Answer:
g(1) = 1
Step-by-step explanation:
we use the last equation since it can be used when x is not -2 or -1
if we plug in 1 in the equation the answer will be 1
I NEED HELP WITH THIS ALEKS TOPIC
subtraction/algebraic subtraction
What you have looks right, the reason for step 7 should just be algebraic subtraction since there is a DG on both sides that can be simplified out of the equation
I’m not sure what exact answer your question will allow, but it’ll be something along the lines of subtraction
Increase £139 by 28%
Give your answer rounded to 2 DP
Answer:
£177.92
Step-by-step explanation:
To increase something by 28% would be to multiply the original value by 1.28:
So to increase £139 by 28%, we do:
£139 × 1.28 = £177.92
So this is our final answer
30 points!!!!
- Part A: Explain why x = 5 makes 4x - 13 19 true but not 4x -1 < 19. (5 points)
Part B: What value from the set (6,7,8,9,10} makes the equation 5x + 2 = 47 true? Show your work (5 points)
Answer:
Part A is ≤ means less than OR equal to. < only means less than
Part B is 9
Step-by-step explanation:
A: Because it would equal 19, and 19 is equal than 19. 4(5) - 1 would equal 19, which is equal to 19, and not less than. ≤ means less than or equal to. < means less than. So its not true.
B: 47 - 2, 45. Then 5 x 9 equals 45. So 5 x 9 equals 45, then add 2 would equal 47.
Is this triangle acute, right or obtuse?
Answer:
acute
Step-by-step explanation:
Check using the Pythagorean Theorem:
A^2 + B^2 ≟ C^2
9^2 + 115 ≟ 11^2
196 > 121,
so this triangle is acute because the sum of each leg squared is longer than the length of the hypotenuse squared.
M - 125, find the measure of
Answer:
125
Step-by-step explanation:
Assuming the lines are parallel :
n = 180-125
= 55
x = n
x = 55
z = 180-55
= 125
Which quadratic function in vertex form has a vertex at (-2, 5) And passes through the point (2, -3)?
Answer:graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}
Step-by-step explanation:
y
=
−
19
9
(
x
+
3
)
2
+
5
Explanation:
If an equation representing a parabola is in vertex form such as
y
=
a
(
x
−
k
)
2
+
h
then its vertex will be at
(
k
,
h
)
. Therefore the equation for a parabola with a vertex at (-3, 5), will have the general form
y
=
a
(
x
+
3
)
2
+
5
If this parabola also passes through the point
(
0
,
−
14
)
then we can determine the
a
parameter.
−
14
=
a
(
0
+
3
)
2
+
5
9
a
=
−
19
a
=
−
19
9
So our equation in vertex form is
y
=
−
19
9
(
x
+
3
)
2
+
5
graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}
9. Determine if x + 1 is a factor of x ^ 4 - 4x ^ 2 - 4x - 1 Justify your answer.
Answer:
No
Step-by-step explanation:
x + 1 is not a factor of the polynomial because the remainder is 2 and not 0
Determine if a quadrilateral with the given vertices is an isosceles trapezoid. Show and explain all steps to prove or disprove.
A(-5,0) B(5,0) C(-3, 4) D(3, 4)
Answer:
Step-by-step explanation:
The figure below is made up of unit cubes that each have a volume of 1 cubic centimeter.
A. 7
B. 9
C. 11
D. 13
HELP PLEASE
Answer:
c. 11
Step-by-step explanation:
Bottom row: 6 cubes
middle row: 4 cubes
top row: 1 cube
11 cubes total.
From the information in the diagram, what is m ∠G?
Answer:
107⁰
Step-by-step explanation:
The m<g =107⁰
I hope it helped you
The measure of the angle ∠PGL will be equal to 107 degrees.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
In triangles ΔPGL and ΔNHE,
PG = NH (given)
GL = HE (given)
If the angle ∠PGL and ∠NHE become congruent, the triangle ΔPGL and ΔNHE will be congruent to each other.
∠PGL = ∠NHE
∠PGL = 107°
The measure of the angle ∠PGL will be equal to 107 degrees.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
The graph below shows the relationship between the number of oranges purchased and the cost. Which statement about the unit rate of the graph is true?
The unit rate is 1.
The unit rate is13
The unit rate is 3.
The unit rate is 9.
Answer: The unit rate is 1/3
Step-by-step explanation:
The slope of the line, which also represents the unit rate, is 1/3.
I toss a coin more then 60 times and i comes down tails 40% of the time. How many heads did i toss
Answer:
36.
Step-by-step explanation:
100 - 40 = 60% of heads.
60% = 0.60.
60 * 0.60 = 36.
if f(x)= 3/x+2 - /x-3, complete the following statement: The domain for f(x) is all real numbers ___than or equal to 3.
Answer:
greater probably i am guessing its just a guess it also could be lower i dont know the question isnt clear
A rectangle that measures 1 foot by 5 feet.
What is the perimeter of the rectangle?
5 feet
6 feet
12 feet
36 feet
Answer:
C. 12 feet
Step-by-step explanation:
If a rectangle measures 1 foot by 5 feet, that means that one side is 1 foot and one side is 5 feet. Since a rectangle has two sets of parallel sides, the other sides of the rectangle will also measure 1 foot by 5 feet.
Adding all of the side lengths will give us the perimeter.
1 + 5 + 1 + 5 = 12
hope this helps :)
find the area of the circumference of a circle with diameter 7yd use the value 3.14 as pie
Given,
Diameter of the circle = 7 ydHave to take the value of π as 3.14[tex] \: [/tex]
To Find,
The area and the circumference of a circle.[tex] \: [/tex]
Solution :
As, the diameter is 7 yd, therefore the radius will be 3.5 ydFirst of all, we'll find the circumference of the circle :
[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Circumference_{(circle)} = 2 \pi r}}}}}} \: \: \bigstar \\ \\[/tex]
Now, we'll substitute the required values in the formula :
[tex]\\ { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times 3.14 \times 3.5}}} \: \: \\ \\[/tex]
[tex] { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 3.14 \times 7}}} \: \: \\ \\[/tex]
[tex] { \longrightarrow \qquad{ \sf{ \pmb{ \: Circumference_{(circle)} = 21.98}}}} \: \: \\ \\[/tex]
Therefore,
The circumference of the circle is 21.98 yd[tex] \: [/tex]
Now, we'll find the area of the circle :
[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Area_{(circle)} = \pi r^2}}}}}} \: \: \bigstar \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times { \times (3.5)}^{2} }}}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times { \times 3.5 \times 3.5 }}}}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times 12 .25 }}}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{\pmb { \sf{ \: \: Area_{(circle)} = 38.465 }}}}}} \: \: \\ \\[/tex]
Therefore,
The area of the circle is 38.46 yd² approximately[tex]\sqrt{x}-2=\sqrt{x-10}[/tex]
Answer:
Exact Form:
49/4
Decimal Form:
12.25
Mixed Number Form:
12 1/4
Step-by-step explanation:
Isolate the radical, then raise each side of the equation to the power of its index.
√x-2=√x-10
x-4√x+4=x-10
-4√x+4=-10
-4√x=-10-4
-4√x=-14
√x=7
-
2
x= 49
---
44
The height of a poplar tree in feet at age t years can be modeled by the function h(t)=6+3ln(t+1) . use the model to predict the number of years when the height will exceed 18 feet.
The function h(t)=6+3ln(t+1) is a logarithmic function
The height of the tree will exceed 18 feet after 53.6 years
How to determine the number of years?The function is given as:
h(t)=6+3ln(t+1)
When the height is 18 feet, we have:
6+3ln(t+1) = 18
Subtract 6 from both sides
3ln(t+1) = 12
Divide both sides by 3
ln(t+1) = 4
Take the exponent of both sides
t + 1 = e^4
Evaluate the exponent
t + 1 = 54.6
Subtract 1 from both sides
t = 53.6
This means that the height of the tree will exceed 18 feet after 53.6 years
Read more about logarithmic functions at:
https://brainly.com/question/25953978
The following graph shows the feasible region for which system of inequalities?
The feasible region which is shown is the graph of is of the solution of inequalities y<4,x>=0,x<4 and y>=1. which is option C.
What is inequality?An inequality is like an equation but is expressed in greater than ,less than, greater than or equal to, less than or equal to signs. It is equated to find the range of variables.
How to graph inequality?The given graph has three lines showing different inequality.
One which is parallel to x axis and present at y=4 is doted and because the region from this line is towards origin so the sign between y and 4 is of < sign and we don't use equal to sign as it is doted. The inequality will be y<4
Other line is also parallel to x axis at y=1 but it is not doted and the region shaded is away from the line and origin so we use > than sign and equal to sign. The inequality will be y>-1.
The solution lies in first quadrant so x>=0.
One line is parallel to y-axis at x=4 and because the solution is towards origin so we will use <=0 sign as it is not dotted also.
Hence the inequalities are y<4,x>=0<x<4, y>1.
Learn more about inequality at https://brainly.com/question/11613554
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Prove the identity.
(1 - sin’x) cscx = cosx cotx
=
Note that each Statement must be based on
the right of the Rule.
rules:
algebra, reciprocal, quotient, pythagorean, odd/even
[tex]\textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\\ [1-sin^2(x)]csc(x)~~ = ~~cos(x)cot(x) \\\\[-0.35em] ~\dotfill\\\\\ [1-sin^2(x)]csc(x)\implies cos^2(x)csc(x)\implies cos^2(x)\cdot \cfrac{1}{sin(x)} \\\\\\ cos(x)\cdot \cfrac{cos(x)}{sin(x)}\implies cos(x)cot(x)[/tex]
Are the triangles similar? How do you know?
Answer:
They are similar because triangle AMY has sides double the size of CED. If you divide AMY's triangle sides by 2, you will have a triangle that is the exact size of CED. :)
Have an amazing day!!
Please rate and mark brainliest!!!
Answer:
The triangles are similar
Step-by-step explanation:
To tell whether the triangles are similar or not we can compare their side lengths
if the triangle are similar then their side lengths' will be proportional:
MY/CD = AY/ED
10/5 = 8/4 cross multiply expressions
40 = 40 as we can see from this result, the side lengths are proportional so we can say these triangles are similar
if we know f(x), what would you do to find f(x+2)
Answer:
this is a transformation of the function meaning f(x) is our base f(x+2) is a transformation of f(x) by 2
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
given f(x) then to find f(x + 2)
substitute x = x + 2 into f(x)
Ver en español
What is the surface area of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
15 mm
12 mm
square millimeters
There are only blue cubes, red cubes and yellow cubes in a box.
The table shows the probability of taking at random a blue cube from the box.
Colour
blue
red
yellow
Probability
0.4
The number of red cubes in the box is the same as the number
of yellow cubes in the box.
a) Complete the table.
(2)
There are 30 blue cubes in the box.
b) What is the total number of cubes in the box?
Answer:
a) 240 grams
b) 360 grams
c) 2 packs
Step-by-step explanation:
a) 1 biscuit = 4 grams of flour
60 biscuits = 240 grams of flour
Conclusion, 240 grams of flour is needed for 60 biscuits.
b) 240×3÷2 = 360 grams of butter
c) 360÷250
= 1.44
≈ 2 packs
Hope this helps =)
what is this pls help
the side lengths of a triangle are 10,26 and 24 which one is the hypotenuse
a.24
b.26
c.10
d.50
The hypotenuse is the longer of the 3 sides:
answer: b.26
Answer:
[tex]\huge\boxed{\bf\: b. \: 26 \rightarrow hypotenuse }[/tex]
Step-by-step explanation:
Consider a right angled triangle with sides as 10, 26 & 24 units.
Here, we need to find the hypotenuse of the triangle.
The hyptenuse is the side which is opposite to the right angle (90°) & is also the longest side of the triangle.
Then, among the given values, we can clearly say that 26 > 10, 24.
Therefore, [tex]\boxed{\bf\: 26 \: units }[/tex] is the hypotenuse of the triangle with side lengths as 10, 26, 24 units.
[tex]\rule{150pt}{2pt}[/tex]
Lastttt Ooonnneeeee!!! Thank you guys so much for all your helpppp!!
Answer:
[tex]=12\sqrt{15} -40\sqrt{5}\\[/tex]
Step-by-step explanation:
[tex](2\sqrt{10} )(3\sqrt{6} -5\sqrt{8} )=(2\sqrt{10} )(3\sqrt{6} )-(2\sqrt{10} )(5\sqrt{8} )[/tex]
[tex]=6\sqrt{60} -10\sqrt{80}[/tex]
[tex]=6\sqrt{4(15)} -10\sqrt{16(5)}[/tex]
[tex]=6(2)\sqrt{15} -10(4)\sqrt{5}[/tex]
[tex]=12\sqrt{15} -40\sqrt{5}[/tex]
Hope this helps
What is the volume of this container? (Image below)
Answer:
A. 56 in3
Step-by-step explanation:
Formula for Volume; LWH
L * W * H = 4* 4 * 2
16 * 2 = 32(3)
(second half of the container)
LWH = 3 * 4 * 2
12 * 2 = 24(3)
32 + 24 = 56(3)
Break into two cuboids
In cuboid
★V=LBHHence
#1
L=1B=2H=4Volume:-
1(2)(4)=8in³#2
L=4B=3H=4Volume:-
4(3)(4)48in³Total:
8+4856in³Which answer choice correctly represents 0.513333… ?
Can someone help me please
Answer:
Option A
Step-by-step explanation:
To simplify this fraction:
We subtract the powers:
[tex]\frac{6^{3} }{6^{6} } = 6^{3-6}[/tex]
[tex]6^{-3}[/tex] = [tex]\frac{1}{6^{3} }[/tex] = 1/216
These answers I wrote in the last line are options B,C and D.
Therefore Option A is not equivalent.
I need help for this question real quick. Please help if you can
Answer:
Exact area = 272 - 28.125pi square cm
Approximate area = 183.6875 square cm (when using pi = 3.14)
=======================================================
Explanation:
The trapezium has the parallel sides of 12+13 = 25 cm and 15 cm. Those vertical sides average to (25+15)/2 = 40/2 = 20. Multiply this with the height of the trapezium to get 20*24 = 480 sq cm as the area.
You could also use this trapezium area formula
A = h*(b1+b2)/2
A = 24*(25+15)/2
A = 480
Whichever method you use, the trapezium has an area of exactly 480 square cm.
--------------------------------------
The paralellogram has base of 13 and height of 16, so its area is base*height = 13*16 = 208 sq cm
The semicircle has area of 0.5*pi*r^2 = 0.5*pi*7.5^2 = 28.125pi square cm. Notice that I used r = 7.5 which is half of the diameter 15 cm.
The parallelogram and semicircle areas add to 208+28.125pi
---------------------------------------
Subtract this from the area of the trapezium to wrap things up
480 - (208+28.125pi)
480 - 208 - 28.125pi
272 - 28.125pi
This is the exact area of the blue shaded region in terms of pi
To get the approximate area, replace pi with something like 3.14 and compute.
So 272 - 28.125pi = 272 - 28.125(3.14) = 183.6875 is the approximate area when pi = 3.14
Use more decimal digits of pi to get a more accurate value.