Answer:
36 ft^2
Step-by-step explanation:
Perimeter = 4 + 4 + 2 +2 = 12 feet
12 feet x 3 feet high = 36 ft^2
Graph the result of the following transformation on f(x)
The graph would be the normal parent function of f(x) but all points would be 6 units up.
There's an upward vertical shift of 6. To graph this, you need to graph the function f(x) and then add 6 units to all the y values.
find the area of quadrilateral
Answer:
here is answer try this type
which one is it? I will give you twenty points, if you will answer
Answer:
A fraction equivalent to [tex]\frac{1}{2}[/tex] on the number line is [tex]\frac{3}{6}[/tex].
Drag the dot to [tex]\frac{3}{6}[/tex] on the number line.
Step-by-step explanation:
3 is half of 6. To check if this is correct multiply [tex]\frac{1}{2}[/tex] and 3.
[tex]\frac{1}{2}*3=\frac{3}{6}[/tex]
Hope this helps!
If not, I am sorry.
What is this function written in vertex form? f(x) = (x 2)2 3 f(x) = (x2 2x)2 3 f(x) = (x 1)2 2 f(x) = (x 3)2 2x
The vertex form of the give quadratic equation is f(x) = (x+1)² + 2
Vertex form of an equationThe standard vertex form of a quadratic equation is expressed as
y = a(x -h)² + k
where (h, k) is the vertex
Given the quadratic equation
f(x) = x^2 + 2x + 3
Complete the question
f(x) = (x^2+2x) + 3
f(x) = (x^2+2x+1)-1 + 3
f(x) = (x+1)² + 2
Hence the vertex form of the give quadratic equation is f(x) = (x+1)² + 2
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what is
f(-1)=-3x^{2}+7x+4
Step-by-step explanation:
please mark me as brainlest
f(x) = x + 6 , find the ordered pair when x = -2.
(-2,4)
(2,-4)
(-2,-4)
(2,4)
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{Option A, (-2, 4)}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{f(x) = x + 6}[/tex]
Find: [tex]\textsf{f(-2)}[/tex]
Solution: We need to plug in the value -2 into every variable x that we have in the expression and simplify to get the solution.
Plug in the values
[tex]\textsf{f(x) = x + 6}[/tex][tex]\textsf{f(-2) = -2 + 6}[/tex]Simplify
[tex]\textsf{f(-2) = -2 + 6}[/tex][tex]\textsf{f(-2) = 4}[/tex]Therefore, the ordered pair that would match would have a x-coordinate of -2 and a y-coordinate of 4 producing (-2, 4) which matches option A.
One of the five quadratics below has a repeated root. (The other four have distinct roots.) What is the repeated root?
$\begin{align*}
&-x^2 + 18x + 81 \\
&3x^2 - 6x + 9 \\
&8x^2 - 32x + 32 \\
&25x^2 - 30x - 9 \\
&x^2 - 14x + 196
\end{align*}$
Answer:
Step-by-step explanation:
The quadratic expression having repeated root is 8x² - 32x + 32.
What are Quadratic Expressions?Quadratic expressions are polynomial expressions of second degree.
The general form of a quadratic expression is ax² + b x + c.
We have to find the root of each quadratic expression.
-x² + 18x + 81 = 0x² - 18x - 81 = 0
Discriminant = [tex]\sqrt{(-18)^2-(4*-81)}[/tex] = [tex]\sqrt{648}[/tex]
x = (18 + √648) / 2 or x = (18 - √648) / 2
Distinct roots
3x² - 6x + 9x² - 2x + 3
Discriminant = [tex]\sqrt{(-2)^{2}-(4*3) }[/tex] = [tex]\sqrt{-8}[/tex]
x = (2 + [tex]\sqrt{-8}[/tex]) / 2 or x = (2 - [tex]\sqrt{-8}[/tex]) / 2
Distinct roots
8x² - 32x + 32
x² - 4x + 4Discriminant = [tex]\sqrt{(-4)^{2}-(4*4) }[/tex] = 0
x = (4 + 0)/ 2 or x = (4 - 0) / 2
x = 2 or x = 2
Repeated roots
Hence the quadratic expression having repeated roots is 8x² - 32x + 32.
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The product of 2 more than 3 times a number and 6 less than 4 times the number (z)
Answer:
[tex]12z^{2} -10z -12[/tex]
Step-by-step explanation:
Let the number be z
2 more than 3 times z ==> 3z + 2
6 less than 4 times z ==> 4z - 6
Product of the above two is
[tex](3z + 2) (4z - 6) \\= (3z)(4z) + (3z)(-6) + (4z)(2) + (2)(-6)\\= 12z^{2} -18z + 8z - 12\\= 12z^{2} -10z -12[/tex]
What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.
Answer:
Step-by-step explanation:
Comment
x and 133 sit on the the same straight line with MO in common. Therefore they are supplementary which means that the add to 180o.
Equation
x + 133 = 180
Solution
Subtract 133 from both sides
x + 133 = 180
x + 133 - 133 = 180 - 133
x = 47 degrees.
Answer
x = 47
Brandon is a running back for his local high school football team. In the last game, he carried the ball 8 times. In the first 5 carries, he gained 6 yards, 12 yards, and 4 yards before losing 2 yards and then losing additional yards. His last 7 carries combined for yards. What was his total net yardage for the game?
Using it's concept, it is found that Brandon's net yardage for the game was of 26.
How to find the net yardage?The total net yardage is the sum of all the yardage they gain, that is, the positive gains are added with a plus signal, while the negative gains are added with a negative signal.
Hence, his net yardage, considering that he gained 20 yards on his last 7 carries, is given by:
6 + 20 = 26.
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Factor this expression completely 9x^2 - 72x + 8
The solution for the given equation will be x=7.8873 and x=0.112699.
What is a quadratic equation?The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.
Find the Solution for
9x²−72x+8=0
using the Quadratic Formula where
a = 9, b = -72, and c = 8
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\dfrac{(-72)\pm\sqrt{(-72)^2-4(9)(8)}}{2(9)}[/tex]
x= [tex]\dfrac{72\pm4896}{\sqrt{18}}[/tex]
The discriminant b2−4ac>0
so, there are two real roots. After solving for plus and then minus we will get two values as follows.
x=7.8873
x=0.112699
Therefore the solution for the given equation will be x=7.8873 and x=0.112699.
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Which points can be connected to draw a line of symmetry through this diamond?
Drag and drop an answer to the box to complete the statement. please answer asap!
The line is drawn at point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.
What is a line of symmetry?It is defined as the line which will make exactly two halves with similar shape and size in geometry. For a two-dimensional shape, there is a line of symmetry, and for three-dimensional shapes, there is a plane of symmetry. In other words, if we make a mirror image of the shape around the line of symmetry, we will get exactly the same half portion.
We have given a figure in the picture.
The figure is a quadrilateral(a kite)
As we know, lines of symmetry make exactly two halves with similar shapes and sizes.
IF we draw a line from Point A to Point C we will get two similar and figures in size and shape.
Thus, the line is drawn point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.
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Answer:
point C
Here is a step-by-step explanation of the statement:
1. Draw a point B and a point C on a piece of paper or a computer screen.
2. Draw a straight line that goes through both point B and point C.
3. Fold the paper along the line you just drew, so that the line is the fold line.
4. Notice that if you were to fold the paper exactly in half along the line, point B would match up with its reflection on the other side of the line, and point C would match up with its reflection on the other side of the line.
5. This means that the line you drew is a line of symmetry, because it divides the paper into two identical halves that can be folded together.
6. Therefore, the statement "A line drawn through point B and point C is a line of symmetry" is true.
write √a^8a^3 as an algebraic expression using a rational exponent
Answer:
A
Step-by-step explanation:
I assume that the whole expression a⁸a³ is under the square root.
then remember 2 things :
1. when multiplying the same base variable (or constant) the result is that single base variable (or constant) to the power of the sum of the exponents.
e.g. x³x² = x⁵ because
x×x×x × x×x = x×x×x×x×x = x⁵
2. a square root as exponent is 1/2.
a cubic root is 1/3 and so on.
therefore
sqrt(a⁸a³) = sqrt(a¹¹) = a^11/2
All else being equal, if you cut the sample size in half, how does this affect the margin of error when using the sample to make a statistical inference about the mean of the normally distributed population from which it was drawn? m e = startfraction z times s over startroot n endroot endfraction.
b) Another sequence is defined using this term-to-term rule, Un+1 = kun + r where k and rare constants. Given that u₁ = 37, U₂= 188 and u3 = 943, find the value of k and the value of r. b ) Another sequence is defined using this term - to - term rule , Un + 1 = kun + r where k and rare constants . Given that u₁ = 37 , U₂ = 188 and u3 = 943 , find the value of k and the value of r .
The values of k and r are given by 5 and 3 respectively.
Here in this problem it is given that,
General formula for the sequence is given by,
[tex]U_{n+1}=kU_n+r[/tex]
First term of the sequence, [tex]U_1=37[/tex]
Second term,
[tex]U_2=188[/tex]
[tex]U_{1+1}=188[/tex], rearranging
[tex]kU_1+r=188[/tex], applying general formula
[tex]37k+r=188[/tex]..........(1)
Third term,
[tex]U_3=943[/tex]
[tex]U_{2+1}=943[/tex], rearranging
[tex]kU_2+r=943[/tex], applying general formula
[tex]188k+r=943[/tex]..........(2)
Now (2) - (1) we get,
188k+r-37k-r = 943-188
151k = 755
k = 755/151 = 5
Hence the value of k is 5.
Substituting the value of k in (1) we get,
37*5+r = 188
185+r = 188
r = 188-185 = 3
Thus the value of r is 3.
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Toby has $31 to buy t-shirts for his bowling team. each t-shirt costs $5. how many t-shirts can he buy?
Answer:
6 because 30 divided by 5 is 6 so he would have 1$ change
Answer:
Toby can buy 6 T-shirts with 1 extra dollar leftover
Step-by-step explanation:
Hook me up with a 5 star and a thanks :)
If m < 0 and b > 0, the graph of y = mx + b does not pass through which quadrant?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer: Quadrant III
Step-by-step explanation:
The slope is negative and the y-intercept is positive.
This means that it is impossible for both x and y to be negative, and thus it does not pass through Quadrant III
What is the value of y? 17.5ft 12.5ft 11.6ft 16.5ft
Answer:
y = 16.5 ft
Step-by-step explanation:
• in the right triangle BCD :
cos(∠BCD) = 8/14
________
• In the right triangle ABC :
cos(∠BCA) = 14/(8+y)
________
Since ∠BCD and ∠BCA are the same one
then
cos(∠BCD) = cos(∠BCA)
Therefore
[tex]\frac{8}{14} =\frac{14}{y+8}[/tex]
[tex]\Longleftrightarrow 8(y+8)=14^2[/tex]
[tex]\Longleftrightarrow 8y+64=196[/tex]
[tex]\Longleftrightarrow 8y=196-64[/tex]
[tex]\Longleftrightarrow 8y=132[/tex]
[tex]\Longleftrightarrow y=\frac{132}{8}[/tex]
[tex]\Longleftrightarrow y=16.5[/tex]
Of the students at milton middle school, 132 are girls. if 55% of the students are girls, how many total students are there at milton middle school?
Answer:
There are 240 students in the school
Step-by-step explanation:
Givens
55% of the total number of students in a school are girls.
Equation
55/100 * x = 132
Solution
Multiply both sides of the equation by 100
55/100x * 100 = 132 * 100
55x = 13200 Divide by 55
55x/55 = 13200/55
x = 240
0.33632287 to 3sf please
Answer:
.
Step-by-step explanation:
Sonam says that the 20th figure in this pattern has 400 small triangles. do you agree? explain your thinking.
Answer:
No. There should be 210 small triangles
Step-by-step explanation:
The number of small triangles in these figures forms a sequence
Fig No Small Triangles
1 1
2 3 (1+2)
3 6 (1+2+3)
So the nth figure should have 1+2+3+.....+(n-1)+ n
1+2+3+.....+(n-1)+ n = [tex]\frac{n (n-1)}{2}[/tex]
So for 20th figure, n = 20 and number of small triangles = 20 x 21 /2 = 420/2 = 210
What value of n makes the equation true?
-1/5n+7=2
n=
[tex] \frac{ - n}{5} + 7 = 2 \\ \\ \frac{ - n + 35}{5} = 2 \\ \\ - n + 35 = 10 \\ \\ - n = 10 - 35 \\ \\ - n = - 25[/tex]
cancel (-) sign both sides ,
[tex]n = 25.[/tex]
Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.
Solve -17 + n/5 = 33.
Answer:
n = 250
See solution and check blow.
Step-by-step explanation:
Solution:
-17 + n/5 = 33
Add 17 to both sides.
-17 + 17 + n/5 = 33 + 17
n/5 = 50
Multiply both sides by 5.
n/5 × 5 = 50 × 5
n = 250
Check:
-17 + n/5 = 33
Since we found out that n = 250, substitute 250 for n in the equation.
-17 + 250/5 = 33
Simplify the left side. Divide 250 by 5.
-17 + 50 = 33
Add on the left side.
33 = 33
Since 33 = 33 is a true statement, the solution n = 250 is correct.
A website sells a dress at £20 and shoes at £25. The website has an offer: Buy a dress and shoes together and get 1 3 off the price. There is also a shipping and handling charge of £4 added at the end, after any discount. If Ruth buys both a dress and shoes, how much will she actually pay?
£36
20+25=45 Take away 13 and it's 32. 32+4 (the shipping charge) is 36. So Ruth pays 36 pounds.
Find the interest rate for a principal of $8635 and charged $33549 in interest for 11 years.
Round your answer to 1 decimal place.
Answer:
rate = 0.4 %
Step-by-step explanation:
Interest = principal x rate x time
33549 = 8635 x r x 11
33549 = 94985r
r = 33549/94985
r = 0.3532
r = 0.4
rate = 0.4 %
is 4+-x equivalent to 4-x
Answer:
Yes
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
4 + -x ==> 4 - x
Example
x = 3; 4 + (-3) = 4-3 =1
Find the solution:
3x + 2y = 12
-2x + 3y = 5
Answer:
x = 3
y = 2
Step-by-step explanation:
3x + 2y = 12
-2x + 3y = 5 to find the solution we will use elimination method and for that, multiply second equation with 3 and the first equation with 2
2 * 3x + 2y = 12
6x + 4y = 24
3 * -2x + 3y = 5
-6x + 9y = 15 now find the sum of both equation:
6x + 4y -6x + 9y = 24 + 15 add like terms
13y = 39 divide both sides by 13
y = 3 now that we found the value of y we can use this to calculate the value of x
3x + 2y = 12 replace y with 3
3x + 2*2 = 12
3x + 4 = 12 subtract 4 from both sides
3x = 9 divide both sides by 3
x = 3
Help anyone? Simple problem
Answer:x>7
Step-by-step explanation:
Its saying a nuber greater than 7 and 3 plus 8 would be 11
What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x? 1. The distributive property: 4x – 12 + 4 < 10 + 6x 2. Combine like terms: 4x – 8 < 10 + 6x 3. The addition property of inequality: 4x < 18 + 6x 4. The subtraction property of inequality: –2x < 18 5. The division property of inequality: ________ x < –9 x > –9 x < x is less than or equal to negative StartFraction 1 Over 9 EndFraction. x > –x is greater than or equal to negative StartFraction 1 Over 9 EndFraction.
The inequality 4(x – 3) + 4 < 10 + 6x is solved as x > -9. Then the variable x is greater than the negative 9. Then the correct option is B.
What is inequality?Inequality is defined as an equation that does not contain an equal sign.
The inequality equation is given below.
4(x – 3) + 4 < 10 + 6x
Then the steps of solving are given below.
1. The distributive property: 4x – 12 + 4 < 10 + 6x
2. Combine like terms: 4x – 8 < 10 + 6x
3. The addition property of inequality: 4x < 18 + 6x
4. The subtraction property of inequality: –2x < 18
5. The division property of inequality: x > –9
Then x is greater than the negative 9.
Then the correct option is B.
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Simplify each expression
3+8b+4+7b-3
Answer:
9. 15b + 4
10. 4y + 6
11. 15r+72
12. 130n + 20
Step-by-step explanation:
9. Combine Like terms
10. Combine Like terms
11. Distribute the 8 into (r + 9) then combine like terms
12. Distribute 10 into (3n + 2 + 10n) then combine like terms
Answer:
[tex]\mathsf {9) 15b + 4}\\\mathsf {10) 4y + 6}\\\mathsf {11) 15r + 72}\\\mathsf {12) 130n + 20}[/tex]
Step-by-step explanation:
[tex]\textsf {Question 9}[/tex]
[tex]\mathsf {3 + 8b + 4 + 7b - 3}[/tex]
[tex]\mathsf {8b + 7b + 4 + 3 - 3}[/tex]
[tex]\mathsf {15b + 4}[/tex]
[tex]\textsf {Question 10}[/tex]
[tex]\mathsf {8 + 7y - 3y + 2 - 4}[/tex]
[tex]\mathsf {7y - 3y + 8 + 2 - 4}[/tex]
[tex]\mathsf {4y + 6}[/tex]
[tex]\textsf {Question 11}[/tex]
[tex]\mathsf {8(r + 9) + 7r}[/tex]
[tex]\mathsf {8r + 8(9) + 7r}[/tex]
[tex]\mathsf {8r + 7r + 72}[/tex]
[tex]\mathsf {15r + 72}[/tex]
[tex]\textsf {Question 12}[/tex]
[tex]\mathsf {10(3n + 2 + 10n)}[/tex]
[tex]\mathsf {10(13n + 2)}[/tex]
[tex]\mathsf {10(13n) + 10(2)}[/tex]
[tex]\mathsf {130n + 20}[/tex]
