Answer:
The zeros of the function are: -1,10,15
Step-by-step explanation:
f(x) = (x - 15)(x + 1)(x - 10)
We can use the zero product property
0 = (x - 15)(x + 1)(x - 10)
x-15 =0 x+1 =0 x-10 =0
x=15 x = -1 x= 10
The zeros of the function are: -1,10,15
Answer:
Step-by-step explanation:
i have no clue
Leo is saving money to buy a snowboard. In March, he saved
$200. In April, he saved 35% more than what he saved in
March. How much did he save in April?
Answer:
$270
Step-by-step explanation:
35%= 0.35
200*0.35 =70
He saves $70 more.
Altogether saves $270
Please explain (will also give brainliest if you put all the steps)
Answer:
A = 139.5 cm^2
Step-by-step explanation:
Ok, let's break it down into pieces. First let's find the area of the main rectangle. We know that the area of a rectangle is as follows:
A = L x W
A = 9 x 12
A = 108 cm^2
Now we need to find the area of the two triangles. There are two ways to approach this. If you can visualize that you can flip the first triangle and slide it against the second, it becomes a rectangle. Then you can simply use the same formula as before with modified numbers.
L = 7 (height of the triangle
W = 4.5 (base of the triangle (half of 9))
A (both triangles) = 7 x 4.5
A (both triangles) = 31.5 cm^2
If you can't quite figure out how to visualize that, you can simply treat them as two independent right triangles. The formula for the area of a right triangle is as follows:
A = (1/2)b x h
b = 4.5
h = 7
A (first triangle) = (1/2)4.5 x 7
A (first triangle) = 15.75 cm^2
The area of the second triangle is identical
A (second triangle) = 15.75 cm^2
The area of the two triangles added together is
A (both triangles) = A (first triangle) + A (second triangle)
A (both triangles) = 31.5 cm^2
As you can see we got the same answer both ways. Now we just have to add the area of the two triangles to the area of the rectangle
A = 108 + 31.5
A = 139.5 cm^2
HELP! WILL GIVE BRAINLIEST!!!
Answer:
D
Step-by-step explanation:
As you can see from the image attached below, the equation that is being graphed is
F(x) = [tex]\frac{x}{(x+4)(x-1)}[/tex]
This equation splits off into various directions because the denominator is turns into a quadratic equation. Once solved it provides two values for which the quadratic equation would equal zero. Since this equation is the denominator 0 would give a null value and is why on the graph there is no y value for 1 or -4. Yet all other values are valid and have an different y output.
The grade point average of 4 randomly selected college students is recorded at the end of the fall and spring semesters of their senior year, as follows: Student 1 2 3 4 Fall 2.6 3.0 1.5 1.4 Spring 1.7 2.2 1.4 0.90 Construct a 95% confidence interval for the mean difference in GPA
Answer:
(-0.607 ; 1.757)
Step-by-step explanation:
Student: __ 1 ___ 2 ___ 3 ___ 4
Fall _____2.6__ 3.0__ 1.5 __1.4
Spring___ 1.7__ 2.2 __1.4 __0.90
Using calculator :
Fall:
Xbar1 = 2.125
Sample size, n1 = 4
Standard deviation, s1 = 0.8
Spring :
Xbar2 = 1.55
Sample size, n2 = 4
Standard deviation, s2 = 0.54
Confidence interval :
(xbar1 - xbar2) ± Tcritical * Sp* √1/n1 + 1/n2
Sp = √[(df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)]
df = n - 1
(xbar1 - xbar2) = 2.125 -1.55 = 0.575
Hence,
Sp = √(((3*0.8^2) + (3*0.54^2)) / 6)
Sp= √2.7948 ÷ 6
Sp = √0.4658
Sp= 0.682
Tcritical at 95%, df = 4 = 2.45
Error margin = 2.45 * 0.682 * √1/4 + 1/4 = 1.182
Confidence Interval:
Lower boundary = 0.575 -1.182 = -0.607
Upper boundary = 0.575 + 1.182 = 1.757
(-0.607 ; 1.757)
Math homework geometry please help
Answer:
A
Step-by-step explanation:
The theorem we use for this is
[tex]a(a + b) = c(c + d)[/tex]
Solve for d.
[tex]a(a + b) = c { }^{2} + cd[/tex]
[tex]a(a + b) - {c}^{2} [/tex]
[tex] \frac{a(a + b) - {c}^{2} }{c} [/tex]
A is the answer
∠X=5x+30
∘
\angle \mathrm{Y}=3\mathrm{x}+60^{\circ}∠Y=3x+60
∘
Corresponding angles on parallel lines cut by a transversal are equal
5x + 30 = 3x + 60
Subtract 3x from both sides
2x + 30 = 60
Subtract 30 from both sides
2x = 30
Divide both sides by 2
X = 15
Find the area of the triangle 14 Ft 17 ft
Answer:
119
Step-by-step explanation:
14x17 = 238)/2
The sum of two consecutive numbers is 5. Find the equation representing
the same.
Answer:
Step-by-step explanation:
Let the smallest number = x
The next number will be x + 1
x + x + 1 = 5
2x + 1 = 5 This is likely the answer to the question although it could be the equation above.
write the slope intercept form of the line that travels through (4,-1) and is perpendicular to y=1/4x
Answer:
y = -4x + 15
Step-by-step explanation:
y +1 = -4x(-4)
y +1 = -4x +16
y = -4x +15
Answer:
y = -4 + 15
Hope that this helps!
-2 + 12/25 enter the answer as an exact decimal
Answer:
-1.52
Step-by-step explanation:
-2+0.48=-1.52
A rectangular prism with length 12 m , width 8 m & height 15 m , find its surface area .
Answer: [tex]792\ m^2[/tex]
Step-by-step explanation:
Given
The length of the rectangular prism is [tex]l=12\ m[/tex]
width of the rectangular prism is [tex]w=8\ m[/tex]
height of the rectangular prism is [tex]h=15\ m[/tex]
The surface area of the rectangular prism is [tex]2[wl+lh+hw][/tex]
Put the values
[tex]\Rightarrow 2[8\times 12+15\times 12+15\times 8]\\\Rightarrow 2[96+180+120]=2\times 396\\\Rightarrow 792\ m^2[/tex]
The surface area of the rectangular prism is [tex]792\ m^2[/tex]
Which of the following are perfect square trinomials?
(1) 4x2 +9
(2) x2 - 8x + 16
O Only (2) is a perfect square trinomial.
O Neither (1) nor (2) is a perfect square trinomial.
Both (1) and (2) are perfect square trinomials.
Only (1) is a perfect square trinomial.
Answer:
Only 2
Step-by-step explanation:
1 is a binomial.
2 is a trinomial, and the first and last numbers are perfect squares (1 and 16)
GIVING OUT BRAINLIEST ANSWER HELP PLSSSS
Answer:
x = 63.43...
Step-by-step explanation:
Ok, so the angle x is the same measure as the bottom right angle of the triangle because the bottom of the triangle and the dashed line are parallel. Knowing this we can simply solve for the bottom right angle and it will be the same as angle x.
To do this we can set up and equation with tangent because we are working with the opposite and adjacent sides of the triangle.
[tex]Tan(x) = \frac{opposite}{adjacent} = \frac{50}{25} = 2[/tex]
[tex]Tan(x)=2\\[/tex]
Now to isolate the variable, we can simply use the cotangent or inverse tangent.
[tex]Tan^{-1}(Tan(x)) = Tan^{-1}(2)\\x = Tan^{-1}(2)\\x = 63.43...[/tex]
solve by completing the square! (will give brainliest for work!!!)
x ^ 2 - 2x = - 26
Answer:
Step-by-step explanation:
x²-2x=-26
add both sides (-2/2)² or 1
x²-2x+1=-26+1
x²-2x+1=-25
(x-1)²=25×-1
(x-1)²=5²×i²=(5i)²
x-1=±5i
x=1±5i
Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
line AB
line CD
line FG
line HJ
Answer:
Answer is D line HJ
Step-by-step explanation:
100% correct
Answer:
d
Step-by-step explanation:
trust me
ALGEBRA
write the word sentence as an inequality
1. 2 is more than a number v.
2. a number h is at most 15.
3. a number p is less than 1/2
4. 12 is fewer than a number n.
Answer:
11,7,5,3
Step-by-step explanation:
thats all thank you
PLEASE HELP!
An airplane flying at an altitude of 18,000 feet has just begun its descent, and it will descend at a rate of 450 feet per minute.
Which of these equations represents the airplane's altitude, y, in feet after it has been descending for x minutes?
A. y equals negative 450 x minus 18,000
B. y equals negative 450 x plus 18,000
C. y equals 450 x minus 18,000
D. y equals 450 x plus 18,000
Answer:
Choice B
y = -450x +18,000
Step-by-step explanation:
18,000 = b
descent rate = 450 = m
x = minutes
The information systems department of your firm has developed a new database program to store critical information on point of sale purchases. The purchases are made during a busy time of day when the computer is performing many tasks so the amount of computer time used for each transaction is very critical. The old database program would take an average of 55 milliseconds to retrieve one piece of data. The IS department hopes the new program will reduce this time to retrieve data. The new program was tested during a typical day. The number of data retrievals was 144 and the average time to retrieve a piece of data was 53 milliseconds with a sample standard deviation of 16 milliseconds.
a) State the null and alternative hypothesis.
b) Calculate the test statistic.
c) Using the P-value approach in your decision making, at the 0.05 level of significance, is there evidence that the new computer program has reduced the time to retrieve the data? Report p-value and use it to support your conclusion.
d) Does your conclusion in part c) change if an a of 0.025 is used?
Step-by-step explanation:
x'=53
σ=16
n=144
a) hypothesis
H0:µ=55
Ha:µ<55
This is a left tailed test
b) Test statistics
z=(x'-u)/(sigma/sqrt {n})=(53-55)/(16/sqrt{144})
=-1.5
c)Pvalue at z=|-1.5|
pvalue= p(z>1.5)
=1-0.933193
=0.066807
=0.0668
Decision
since pvalue>alpha(0.05) fail to reject the null hypotheis.
Conclusion
There is not sufficient evidence to support the claim the new computer program has not reduce the time to retrieve the data.
d)since Pvalue>alpha(0.025),so fail to reject the null hypothesis.
No, change in conclusion.
What is y=4^-x as a percentage to the nearest tenth? Please help!
Answer: To convert a number into percent multiple it by 100 and then add the percent sign. These examples convert the numbers 23 and 158 to percents. To convert a number with a decimal into percent, multiply it by 100 and add the percent sign. These examples convert 0.4580; 0.0257; and 0.00458.
Hope this help
Step-by-step explanation:
Given that cos 43° 0.731, enter the sine of a complementary angle.
sin
Answer:
sin 47° = 0.731
Step-by-step explanation:
the complementary angle to 43° is 47°
sin 47° = 0.731
Answer:
0.731
Step-by-step explanation:
Because of the identity
cos x = sin(90-x).
- У
D 14x
. A high-school band has d drummers
and 10 violinists. There are 2 more
violinists than drummers. Which of the
following equations represents the
situation?
A d= 10 + 2
B d= 10-2
Cd=2 - 10
D d= 2 x 10
explain it how a 9th grader would
Answer:
a) The golf ball reaches a height of 64 feet.
b) The golf ball will take 2 seconds to reach maximum height.
c) The golf ball will take 4 seconds to land after being hit.
d) The golf ball will be 48 feet above ground 1 and 3 seconds after being hit.
Step-by-step explanation:
a) The parabolic motion of the golf ball is described by a second order polynomial, that is, the equation of the parabola. To determine the maximum height of the golf ball, we need to transform the equation of the parabola given into vertex form:
[tex]h = -16\cdot (t^{2}-4\cdot t)[/tex]
[tex]h - 64 = -16\cdot (t^{2}-4\cdot t + 4)[/tex]
[tex]h - 64 = -16\cdot (t-2)^{2}[/tex]
From this form we can obtain relevant information of the maximum height of the golf ball, contained in the left side of the equation. On this approach, we conclude that the golf ball reaches a height of 64 feet.
b) The time taken by the golf ball is contained in the right side of the formula. That is, the golf ball will take 2 seconds to reach maximum height.
c) In this case, we need to factor the polynomial to find right times, that is:
[tex]h = 64\cdot t - 16\cdot t^{2}[/tex]
[tex]h = 16\cdot t \cdot (4 - t)[/tex]
The time taken by the golf ball to land is contained in the second binomial. In a nutshell, the golf ball will take 4 seconds to land after being hit.
d) If we know that [tex]h = 48[/tex], the time taken by the golf ball to be 48 feet above the ground is:
[tex]64\cdot t - 16\cdot t^{2} = 48[/tex]
[tex]16\cdot t^{2}-64\cdot t +48 = 0[/tex]
By Quadratic Formula, we have the following roots:
[tex]t_{1} = 3[/tex], [tex]t_{1} = 1[/tex]
The golf ball will be 48 feet above ground 1 and 3 seconds after being hit.
there are 50 pupils in a class out of this 1/10 speak french only and 4/5 of the remainder speak both french and english. if the rest speak to english only, find the number of students who speaks both english and french?
English only?
Answer:
English and French:40 and English:10
Step-by-step explanation:
English and French:4÷5×50
=40
English:1÷10×50
=10
Find the area of this triangle
Use Heron's formula.
A = sqrt{(s - a)*s - b)(s - c)}, where a, b, and c represent the sides of the triangle.
We need to find s first.
So, s = (a + b + c)/2.
s = (13 + 6 + 9)/2
s = 28/2
s = 14
We now plug everything into the Heron's area formula.
A = sqrt{(14 - 13)(14 - 9)(14 -6)}
A = sqrt{(1)(5)(8)}
A = sqrt{40}
A = 6.3245553203
Let us now round to one decimal place as instructed. We round to the tenths place, in other words.
A = 6.3 cm^2
Did you follow?
2x - 5 < 33 what are all the values to this inequality
Answer:
x < 19
Step-by-step explanation:
Given that,
An inequality 2x - 5 < 33.
LHS of the inequality is 2x - 5
RHS of the inequality is 33
LHS < RHS
i.e.
2x - 5 < 33
Add 5 to both sides of the inequality
2x - 5 +5 < 33+5
2x < 38
Divide both sides by 2.
x < 19
So, the value of x is less than 19.
Hi, will ya'll please help me..?
Answer:
1. 48
2. 45
3. 32
4. B
Step-by-step explanation: Hope this help :D
Eva is a hairdresser. Before her lunch break, she gave 4 haircuts and colored the hair of 4 clients in 376 minutes. After lunch, she gave 2 haircuts and colored the hair of 4 clients in 336 minutes. How long does it take for Eva to perform each type of service, assuming the amount of time doesn't vary from client to client?
Step-by-step explanation:
ratio 6:8
376+336=712
6+8=14
712/14=50.86
haircut= 50.86*6=305.16
colour= 50.86*8=406.88
i hope this helps
The hypotenuse of a right triangle is 8 meters longer than the shortest leg. The longest leg is 4 meters. Longer than the shortest leg find the length of the longest leg
Answer:
the leg is 6.9
Step-by-step explanation:
use the reverse Pythagorean therm
find the square root of 8(squared) - 4(squared) =6.9
pls help thx x, wont take to long:)
Paulo gave half of his candies to Pablo. Pablo gave half of his candies to Paulina. Paulina gave 1/4 of the candies given to her to Paulette and kept the remaining 27. How many candies did Paulo start with?
What is the equation of the line perpendicular to y=1/2x+6 that passes through points 4,1