[tex]\displaystyle\bf 4x^2+3=-7x\\\\4x^2+7x+3=0 \\D=49-48=1 \\\\x_{1;2}=\frac{-7\pm1}{8} => x_1=-1\quad ; \quad x_2=-\frac{3}{4} \\\\\\Answer:\boxed{x_1=-1\quad ; \quad x_2=-\frac{3}{4} }[/tex]
The area of a trapezium is 147cm of the parallel sides and 5.3cm and 3.1cm long. Find the perpendicular distance between them.
Answer:
35 cm
Step-by-step explanation:
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = x (sum of the lengths of the parallel sides) x height
h = 147x2 / (5.3 + 3.1) = 35cm
One day, a café sells 3 more than twice the number of cappuccinos as they do lattes. They sold a total of 33 cappuccinos and lattes
together.
Which equation could be used to find the number of lattes, x, sold at the café?
Answer:
x +(2x + 3) = 33
Step-by-step explanation:
two equations can be derived from the question
c = 3 + 2x equation 1
c + x = 33 equation 2
where :
c = cappuccinos
x = lattes
make c the subject of the formula in equation 2
c = 33 - x equation 3
equate 3 and 1
x +(2x + 3) = 33
The table represents a linear function
What is the slope of the function?
х
0-6
-2
-1
0
1
2
y
8
2.
-4
10
16
&
6
The slope of the function showing by table is,
⇒ m = - 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The table represents a linear function.
Let Two points on the line are (- 2, 8) and (- 1, 2).
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 8) / (-1 - (-2))
m = - 6 / 1
m = - 6
Thus, The slope of the function showing by table is,
⇒ m = - 6
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ7
What is the value of x?
Answer:
67.5
Step-by-step explanation:
The sum of the interior angles is 540, therefore
540 = 90 + 4y
540 - 90 = 4y
450 = 4y
450 / 4 = y
112.5 = y
X and Y together equal 180, therefore
180 = x + 112.5
180 - 112.5 = x
67.5 = x
If p q is true and q is true, then p is ___ true. Answer choices are always, never, sometimes
Answer:
sometimes
Step-by-step explanation:
in the fist quadrant you start a 5,3 and move 2 units left and 1 unit down where would you end up?
Answer:
3,2
Step-by-step explanation:
Answer:
(3,1)
Step-by-step explanation:
If you moved two units left you would be at (3,2) the move one down you would be at (3,1)
Which of the following is equal to the rational expression below when x doesn't equal 2 or 9?
4(x-2)/(x-2)(x-9)
Answer:
D. 4 / ( x - 9 )
Step-by-step explanation:
4 ( x - 2 ) / ( x - 2 ) ( x - 9)
= 4 / ( x - 9 )
[tex]what is the value of three[/tex]
Step-by-step explanation:
the value of three is three(3)
I really need help if any one knows geometry please try and help and answer these few questions
Thank you!
Answer:
x=12, 11
PLEASE HELP!! Which variable is most important to the following problem?
The Top Shoppe orders 85 shirts for each of its 22 stores from a clothing
manufacturer. The manufacturer has 3000 shirts in stock. The Top Shoppe pays $20 for each shirt. How much does the Top Shoppe pay for the shirts?
A. The total cost of the shirts
B. The number of shirts the manufacturer has left after the order
C. The sizes of the shirts ordered
D. The number of shirts the Top Shoppe orders
Answer:
ok so we know that it order 85 shirts for each of its 22 stores so we can multiply 22 by 85 which is 1870. so the company order 1870 shirts and they pay 20$ for each so we can multiply 1870 by 20 which is 37400. so top shoppe pays 37400 for the shirts.
A=37400
B=I don't know what the order was so i dont know
C= also there is nothing about the size of the shirts
D=1870
so the most important variable is probity A but there could be an argument made about the importance of D.
Your Welcome
BIFFY OUT!!!
A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.
Answer:
false negatives - 2%
false positives - 3%
Step-by-step explanation:
Here is the complete question :
A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.
% of results will be false negatives, and % of results will be false positives.
False negative means a negative result which in actuality it is positive
False negative = 100% - percent of positive result
100% - 98% = 2%
False positive result means a positive result which in actuality is negative
False positive = 100% - percent of false positive
100 - 97 = 3%
Suppose the 100 people in society X all know the same 10 facts, while the 10 people in society Z specialize, with each person knowing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, which society has a higher standard of living
Answer:
29 times
Step-by-step explanation:
Given :
Society X ;
Population = 100
Number of facts known = 10
Average fact known per person = known fact / population = 10 / 100 = 0.1
Society X:
Population = 19
Common fact known by 9 = 5
Specialized fact, known by 10 = 5 * 10 = 50
Total facts = common + specialized = 55
Average fact known per person = 55 / 19 = 2.8947368 fact per person
Number of times society Z is better :
2.8947368 / 0.1 = 28.947 times
Approximately 29 times
HELPPPPP LLAAAA SODIBEXICEC
Answer:
C)
E)
F)
D)
Step-by-step explanation:
These are all questions and answer that can be graphed, are represented on a data display. For example, the number of tomatoes on each plant can vary, and get changes through time. This is a statistical question.
Note:
Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.
-kiniwih426
I need answer for number 8 please no links and the right answer thank youuu
Answer:
y = 2/5x - 4
Step-by-step explanation:
y = mx+b where m is the slope and b is the y intercept
y = 2/5x - 4
Sophia drops her pencil in a cup and
notices that it only fits diagonally.
The pencil is 10 centimeters long and the
cup is 8 centimeters tall.
What is the diameter of the cup?
Answer:
5cm
Step-by-step explanation:
Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.
-kiniwih426
company paid $48 for 2 cases of printer paper. Each case contained 12 packages of paper. Next month the company’s office manager needs to order 180 packages of the same paper. If the price per package does not change, what would be the total c
Answer:
the answer would be 384 dollars
What does intercept mean in the expression slope-intercept form?What does intercept mean in the expression slope-intercept form?
Answer:
The intercept is the coordinate by which a line crosses the x or y-axis. in the slop-intercept form, the intercept is for the y-axis and is included at the end of the formula as 'b,' bound by either adding or subtracting. Ex. y= 2x+6. y-intercept=6
-40 divided by what makes -4
Answer:
10
Step-by-step explanation:
<3
Please help me solve my problem!!!
Answer:
B. sometimes
Step-by-step explanation:
Consecutive angles of a parallelogram are same side interior angles of two parallel lines cut by a transversal, so they are always supplementary.
Supplementary angles are two angles whose measures add to 180 deg.
If two angles are supplementary and one angle measures 90, then the other angle also measures 90 deg, and the two angles are congruent. If one angle measures less than 90 deg, then the other measure more than 90 deg and are not congruent. Therefore, these angles may or may not be congruent.
Answer: sometimes
Somebody really smart!!!?
Answer:Its the last one to the left up
Step-by-step explanation:
Answer:
78.5 square feet
option b
Step-by-step explanation:
area = pi*r^2
a = 3.14*5^2
a = 3.14*25
a = 78.5
Solve each triangle. Round your answers to the nearest tenth.
Answer: The value of [tex]\angle B[/tex] is [tex]30^o[/tex], the length of BC and AC is 28 units and 25 units respectively.
Step-by-step explanation:
To calculate the value of each part of the triangle, we use:
1) Angle sum property
2) Law of sines
Starting with 1:
Calculating [tex]\angle B[/tex] by angle sum property:
[tex]\angle A+\angle B+\angle C=180^o\\\\34^o+\angle B+116^o=180^o\\\\\angle B=(180^o-116^o-34^o)=30^o[/tex]
Applying 2:
The Law of sines relates the length of the side with the sines of the angle opposite to it.
[tex]\frac{\sin 34^o}{BC}=\frac{\sin 116^o}{45}\\\\BC=\frac{\sin 34^o\times 45}{\sin 116^o}\\\\BC=28units[/tex]
Similarly,
[tex]\frac{\sin 30^o}{AC}=\frac{\sin 116^o}{45}\\\\AC=\frac{\sin 30^o\times 45}{\sin 116^o}\\\\AC=25units[/tex]
Hence, the value of [tex]\angle B[/tex] is [tex]30^o[/tex], the length of BC and AC is 28 units and 25 units respectively.
Which choice is equivalent to the fraction below when x >= 2
B. [tex]2( \sqrt{x} + \sqrt{x - 2} )[/tex] ✅
Step-by-step explanation:
[tex] \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \\\\ = \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \times \frac{ \sqrt{x} + \sqrt{x - 2} }{ \sqrt{x} + \sqrt{x - 2} } \\ \\ = \frac{4( \sqrt{x}) + 4( \sqrt{x - 2} )}{( { \sqrt{x} )}^{2} - { (\sqrt{x - 2} })^{2} } \\ \\ [∵(a + b)(a - b) = {a}^{2} - {b}^{2} ] \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - (x - 2)} \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - x + 2} \\ \\ = \frac{4( \sqrt{x} + \sqrt{x - 2} ) }{ 2} \\ \\= 2( \sqrt{x} + \sqrt{x - 2} )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
La Gioconda, de Leonardo da Vinci, es una de las pinturas mas famosas del mundo. Sus dimensiones son 77 cm de largo y 53 cm de ancho. Si un cartel publicitario tiene dicha pintura ampliada a una razon de semejanza de 5,6 ¿Cuál es el area de la reproduccion?
Answer:
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
vmate im just here for the b coins
Step-by-step explanation:
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
Suppose that there are 20 numbers in a data set and that they are all different. a. How many of the values in this data set are between the first quartile and the third quartile?
Step-by-step explanation:
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pls help me solve pls show how you got the answer
Answer:
Step-by-step explanation:
p=8 cm
one side=8/4=2 cm
edge of black square=2/4=1/2 cm=0.5 cm
area of one square=(0.5)²=0.25 cm²
total area of two black squares=2×0.25=0.5 cm²
length of white rectangle=2/2=1 cm
width=2/4=1/2 cm=0.5 cm
area of one rectangle=1×0.5=0.5 cm²
area of two rectangles=2×0.5=1 cm²
total area=0.5+1=1.5 cm ²
Which expression is equal to 2 x 7 x 6?
(2 x 7) + (2 x 6)
7 x 2 x 6
(2 + 7) x (2+6)
7+2 +6
Doe-
Answer:
84
Step-by-step explanation:
An automobile factory wants to produce a total of 210 cars during three shifts. If the first shift produces two-fifths of the cars and the second shift produce one-third of the cars, what fraction of the total cars does the third shift need to produce?
Answer:
Step-by-step explanation:
answer below
Answer: 4/15
Step-by-step explanation: Total Cars to be produced in three Shifts = 210
Fraction of total cars to be produced in First Shift = 2/5
Fraction of total cars to be produced in second Shift = 1/3
Summation of all the fractions of total cars to be produced in all the three shifts should be equal to 1
Hence, fraction of total cars to be produced in third Shift = 1- (2/5) - (1/3)
= ( 15 - 6 - 5)/15 ( taking LCM of 5&3)
= 4/15
Addison earned a score of 510 on Exam A that had a mean of 550 and a standard
deviation of 40. She is about to take Exam B that has a mean of 26 and a standard
deviation of 5. How well must Addison score on Exam B in order to do equivalently
well as she did on Exam A? Assume that scores on each exam are normally
distributed.
Answer:
21
Step-by-step explanation:
Algebraic Method: Find Z-Score for Exam A
[tex]z=\frac{x_A-μ_A}{σ_A}[/tex]
[tex]z=\frac{510-550}{40}[/tex]
[tex]z=\frac{-40}{40}[/tex]
[tex]z=-1[/tex]
Addison scored 1 standard deviation below the mean.
Plug Z into formula for Exam B:
[tex]-1\frac{x_B-26}{5}[/tex]
[tex]-5=x_B-26[/tex]
[tex]21=x_B[/tex]
Addison would have to score 21 on Exam B
Help meeeeeeeeeeeeeee please
Answer:
[tex]6^{-5}[/tex]
Step-by-step explanation:
lmk if its right :)
Which expression can be used to find 80% of 120?
80% of 120
20%
20%
20%
20%
20%
Answer:
20%
Step-by-step explanation: