Answer:
Step-by-step explanation:
x^2+2x-9=15
x^2+2x=24
x^2+2x+1=24+1
(because what you do to one side you do to the other) ^
(x+1)^2=25
(x+1)^2 -25=0
(25 is a perfect square)
(x+1-5)(x+1+5)
(x-4)(x+6)
x=4,-6
Answer: x=-6; x=4
Step-by-step explanation:
How many tables are needed ~~~~~PLEASE HELP
Answer:
it would be 5 tables
Step-by-step explanation:
1:6
2:10
3:14
4:18
5:22
just count by 4
Find the missing part. l = 8, w = 4, h = 2 Find the diagonal (d) of the base.
pythagoras
a^2 = b^2 + c^2
a^2 = (8)^2 + (4)^2
a^2 = 64 + 16
a^2 = 80
[tex]a = \sqrt{80} [/tex]
Answer:
The length of the diagonal (d) = 4[tex]\sqrt{5}[/tex] units.
Step-by-step explanation:
We are given the length (l) = 8, width (w) = 4 and height (h) = 2.
Now we have to find the diagonal of the base.
The given figure is a rectangle box. The base of the rectangular box is a rectangle with the length (l) = 8 and the width(w) = 4
The length of the diagonal (d) = [tex]\sqrt{l^2 + w^2}[/tex]
d = [tex]\sqrt{8^2 + 4^2}[/tex]
d = [tex]\sqrt{64 + 16}[/tex]
d = [tex]\sqrt{80}[/tex]
d = [tex]\sqrt{16} \sqrt{5}[/tex]
d = 4[tex]\sqrt{5}[/tex]
So, the length of the diagonal (d) = 4[tex]\sqrt{5}[/tex] units.
Which expression represents the number of coins Sarah has.
Sarah has 16 coins, but spends some of them during the day.
A. C - 16
B. 16c
C. 16 - c
D. 16 + c
This answer gone be c.16-c
Answer:
is it 16 c or not
Step-by-step explanation:
Ameri is standing 50 feet from the base of a building from where he stands the angle formed between the top of the building in the ground at his feet is 60 how tall is the building
Answer:
The answer would be...
Step-by-step explanation:
50 square root of 3 ft
Answer:
The answer is C.50 StartRoot 3 EndRoot ft
Step-by-step explanation:
A Circle Has a radius of six inches what is the exact length of an arc formed by a central angle measuring 45 degrees
[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6\\ \theta =45 \end{cases}\implies s=\cfrac{(45)\pi (6)}{180}\implies s=\cfrac{3\pi }{2}\implies s\approx 4.7[/tex]
if you horizontally stretch the quadratic parent function, f(x)=x^2, by a factor of 3, what is the equation of the new function?
Answer: [tex]g(x)=\frac{1}{9}x^2[/tex]
Step-by-step explanation:
By definition, he quadratic parent function [tex]f(x)=x^2[/tex] is the simplest form of a quadratic function.
By definition, if the fucntion is multiplied by the factor b and:
|b|>0 the function is stretched.
If 0<|b|<1 the function is compressed.
Then the new function will have the form:
[tex]g(x)=(\frac{1}{b}x)^2[/tex]
Therefore, keeping the above on mind, if b=3, then the new function is:
[tex]g(x)=(\frac{1}{3}x)^2[/tex]
[tex]g(x)=\frac{1}{9}x^2[/tex]
Answer: g(x)=(1/3(x))^2
Step-by-step explanation:
If g(x)=x^2+2find g (3)
Answer:
3^2 = 9
9+2 = 11
g(3)= 11
Step-by-step explanation:
ANSWER
[tex]g(3) = 11[/tex]
EXPLANATION
The given function is
[tex]g(x) = {x}^{2} + 2[/tex]
We substitute b x=3 into the function to obtain;
[tex]g(3) = {3}^{2} + 2[/tex]
Simplify;
[tex]g(3) = 9 + 2[/tex]
[tex]g(3) = 11[/tex]
what is 4 apples per pound
Answer:
It actually really depends on the size of the apples, say 1 pound of aan apple should be approx 3 medium-sized apples, so maybe for 3 pounds of an apple it would be around 9 medium sized apples.
Solve for x. |x| – 5 = 7
Answer:
x = 12Step-by-step explanation:
x - 5 = 7
⇒ x = 7 + 5 = 12
To solve for x, add 5 to both sides of the equation and then determine the absolute value of x.
Explanation:To solve for x in the equation |x| – 5 = 7, we need to isolate x on the left side of the equation. To do this, we can add 5 to both sides:
|x| – 5 + 5 = 7 + 5
|x| = 12
Now, we have an absolute value equation. The absolute value of a number is its distance from zero. Therefore, we have two possible solutions: x = 12 or x = -12.
Learn more about Solving absolute value equations here:https://brainly.com/question/35476527
#SPJ2
Given h(f)=-2(t+5)^2 +4, find h(-8)
Answer:
h(-8) = 22
Step-by-step explanation:
Plug -8 in for t and simplify...
h(-8) = 2(-8 + 5)² + 4
h(-8) = 2(-3)² + 4
h(-8) = 2(9) + 4
h(-8) = 18 + 4
h(-8) = 22
Answer:
Step-by-step explanation:
Given h(f)=-2(t+5)^2 +4
There is an intermediate step which is
h(f) = -2(f + 5)^2 + 4
h(-8) = -2(-8 + 5)^2 + 4
h(-8) = -2(-3)^2 + 4
h(-8) = -2(9) + 4
h(-8) = -18 + 4
h(-8) = - 14
A very small town has only five residents with the following incomes (all in thousands): $33, $24, $22, $45, $99. Find the median income.
Answer:$33,000
Step-by-step explanation:
Answer:
a.33,000
Step-by-step explanation:
Simply the expression 6x^2(3x)
Answer:
[tex]\large\boxed{6x^2(3x)=18x^3}[/tex]
Step-by-step explanation:
[tex]6x^2(3x)=(6\cdot3)(x^2x)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=18x^{2+1}=18x^3[/tex]
A distribution has a mean of 16 and a standard deviation of 6. What is the Z score that corresponds with 34?
Answer:
Z = 3
Step-by-step explanation:
In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;
[tex]Z=\frac{x-mean}{standard deviation}[/tex]
For the case given, the z score will be;
[tex]Z=\frac{34-16}{6}=3[/tex]
The bases of a trapezoid are 20 and 32 feet. The height of the trapezoid is 6 feet
Answer:
The Answer is 156
Step-by-step explanation:
A=(B1+B2)H/2
1) to find the area of a trapezoid you must First add the 2 bases
20+32= 52
2) Then Multiply the 2 bases sum by the Height
52 x 6 = 312
3) divide the product 312 By 2
312/2= 156
That is Your answer!
Hopes this helps!
For the area of a trapezoid use formula: Area = (BaseX+BaseY) times Height divided by 2.
so for this problem you’d plug in (20+32) times 6 then divide it by two.
20+32=52 times 6 equals 312
Divide by 2 and you get 156.
Area= 156
Mr. broun paid $3.30 in tax on a $55 motel bill. What percent of $55 was the Tax?
Answer:
That would be 6%.
Answer:
6%
Step-by-step explanation:
55(x)= 3.30
3.30/55 = .06
x=.06 which equals 6%
A dinner plate has a diameter of 14 inches. Approximately how many square inches is the area of the plate?
Answer:
153.94 square inches
Step-by-step explanation:
A = Pi(r)^2
A = Pi(7)^2
A = Pi(49)
A = 153.93804
Answer: 153.938 [tex]in^{2}[/tex]
Step-by-step explanation:
π = 3.14 and d = diameter
* Hopefully this helps:) Mark me the brainliest:)
∞ 234483279c20∞
Select the correct answer.
What would be the tax amount to be paid on $22,000 taxable income according to the marginal tax rate (tax rate below $9,225 is 10%, and between $9226 and $37,450 is 15%)?
A: $2536.50
B: $3123.25
C: $2838.75
D: $1225.25
Answer:
I'd go with B because it's closest, not sure if some context is missing to get an exact answer....
Step-by-step explanation:
22000 falls in the 15% tax rate bracket
Tax=income•rate
Tax=22000•(15/100)
Tax=3300
Answer:
The answer is C
Step-by-step explanation:
what’s the area
A. 64
B. 44
C. 30.25
D. 13.75
Answer:
B) 44
Step-by-step explanation:
Let's start with the triangles. Normally, when dealing with triangles, you would use the formula (B*H*1/2), but since there's two identical triangles, we can just do (B*H) and get the area for both:
2.5*5.5=13.75
Then to solve for the square, it is also (B*H):
5.5*5.5=30.25
At this point, to solve for the total area, you just add the areas together:
13.75+30.25=44
Hope this helps!
Answer: B. 44
Step-by-step explanation: The area of a rhombus is base times height. The height is 5.5 cm, and the base is 8 cm. To find the base, add 2.5 and 5.5.
8 x 5.5 = 44
The area is 44 cm^2
Write 33% as a fraction in simplest form
Answer: the answer to 33% is around 1/3
Step-by-step explanation:
Answer:
33/100
Step-by-step explanation:
There is no way to simplify
What is the pattern in the values as the exponents increase?
Answer:
Multiply the previous value by 2
Step-by-step explanation:
As the exponents increase,
(that is, they go from negative to positive)
-5,-4,-3,-2, -1,0
------------------------>
We see that each previous value is multiplied by a factor of 2
We can see the graph of the values in the picture below
[tex] {x}^{2} - 64[/tex]
(x-8) (x+8) is the answer
I need to answer this and also EXPLAIN how I got it. Help pls
Answer:
1+4*2=10
Step-by-step explanation:
1 + 4 is equal to 5 then multiply 5 by 2 and you get 10
Step-by-step explanation:
Let's solve for x.
x+4y=10
Step 1: Add -4y to both sides.
⇒x+4y+−4y=10+−4y
⇒x=−4y+10
Answer:
x=−4y+10
* Hopefully this helps:) Mark me the brainliest:)!!
What is the third quartile of this data set? *I NEED THE HELP ASAP* thx
I think the answer is 44
Which if the following best describes a pair of angles that combine to form a straight angle.
A. Vertical Angles
B. Supplementary Angles
C. Complementary Angles
D. Linear Pair
Answer:
The answer to this is B, because supplementary angles sum up to 180 degrees, which means it is a straight angle.
Answer:
Option B and D
Step-by-step explanation:
Given are four options and we have to select the one which form a straight angle.
The given options are
A. Vertical Angles ... Vertical angles are formed when two lines intersect and hence cannot combine to form a straight angle. Incorrect option.
B. Supplementary Angles ... Supplementary angles are a pair of angles which add upto 180 degrees and hence they form a straight angle. Correct option
C. Complementary Angles ... These pair add up to 90 degrees and cannot combine to form a straight angle. .. Incorrect
D. Linear Pair ... A linear pair is a pair of angles formed on a straight line and hence correct option.
Besides 6 and 1, what is one factor of 6?
Three times two equals six
Another factor of 6, besides 6 and 1, is 3. Factors are numbers that divide into another number without leaving any remainder. Both 2 and 3 are factors of 6 since 2 multiplied by 3 equals 6.
Besides 6 and 1, another factor of 6 is 3.
Factors are whole numbers that divide evenly into another number. For the number 6, the factors are 1, 2, 3, and 6. The process of factoring involves finding all numbers that you can multiply together to get the number in question. In this case, 2 multiplied by 3 equals 6.
We can also verify this by noting that dividing 6 by 3 gives us 2 with no remainder, confirming that 3 is indeed a factor of 6.
Which of these functions has an inverse function? Select all that apply.
y = x
y = x^2
y = x^3
y = x^4
ANSWER
y=x
y=x³
EXPLANATION
A function, f(x) has an inverse if and only if
[tex]f(a) = f(b) \Rightarrow \: a = b[/tex]
Thus, the function is one to one.
For y=x or
[tex]f(x) = x[/tex]
[tex]f(a) = f(b) \Rightarrow \: a = b[/tex]
Hence this function has an inverse.
For the function y=x² or f(x)=x².
[tex]f(a) = f(b) \Rightarrow \: {a}^{2} = {b}^{2} \Rightarrow \: a = \pm \: b[/tex]
This function has no inverse on the entire real numbers.
For the function y=x³ or f(x)=x³
[tex]f(a) = f(b) \Rightarrow \: {a}^{3} = {b}^{3} \Rightarrow \: a = b[/tex]
This function also has an inverse.
For y=x⁴ or f(x) =x⁴
[tex]f(a) = f(b) \Rightarrow \: {a}^{4} = {b}^{4} \Rightarrow \: a = \pm \: b[/tex]
This function has no inverse over the entire real numbers.
Answer:
The function [tex]x=y[/tex] and [tex]y=x^{3}[/tex] are inverse function.
Step-by-step explanation:
Function inverse definition:
If a provided function f(x) is mapped x to y, then the inverse of the provided function f(x) is mapped y to x.
Or [tex]f(x)=f(y)\Rightarrow x=y[/tex]
Now, consider the function y = x.
Interchange the variables x and y.
[tex]x=y[/tex]
Now, solve [tex]x=y[/tex] for [tex]y[/tex].
[tex]x=y[/tex]
Therefore, this function has an inverse.
Consider the function [tex]y=x^{2}[/tex].
Interchange the variables x and y.
[tex]x=y^{2}[/tex]
Now, solve [tex]x=y^{2}[/tex] for [tex]y[/tex].
[tex]\pm \sqrt{x} =y[/tex]
Therefore, the function has no inverse.
Consider the function [tex]y=x^{3}[/tex].
Interchange the variables x and y.
[tex]x=y^{3}[/tex]
Now, solve [tex]x=y^{3}[/tex] for [tex]y[/tex].
[tex]\sqrt[3]{x}=y[/tex]
Therefore, the function has inverse.
Consider the function [tex]y=x^{4}[/tex].
Interchange the variables x and y.
[tex]x=y^{4}[/tex]
Now, solve [tex]x=y^{4}[/tex] for [tex]y[/tex].
[tex]\pm \sqrt[4]{x}=y[/tex]
Therefore, the function has no inverse.
Hence, the function [tex]x=y[/tex] and [tex]y=x^{3}[/tex] are inverse function.
Lines
AB
and
AC
tangent to circle k(O) at B and C respectively. Find BC, if m∠OAB=30°, and AB=5 cm.
Answer:
5 cm
Step-by-step explanation:
If AB is tangent to the circle k(O), then radius OB is perpendicular to segment AB.
If BC is tangent to the circle k(O), then radius OC is perpendicular to segment AC.
Consider two right triangles ABO and ACO. In these triangles:
AO is common hypotenuse;∠OBA=∠OCA=90°, because AB⊥OB, AC⊥OC;OB=OC as radii of the circle k(O).By HL theorem, triangles ABO and ACO are congruent. Then
∠OAB=∠OAC=30°;AC=AB=5 cm.Hence, ∠BAC=∠OAB+∠OAC=30°+30°=60°.
Consider triangle ABC, this triangle is isosceles triangle. In isosceles triangles angles adjacent to the base are congruent, thus
∠CBA=∠BCA=1/2(180°-60°)=60°.
Therefore, triangle ABC is an equilateral triangle, so BC=AB=AC=5 cm.
What is the slope of the line with the equation 3y+5x=4
Question 4 options:
-5
−53
35
3
I think none of these are right. It's Y=-5/3x +4/3
ANSWER
[tex] - \frac{5}{3} [/tex]
EXPLANATION
The given line has equation
[tex]3y + 5x = 4[/tex]
Rewrite the equation in the form:
[tex]y = mx + b[/tex]
Add -5x to both sides.
[tex]3y + 5x - 5x = - 5x + 4[/tex]
[tex]3y = - 5x + 4[/tex]
Divide through by 3.
[tex]y = - \frac{5}{3}x + \frac{4}{3} [/tex]
Comparing to the slope intercept formula,
[tex]m = - \frac{5}{3} [/tex]
The slope is
[tex] - \frac{5}{3} [/tex]
FACTOR THE TRINOMIAL: x^2+6x+5
PLZZ HELP AND ANSWER W/ STEPS
Answer: (x + 1)(x + 5)
Step-by-step explanation:
Need to find two numbers whose product is the c-value (5) and whose sum is the b-value (6).
x² + 6x + 5
∧
1 + 5 = 6 this works!
So the factors are: (x + 1)(x + 5)
what is the surface area formula for this shape and if you could explain that would help me a lot
Answer:
I think it's A
Step-by-step explanation:
The reason is because the circle is pi r ^2 but the wedge is some kind of fraction of a circle with degree 1, like area times circumference. The question should say, which of the following is the most probable formula for SA.
Answer:
[tex]\large\boxed{C.\ S.A.=\pi r^2+\pi rl}[/tex]
Step-by-step explanation:
It's a net of a cone.
The formula of a surface area of a cone:
[tex]S.A.=\pi r^2+\pi rl[/tex]