Answer:
Two real roots
Step-by-step explanation:
The portion of the quadratic formula that determines the number of roots is
b² - 4ac
If it's positve there are two real roots
If it's zero there is one real root
If it's negative there are no real roots
------------------------------
b² - 4ac = 7² - 4(3)(-8)
b² - 4ac = 49 + 96
b² - 4ac = 145
Two real roots since 145 is positive
The quadratic equation has two real zeroes
What is quadratic equations?
The polynomial equations of degree two in one variable of type f(x) = ax2 + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f. (x). The roots of the quadratic equation are the values of x that fulfill the equation (, ).
It is a given that the quadratic equation has two roots. Roots might have either a real or imaginary nature.
What is quadratic formlua?
D=b²-4ac
x=(-b±√(b²-4ac))/2a
y = 3x² + 7x - 8
On comparing with ax²+bx+c, we get
a=3, b=7 and c=-8
Using Quadratic formula
D=b²-4ac
=7²+4x3x8
=49+96
=145>0
Hence it has real zeroes
Learn more about Quadratic equation,
https://brainly.com/question/776122
#SPJ2
speeeeeeeeeeeddddddddddddddddd (might give brainlest
Answer:
6
Step-by-step explanation:
6 times 6 is 36 and the formula for area is
lxw(Length times width)
Jffkdjdjdjdkskkskskskskakskkdkdkskdk
Answer:
the anser is d
Step-by-step explanation:
Answer:
b) 7x² - 12x√14 + 72
Step-by-step explanation:
Let's solve the problem,
→ (x√7 - 3√8)(x√7 - 3√8)
→ (x√7 - 3√8)²
→ 7x² - 12x√14 + 72
Hence, option (b) is correct.
Find x. Round your answer to the nearest tenth of a degree.
A
27
18
to
B
С
x = _(blank)
A window in the shape of a rectangle as shown below has a width of 2X +1 and the length of X squared minus 5X -7
Answer;
14x-12
Explanation:
Since we are not asked what to fine, we can find the perimeter of the rectangle
Perimeter = 2(L+W)
Perimeter = 2(2x+1+5x-7)
Perimeter = 2(7x - 6)
Perimeter = 14x - 12
Hence the perimeter of the rectangle is 14x-12
The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin.
what is the probability of getting a number less than 3 and tails
A. 1/12
B. 1/6
C.1/4
D. 1/3
Answer:
c is the correct answer but i am not sure
There were 3 chihuahuas at the dog park last Saturday, along with 9 other dogs. Considering this data, how many of the next 20 dogs to arrive at the park next Saturday should you expect to be chihuahuas?
Answer:
5
Step-by-step explanation:
Since there are 3 chihuahuas out of 12 dogs IN TOTAL (which includes the 9 other dogs), the ratio is 1:4, or 1/4.
Assuming this ratio is consistent, (1/4)*20 is 5.
In conclusion, you can expect there to be 5 chihuahuas out of the next 20 dogs to arrive at the park.
Hope it helped, and have a beautiful day/night! <3
The sum of two numbers is 32. One number is 10 more than the other. Find the numbers
Answer:
12 and 10
Step-by-step explanation:
Answer:
11 and 21
Step-by-step explanation:
Let the first number equal x. If the first number, the second number is ten more, and can represented as x + 10. Now, the sum is 32, so we can add the two numbers to get 32:
x + x + 10 = 32
2x + 10 = 32
2x = 22
x = 11
If the first number 11, the second number is 10 more, and therefore is 21.
What is the solution 5x-15=-25
Answer:
x= -2
Step-by-step explanation:
MARK AS BRAINLIEST!!
Answer: -2
Step-by-step explanation: -2 times 5 is -10. -10-15=-25
Use the integers that are closest to the number in the middle. √32
Answer:
4√2
Step-by-step explanation:
√32 = √(16 * 2) = 4√2
192=6000(.02(8/5-4Y)+.08y)
solve for y
Given:
The equation is:
[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]
To find:
The value of y.
Solution:
We have,
[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]
On simplification, we get
[tex]192=6000\left(0.02\times 1.6-0.02\times 4y+0.08y\right)[/tex]
[tex]192=6000\left(0.032-0.08y+0.08y\right)[/tex]
[tex]192=6000\left(0.032\right)[/tex]
[tex]192=192[/tex]
Since LHS=RHS and the equation is free from the variable y, therefore the given equation is true for all real values of y.
Hence, all real values of y are solutions.
What is the value of x
Hey there! :)
Please keep in mind that SOH-CAH-TOA is a life saver when it comes to trig! Where:
- SOH = Sin: opposite over hypotenuse
- CAH = Cos: adjacent over hypotenuse
- TOA = Tan: opposite over adjacent
The question is asking us to find the value of x given the following located in the image provided.
Because we've been given 51°, we'll use this angle to determine whether we're using Sin, Cos, or Tan.
We must now look at the other given variables in this triangle - specifically where they are located.
While looking at our given angle (51°), we see that x is located on the opposite side of 51° while 8 is located adjacent (also known as next) to 51°.
Because of this, we now know that we'll be using Tan (opposite over adjacent) to find the value of x because our given values are opposite and adjacent to 51°.
We now set up our equation to find the value of x:
tan (51°) = [tex]\frac{x}{8}[/tex] ⇒ we set it up this way because x is opposite of 51° & 8 is adjacent to it.
Now, we must remove all fractions. We can do this by multiplying both sides by 8.
8 × tan (51°) = [tex]\frac{x}{8}[/tex] × 8
Now, we simplify.
8 × tan (51°) = x
Now, we plug this into our calculator. Make sure your calculator is in degrees mode since we are using degrees, not radians.
8 × 1.2348 = x
Simplify.
x = 9.9
Therefore, angle x is 9.9
Hope this helped! :)
(Image attached for visual reference)
give 5 each examples of acute angle
and obtuse angle
Answer:
acute (<90°): 2° 35° 47° 78° 89.5°
obtuse (>90°): 91° 180° 290° 110° 359°
Which of the following is equivalent to 24/80
Answer:
0.3
Step-by-step explanation:
can someone help me find x
Answer:
x = 5
Step-by-step explanation:
Since this shape is a quadrilateral, the sum of the interior angles is 360.
Equation:
81 + 20x - 16 + 15x + 30 + 16x + 10 = 360
51x + 105 = 360
51x = 360 - 105
51x = 255
x = 5
What is the surface area of the cylinder with height 7 ft and radius 3 ft? Round your answer to the nearest thousandth.
Two bottles of honey are compared,one costs R89,99 for 530g and the other. R59,99 for 375g.Which one is cheaper
Which choice is equivalent to the fraction below? Hint: Rationalize the
denominator and simplify.
Answer:
Option D. 4√2
Step-by-step explanation:
8/√2
The above expression can be simplified as follow:
8/√2
Rationalise the denominator i.e multiply the numerator and the demoninator by √2. This is illustrated below:
8/√2 × (√2/√2)
8 × √2 / √2 × √2
8√2 / 2
4√2
Thus, option D gives the correct answer to the question.
Nicholas performs an experiment in which he pulls a marble from a bag. In his experiment, he finds that he is twice as likely to pull a red marble as a blue marble. If Nicholas pulls 10 red marbles, how many blue marbles does he pull?
Answer:
Nicholas pulls 5 blue marbles from the bag.
Step-by-step explanation:
Since Nicholas performs an experiment in which he pulls a marble from a bag, and in his experiment, he finds that he is twice as likely to pull a red marble as a blue marble, to determine, if Nicholas pulls 10 red marbles, how many blue marbles does he pull, the following calculation must be performed:
10/2 = X
5 = X
Therefore, Nicholas pulls 5 blue marbles from the bag.
Which equation has a graph that lies entirely above the x-axis?
Answer: c
Step-by-step explanation:
y=(x-7)^2+7
Please help me I would appreciate it a lot
Answer:
Juan can consume 2.22 calories per day
Step-by-step explanation:
[tex]68.820 \div 31 \: day \: month \: \\ \\ = 2.22[/tex]
A combined total of $53,000 is invested in to two bonds that pay 2% and 8.5% simple interest. The annual interest is %3,335. How much is invested in each bond?
Are the events independent??
Best answer gets brainliest!!!
Answer:
C
Step-by-step explanation:
two events are independent if you can mulitply them to find their intersection
.5*.36= .18 which is obviously not .2
therefore they're not independent because they're not eqaul
Help with 19 please
Answer:
Plot a point at (0,5) the plot a point at (1,8) (2,11) etc...
Step-by-step explanation:
2+3
For what value of a does
9
(3)"
?
-
73
3
1
Answer:
3
Step-by-step explanation:
3 × 3 = 9
( 3 + 3 + 3 = 9 )
______________________________________
Simplify (5m - 4)2 using the square of a binomial formula.
A) 5m2 - 20m - 4
B) 25m2 – 40m + 16
C) 25m2 + 40m + 16
D) 5m2 – 40m + 4
Answer:
[tex]25m^{2} -40m+16[/tex]
Step-by-step explanation:
Rewrite (5m−4)^2 as (5m−4)(5m−4).
Expand (5m−4)(5m−4) using the FOIL Method.
[tex]25m^{2} -40m+16[/tex]
la
You spend some time in the kitchen making sure the recipe is just right for
the cooking show. You spend 2 3/4 hours baking and half of an hour
cleaning up the kitchen. How much time were you in the kitchen?
PLEASE HELP IM IN MY FINALS I WILL GIVE BRANLIEST Find the slope of the line through each pair of points. (-8, 15),(-1,9)
Help please I don’t know what to do and I need to pass this class to be able to graduate
9514 1404 393
Answer:
3 line segmentstriangleStep-by-step explanation:
What to do:
read the questiondo what it says__
When you plot 3 points, A, B, C, you can join them 3 ways: AB, AC, BC. The three line segments make a triangle
Sara drove 96 miles on 3.2 gallons of gas. How many miles can Sara drive on 12.5 gallons of gas
Answer:
375 miles
Step-by-step explanation:
Create a proportion where x is the number of miles she can drive on 12.5 gallons of gas:
[tex]\frac{96}{3.2}[/tex] = [tex]\frac{x}{12.5}[/tex]
Cross multiply and solve for x:
3.2x = 1200
x = 375
So, with 12.5 gallons of gas, Sara can drive 375 miles
Find the solution to the system of equations y=1/2x +1, y= -x-2
Answer:
answer is (1,0)
Step-by-step explanation: