How do I use the intermediate value theorem to prove every polynomial of odd degree has at least one real root?
Answer:
Step-by-step explanation:
The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.
The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let F represent temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.
At 0°C, the temperature is 32°F. Also at 100°C, the temperature is 212°F, hence:
[tex]C-0=\frac{100-0}{212-32} (F-32)\\\\C=\frac{5}{9} (F-32)[/tex]
The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)
Find out more on equation at: https://brainly.com/question/297283
The value of x is 6. What is the value of y ?
Answer: y = 4.5
scale factor = 4/3
Peter is buying a circular rug for his bedroom. The rug has an area of 40 square feet. What is the approximate diameter of the rug? Show your work or explain your answer.
The approximate diameter of the rug with an area of 40 ft² is 7.14 feet.
What is area?Area is the amount of space occupied by a two dimensional shape or object.
The area of a circle is given by:
Area = π * diameter²/4
The rug has an area of 40 square feet. Hence:
40 = π * diameter²/4
Diameter = 7.14 feet
The approximate diameter of the rug with an area of 40 ft² is 7.14 feet.
Find out more on area at: https://brainly.com/question/25292087
Q. 1. Solve for x using determinants, x + y = 9, x - y + 3z = 2 and 4y - 32 - 5 = 0.
Hello!
x + y = 9,
x= 9-y
x - y + 3z = 2
x= 2+y -3z
4y - 32 - 5 = 0.
4y = 32+5
4y = 37
y = 37/4
can some one help i need to pass
Help! 10 Points !!
A line passes through the point (-8. 5) and has a slope of -5/4
Anyone help Please tysm
=========================================================
Explanation:
Count the number of leaves for each stem.
The first row has 5 leaves, the next has 8, and so on.
This is the list of leaf counts for each row when reading from top to bottom.
58873Add those leaf counts to get 5+8+8+7+3 = 31
There are 31 leaves total to represent the n = 31 values in this data set.
The median is in slot n/2 = 31/2 = 15.5 = 16 which is at the exact center.
Notice how 5+8 = 13 is too small compared to slot 16
But 5+8+8 = 21 is too big. Therefore, the median in slot 16 is somewhere in the third row.
Specifically, it's the third item in that row because 13+3 = 16
The third item in the the third row is the leaf 4. It pairs with the stem 3
stem = 3 and leaf = 4 combine to the value 34. The median is 34.
---------------------------------------
Another way to find the median:
Start with the first leaf in the first row (that value being 6). It pairs up with the last leaf in the last row (that value is 5). Cross those outer-most values from the list.
Repeat that step with the next outer-most values (7 in row one and 2 in row five). This process of crossing out the outer-most values will gradually narrow the list down until we approach the very middle item. You should arrive at the "4" in the third row.
This process is longer than the first method in the previous section, but it might be handy to see it being visual like this.
Answer: 26.533
Step-by-step explanation: add the leaf numbers and multiply them with the respective stem number and all those add together. the result divided by the sum of stem numbers.
What is the area of a pillow that is 12 1/2 inches long and 15 1/2 inches wide?
Answer:
193.75in or 193 3/4 in.
Step-by-step explanation:
To find the area, multiply the length x width.
12.5 x 15.5 = 193.75in
:)
Answer:
193.75 inch
Step-by-step explanation:
Area= Length ×Width
12.5*15.5
1. Match the picture of the triangle to the correct name for its center,
1. d 2. a 3. c 4. b
Step-by-step explanation:[tex]1.d\ \{The\ intersection\ of\ three\ high\ lines\}[/tex]
[tex]2.\ a[/tex]
[tex]3.\ C[/tex]
[tex]4.\ b\ \{The\ intersection\ of\ three\ angular[/tex]
[tex]bisectors\}[/tex]
I hope this helps you
:)
Answer:
dbcaStep-by-step explanation:
Various centers are defined for a triangle, depending on how they're constructed. Here, you're asked to match the construction with the name.
__
OrthocenterThe orthocenter is the intersection of the altitudes of the triangle. Each altitude intersects a vertex and is orthogonal to the opposite side. The orthocenter will not be inside the triangle if the triangle is obtuse. The orthocenter of a right triangle is the right-angle vertex.
Figure D depicts the intersection of altitudes.
__
IncenterThe incenter is the center of an inscribed circle of a triangle. The incenter must be the same distance from each side, so will be at the point of intersection of the angle bisectors. It always lies inside the triangle.
Figure B depicts the intersection of angle bisectors.
__
CentroidThe centroid is the "center of gravity" of the triangle, the point at which the triangle could be balanced. Each median divides the triangle into two equal areas, so the intersection of medians marks a spot with equal area (weight) in every pair of opposite directions.
Figure C depicts the intersection of medians.
__
CircumcenterThe circumcenter is the center of a circle that circumscribes the triangle. It is equidistant from the three vertices, so lies on the intersection of the perpendicular bisectors of the sides. It will lie outside the triangle for obtuse triangles. It is the midpoint of the hypotenuse of a right triangle.
Figure A depicts the intersection of perpendicular bisectors of the sides.
∠45° is complementary to which of the following angles?
∠45°
∠135°
∠315°
∠55°
The answers people keep on giving is 90 but it doesnt say it here. Can someone help me?
Answer:
45°
Step-by-step explanation:
complementary angles add up to 90° so it's 90-45
What is M G to the nearest tenth
Answer:
tan m‹G = 28.2/45.8
m‹G= 31.62°
Question 7 (3 points)
A right rectangular prism is shown. Find the surface area of this prism. Refer to your
STAAR 8th Grade Math Reference Sheet for the appropriate formula.
Answer:
196 square feet
Step-by-step explanation:
(learn it before u submit. im here to help not cheat;w;
-ur fellow classmate)
S=ph+2b
s=(p=l+l+w+w) (h)+ (2) (b=lxw)
s=(8+8+10+10) (1) + (2) (8x10)
s=( 36x1 )+ (2x80)
s= 36+160
s=196
God bless ya:)
The area of this prism is 196 square feet.
What is the area of the prism?The prism's area can be calculated by adding its lateral area to the base areas. The process of calculating these areas ends up being facilitated because the two bases of a prism are the same, therefore, it is enough to calculate the area of a base and multiply the result by 2
The formula for the area of the prism is given by:
[tex]S=ph+2b[/tex]
Where:
p=l+l+w+wb=lxwSo we have that:
[tex]s=(p=l+l+w+w) (h)+ (2) (b=lxw)\\s=(8+8+10+10) (1) + (2) (8*10)\\s=( 36*1 )+ (2*80)\\s= 36+160\\s=196[/tex]
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What is the division expression that is the same as 1/5 x 1/4?
A. 1/5÷4
B. 1/5÷5
C. 1/5÷3
D. 1/5÷2
[tex]=================================[/tex]
Option A is correct & here's why.
When dividing fractions, we take the first fraction and multiply it times the reciprocal of the second fraction (the second fraction flopped over)
So if we have 1/4, then its reciprocal is 4/1, or just 4.
Hence, Option A (1/5÷4) is correct.
[tex]==============================[/tex]
Notes:Hope everything is clear & let me know if you have any questions!Enjoy your day!Always remember: Knowledge is Power! :-)Answered by:~DiamonD~
write and solve an equation twice a number is 26
Answer:
2x = 26, x = 13
Step-by-step explanation:
Write and solve an equation twice a number is 26
x = unknown number
Equation: 2x = 26
Solve:
2x = 26
/2 /2 <== divide both sides by 2
x = 13
Check your answer:
2x = 26
2(13) = 26
26 = 26
This stament is correct
Hope this helps!
Judi Salem opened a law office on July 1, 2022. On July 31, the balances in the accounts were as follows: Cash $5,000, Accounts Receivable $1,500, Supplies $500, Equipment $6,000, Accounts Payable $4,200, and Owner’s Capital $8,800. During August, the following transactions occurred.
1. Collected $1,200 of accounts receivable.
2. Paid $2,800 cash on accounts payable.
3. Recognized revenues of $7,500 of which $3,000 is collected in cash and the balance is due in September.
4. Purchased additional equipment for $2,000, paying $400 in cash and the balance on account.
5. Paid salaries $2,500, rent for August $900, and advertising expenses $400.
6. Withdrew $700 in cash for personal use.
7. Received $2,000 from Standard Federal Bank—money borrowed on a note payable.
8. Incurred utility expenses for month on account $270.
Step-by-step explanation:
what is that called into the comet or ok
Find the total surface area of the figure below.
Answer:
37.5 sq.cm⠀
Step-by-step explanation:
⠀
We know,
[tex] {\longrightarrow \qquad \boldsymbol{\pmb{Total \: \: surface \: \: area_{(cube)} = 6a {}^{2} }}}[/tex]
⠀
Where,
a is the side length of the cube. Here, a = 2.5 cm⠀
Now, Substituting the values in the formula :
⠀
[tex]{\longrightarrow \qquad \rm{{Total \: \: surface \: \: area_{(cube)} = \sf 6 \times( 2.5) {}^{2} }}}[/tex]
⠀
[tex]{\longrightarrow \qquad \rm{{Total \: \: surface \: \: area_{(cube)} = \sf 6 \times6.25 }}}[/tex]
⠀
[tex]{\longrightarrow \qquad \boldsymbol{ \pmb{Total \: \: surface \: \: area_{(cube)} = \it 37.5 }}}[/tex]
⠀
Therefore,
Total surface area of the cube is 37.5 cm²Answer:
37.5 cm²
Step-by-step explanation:
Given:-
Side of cube :- 2.5cmTo find:-
Total Surface AreaSolution:-
Total surface area of cube :- 6a²
6(2.5)² sq. cm
37.5 cm²
simplify the following 72÷6+3×2
Answer:
18
Step-by-step explanation:
Use PEDMAS
In this, we have to do first division , then multiplication and finally addtion.
72 ÷ 6 + 3*2 = 12 + 3*2 {division is done}
= 12 + 6 {Multiplication is done}
= 18
solve the equation
answer: x=
Answer:
Hope the picture will help you
What is the area of a circle with the diameter of 10
a newspaper editor hired a writer for jokes cartoons. the cost for 8 jokes and 6 cartoons is 610usd. the cost of 6 jokes and 8 cartoons is 510usd how much do a joke and a cartoon together cost
Answer:
a joke and a cartoon together cost $80
c=$15 j=$65
Step-by-step explanation:
j=joke
c=cartoon
8j +6c = 610
6j+8c = 510
Multiply the first by 8
Multiply the second by -6
64j +48c = 4880
-36j -48c = -3060
ADD both (c will cancel)
28j = 1820
j= 65
PLUG j
8(65) + 6c = 610
520+6c = 610
6c= 90
c = 15
j + c = 65+15 = 80
A chemist has one solution that is 20% alcohol and another that is 60% alcohol.
How much of each solution must the chemist use to get 200 mL of a solution that is 52%
alcohol?
Answer:
solution 1= 40ml
solution 2= 160ml
Step-by-step explanation:
%alcohol= amount of alcohol/total solutionx100
0.52x200=104ml of alcohol present
0.2x L=0.2Lml of alcohol in solution one
0.6 x M=0.6Mml of alcohol in solution two
1st equation
0.2L+0.6M=104ml alcohol
times 10 to get whole
2L+6M=1040ml
2nd
same for this equation
10L+10M=2000ml
10L+10M=2000
2L+6M=1040
elimination method
=20L+20M=4000
-
=20L+60M=10400
-40M=-6400
M=160ml
2L+6 (160)=1040
2L=1040-960
2L=80
L=40ml
April is 19, Bryan is 20, Carla is 20, and Dave is 21, how old is Erica is the average of their given ages is 23?
Answer: 35
Step-by-step explanation:
The average can be found by adding their ages together and dividing by the number of ages.
Given:
[tex]\frac{19+20+20+21+x}{5}[/tex] = 23
Multiply both sides of the equation by 5:
19 + 20 + 20 + 21 + x = 115
Combine like terms:
80 + x = 115
Subtract 80 from both sides of the equation:
x = 35
Erica is 35.
Need help with this geometric question ASAP, Thank you
(3√7 +5)^2
simplify the problem to its simplest form.
Answer:
88 + 30[tex]\sqrt{7} \\[/tex]
Step-by-step explanation:
Expand to make easier:
(3[tex]\sqrt{7} \\[/tex] + 5) x (3[tex]\sqrt{7} \\[/tex] + 5)
FOIL:
9(7) + 15 [tex]\sqrt{7}[/tex] + 15[tex]\sqrt{7}[/tex] + 25
Simplify:
63 + 30[tex]\sqrt{7}[/tex] + 25
88 + 30[tex]\sqrt{7}[/tex]
Find a function whose graph is a parabola with vertex (4,-5) and that passes through the point (2, 3).
Answer:
4 ,-5
Step-by-step explanation:
I hope it's helpful for youFind a polynomial of the specified degree that has the given zeros.
Degree 5;
zeros -4, -3, 0, 4, 3
Answer:
f(x)=x(x+4)(x+3)(x-4)(x-3)
Step-by-step explanation:
hello :
an polynomial is : f(x)=(x+4)(x+3)(x-0)(x-4)(x-3)
means : f(x)=x(x+4)(x+3)(x-4)(x-3)
Is (8, 7) a solution of y > 4x − 6?
No, (8, 7) is not a solution of y > 4x − 6.
Yes, (8, 7) is a solution of y > 4x − 6.
Answer:
no
Step-by-step
Use the slope-intercept form to find the slope and y-intercept.
Tap for fewer steps...
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
4
b
=
−
6
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
4
y-intercept:
(
0
,
−
6
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for fewer steps...
Find the x-intercept.
Tap for fewer steps...
To find the x-intercept(s), substitute in
0
for
y
and solve for
x
.
0
=
4
x
−
6
Solve the equation.
Tap for fewer steps...
Rewrite the equation as
4
x
−
6
=
0
.
4
x
−
6
=
0
Add
6
to both sides of the equation.
4
x
=
6
Divide each term by
4
and simplify.
Tap for fewer steps...
Divide each term in
4
x
=
6
by
4
.
4
x
4
=
6
4
Cancel the common factor of
4
.
Tap for fewer steps...
Cancel the common factor.
4
x
4
=
6
4
Divide
x
by
1
.
x
=
6
4
Cancel the common factor of
6
and
4
.
Tap for fewer steps...
Factor
2
out of
6
.
x
=
2
(
3
)
4
Cancel the common factors.
Tap for fewer steps...
Factor
2
out of
4
.
x
=
2
⋅
3
2
⋅
2
Cancel the common factor.
x
=
2
⋅
3
2
⋅
2
Rewrite the expression.
x
=
3
2
x-intercept(s) in point form.
x-intercept(s):
(
3
2
,
0
)
Find the y-intercept.
Tap for fewer steps...
To find the y-intercept(s), substitute in
0
for
x
and solve for
y
.
y
=
4
(
0
)
−
6
Solve the equation.
Tap for fewer steps...
Remove parentheses.
y
=
4
(
0
)
−
6
Simplify
4
(
0
)
−
6
.
Tap for fewer steps...
Multiply
4
by
0
.
y
=
0
−
6
Subtract
6
from
0
.
y
=
−
6
y-intercept(s) in point form.
y-intercept(s):
(
0
,
−
6
)
Create a table of the
x
and
y
values.
x
y
0
−
6
3
2
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
4
y-intercept:
(
0
,
−
6
)
x
y
0
−
6
3
2
0
Which of the following are not polynomials?
A. x^2+2sqrtx+1 B. 2/x^2+x+1 C. 2/3x^2+x+1 D. x^2+ sqrt2x + 1 E. x^-2+x+1
Answer:
A
Step-by-step explanation:
how do you write a solution set when there are infinite solutions
Answer:
it depends
Step-by-step explanation:
sometimes a teacher will accept "there are infinite solutions" but if you cant you may need to do something else(this applies to basically everything)
for an example lets use x=1
(1,+infinity)
or
(1,-infinity)
(this is being graphed.) (this may not apply to everything)
i hope this helps