Answer:
part A: x= 1 and x= 3/2
part B: minimum at (5/4, f(5/4))
Step-by-step explanation:
part A: factoring
0 = 2x^2 - 5x + 3
= (2x^2 - 2x)(-3x + 3)
= 2x(x - 1) -3(x-1)
= (2x - 3)(x - 1)
x= 1 and x= 3/2
part B: candidates test
find the derivative of the function.
f(x) = 2x^2 - 5x + 3
f'(x) = 4x -5
solve for critical numbers.
0 = 4x - 5
x = 5/4
candidates test by plugging in numbers into the derivative to see if that area is negative or pos.
f has a minimum at x = 5/4 because f' goes from neg to pos there. to find the coordinate for x = 5/4 just plug it into the original function to find f(5/4).
Part C: to draw the graph, I'd just plot the vertex coordinate that you solved for in part B, then I would plot the x intercepts that you solved for in part a, from there just draw a line throu the 3 points. (it should look like a U shape)
Solve for x.
40 = 8(x - 10)
Answer:
x = 15
Step-by-step explanation:
hope this helps, have a great day/night!!
Answer:
15
Step-by-step explanation:
40=8(x - 10)
Distributive property
40 = 8x - 80
Add 80 on both side
120 = 8x
Divide both sides by 8
120/8 = 15
x = 15
Jaden construction scale model of a building with a rectangle or a base model is 2 inches in length and 1 inch in with the scale of the model of 1 inch equals 47 feet what is the actual area in square feet of the base of the building
Answer:
4418
Step-by-step explanation:
2 inches=94ft
1 inch=47ft
94*47= 4418 ft
please help me pleaseeeeee
Answer: c=35
D=90
E=55
Step-by-step explanation:
Since d is a right angle it is 90. Take 90 and subtract it from 180 to get 90.Set them equal to 90 so 3x+11+5x+15=90
Simplify
8x+26=90
8x=64
X=8
Now take x and plug it in for each equation
3(8)+11=35
5(8)+15=55
So measured of c is 35
Measure of e is 55
And d is 90
hope this helps
- 5x^2-6y^2, when x = 1 and y=2
Answer:
-29
Step-by-step explanation:
-5x^2-6y^2
substitute the x and y values
-5(1)^2-6(2)^2
-5-6*4
-5-24
-29
If 2x > 8, find the first integer solution.
A. 3
B. 4
C. 5
D. 6
Answer:
B because 2x > 8 is 8 ÷ 2
Step-by-step explanation:
look at the photo
Which comparison is not correct?
-2 > -7
1 < -9
-3 > -8
6 > 5
There is a bag of marbles that contains 4 blue marbles, 3 red marbles, 2 green marbles, and 1 brown marble. If one was picked at random, not replaced, and another was picked, what is the probability of both marbles selected to be blue?
Answer:
2/15
Step-by-step explanation:
P(B,B) = 4/10 x 3/9
= 2/5 x 1/3 or 2/15
Find the circumference of each circle. Use 3.14 or 22/7 for T. Round to the
nearest tenth if necessary.
Answer:
4. Circumference = diameter × π
8× 3. 14= 25. 12 ~25. 1
5. 13×3. 14= 40. 82 ~40. 8
6. Diameter= radius ×2
3. 5×2=7
Diameter = 7
7× 3. 14= 21. 98 ~22
2.
When dropped, a golf ball bounces to
75% of its previous height on each
successive bounce. Someone drops a golf
ball from the top of Burj Khalifa in
Dubai, and its first bounce reaches 2041.5
feet. What is the peak height of the ball
after the tenth bounce?
A) 273 ft.
B) 204 ft.
153 ft.
D) 114 ft.
E) 340 ft
If no mechanical energy were lost, a skateboarder descending a straight 40 meter slope would arrive at its foot with speed of 15 m/s.Calculate the angle the slope makes with the horizontal
Answer:
Answer
Step-by-step explanation:
Step-by-step explanation
Find the slope of the line that passes through each pair of points.
Answer:
0.5
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
1
2
= 0.5
θ =
arctan( ΔY ) + 180°
ΔX
= 206.56505117708°
ΔX = 0 – 2 = -2
ΔY = 0 – 1 = -1
Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998
Equation of the line:
y = 0.5x
When x=0, y = 0
When y=0, x = -0
BRAINIEST PLEASE??
please help me :))) i really need help
Help me solve this, for 15 points, I need it for my homework teehee.
Answer:
its wrong because verticle angles would need to be opposite of each other, not right next to each other. ACB and FCE would be correct
Step-by-step explanation:
im not too sure how to explain it, verticle angles are across from each other
Which expression has the same value as the one below?
10+(3)
Answer:
The answer is B: 10 + 3 = 7
Please help me with this homework show me how you get it and the answer
Answer:
Step-by-step explanation:
V = 1/3πr^2h
Putting values
V = 1/3(3.14)(4)^2(3)
= 50.24
please help me with retake questions? im really confused
Answer:
20°
Step-by-step explanation:
It's a catch. Draw a stronger line (along the circle) from V, going through Z, W, X, and getting to Y. That measures 320°.
Since the whole circle is 360° the segment YV measures 40°. Therefore, angle VXY = 20°.
Review the graph of function h(x).
What is lim h(x), if it exists?
Answer:
0
Step-by-step explanation:
because you have to look at what both sides of the graph is doing as it approaches 2.
from the left, we can see the the graph is going down All the way to 0 at x=2.
and from the right side, the graph is going up to 0 at x=2.
therefore the graph is approaching 0.
The limit of h(x) as x tends to 2 is equal to 0.
How to get the limit of h(x) when x tend to 2?
Remember that a limit is not the same as an evaluation, the limit studies the behavior of the function near the value, not in x = 2.
While we can see that h(2) = 3 (we have a jump there). We can see that around x = 2 the function tends to zero.
From that, we conclude that:
[tex]\lim_{x \to \ 2} h(x) = 0.[/tex]
Then the correct option is the first one.
If you want to learn more about limits:
https://brainly.com/question/5313449
#SPJ2
help me please thank you
Answer: exponential
Step-by-step explanation:
its exponential
count the squares in each one
first is 2 squares
second is 4 squares
third is 8 squares
this is going up exponentially because the first one would be 2^1 the second would be 2^2 and the third would be 2^3
Is this proportional or non proportional and why
Given:
The table of values.
To find:
Whether the given relation in the table is proportional or non proportional.
Solution:
If y is directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
[tex]\dfrac{y}{x}=k[/tex]
Where, k is the constant of proportionality.
It means the ratio of y and x remains same for proportional relation.
From the given table, the points are (10,18), (11,18.6) and (12,19.2). The ratio of y to x for these points are:
[tex]\dfrac{18}{10}=1.8[/tex]
[tex]\dfrac{18.6}{11}\approx 1.69[/tex]
[tex]\dfrac{19.2}{12}=1.6[/tex]
Since the ratio of y to x for the given points are not equal, therefore the given relation is a non proportional relation.
what is 345.00 divided by .072? (rounded by ten if possible)
Answer:
4791.7
Step-by-step explanation:
A. Diameter
B. Tangent
C. Chord
D. Secant
will give brainliest to the correct answer (nor links or account will be reported) :)
Answer:
50
Step-by-step explanation:
68+62=130 then subract 180-130 and have 50 so x=50
Answer:
x°=50°
Step-by-step explanation:
Because of the Vertical Angle Theorem, the blank angle across from 68° is the same measure. Therefore, since the blank angle is 68°, then x° would be 50° because 180-62-68=50 due to the Triangle Angle Sum Theorem.
i really need help on this one!!
Answer:
it should be 137 bc its across from it....
Step-by-step explanation:
cos²x - sin²x = 0,66
x = 24.35°
Step-by-step explanation:
Recall that
cos²x - sin²x = cos 2x
which means that
cos 2x = 0.66 ---> 2x = cos^-1 (0.66) = 48.7°
or x = 24.35°
Answer:
x = 24.35, 155.65, 204.35, 335.65 degrees ( for 0 < x < 360 degrees).
Step-by-step explanation:
cos²x - sin²x = 0.66
cos^2 x = 1 - sin^2 x so
1 - sin^2 x - sin^2 x = 0.66
1 - 2sin^2 x = 0.66
2sin^2 x = 1 - 0.66
sin^2x = 0.34/2 = 0.17
sin x = +/- √0.17
= +/- 0.41231
x = 24.35 degrees ( in first quadrant)
and 180 + 24.35 = 204.35 degrees in third quadrant.
Which words name the shape?
Answer: B, Parallelogram, and rectangle
Step-by-step explanation:
A parallelogram requires two parallel sides which that shape has.
A rectangle requires all angles to be right angles and that shape has all angles being right angles.
The shape is not a rhombus since all sides are not the same and it's not a square for the same reason.
Find the intersection points of the linear and quadratic functions shown below f(x)=2x-5 g(x)= x2+2x-21
Answer:
[tex](-4,-13)[/tex] and [tex](4,3)[/tex] the intersection points.
Step-by-step explanation:
Intersection point of two functions is a common point which satisfies both the functions.
Given functions are,
[tex]f(x)=2x-5[/tex]
[tex]g(x)=x^2+2x-21[/tex]
For a common point of these functions,
[tex]f(x)=g(x)[/tex]
[tex]2x-5=x^2+2x-21[/tex]
[tex]-5=x^2-21[/tex]
[tex]0=x^2-16[/tex]
[tex]x^2=16[/tex]
[tex]x=-4,4[/tex]
For [tex]x=-4[/tex],
[tex]f(-4)=g(-4)=2(-4)-5[/tex]
[tex]=-13[/tex]
For [tex]x=4[/tex],
[tex]f(4)=g(4)=2(4)-5[/tex]
[tex]=3[/tex]
Therefore, [tex](-4,-13)[/tex] and [tex](4,3)[/tex] the intersection points.
A baseball is hit into the air with an initial vertical velocity of 48 feet per second from
an initial height of 3 feet. How many seconds does it take for the ball to hit the
ground?
Answer:
16
Step-by-step explanation:
just follow for more answers
Teachers were told that next year they would receive a percent increase in their salary. Mrs. Bennett is making $32,000 a year and will receive $2,550.00 more next year. What is the percent increase? Round to the nearest percent. I need this answer ASAP please and thank you!
Answer:
7.97%
Step-by-step explanation:
Given data
Original Salary= $32,000
Increase= $2,550.00
percent increase= increase/original *100
Percent increase= 2,550.00/32000*100
Percent increase= 0.0796875*100
Percent increase= 7.97%
Hence the increase is 7.97%
Which ones the right answer?
The answer is D. (7,8)
You are able to count from 0 to ten, and you always put the x number first!
Hope this helps :)
In circle B with m \angle ABC= 30m∠ABC=30 and AB=14AB=14 units, find the length of arc AC. Round to the nearest hundredth.
Answer:
the answer is 130 because why not
Answer:
The answer is 7.33 m
Step-by-step explanation:
I looked it up lol