Answer:
zero of the function occurs at x = -6
Step-by-step explanation:
Given f(x) = -4(x+3)+6(x+4)
Since the question is incomplete, we can as well find the zero of the given function. The zero exists when f(x) = 0
Hence;
-4(x+3)+6(x+4) = 0
Expand
-4x - 12 + 6x + 24 = 0
Collect the like terms
-4x + 6x - 12 +24 = 0
2x + 12 = 0
2x = -12
x = -12/2
x = -6
Hence the zero of the function occurs at x = -6
The average number of shirts that a shop sold each month is given in the graph. In the graph, 1 represents January, 2 represents February, and so on. Based on the graph, how many shirts can the shop expect to sell in June of that year? A. 60 shirts B. 160 shirts C. 220 shirts D. 320 shirts
Answer:
320 shirts
Step-by-step explanation:
Answer:
320 shirts
Step-by-step explanation:
If the shirts were around 400 in January, then you would assume that near June, the number of shirts sold would be 320 shirts.
find the coefficient of mt in the expansion of 4m(3n-2t)+3t(3t-2m)
Answer:
-14
Step-by-step explanation:
12mn-8mt+9t²-6mt
12mn+9t²-14mt
the coefficient of mt is -14
The coefficient of the given expansion 4m(3n-2t)+3t(3t-2m) will be -14.
What is expansion?Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.
When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.
In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.
In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.
Given that
⇒ 4m(3n-2t)+3t(3t-2m)
⇒ 12mn -8mt + 9t² - 6mt
⇒ 12mn + 9t² + 14 mt
Hence it's clear that the coefficient of mt will be -14.
For more information about the expansion
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Is the equation below written in standard form? If not, select which explanation best applies to why the equation
is not written in standard form.
12 = 2x + 4y
A. the requirement that A 20 is not satisfied
B. the requirement that A and B are not both zero is not satisfied
C. A, B, and C do not have a greatest common factor of 1
D. the equation is written in standard form
Answer:
D
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers
12 = 2x + 4y , that is
2x + 4y = 12 ← is in standard form
Must show work! PLEASE DO THIS ASAP!
No links
Answer:
37.68
Step-by-step explanation:
The formula for circumference is 2*pi*r plug in 6 for the radius to get 2*3.14*6 simplify to get 37.68
[tex]\rm \: \hookrightarrow \:\:Circumference \: \: of \: \: circle \: = \: 2 \: \pi \: r[/tex]
r = 6 inchesπ = 3.14[tex]\bf \large \: \implies \:\:2 \: \times \: 3.14 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:6.28 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:37.68 \: \: inches[/tex]
Which of the points does not lie on the line y=x^2
Answer:
y does not lie on the point x^2 lie
Answer:
[tex]\large \green{ \boxed{\boxed{\begin{array}{cc} \maltese \: \bf \: (\frac{3}{2}, \frac{9}{2} ) \: dose \: not \: lie \\ \\ \bf \: on \: the \: curve \: \: \end{array}}}}[/tex]
I need help to find x=
Answer:
x=12
Step-by-step explanation:
Since the polygons are similar, we can write a ratio to solve
red side / yellow side
4 2
--- = ---
x 6
Using cross products
4*6 = 2x
24 = 2x
Divide by 2
24/2 =2x/2
12=x
Answer:
12
Step-by-step explanation:
When two shapes are similar, you need to find the scale factor of two existing corresponding sides.
For example, you can do 6 and 2.
Divide:
6/2 = 3
The scale factor: 3
Now multiply 4 and the scale factor (3):
4 × 3 = 12
So, x = 12.
Hope this helped.
The half life of a substance is 30 days. If there are 4.5 grams to start with, how much will be left after 23 days? Round to the nearest tenth of a gram. Be sure to label your answer.
65.4Step-by-step explanation:KHAN
Important formula:
[tex]N_t = N_0 (1/2)^\frac{t}{t_{1/2}}[/tex]
Here, you are trying to find Nt and you have N0 = 4.5g, t = 23 days, t1/2 = 30 days. Plug the values in and you should get 2.7g left after 23 days.
geometry: follow directions below for each figure. Show steps. Circle answers. find the area of each figure.
HELP ASAP!!
THANKS IF YOU DID!!
Answer:
A = 5.6 m^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 h( b1+b2) where h is the height and b1 and b2 are the lengths of the bases
A = 1/2 (2) (4+1.6)
A = 1(5.6)
A =5.6 m^2
Answer:
Step-by-step explanation:
b1 = 4 m ; b2= 1.6m ; h = 2m
[tex]A =\frac{1}{2}h(b_{1}+b_{2})\\\\=\frac{1}{2}*2(4+1.6)\\\\=\frac{1}{2}*2*5.6\\\\=5.6 m^{2}[/tex]
(x/a)+(x/b)=c; where a≠0, b≠0, a≠-b, solve for x
Answer:
I hope it is correct.. :)
Para un proyecto de arte, omar debio trasladar en la cuadricula la figura de colocar segun estas indicaciones 6 cuadraditos hacia la izquierda y 5 cuadraditos hacia la derecha dibula en la cuadricula la figura en su nueva ubicacion
Answer:
Después de una búsqueda online, encontre la pregunta completa, la cual puede verse abajo.
Lo que queremos hacer es mover la figura 6 unidades a la izquierda, y 5 unidades hacia abajo.
Para hacer esto, simplemente podemos tomar cada vértice de la figura y moverlo 5 unidades hacia abajo, y luego 6 unidades a la izquierda.
Una vez hemos movido los 4 vértices, podemos conectarlos con segmentos, y de esta forma tendremos la figura trasladada.
En la segunda imagen se puede ver como este proceso se hace para el vértice derecho de la base. En el mismo gráfico se movieron los otros 3 vértices y se conectaron, para así obtener la figura trasladada.
Hello :) how to do this?
Answer:
Please see the attached pictures for the full solution.
[tex]\boxed{ \frac{d}{dx} ( {x}^{n} ) = n {x}^{n - 1} }[/tex]
Sam feels that students score better on math tests that take place on Fridays. The school provides Sam with the school math test average, but they cannot separate them by date taken. The school is too large for him to ask every student, so he randomly selects a sample of willing students' test scores after the next Friday's math test. He uses the method of hypothesis testing to compare the Friday scores against the true average of all scores. Frame the correct set of hypotheses for his research. Decide where the rejection region will lie.
Answer:
H0 : μ ≤ x
H1 : μ > x
The hypothesis :
The null hypothesis, H0 : μ ≤ x
The alternative hypothesis, uses the Friday score samples to compare the hypothesis ;
The alternative hypothesis, H1 : μ > 8
For then null, the mean scores is assumed to be the same, and has such mean of Friday's test score takes the value of the population.
Let the population mean value = x
The alternative hypothesis is the claim that the sampled mean gives a greater value than the population mean :
H1 : μ > x
Help me! thank you so much
Answer:
Step-by-step explanation:
[tex]\frac{sinxcos^3x-cos xsin^3x}{cos^42x-sin^42x} \\=\frac{sin x cos x(cos^2x-sin ^2 x)}{(cis^2 2x+sin^2 2x)(cos^2 2x-sin ^22x)} \\=\frac{2sin x cos x cos 2x}{2(1)(cos 4x)} \\=\frac{sin 2x cos 2x}{2 cos 4x} \\=\frac{2 sin 2x cos 2x}{4 cos 4x} \\=\frac{sin 4x}{4 cos 4x} \\=\frac{1}{4} tan 4x[/tex]
Help please! Need this answered quick!
Answer:
3.6
Step-by-step explanation:
the ratio of AB to AD is 3/5 so the ratio of BC to DE is also 3/5, therefore BC=3/5 DE= (3/5)6= 3.6
Solve for hhh: h-\left(-2.22\right)=-7.851h−(−2.22)=−7.851h, minus, left parenthesis, minus, 2, point, 22, right parenthesis, equals, minus, 7, point, 851 h =h=h, equals
The question isn't well formatted ; however, from what can be deduced from the question posted :
Answer:
- 10.071
Step-by-step explanation:
Given the expression :
Solve for hhh: h-\left(-2.22\right)=-7.851h−(−2.22)=−7.851h, minus, left parenthesis, minus, 2, point, 22, right parenthesis, equals, minus, 7, point, 851 h =h=h, equals
Expressing Mathematically :
h - (- 2.22) = - 7.851
Opening the bracket :
h + 2.22 = - 7.851
Subtract 2.22 from both sides :
h + 2.22 - 2.22 = - 7.851 - 2.22
h = - 10.071
(-2 1/2) to the second power
Answer:
6.25
Step-by-step explanation:
[tex](-2\frac{1}{2})^2\\\\(-\frac{5}{2} )^2\\\\(\frac{5}{2})^2\\\\\frac{5^2}{2^2}\\\\\frac{25}{4}\\\\\boxed{6\frac{1}{4}}\text{ or } 6.25[/tex]
Hope this helps.
I just need to find that last box guys please help me solve this
Answer:
Step-by-step explanation:
y = 600 * (1.04)¹⁵
= 600 * 1.80094351
= $ 1080.57
Proof that :
[tex] {sin}^{2} \theta + {cos}^{2} \:\theta= 1[/tex]
Thx.
Answer:
Solution given:
Right angled triangle ABC is drawn where <C=[tex]\theta[/tex]
we know that
[tex]\displaystyle Sin\theta=\frac{opposite}{hypotenuse} =\frac{AB}{AC}[/tex]
[tex]\displaystyle Cos\theta=\frac{adjacent}{hypotenuse}=\frac{BC}{AC} [/tex]
Now
left hand side
[tex] \displaystyle {sin}^{2} \theta + {cos}^{2} \:\theta[/tex]
Substituting value
[tex](\frac{AB}{AC})²+(\frac{BC}{AC})²[/tex]
distributing power
[tex]\frac{AB²}{AC²}+\frac{BC²}{AC²}[/tex]
Taking L.C.M
[tex]\displaystyle \frac{AB²+BC²}{AC²}[/tex]....[I]
In ∆ABC By using Pythagoras law we get
[tex]\boxed{\green{\bold{Opposite²+adjacent²=hypotenuse²}}}[/tex]
AB²+BC²=AC²
Substituting value of AB²+BC² in equation [I]
we get
[tex]\displaystyle \frac{AC²}{AC²}[/tex]
=1
Right hand side
provedIf g(x) = 2(x − 4), find the value of x if g(x) = 20
Answer:
x=14
Step-by-step explanation:
g(x) = 2(x − 4)
Let g(x) = 20
20 = 2(x − 4)
Divide each side by 2
20/2 = 2(x-4)/2
10 = x-4
Add 4 to each side
10+4 = x-4+4
14 =x
Martha and Dave have 99$. Martha has 3 more than seven times as much money as Dave. How much does each person have?
Answer:
x = 12 m = 87
Step-by-step explanation:
x = Dave
(7x + 3) + x = 99
8x + 3 = 99
-3 -3
8x = 96
---- ----
8 8
x = 12
7(12) + 3
84 + 3
87
Dave has 12 dollars, Martha has 87.
y= -(x+3)^2 -5
What is the leading coefficient?
How do you find the vertex?
Answer:
To find the leading coefficient, first expand the function:
[tex]y= -(x+3)^{2} -5\\\\y=-(x^{2} +6x+9)-5\\\\y=-x^{2} -6x-9-5\\\\y=-x^{2} -6x-14[/tex]
The leading coefficient is the coefficient of the highest-order term, which, in this case, would be the -1 from -x².
To find the vertex: see image below
Vertex = (-3, -5)
Find the value of x
2x degrees and 3x degrees ..
they are supplements angles
Answer:
2x+3x=180°
that is 5x=180°meaning x=32°
Which expression is equivalent to (3a)–2?
Answer:
[tex] \frac{1}{9a { }^{2} } [/tex]
Step-by-step explanation:
I hope this help if it doesn't I'm sorry
Which equation matches the graph shown?
[tex]we conclude that option B:[/tex]
[tex]y + 5 = -\frac{1}{2}*(x - 3)^2[/tex]
[tex]Is the graphed function.[/tex]
Which equation matches the graph shown?On the graph we can see a parabola that opens downwards, so it has a negative leading coefficient.
We also can see that the vertex of the parabola is on the point (3, -5)
Then the equation of the parabola is something like:
y + 5 = a*(x - 3)^2
Where a is a negative real number.
The only option of this form is option B, so we conclude that option B:
[tex]y + 5 = -\frac{1}{2}*(x - 3)^2[/tex]
Is the graphed function.
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A box of crayons has one each of red, orange, yellow, green, blue, purple, black, and brown. What is the probability of randomly selecting the black crayon and then randomly selecting the purple crayon if you do replace the first crayon before selecting the second crayon?
Help with Pythagorean theorem
Answer:
45
Step-by-step explanation:
(27*27)+(36*36) = 2025
square root 2025 and you get 45
to check 45*45=2025
Can someone pls help with this
here it is :)
do check properly, I have given step by step instructions:)
do give feedback on my answer, would appreciate it!
Answer:
900000
Step-by-step explanation:
[tex]30*10^{4}[/tex]
=3*10000
=30000
=30*30000
=900000
Inverse trigonometry functions I need help finding the answers everything I’ve tried says it’s wrong
Answer:
see below
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hypotenuse
cos x = 13/20
Taking the inverse cos of each side
arccos ( cos x ) = arccos( 13/20)
x = arccos ( 13/20)
x =49.45839
x = 49 to the nearest whole number
sin theta = opp/ hyp
sin y = 13/20
Taking the inverse sin of each side
arcsin ( sin y ) = arcsin( 13/20)
y = arcsin ( 13/20)
y=40.5416
y = 41 to the nearest whole number
Find Missing Angle
Instructions: Find the measure of the indicated angle to the nearest degree.
27
28
?
II
Answer:
75 degrees
Step-by-step explanation:
Use trigonometry
we are given opposite(27) and hypotenuse(28), so use sin
sin=opp/hyp
sin(x)=27/28
x=arcsin(27/28)
x=74.64111442
the area of a parallelogram shape land is on the square and length of its two adjacent sides are 25 m and 17 M find its diagonal
Step-by-step explanation:
Draw diagonal AC
The triangle ABC has sides 17 and 25
Say AB is 17, BC is 25
Draw altitude on side BC from A , say h
h = 17 sin B
Area = 25*17 sin B = 408
sin B = 24/25
In ∆ ABC
Cos B = +- 7/25
= 625 + 289 — b^2 / 2*25*17
b^2 = 914 — 14*17 = 676
b = 26
h = 17*24/25 = 408/25 = 16.32
Draw the second diagonal BD
In ∆ BCD, draw altitude from D, say DE =h
BD^2 = h^2 + {(25 + sqrt (289 -h^2) }^2
BD^2 = 16.32^2 + (25 + 4.76)^2
= 885.6576 + 266.3424
BD = √ 1152 = 33.94 m
