Answer:
Here's one way to do it.
Explanation:
Let
f
(
x
)
=
x
3
−
2
x
2
+
3
x
.
(Needed because the intermediate value theorem is a theorem about functions .)
Observe that the equation
x
3
−
2
x
2
+
3
x
=
5
has a root (a solution) exactly when
f
(
x
)
=
5
So the question now is to show that for at least one number
c
, in
[
1
,
2
]
, we get
f
(
c
)
=
5
.
f
is continuous on
[
1
,
2
]
(Because it is a polynomial and they are continuous everywhere.)
f
(
1
)
=
2
and
f
(
2
)
=
6
5
is between
f
(
1
)
and
f
(
2
)
, so
by the intermediate value theorem, there is at least one number
c
, in
[
1
,
2
]
, for which
f
(
c
)
=
5
.
That is, the original equation has a solution.
Step-by-step explanation:
a car traveled 212 km in 5 hours what was the cars average speed
Answer:
42.4 mph
Step-by-step explanation:
5÷212= 42.4mph (average speed)
Slove for x
Show all work
Answer: 20
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
[tex]x^2=8(8+42)\\\\x^2=8*50\\\\x=20[/tex]
~
can uuuu helpppppppppppp
Answer:
A
Step-by-step explanation:
Use the above 3 points, base = 1, height = 1, so area is 1/2
simplify The expression Try This question out and I’ll give you brainliest
Answer:
√80=16√5
2√45
2×9√5
18√5
16√5-18√5
-2√5
hope that helps -2√5
Find the quotient of 2 7/8 and 3 5/6
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given the following question:
[tex]2\frac{7}{8} \div3\frac{5}{6}[/tex]
To find the answer we need to convert the mixed numbers into improper fractions, then we apply KCF (Keep, Change, Flip) to the equation and then we solve.
[tex]2\frac{7}{8} \div3\frac{5}{6}[/tex]
[tex]2\frac{7}{8} =8\times2=16+7=23=\frac{23}{8}[/tex]
[tex]3\frac{5}{6} =6\times3=18+5=23=\frac{23}{6}[/tex]
[tex]\frac{28}{8} \div\frac{23}{6}[/tex]
Apply KCF:
[tex]\frac{28}{8} \div\frac{23}{6}[/tex]
[tex]\frac{28}{8} \times\frac{6}{23}[/tex]
[tex]28\times6=168[/tex]
[tex]8\times23=184[/tex]
[tex]=\frac{168}{184}[/tex]
Simplify by reducing:
[tex]\frac{168}{184}[/tex]
[tex]=\frac{168}{184}\div46=\frac{3}{4}[/tex]
[tex]=\frac{3}{4}[/tex]
Your answer is "3/4."
Hope this helps.
WHAT I KNOW
CAN YOU DO THIS? LET'S HAVE A GUESSING GAME ON POLYGONS.
__________1. I AM A POLYGON WITH FOUR EQUAL SIDES AND 4 RIGHT CORNERS. WHAT AM I?
__________2.I HAVE THREE SIDES AND THREE ANGLES. WHAT AM I?
__________3. I HAVE TWO PAIRS OF PARALLEL SIDES AND FOUR RIGHT ANGLES. WHAT SHAPE AM I?
__________4. I AM A POLYGON WITH 4 SIDES AND ONE PAIR OF WHICH IS PARALLEL. WHAT AM I?
__________5. I HAVE TWO OF OPPOSITE SIDES WHICH ARE PARALLEL. WHAT AM I?
PLS ANSWER
Answer:
1. Square
A square has 4 side of equal lengths, and all right angles.
2. Triangle
A triangle has 3 sides and 3 angles. It could either be an isosceles, equilateral or obtuse triangle.
3. Rectangle
A rectangle has 4 sides. 2 are parallel and the other 2 are parallel. All angles are 90 degrees.
4. Trapezoid
This shape has 4 sides. Only 1 pair of sides is parallel. The other 2 sides are not parallel
5. Parallelogram
It has 4 sides, and both pair of opposite sides are parallel.
Can you solve d-3/5=6 before multiplying by 5 reasoning yes or no and why?
Answer:
yes you can
apart from getting rid of the denominator you can collect like terms
Step-by-step explanation:
d=6-3/5
6=30/5
30/5-3/5
27/5
d=27/5
Find the distance between 4 2/3 and −5 1/3 on a number line. Write your answer in the simplest form.
Answer:
3/25
Step-by-step explanation:
The two lines intersected by the transversal are parallel. What is the value of x?
1? HSHSHSHSHSHSHHSHSHSHS
Answer:
Step-by-step explanation:
Angles on the same side of the transversal are supplementary.
(4x-8)+(3x-1)=180
=7x-8-1=180
=7x-9=180
7x=180+9
7x=189
x=189/7
x=27
Hope it helped..
I need help finding x
Answer:
the value of x is 18
Step-by-step explanation:
4x+17+91=180(Liner pair)
4x=180-108
4x=72
x=72/4
so,x=18
Please solve: 0.3:4=9:y
Answer:
y=120
Step-by-step explanation:
y=120
Which algebraic expression represents the phrase "seven more than half of a number"?
07-1/2x
0-7+ 1/2x
o 1/2x+7
0-1/2x -7
Answer:
1/2x+7
Step-by-step explanation:
seven more than half of a number is (x/2) + 7.
The correct option is (C).
What is Algebra?Algebra, a discipline of mathematics where abstract symbols rather than concrete numbers are subjected to arithmetic operations and formal transformations. The idea that there is such a separate branch of mathematics, as well as the term algebra to identify it, came about gradually through time. tries to find solutions to equations that contain one or more unknown quantities. Although early mathematicians would not have been familiar with such a concept, the word "equation" is frequently employed to conveniently represent these operations when discussing the early history of algebra.
We have to find an algebraic expression which represents the phrase "seven more than half of a number".
Consider a number x,
half of x = (x/2)
seven more than half = (x/2) + 7
Hence, seven more than half of a number is (x/2) + 7.
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What is the volume of a matchbox which measures 11cm by 6.4cm by
3cm?5) Small boxes measuring 3cm by 2cm by 1cm are packed into a large box which measures 15cm by 12 cm by 10cm. What is the
volume of:
a) the small boxes?
b) the large box?
c) How many small boxes will fit into the large box?
Step-by-step explanation:
the volume of a box is always
length × width × height
in our first case here :
11 × 6.4 × 3 = 211.2 cm³
the volume of the small boxes is
3 × 2 × 1 = 6 cm³
the volume of the large box is
15 × 12 × 10 = 1,800 cm³
so,
1800/6 = 300 small boxes will fit into the large box.
because the dimensions of the small boxes are factors of the dimensions of the large box (3 is a factor of 15, 2 is a factor of 12, 1 is a factor of 10), it will be a perfect fill without any unused leftover pockets of space.
so, truly 300 small boxes will fit into the large box.
Easy:
On Tuesday, the school cafeteria served 973 lunches.
Round the number of lunches to the nearest hundred
Answer: 1000
Step-by-step explanation: since the number next to it is a seven and seven is closer to ten and ten is the first two digits of the answer. The answer is 1000.
Round the integer number 973 nearest hundred will be 1000.
What is the rounding of a number?The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.
The integer is given below.
⇒ 973
Round the number 973 nearest hundred.
If the tens place is more than 5, then the hundred places will be increased by one.
In the tens place is 7, then the number 9 is increased by one that is 10.
Round the integer number 973 nearest hundred will be 1000.
More about the rounding of a number link is given below.
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In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 23% of your total grade, each major test is worth 22.5%, and the final exam is worth 32%. Compute the weighted average for the following scores: 85 on the lab, 95 on the first major test, 91 on the second major test, and 76 on the final exam. (Enter your answer to one decimal place.)
Answer:
The weighted average for the following score is [tex]W = 85.72[/tex]
Step-by-step explanation:
From the question we are told that
The worth of the lab score is 23% of total grade i.e 0.23
The worth of each major test is 22.5% of the total grade 0.225
The worth of the final exam is 32% of the total grade 0.32
The score on lab is 85
The score on first major test is 95
The score on the second major test is 91
The score on the final exam is 76
Generally the weighted average is mathematically represented as
[tex]W = [0.23 * 85 ]+ [0.225 * 95] + [0.225 * 91 ]+ [0.32 *76 ][/tex]
=> [tex]W = 85.72[/tex]
Lisa walks at a speed of 3.25 miles per hour for 1.5 hours. How many miles does she walks in all? Complete the area model that represents 1.5*3.25.
Answer:
5.25 miles
Step-by-step explanation:
A. 1620
B. 247.50
C. 234
Answer:
C
Step-by-step explanation:
use Pythagorean theorem to get the missing side of the triangle as 12.
Find the area of the triangle and add ot to the area of the rectangle...so (9)(12)/2=54 for area of triangle + area of rectangle is (15)(12)=180. so 54 + 180 = 234
Recently, the National Safety Council collected data on the leading causes of accidental death. The findings revealed that for people age 20, 30 died from a fall, 47 from fire, 200 from drowning, and 1950 from motor vehicle accidents. What percent of the accidental deaths were not attributed to motor vehicle accidents? Round to the nearest percent.
Answer: 10.193
Step-by-step explanation:
Due to manufacturing error, three cans of regular soda were accidentally filled with diet soda and placed in a 12-pack. Suppose that two cans are randomly selected from the 12-pack: a) Determine the probability that both contain diet soda. b) Determine the probability that exactly one is diet
Answer:
a) 2/44 = 0.045
b) 9/22 = 0.409
Step-by-step explanation:
a) The probability the first can is diet soda is 3/12.
The probability the second can is diet soda is 2/11.
The probability of both is (3/12) (2/11) = 2/44 ≈ 0.045.
Alternatively, you can use combinations:
₃C₂ × ₉C₀ / (₁₂C₂) = 2/44
b) If the first can is diet soda, and the second can isn't, the probability is (3/12) (9/11) = 9/44.
If the first can isn't diet soda, and the second can is, the probability is (9/12) (3/11) = 9/44.
The total probability is 9/44 + 9/44 = 9/22 ≈ 0.409.
Alternatively, using combinations:
₃C₁ × ₉C₁ / (₁₂C₂) = 9/22
write an equation of the line below
Answer:
y = 3/5 + 4
Step-by-step explanation:
Given Coordiantes:
(0,4) - Y-intercept
(5,7) - Coordinates
To make an equation, first find the slope.
[tex]m=\frac{rise}{run} =\frac{y}{x}[/tex]
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]m=\frac{7-4}{5-0}[/tex]
[tex]m=\frac{3}{5}[/tex]
In decimals:
[tex]m = 0.6[/tex]
Now convert to point slope.
[tex]y-y_{1} =m(x-x_{1} )[/tex]
[tex]y-4=\frac{3}{5} (x-0)[/tex]
In decimals:
[tex]y-4=0.6(x-0)[/tex]
Now convert to slope-intercept form.
Find the Equation of the Line:
[tex]y=mx+b[/tex]
by solving for y using the Point Slope Equation.
y = 3/5 + 4
who giving that Ash Kashhh on this app I need it
Answer:
BRUHHHH IM WEAK
Step-by-step explanation:
no one is giving ash kash on here
Answer:
You get points by ansewing others questions on the app. The points are given to you through the app, the points are not real money. A user asking a question can choose how much points to give any one who answers their question.
Step-by-step explanation:
HOPE THIS HELPS!!!!!!!
At first, Brianna earned a score of 90 on the quiz. She discovered that 4 had been taken off by mistake. Brianna showed the teacher, removed the 4-points deduction. Which two quiz scores could be used to find Briannas new quiz score
Answer:
90 - ( -4 ) and 90 + 4
Step-by-step explanation:
I got it correct on the test :)
pls answer this all pls
Answer:
C:the length of time used in working
B:9:10 p.m and 9:56 p.m
B:Subtraction
C:9:56 - 9:10
C:46 minutes
on a family outing tyler bought 5 cups of hot cocoa and 4 pretzels for $18.50. Some of his family members would like a second serving, so he went back to the same food stand and bought another 2 cups of hot cocoa and 4 pretzels
Answer:
5c+4p = 18.50
2c+4p = 11.20
Cost of cup = $2.4
cost of pretzels = $1.625
Step-by-step explanation:
Note:
2 cups of hot cocoa and 4 pretzels for $11.30
Computation:
5c+4p = 18.50........eq1
2c+4p = 11.30........eq2
Where c = cost of cup
p = cost of pretzels
From eq1 - eq2
3c = 7.20
c = 2.4
Cost of cup = $2.4
5c+4p = 18.50
5(2.4) + 4p = 18.50
p = 1.625
cost of pretzels = $1.625
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The gray rectangle is the image of rectangle ABCD after a sequence of transformations.
Which could be the sequence of transformations that results in the gray rectangle?
A. Reflection over the y-axis, then dilation with center (0, 0) and a scale factor of 3/2
B. Reflection over the y-axis, then dilation with center (0, 0) and a scale factor of 1/2
C. Rotation 90° clockwise about the origin, then dilation with center (0, 0) and a scale factor of 1/2
D. Translation right 12 units, then dilation with center (0, 0) and a scale factor of 3/2
Describe the shape of the given histogram.
The given histogram is uniform histogram.
Since we know that,
A histogram is a graphical depiction of data distribution in statistics. The histogram is represented by a series of neighboring rectangles, with each bar representing a different type of data.
Statistics is a branch of mathematics that is used in a variety of areas. When numbers are repeated in statistical data, this repetition is known as Frequency, and it may be put down in the form of a table, which is known as a frequency distribution.
A Frequency distribution may be represented graphically using several types of graphs, one of which is a Histogram.
Based on the frequency distribution of the data, the histogram may be categorised into distinct categories. Normal distribution, skewed distribution, bimodal distribution, multimodal distribution, comb distribution, edge peak distribution, dog food distribution, heart cut distribution, and so on are all examples of distributions. These many sorts of distributions can be represented by the histogram.
A histogram can be of several types:
Histogram that is uniform
Histogram with symmetry
Histogram with two modes
Probability distribution histogram
A uniform distribution demonstrates that the number of classes is too small, with the same amount of components in each class. It might involve a distribution with many peaks.
Since we can see in the given histogram,
The average frequency is 5
And almost all the bars are ending at 5
Hence,
This histogram is uniform histogram.
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As part of a training program for the Boston Marathon, a runner wants to build endurance by running at a rate of 9 mph for 20 min. How far will the runner travel in that time period?
Answer:
3 miles
Step-by-step explanation
Distance = rate x time
d=rt
rate = 9
time= 20 minutes but we need this in terms of hours since the rate is 9 miles per hour
t = 20/60 = 1/3
so d = 9(1/3) = 3 miles
I need help please please
Answer:
A
Step-by-step explanation:
Rotates and then translates 7 to the left.
NEED ANSWER ASAP
The table below has input values X and output values Y
Answer:each input has one output
Step-by-step explanation: functions are only accurate when each input has only one output, but outputs can have more than one input.
In the five sixth grade classrooms there are 26,29,31,33,36 what is their average mean number
Answer:
the answer you're looking for is 31