Answer:
The axis of symmetry for the graph of y = -2x² + 16x - 7 will be:
x = 4
Hence, the last option i.e. x = 4 is the correct option.
Step-by-step explanation:
Given the equation
[tex]y\:=\:-2x^2\:+\:16x\:-\:7[/tex]
For a parabola in standard form y = ax² + bx + c
The axis of symmetry is the vertical line that goes through the vertex x = -b/2a
so
The axis of symmetry for y = ax² + bx + c is x = -b/2a
In our case,
[tex]a=-2,\:b=16[/tex]
Therefore,
x = -16/2(-2)
x = -16 /-4
x = 16/4
x = 4
Therefore, the axis of symmetry for the graph of y = -2x² + 16x - 7 will be:
x = 4
Hence, the last option i.e. x = 4 is the correct option.
pls help me 10 points
HELPS PLS IM TRYING TO FIGURE THIS OUT
Answer:
a is -6 and b is -4
Step-by-step explanation:
Since your slope is 5/2, it means the function will go up five units and to the right two units. Since we know this, we can see that a needs to be 4 spaces to the left of the second point, thus making it -6, and b needs to be 5 above the second point, thus making it -4
A bag contains 15 balls numbered 1 through 15. What is the probability of selecting a ball that has an odd number and is divisible by 5? 1. 8/15 2. 2/15 3. 7/15 4. 1/5
Answer:
the probability would be 8/15
The solution is Option 2.
The probability of selecting a ball that has an odd number and is divisible by 5 is 2/15
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability of selecting a ball that has an odd number and is divisible by 5 be P
Now , the equation will be
The total number of balls in the bag = 15 balls
The numbered balls in the bag A = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 }
The numbers of the balls in the bag that are divisible by 5 B = { 5 , 10 , 15 }
The odd numbers from the set B = { 5 , 15 }
So , the probability of selecting a ball that has an odd number and is divisible by 5 P = odd numbers from the set B / total number of balls in the bag
Substituting the values in the equation , we get
The probability of selecting a ball that has an odd number and is divisible by 5 P = 2/15
Therefore , the value of P is 2/15
Hence , the probability is 2/15
To learn more about probability click :
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daniel took 24 photos at the zoo. 3/8 of the photos were giraffes. how many of daniels photos are giraffe
Answer:
9
Step-by-step explanation:
3/8 of 24 is 9
-3x + 4y – 5xy ; x= -3, y = 2
Need help ASAP plz
Answer:
47
Step-by-step explanation:
First, plug in the numbers.
x = -3 and y = 2.
-3(-3) + 4(2) - 5(-3)(2)
Simplify by multiplying.
-3 * -3 = 9
4 * 2 = 8
-5 * -3 * 2 = 30
Your new equation is:
9 + 8 + 30 = ?
Simplify by adding. 9 + 8 + 30 = 47
Answer:
47
Step-by-step explanation:
-3(-3) + 4(2) - 5(-3)(2)
9 + 8 + 30 = 47
f(x) = 5x3 + 2x2 – 7x + 4
g(x) = 3x – 7
Find (f + g)(x).
Step-by-step explanation:
5x^3+2x^2-4x-3
option b is correct answer
hope it helps you
***PLEASE HELP WILL GIVE BRAINIEST ANSWER + 50 POINTS***
Answer:try f-1(-8)
Step-by-step explanation:
Tammy bought 2CDs that were each the same price. Including sales tax, she paid a total of 25.40. Each CD had a tax of 1.30. What was the price of each and before tax
Answer:
hi
Step-by-step explanation:
hi
A car of mass 2400kg moving with a velocity 20m/s is stopped by applying brakes in 10s. Calculatethe ret-arding force(I had to put da dash cuz brainly found it INAPPROPRIATE read it without the dash).
Answer:
Acceleration force = 2 m/s²
Force = - 4,800 N
Given:
Mass (m) = 2,400 kg
Initial velocity (u) = 20 m/s
Final velocity (v) = 0 m/s
Time taken (t) = 10 s
Find:
Acceleration force
Force
Computation:
v = u + at
0 = 20 + (a)(10)
Acceleration force = 2 m/s²
f = ma
f = 2,400 X (-2)
Force = - 4,800 N
Find the measure of Angle A. (include and explanation so I could do the rest on my own, preferably :)
Answer:
13) Angle A is 30°
14) Angle A is 45°
15) Angle A is 40°
16) Angle A is 40.5°
Step-by-step explanation:
By the angle sum theorem for the interior angles of a triangle, we have;
13) 130° + 2·x + 3·x = 180°
∴ 2·x + 3·x = 180° - 130° = 50°
2·x + 3·x = 5·x = 50°
x = 50°/5 = 10°
∠A = 3·x = 3 × 10° = 30°
∠A = 30°
14) 3·x + 9 + 4·x + 9 + 78° = 180°
7·x + 18 + 78° = 180°
7·x = 180° - (18 + 78)° = 180° - 96° = 84°
x = 84°/7 = 12°
∠A = 3·x + 9 = 3 × 12° + 9 = 45°
∠A = 45°
15) 90° + x + 51 + x + 61 = 180°
∴ x + 51 + x + 61 = 180° - 90° = 90°
2·x + 112 = 90°
2·x = (90 - 112)° = -22°
x = -22°/2 = -11°
x = -11°
∠A = x + 51 = -11° + 51 = 40°
∠A = 40°
16) x + 79 + x + 49 + 70° = 180°
x + x = (180 - 70 - 79 - 48)° = -17°
2·x = -17°
x = -17°/2 = -8.5°
x = -8.5°
∠A = x + 49 = (-8.5 + 49)° = 40.5°
∠A = 40.5°.
population has decreased by 30% in the past A city has a population of 350,000. The ten years. What was the population of the city ten years ago?
Answer:
the population used to be 455,000
Step-by-step explanation:
It Takes Sierra 8 seconds to walk a 50-foot course, what is the rate that she was walking
Phillip wanted to leave a 15% tip. Phillip's bill was $36.00. How much will he leave for a tip?
A. $7.20
B. $5.40
C. $3.96
D. $3.60
An 18-foot piece of rope costs $17.82. What is the price per yard?
Please help me answer thsi question
33+4⋅(52−42) evaluate the expression
Help answer fast 15points
Answer:
22 hours
Step-by-step explanation:
he earns $8 per hour, 176 hours/$8 = 22 hours
Answer:
i could be wrong but i have to say 22 sorry if im wrong ;c
Step-by-step explanation:
A fitness instructor purchases exercise bikes and treadmills for two gyms. For the first gym, 2 exercise bikes and 3 treadmills cost $2200. For the second gym, 3 exercise bikes and 4 treadmills cost $3000. How much does a treadmill cost?
Answer:
$20
Step-by-step explanation:
On the coordinate plane shown, what is the distance from point Y to point Z? Round your answer to the nearest hundredth.
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but I would solve a similar question:
Find the distance between the two points shown on the coordinate plane. (Round your answer to the
nearest tenth.)
Solution:
The coordinate plane is a plane formed by the intersection of the vertical line and the horizontal line. The vertical line is known as the y axis and the horizontal line is the x axis. The y axis and x axis intersect at a point known as the origin.
The distance between two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is given by:
[tex]Distance=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Given points (-2, -1) and (2, 3), the distance is:
[tex]Distance=\sqrt{(3-(-1))^2+(2-(-2))^2}=\sqrt{4^2+4^2}=\sqrt{16+16}=\sqrt{32}[/tex]
Answer:
7.21 units
its on ttm
trust me its right
Step-by-step explanation:
3. If the lateral surface area of a
cylinder is 94.2 cm2 and its height
is 5 cm, then find
i) radius of its base
ii) its
volume
Use pi = 3.14
Step-by-step explanation:
Answer:
I) R = 3 cm;
II) V = 14.3 cm³.
Step-by-step explanation:
I) C = 94.2 ÷ 5 = 18.84
A cylinder has a base with a circumference of 18.84cm.
[tex]R=\dfrac{C}{2\pi } =\dfrac{18.84}{2 \cdot 3.14} =\dfrac{18.84}{6.28} =3 \: (cm)[/tex]
II) [tex]V=\pi R^{2}H=3.14 \cdot 3^{2} \cdot 5 = 141.3 \: (cm^{3})[/tex]
What is the value of x to the nearest tenth, given that PQ
is an angle bisector?
Answer:
16.8
Step-by-step explanation:
16.8
X/7=12/5
5x=84
X=16.8
13) A ball is dropped from a height of 64 feet.
Each time it hits the ground, it bounces one
forth its previous height. Find the total distance traveled by the ball.
Answer:
85
Step-by-step explanation:
64+16+4+1= 85 is the total distance i believe
find the area of triangle PQR
if a triangle has a area of 42 cm^2 and a base of 8 cm, what is the height?
show work plsssss
Answer:
The height would be 10.5 cm
Answer:
hb=10.5cm
Step-by-step explanation:
Area of triangle = 1/2(height x base)
The problem states that base is 8 cm greater than the height; therefore, base-8 = height.
A = 1/2(b*h)
42 = 1/2(b*[b-8])
84=(b^2-8b)
rearrange to
b^2 - 8b -84
factor to
(b+8)(b-14)
Therefore, b = -8 cm which makes no sense and
b = +14 cm
and height = 14-8 = 6
Check:
1/2(b*h) = area
1/2(14*6) = 1/2(84)=42
Choose all the points that are located in quadrant IV.
Answer: (2,-4). (6,-9)
Step-by-step explanation:
Quadrant I: (pos.,pos.)
Quadrant II: (neg.,pos.)
Quadrant III: (neg., neg)
Quadrant IV: (pos., neg)
Find AE
Note: Figure is not to scale
(Graded)
Answer: i think its 82 but im not sure
Step-by-step explanation:
People pls stop reporting you downloaded the app so don’t complain about what’s on it :)
ohhhh that sounds interesting
Three Duos is worth the same amount as two Trios. Steve has thirty-six Trios. If he converts all of his Trios to Duos, then how many Duos will Steve have?
Answer:
Steve has 54 Duos
Step-by-step explanation:
Proportions
It's given three duos (D) is worth as two trios (T), i.e.:
3D = 2T
Steve has 36 trios, that is, 36T. To find the equivalence to duos, we multiply the given relationship by 18:
18*3D = 18*2T
Operating:
54D = 36T
Therefore, 36 trios are equivalent to 54 duos.
Steve has 54 Duos
Dan invests £22000 into his bank account.
He receives 2.5% per year simple interest.
How much will Dan have after 3 years?
Give your answer to the nearest penny where appropriate.
Answer:
£23650
Step-by-step explanation:
FV (or AV) = PV(1+it)
22000(1+.025*3)
22000(1.075)
23650
.....Graphing: y=5x+1.....
Answer: 5x1=5
Step-by-step explanation:
