Answer: 28
Step-by-step explanation:
The discriminant in the quadratic equation which is
it is the part inside of the square root part
it is called the discriminant beause it tells you how many real or complex roots/solutions you will get
so b^2-4ac
convert to ax^2+bx+c=0 form
9x^2+2=10x
subtract 10x
9x^2-10x+2=0
ax^2+bx+c=0
a=9
b=-10
c=2
substitute
-10^2-4(9)(2)
100-36(2)
100-72
28
discriminant is 28
A fruit dessert contains rasberries and strawberries in the ratio 1:2. There are 400 g of strawberries in the dessert. a) How many grams of rasberries are there in the dessert? b) How much fruit is there altogether in the dessert?
Answer:
a) 200 g
b) 600 g
Step-by-step explanation:
Given
Raspberry : Strawberry Ratio = 1 : 2 Strawberry = 400 ga) Raspberry = half of strawberry as per ratio
400 g / 2 = 200 gb) Total of fruit
400 g + 200 g = 600 gJosh determined the solution set to the following inequality. His work is shown below.
|36 – 4p| > 16
1. (36 – 4p) > 16, –(36 – 4p) > 16
2. –4p > –20
p > 5
3. –36 + 4p > 16
4p > 52
p > 13
4. p > 5 or p > 13
Analyze Josh’s work. Is he correct? If not, what was his mistake?
Yes, he is correct.
No. In step 1 his second inequality is not correct.
No. When solving the first inequality in step 2, he did not flip the inequality sign when he divided by a negative.
No. When solving the second inequality in step 3, he did not flip the inequality sign when dividing by a positive.
Answer:
c
Step-by-step explanation:
Complete the following statement.
16/
= -8
16 / x = -8
First, let's divide both sides by x.
16 = -8x
Divide both sides by -8
-2 = x
16 / -2 = -8
Answer:
m = -2
Step-by-step explanation:
16 / m = -8
→ 16 = -8m
→ m = 16/-8
→ m = -2
The angle between the minute hand and hour hand of a clock is 90°. What time is it?
Answer:
3:00.
Step-by-step explanation:
if it exactly 90 degrees you are looking for, your answer would be 3:0:0.
Larry has a gift card worth $400 for a local entertainment store. Movies cost $20 each and newly released video games cost $50 each. In order
to use the gift card, Larry must purchase at least nine items. Which is a combination of movies and newly released video games that Larry could
purchase using his gift card?
10 movies and 5 video games
6 movies and 2 video games
4 movie and 8 video games
7 movies and 5 video games
Divide 5 3/4÷1 1/2. Answer: 3 5/6 4 1/4 7 1/4 8 5/8
Answer:
[tex]3\frac{5}{6}[/tex]
Step-by-step explanation:
Convert each mixed number into an improper fraction: 5 3/4 = 23/4, 1 1/2, 3/2Re-write it: 23/4 ÷ 3/223/4 ÷ 3/2 = 23/4 × 2/323/4 × 2/3 = 46/12Simplify: 46/12 = 23/623/6 = 3 5/6I hope this helps!
Find the equation of the line with slope = -2 and passing through (3,2). Write your equation in the form
y = mx +b.
Answer:
Step-by-step explanation:
y - 2 = -2(x - 3)
y - 2 = -2x + 6
y = -2x + 8
How do you write 0.000081 in scientific notation?
The steps below show the solution to the equation 3 (2-2) = 2(x - 3).
Order the reasons for the steps. 3(2-2) = 2(2-3) 3(2) + 3(-2) = 2 (x) +2 (-3) (Select) 32 - 6 = 22 - 6 [Select] 3x - 2 = -6+6 Select) x=0 Select
How many solutions does this equation have?
-4 + 6n
7n
no solution
one solution
infinitely many solutions
Answer:
One solution
Step-by-step explanation:
-4 + 6n = 7n
you will subtract (6n-6n) which will cancel each other out, than subtract (7n - 6n) which will be (1n)
So now you will have -4 = 1n
Now you will divide ( -4/1) which is -4
You don't have to divide -4 with 1, because its the same way as multiplying it.
Now you will have -4 = n
integrated math 2 chapter!help please i’m so lost :(
To solve this problem, you have to know that the measure of all the angles of a triangle is equal to 180 degrees.
Let's add each angle together and set them equal to 180 degrees.
180 degrees = 3x + 2x + 1 + x + 5
Combine like terms
180 degrees = 6x + 6
Subtract 6 from both sides
174 degrees = 6x
Divide both sides by 6
29 = x
We know that angle A = 3x = 3(29) = 87 degrees.
(9^3)^2 Hurrrrryyyyyyyyyyyyyy
Answer: 531441
Step-by-step explanation:
If x= -4 find 3x^2+2x
Answer:
40
Step-by-step explanation:
3(-4)^2 + 2(-4)
3(16) - 8
48-8
40
Solve 12 + 12a + 4a = -4
Answer:
a=-1
Step-by-step explanation:
we need to get a by itself
first combine like terms
12+16a=-4
now we need to get rid of the 12 so subtract it to other side
-16=16a
now divide 16 by -16 which gives you -1=a
Compare an angle having a measure of 120° With that of an angle whose measure is five pi over 6 rad explain your reasoning
Answer:
Step-by-step explanation:
et A=120°
and B=5Pi /6
Pi radians ---------> 180°
x<----------------------- 120°
so x =120 x Pi / 180 = 12 xPi / 18 = 2 Pi/3
so A = 2Pi / 3 radian
let 's compare A and B
we know that 5Pi /6 = 0.8 Pi and 2P/3= 0.6 Pi, 0.8>0.6,
finally 5Pi /6 > 2P/3
so B>A
Answer the question please
Multiply the radius times pi.
5. A circle has a diameter of 8.2 inches. Find its circumference?
the sum of two consecutive integers is 99. Find the value of the smaller integer. (Show work)
Answer:
49.5
Step-by-step explanation:
99/2=49.5
find the zero of the function p(x) = 1/4x-3
Answer:
x = 12
Step-by-step explanation:
Given
p(x) = [tex]\frac{1}{4}[/tex] x - 3
To find the zero let p(x) = 0, that is
[tex]\frac{1}{4}[/tex] x - 3 = 0 ( add 3 to both sides )
[tex]\frac{1}{4}[/tex] x = 3 ( multiply both sides by 4 )
x = 12 ← zero of p(x)
Which is the correct answer to this equation?
Answer:
3/8
Step-by-step explanation:
3/5 × 5/8
Multiply the numerators and denominators respectively
15/40
Simplify
3/8
If: AB= 2x + 6, AC = 51, and BC=6x +5, Find BC.
Answer:
Assuming A, B, and C are collinear and B is between A and C then BC = 35Step-by-step explanation:
Assuming A, B, and C are collinear and B is beetween A and C
AB + BC = AC
2x + 6 + 6x + 5 = 51
8x + 11 = 51
8x = 40
x = 5
BC = 6x+5 = 6×5 + 5 = 35
Keith wentfor drive in his new car he drove for 86.4 miles at a speed of 54 mph for how many hours did he drive
4 times a number is 16
Answer:
4 times 4 equals 16
Step-by-step explanation:
4 times 1= 4
4 times 2= 8
4 times 3= 12
4 times 4= 16
you add 4 after each result.
A full container that holds 96 fluid ounces developed a leak in the bottom. After 72 hours, all the liquid had emptied from the container. What was the average rate at which the liquid drained from the container, in fluid ounces per hour? and an yall explain the answer step by step please and thank you
Tina worked 5 1/3 hours on Saturday and 6 1/4 hours on Sunday. How many total hours did she work these two days?
Answer:
11 7/12
Step-by-step explanation:
5 1/3 + 6 1/4 = 11 7/12
QR has endpoints at Q(2,6) and R(0,2). Find the midpoint M of QR
Answer:
Step-by-step explanation:
Well, the midpoint formula is M=((x↓1 +x↓2)/2,(y↓1 +y↓2)/2 ). (not exponents, they tell you which x or y value).
If you plug in your 2 points, it becomes m=((2+0)/2,(6+2)/2).
When you add, it is m=(2/2, 8/2)
When simplified, it is m=(1,4)
PLEASE HELP ASAP!!!!!!!!!!!!!!!!
Answer:
ok hold on lemme go get something then ill edit my answer
Step-by-step explanation:
Natalie had a job after school. She worked 25 hours a week and got paid $6.25 an hour. How much money would she earn for two weeks of work?
Answer:
312.5
Step-by-step explanation:
25 x 2, for two weeks of work = 50
50 x 6.25 = 312.5
Answer:
She got paid $312.50 every two weeks,
Step-by-step explanation:
6.25 times 25 is 156.25. Multiple that by 2 and you get 312.50z
Somebody plz help ASAP (4.5+3 5/6)-0.6
Answer:
Step-by-step explanation:
(4.5+ (35/6))-0.6)
(31/3)-0.6
146/15.. about 9.74
Answer:
5
Step-by-step explanation:
Easy Dubs
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Answer:
....
Step-by-step explanation: