All categories

3 years ago

Solve for x Urgent need help

Mathematics

1 answer:

fiasKO [112]3 years ago

6 0

I believe you need to solve this using the quadratic formula!
To begin, this is what it is:
x= -b ± √ b^2 - 4ac / 2a
Just plug in what you have in your problem...
2 being a, 13 being b, and -24 being c.
So we get:
x= -13 ± √13^2 - 4(2)(-24) / 2(2)
x= -13 ± √169 - 8 (-24) / 4
x= -13 ± √169 + 192 / 4
x= -13 ± √361 / 4
The square root of 361 is 19.
So you have: -13 ± 19 / 4.
Here's where you take the equation -13 ± 19 and put the addition and subtraction sign to use.
-13 - 19 = -32
and
-13 + 19 = 6
Now all is left to do is divide the two numbers by 4.
-32/4 = -8
and
6/4 = 3/2

x = -8, 3/2

You might be interested in

a right trangle has one angle that measures 70 what is the measure of the other acute angle in the triangle

inna [77]

Answer:

Step-by-step explanation:

We know that the interior angle measures of a triangle are 180, and we are told that this is a right triangle.

Since we know the measure of two angles, we just have to do basic math:

180=90+70+x

solve for x (which equals 20) to get the measure of your acute angle

3 0

3 years ago

A middle schooler took all the 6th grader on a field trip to see ballet. The students filled up 570 seats, which was 95% of the

Musya8 [376]

The total number of seats in the theater is 600 seats, if the students filled up 570 seats, which was 95% of the total number of seats in the theater.

Step-by-step explanation:

The given is,

Seats filled by students are 570 seats

Which is 95% of the total number of seats in the theater

Step: 1

Let, x - Total number of seats available in theater

Percentage of seats filled, y= 95%

Seats filled by students = 570

Formula to calculate total number of seats in theater,

95% of seats $= \frac{95}{100}( x)$

570 = $0.95 (x)$

x = $\frac{570}{0.95}$

= 600

x = 600 seats

Step: 2

Check for solution,

5% of seats $= \frac{5}{100} (600)$

= (0.05 × 600)

= 30 seats

Total no. of seats = 5% of seats + 95% of seats

= 30 + 570

600 = 600

Result:

The total number of seats in the theater is 600 seats.

7 0

3 years ago

Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y =

Dovator [93]

Answer:

V = π ∫₀² (y² − 8y + 6√(2y)) dy

V = π ∫₀² (6x − 5x² + x³) dx

Step-by-step explanation:

y₁ = 0.5x²

y₂ = x

First, find the intersections of the curves.

0.5x² = x

x² = 2x

x² − 2x = 0

x (x − 2) = 0

x = 0 or x = 2

So the points of intersection are (0, 0) and (2, 2).

When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.

One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.

V = ∫₀² π [(3−y)² − (3−√(2y))²] dy

V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy

V = π ∫₀² (y² − 8y + 6√(2y)) dy

Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².

V = ∫₀² 2π (3 − x) (x − 0.5x²) dx

V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx

V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx

V = π ∫₀² (6x − 5x² + x³) dx

The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).

7 0

3 years ago

HELP plssssssssssssssssssssssss

hoa [83]

Answer: 8.5

Step-by-step explanation: 8.5 because 34 divided by 4 is 8.5. To find the unit rate, make 4 hours turn to 1 hour. To do that, divided 4 by 4. Do the same with the other number, which is 34. 34 divided 4 is equal to 8.5

7 0

2 years ago

Read 2 more answers

a dime is dropped from a building at 1.024 ft . if the equation for height as a function of time is h(t)=-16t^2+ initial height

babunello [35]

Answer:

The dime hits the ground after 8 sec.

Step-by-step explanation:

Set h(t) = -16t^2 + h(0) equal to 0: -16t^2 + 1,024 ft = 0, or:

16t^2 = 1,024 ft, or:

t^2 = 64 ft^2

Then t = +8 sec

The dime hits the ground after 8 sec.

7 0

2 years ago