. y = -2x + 7
b. y = -⅔x + 4
c. y = ⅔x - 7/6
Plz mark brainliest:)
solve for t. 79t=14 write your answer here
Answer: im pretty sure its 14 divided by 79 soo 0.17?
if not im sorry
use your brain tho:)
hope this helps you