Answer:
f(x) = 16x2 + 32x - 9
To find the "zeros", set f(x) = 0:
0 = 16x2 + 32x - 9
The equation is solvable by factoring or by using the quadratic formula. The factors (use the "ac" method) are:
0 = (4x-1)(4x+9)
x = 1/4 = 0.25 and x = -9/4 = -2.25
Step-by-step explanation:
The zero of the quadratic function f(x) = 16x² + 32x - 9 is x = -2.25. Thus, the correct answer is option B.
To find the zero of the quadratic function f(x) = 16x² + 32x - 9, we need to solve the equation f(x) = 0.
Setting the equation equal to zero:
16x² + 32x - 9 = 0
To solve this quadratic equation, we can use the quadratic formula:
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
For our equation, the coefficients are:
a = 16
b = 32
c = -9
Substituting these values into the quadratic formula:
[tex]x = \dfrac{-32\pm\sqrt{32^2-4\times16\times-9}}{2\times16}\\\\x=\dfrac{-32\pm \:40}{32}\\\\x=\dfrac{-32+40}{32},\dfrac{-32-40}{32}[/tex]
Simplifying further:
x = 8 / 32
= 1/4
= 0.25
x = -72 / 32
= -9/4
= -2.25
Therefore, the zero of the quadratic function f(x) = 16x² + 32x - 9 is x = -2.25.
Learn more about quadratic function here:
brainly.com/question/14083225
#SPJ2
The complete question is as follows:
Which is a zero of the quadratic function f(x) = 16x² + 32x - 9?
A. x = -5.25
B. x = -2.25
C. x = -1.25
D. x = -0.25
Alejandro compra un terreno de 0,3 hm cuadrados y 0,9 dam al cuadrados ¿cuanto ha pagado por el terreno
Answer:
Si el metro cuadrado es a $ 50 Alejadro pagó por el terreno $195 000
Step-by-step explanation:
Ya que no se especifica un valor por unidad de área podemos suponer por ejemplo $ 50 / metro^2
Terreno:
0.3 hm^2
0.9 dam^2
1) Vamos convertir a la misma unidad de área las áreas del terreno para poder saber su costo.
-Hectómetro cuadrado
1 hm^2 = 10 000 m^2
Por lo tanto,
0.3 hm^2 * 10 000 m^2 / 1 hm^2 = 3000 m^2
-Decámetro cuadrado
1 dam^2 = 1 000 m^2
Por lo tanto,
0.9 dam^2 * 1 000 m^2 /1 dam^2 = 900 m^2
Así que el total del terreno es de 3900 m^2
2) Ahora podemos calcular el valor total del terreno
area* valor (por m^2)
3900 m^2 * $50/ m^2 = $195 000
PLZ PLZ PLZ HELP ME PLSSSSS
Answer:
x = 70
Step-by-step explanation:
Answer:
Step-by-step explanation:
b/c we know that the inside angles of a triangle add to 180
180 = 38 + x + x + 2
180 = 40 + 2x
140 = 2x
70 = x
In hopes of encouraging healthier snacks at school, Pete brought in a tray of carrot sticks and apple slices to share. The tray had a total of 70 snacks, of which 90% were carrot sticks. How many carrot sticks did Pete bring?
Answer:
pete brought 63 carrots
Step-by-step explanation:
70 x .90 = 63
Solve each equation for y (get into slope-intercept/y=mx + b form): a) 10x + 5y = 20 b) 3x - 2y = 10 + 4x
Don't forget to explain how you got the answers.
Answer:
see below
Step-by-step explanation:
We want to solve each equation for y, so y must be alone on one side of the equation.
a) 10x + 5y = 20
Subtract 10x from both sides.
5y = 20 - 10x
Place the x term in front to follow y = mx + b form.
5y = -10x + 20
We want to isolate y completely, so divide both sides by 5. On the right side, be sure to divide each component by 5.
5y/5 = -10/5x + 20/5
y = -2x + 4
This equation is in slope-intercept form.
b) 3x - 2y = 10 + 4x
We can see that y is negative in this original equation. Let's add 2y to both sides to make y positive.
3x = 10 + 4x + 2y
Now we want to isolate y, so subtract 4x from both sides.
3x - 4x = 10 + 2y
Simplify.
-x = 10 + 2y
Isolate y further by subtracting 10 from both sides.
-x - 10 = 2y
Again, we want to isolate y completely, so divide both sides by 2. On the left side, be sure to divide each component by 2.
-x/2 - 10/2 = 2y/2
-1/2x - 5 = y
This looks backwards (although it is in slope-intercept form), so let's rearrange it just to make it more clear.
y = -1/2x - 5
This equation is in slope-intercept form.
Hope this helps!
Triangle HIJ is similar to triangle KLM. Find the measure of side LM. round your answer to the nearest tenth
Answer:
5.3
Step-by-step explanation:
27.8/37 = x/7
37x = 194.6
x=5.25
x=5.3
If a radius of a circle is 30 inches then it’s diameter is what? Please help ty!
Answer:
60 inches
Step-by-step explanation:
Radius is 1/2 of a diameter, so diameter is twice a radius. 30 x 2 = 60 inches
Hope that helps! :)
-Aphrodite
Find the length of the third side if necessary round to the nearest tenth
Answer:
H²=a²+b²
H²=4²+7²
H= 8.06
(10.04 MC)
What cosine function represents an amplitude of 3, a period of π, no horizontal shift, and a vertical shift of 2? (6 points)
Group of answer choices
f(x) = 3 cos 2x + 2
f(x) = 3 cos πx + 2
f(x) = 2 cos πx + 3
f(x) = 2 cos 2x + 3
Answer:
f
(
x
)
=
3
cos
(
2
x
)
+
2
EXPLANATION:
We are able to use the transformation formula
f
(
x
)
=
a
⋅
cos
(
x
−
h
b
)
+
k
. You start with
f
(
x
)
=
cos
(
x
)
and replace
a
with the desired amplitude,
h
with the desired horizontal shift, and
k
with the desired vertical shift. This leaves out the
b
-value. A regular cosine function has a period of
2
π
. If you want a period of
π
, since that is one half of the original period, you need to replace your
b
with a
1
2
.
This is about how it would work out.
f
(
x
)
=
3
⋅
cos
(
x
−
0
1
2
)
+
2
From there you simplify your equation giving you
f
(
x
)
=
3
cos
(
2
x
)
+
2
Answer:
f(x) = 3 cos 2x + 2
Step-by-step explanation:
got it right on the test.
Find the measure of the exterior <1 A 130 B 22 C 78 D 102
Answer:
C
Step-by-step explanation:
Answer:
here
Step-by-step explanation:
B. 39, 45. C. 162, 972. D. 33, 39. 2. Based on the pattern, what are the next two ... If two angles are complementary, then the sum of their measures is 90°. ... D. alternate exterior angles. 56. 7. 8. 11. Find m2. The diagram is not to scale. 180 ... perpendicular to one of two parallel lines, then it is also perpendicular to the other.
PLZ PLZ PLZ I GIVE BRAINLIEST ANSWER PLZ
Answer:
[tex] \sqrt{ {( - 1 - 4)}^{2} + {(2 - ( - 3))}^{2} } = \sqrt{ {5}^{2} + {5}^{2} } = 5 \sqrt{2} [/tex]
solve the equation d - 4= -12
d=16
d= - 16
d=8
d= - 8
Which number line represents the solution to 5x < 30? F # 10 0 2 4 6 8 + 0 2 4 6 8 10 H +00 0 4 6 10 N J o 2 4 6 8 10
Answer:G i think sorry if wrong
Step-by-step explanation:
Answer:G
Step-by-step explanation:
21. identify the secant that intersects OA.
=============================================================
Explanation:
A secant line cuts the circle so that part of the line is inside the circle, and the rest (or majority) of the line is outside the circle. In other words, the secant line intersects the circle at exactly two points.
This is in contrast to a tangent line that only touches the circle at exactly one point. Line L is the tangent line in this case.
Segment DC is a diameter of the circle as it goes through the center, and this segments endpoints are on the circle's edge. The segments AD and AC are radii of the circle.
Answer:
Line BC
Step-by-step explanation:
WILL MARK BRAINLIEST HELP ASAP ASAP
Answer:
B
Step-by-step explanation:
I got this answer correct on a test
(9.1 × 109)(7.5 × 102)
Answer:
758803.5
Step-by-step explanation:
that's what i got- no idea if it's right though-
- Find the value of x. Round to the nearest tenth of a unit.
100 ft
T
20°
O 34.2 ft
O 36.4ft
O 94 ft
O 292 ft
[tex]x = 34.2[/tex]
[tex] \sin(20) = \frac{x}{100} \\ 0.3 = \frac{x}{100 } \\x = 100 \times 0.3 = 34.2[/tex]
Enter the
value of p so that the expression
3(n + 5) is equlvalent to (n + p)3
Answer:
p=5
Step-by-step explanation:
a(x+y) is also (x+y)a
So if 3(n+5) has to be equivalent to (n+p)3, then p has to be 5.
---
hope it helps
Find the volume of the prism. ____ cu. ft.
HELPP IM TAKING A TEST AND I WILL GIVE BRAINLIEST AND EXTRA POINTS
12 (tell me if im wrong sorry if i am)
Step-by-step explanation:
if noah ran 45 minutes and john ran 6 more minutes the noah how many minutes did john run? please help
Answer:51 minutes
Step-by-step explanation:
In the figure below mPUR =77 and mST=74 Find mPR
Answer:
a)
The angle formed by intersecting chords is half of the sum of the intercepted arcs:
1/2(mST + mPR) = m∠PUR1.2(74° + mPR) = 77°74° + mPR = 2*77°mPR = 154° - 74°mPR = 80°b)
The angle formed by two tangents is the half of the difference of the intercepted arcs:
m∠PSR = 1/2(mPTR - mPR)m∠PSR = 1/2(247° - (360° - 247°))m∠PSR = 247° - 180°m∠PSR = 67°3-x1/2=y Given x = 4
Answer:
1
Step-by-step explanation:
3 - (4) 1/2
3 - 2
= 1
Help me.............
just add all the numbers together and then divide them by how many numbers there were, and youll find the mode (average)
the lat one u just subtract 30 from 45, and find how many more scores
Marla made $42 babysitting
for 5 hour's. How much money
did she make each hour?
A $8,40
B. 18.10
C. $1.90
D. $11.90
Help please
Answer: she made $8.40
Step-by-step explanation: divide 42 by 5 to get your answer
Answer:
A - $8.40
Step-by-step explanation:
You would have to do 45÷5
A LITTLE HELP PLEASEEE!!
Answer:
i think it’s the 5th one
Step-by-step explanation:
Persuade Mr.Zorn whether the numbers 12, 16, and 20 make a right triangle or not. make sure to state reasons for and against your belief. *
Answer:
They don’t 12+16+20= 48
12 x 16 x 20= 3840
Step-by-step explanation:
PLEASEEE HELP!!!!
!!!ILL GIVE >>BRAINLIST<
Answer:
Step-by-step explanation:
How many lies of symmetry does this figure have ?
Answer:
B.
Step-by-step explanation:
You can draw draw ten lines through this figure to get symmetry either side.
Solve for x : (X+4) (x-3) =0
Answer:
x=-4,3
Step-by-step explanation:
x+4=0
x=-4
x-3=0
x=3
A radio station signal covers a circular area out from the signal tower. It gets weaker the farther away your are. The local station WDHS (at location (0,0)) sends it signal out with a coverage radius of 5 miles. 1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning. 2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.
Answer:
1. We would hear better at Dunkin's since its distance from the radio station is the shortest.
2. McDonald's is out of range of the radio station since its distance is greater than the range of the radio station.
Step-by-step explanation:
1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning.
We need to find the distance of each point from the tower.
The shorter the distance from the radio station the better the signal.
The distance between two points (x₁, y₁) and (x₂, y₂) is given by d = √[(x₂ - x₁)² + (y₂ - y₁)²].
With (x₁, y₁) = (0, 0) the location of local station WDHS
For Zaxby's distance located at (2, -4) = (x₂, y₂)
So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(2 - 0)² + (-4 - 0)²]
= √[(2)² + (-4)²]
= √[4 + 16]
= √20
= √(5 × 4)
= √5 × √4
= 2√5
= 4.47 miles
For McDonald's distance located at (4, -4) = (x₂, y₂)
So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(4 - 0)² + (-4 - 0)²]
= √[(4)² + (-4)²]
= √[16 + 16]
= √32
= √(16 × 2)
= √16 × √2
= 4√2
= 5.66 miles
For Dunkin's distance located at (-3, 3) = (x₂, y₂)
So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-3 - 0)² + (-3 - 0)²]
= √[(-3)² + (-3)²]
= √[9 + 9]
= √18
= √(9 × 2)
= √9 × √2
= 3√2
= 4.24 miles
Since Dunkin's distance, d₃ = 4.24 is the least distance from the radio station and is within range of 5 miles, we would hear better at Dunkin's.
2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.
The radio station is outside of range if its distance is greater than 5 miles. That is, d > 5 miles.
So, we calculate the distance of each point from the radio station.
With (x₁, y₁) = (0, 0) the location of local station WDHS
For Zaxby's distance located at (2, -4) = (x₂, y₂)
So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(2 - 0)² + (-4 - 0)²]
= √[(2)² + (-4)²]
= √[4 + 16]
= √20
= √(5 × 4)
= √5 × √4
= 2√5
= 4.47 miles
For McDonald's distance located at (4, -4) = (x₂, y₂)
So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(4 - 0)² + (-4 - 0)²]
= √[(4)² + (-4)²]
= √[16 + 16]
= √32
= √(16 × 2)
= √16 × √2
= 4√2
= 5.66 miles
For Dunkin's distance located at (-3, 3) = (x₂, y₂)
So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-3 - 0)² + (-3 - 0)²]
= √[(-3)² + (-3)²]
= √[9 + 9]
= √18
= √(9 × 2)
= √9 × √2
= 3√2
= 4.24 miles
So, for each of the distances calculated above, only McDonald's distance, d₂ = 5.66 miles > 5 miles.
So, McDonald's is out of range of the radio station.
Answer this please 7= - w/8
Answer:
[tex]w = - 56[/tex]Step-by-step explanation:
[tex]7 = \frac{ - w}{8} [/tex][tex] \frac{ -w }{8} = 7[/tex][tex] - 8 \times \frac{ - w}{8} = - 8 \times 7[/tex][tex] - 1 \times ( - w) = - 8 \times 7[/tex]
[tex]1 \times w = - 8 \times 7[/tex]
[tex]w = - 8 \times 7[/tex]
[tex]w = - 56[/tex]
Hope it is helpful....