Answer:
(x + 4)(x + 3)
Step-by-step explanation:
x^2 + 7x + 12
In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.
so we need two number that gives 12 when multiplied and 7 when added
4 and 3 are the numbers because 4*3 = 12 and 4+3 = 12
=x^2 + (4 + 3)x + 12
=x^2 + 4x + 3x + 12
=x(x + 4) + 3(x + 4)
take (x + 4) as common
=(x + 4) (x*1 + 3*1)
=(x + 4)(x + 3)
what is the value of this expression when x = -5 and y = -3 [tex]\frac{2}{3} x^{3} y^{2}[/tex]
Answer:
y = - 750
Step-by-step explanation:
Given
y = [tex]\frac{2}{3}[/tex] x³y² ← substitute x = - 5, y = - 3 into the expression
= [tex]\frac{2}{3}[/tex] × (- 5)³ × (- 3)²
= [tex]\frac{2}{3}[/tex] × - 125 × 9 ( cancel the 3 and 9 )
= 2 × - 125 × 3
= - 750
X, Y and Z are three points on a map. Y is 85km and on a bearing of 190° from X. Z is on a bearing of 140°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP
Answer:
The distance between X and Z is approximately 95.99 km
Step-by-step explanation:
Given, X, Y and Z are three points on a map. Y is 85km and on a bearing of 190° from X. Z is on a bearing of 140°, from Y. Z is due south of X.(For Diagram Please Find in Attachment)
Thus, The parameters areThe distance of Y from X = 85 km
The bearing of Y from X = 190°
The bearing of Z from Y = 140°
The bearing of Z from X = 180°
Now,
In triangle XYZ, we have∠YZX = 180° - (130° + 10°) = 40°
Therefore, Apply the sine rule here, we get
(85 km)/sin(40°) = XZ/(sin(130°))
XZ = sin(130°) × (85 km)/sin(30°) ≈ 95.99 km
The distance between X and Z ≈ 95.99 km
Which is a better estimate for the height of a 5-story building?
a. 15 centimeters b.15 meters
Answer:
b. 15 meters
Step-by-step explanation:
This doesn't involve a lot of math, just some common sense. 15 centimeters is about the size of a pencil so that is definitely not the answer. Therefore, 15 meters would be the correct choice.
Answer:
B bro
Step-by-step explanation:
En una panadería se dispone diariamente de 80 kg de masa y de 24 kg de frutas (secas y confitadas) para preparar dos tipos de panetones: especial y Premium, según estos requerimientos: Panetón especial: 1kg de masa y 200 g de frutas Panetón Premium: 1kg de masa y 400 g de frutas Si el panetón especial se vende a $3 y el Premium a $4, ¿Cuántos panetones especiales y Premium deben hacerse para obtener el máximo ingreso?
Answer:
x₁ = 40 x₂ = 40 z (max) = 280
Step-by-step explanation:
El presente es un problema de programación lineal, este problema se resuelve por el procedimiento o Método Simplex, con programas de resolución en línea. Como en este caso se trata de que se venden unidades enteras ( es decir las variables son enteros reales) entonces hay que imponer esa condición a nivel de la solución
Para preparar:
Masa Kg Frutas Kg Precio de venta $
Panetón tipo esp. x₁ 1 0.2 3
Panetón tipo Prem x₂ 1 0.4 4
Disponibilidad 80 24
Función Objetiva
z = 3*x₁ + 4*x₂ a maximizar
Sujeto a:
Restricciones o condicionantes:
1.- Cantidad de masa 80 Kgs
1*x₁ + 1*x₂ ≤ 80
2.- Cantidad de frutas 24 kgs.
0.2*x₁ + 0.4*x₂ ≤ 24
x₁ ≥ 0 x₂ ≥0 deben ser enteros
El modelo es:
z = 3*x₁ + 4*x₂ a maximizar
Sujeto a:
1*x₁ + 1*x₂ ≤ 80
0.2*x₁ + 0.4*x₂ ≤ 24
x₁ ≥ 0 x₂ ≥0 deben ser enteros
Usando Atomzmath on-line, después de 6 iteracciones, la solución óptima es:
x₁ = 40 x₂ = 40 z (max) = 280
I need help with these questions please answer :(
Answer:
1. Electrons
2. amphere
3. closed
4. positive to negative
5.open
all of the students at mountain range foreign language. 5/8 students take spanish.3/10 of the students take french.the remaining students take mandarin. what fraction of the students take mandarin?
Fraction of students taking mandarin: 3/40
Hope it helps.
Help me plsssssssss
[tex]y \: \alpha \: x[/tex]
Let c be the constant
[tex]y = cx \\ 16 = c4 \\ c = \frac{16}{4} \\ c = 4[/tex]
SO:-[tex]y = cx \\ y = 4 \times ( - 2) \\ y = ( - 8)[/tex]
Answer:
y = 4x
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 16 when x = 4 , then
16 = 4k ( divide both sides by 4 )
4 = k
y = 4x ← equation of variation
When x = - 2 , then
y = 4 × - 2 = - 8
graph y = |x| -1
graph 1- looks like an arrow pointing down (only in top quadrants)
graph 2- like an inverted checkmark (bottom point in top right quadrant)
graph 3- looks like an arrow pointing down (in all quadrants)
Answer:
It should look roughly like this
When a = 1 and b = 5, what is the value of c?
Answer:
5.1
Step-by-step explanation:
a² + b² = c²
1² + 5² = c²
1 + 25 = c²
26 = c²
c = 5.1
Answer:
The constant of variation is k =
3/8
When a = 1 and b = 5, what is the value of c?
3/40
What is 5 7/8 - 1 1/8
Answer to this equation:
4 3/4
Answer:
4.75
Step-by-step explanation:
This is what I got. have a nice day:)
WILL GIVE U BRAINLIEST ♡ Rationalize the denominator of fraction with numerator square root of -36 divided by (2-3i)+(3+2i)
Answer:
[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]
Step-by-step explanation:
[tex] \frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)} [/tex]
Set up equation
Step 1: Simplify
[tex] \frac{6i}{5 - i} [/tex]
Step 2:Multiply by conjugate
[tex] \frac{6i}{5 - i} \times \frac{5 + i}{5 + i} [/tex]
Step 3:Simplify
[tex] \frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2} } [/tex]
We can reduce this and we must make the imaginary number and real number serpate equations.
[tex] - \frac{6}{26} + \frac{30i}{26} [/tex]
Reduce each by 2
[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]
write the solution as a coordinate pair. SHOW YOUR WORK!!!!!
GIVING BRAINIEST TO WHOEVER HELPS ME AND GETS IT RIGHT!!!
Answer:
(-4,8)
Step-by-step explanation:
x + 4y = 28
+ -x + y = 12
5y = 40
y = 8
-x + (8) = 12
-x + 8 = 12
-x = 4
x = -4
Rishaun ran a prize booth at a professional basketball game. He helped guests spin a spinner and then handed them the prizes the spinner landed on. After 400 guests spun the wheel he had collected the following data.
Which of the following is most likely to happen if another 200 guests spin the spinner?
ticket to future game
Step-by-step explanation:
it is because guest won a lot of notepad and mini baseketball so there is chances where ticket to future game still available a lot .
Hi can someone answer this question for me I would really appreciate it.
What is the value of x in the equation -3/4 = x/24
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 18}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{ - 3}{4} = \frac{x}{24} [/tex]
➼ [tex] \: x = \frac{ - 3 \times 24}{4} [/tex]
➼ [tex] \: x = \frac{ - 72}{4} [/tex]
➼ [tex] \: x = - 18[/tex]
Therefore the value of [tex]x[/tex] is -18.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex] \frac{ - 3}{4} = \frac{ - 18}{24} [/tex]
➼ [tex] \: \frac{ - 3}{4} = \frac{ - 3}{4} [/tex]
➼ L. H. S. = R. H. S.
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35♨}}}}⋆[/tex]
which graph represents the function f(x) = |x| - 4?
Answer:
So f(x) is y
y = |x| -4
Put in some numbers for x and see which graph matches the y output.
The first graph.
Can some one pls help get the answers
Answer:
[tex] \frac{1}{5} [/tex]
n(S) = 5
n(6) =1
So, P(6)= n(6)/n(S)
=1/5
Find the measure of "theta". Round all answers to the nearest tenth.
Answer:
[tex]\displaystyle \theta \approx 36.4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ
Opposite Leg = 31
Adjacent Leg = 42
Step 2: Find Angle
Substitute in variables [tangent]: [tex]\displaystyle tan(\theta) = \frac{31}{42}[/tex]Inverse Trig: [tex]\displaystyle \theta = tan^{-1}(\frac{31}{42})[/tex]Evaluate: [tex]\displaystyle \theta = 36.4309[/tex]Round: [tex]\displaystyle \theta \approx 36.4[/tex]What is the equation of the line that passes through the point (3,-5)(3,−5) and has a slope of \frac{2}{3}
Answer:
y = 2/3x - 7.
Step-by-step explanation:
Using the point-slope form of a straight line:
y - y1 = m (x - x1) so we have
y -(-5) ) = 2/3 (x - 3)
y + 5 = 2/3x - 2
y = 2/3x - 7.
Answer:
y = 2/3x -7
Step-by-step explanation:
We know the equation of a line is
y = mx+b where m is the slope and b is the y intercept
y = 2/3 x +b
Substitute the point into the equation
-5 = 2/3 (3)+b
-5 = 2+b
Subtract 2 from each side
-7 = b
The equation of the line
y = 2/3x -7
Which graph represents a proportional relationship?
Answer:
top graph
Step-by-step explanation:
The graph of a proportional relationship is a straight line graph passing through the origin.
The only graph to pass through the origin is the top one
If the distance from D to D' is 10 and the distance from A to D is 5, what is the scale factor?
Answers:
1) 3
2) 2
3) 1/2
4) 1/3
Answer:
2
Step-by-step explanation:
Because 10/5 is 2
The scale factor for the given distances will be 2. The correct option is 2.
To determine the scale factor, we need to compare the distances between corresponding points in two similar figures. In this case, the distances between points D and D' in one figure and points A and D in the other figure are provided.
The scale factor is determined by dividing the distance between corresponding points in the two figures. Therefore, the scale factor can be calculated by dividing the distance from D to D' (10) by the distance from A to D (5):
Scale factor = Distance from D to D' / Distance from A to D = 10 / 5 = 2
Therefore, the correct answer is option 2). The scale factor is 2.
To know more about scale factors follow
https://brainly.com/question/30215044
#SPJ2
which expression is equivalent to 5^3√6c+7^3√6c, if c ≠ 0
Answer:
Option C
Step-by-step explanation:
complete question
A. 35[3]6cB. 12[3]12cC. 12[3]6cD.72c
The given equation can be written as
5^3√6c+7^3√6c
5 * [tex]\sqrt{3 *3*2c}[/tex] + 7 * [tex]\sqrt{3 *3*2c}[/tex]
5 * 3 *[tex]\sqrt{2c}[/tex] + 7 * 3 *[tex]\sqrt{2c}[/tex]
15 *[tex]\sqrt{2c}[/tex] + 21 *[tex]\sqrt{2c}[/tex]
36 *[tex]\sqrt{2c}[/tex]
12 [3]*[tex]\sqrt{2c}[/tex]
Option C is correct
Help help help help
Answer:
its the second option
Step-by-step explanation:
Answer:
y = 3x - 4
Step-by-step explanation:
x = 2:
3(2) - 4 = 2
x = 3:
3(3) - 4 = 5
x = 4:
3(4) - 4 = 8
x = 5:
3(5) - 4 = 11
Hey , can you please answer this? It’s urgent I need it for tomorrow.
Answer:
Step-by-step explanation:
object X-axis Y-axis y = x y = -x
(0,6) (0 , -6) (0,6) (6 ,0) (-6 ,0)
(-3 , 5) (-3, -5) (3 , 5) (5 , -3) (-5 , 3)
(-4 , -6) (-4 , 6) (4 , -6) (-6,-4) (6 , 4)
(8,-3) (8 , 3) (-8,-3) (-3, 8) (3 , -8)
(0,3) (0 ,-3) (0 ,3) ( 3, 0) (-3 , 0)
(0, -9) (0 , 9) (0 ,9) (-9 , 0) ( 9 , 0)
(5,0) (5, 0) (-5,0) (0 , 5) (0 , -5)
(-2,0) (-2,0) (2,0) (0, -2) (0,2)
(-7 , 8) (-7 , -8) (7 , -8) (8, -7) (-8,7)
(12 , -6) (12, 6) (-12,-6) (-6,12) (6 ,-12)
When a point is reflected over x-axis, x-coordinate remains same and y-coordinate change to its opposite sign.
When a point is reflected over y-axis, y-coordinate remains same and x-coordinate change to its opposite sign.
When a point is reflected over y = x axis, x-coordinate and y-coordinate change their places.
When a point is reflected over y = -x axis, x-coordinate and y-coordinate change their places and are negated
pls say fast wrong answers = report
Answer:
[tex]a = - \frac{179}{171} \ , \ b = - \frac{20 \sqrt7}{171}\\\\[/tex]
Step-by-step explanation:
[tex]\frac{2 + 5 \sqrt7}{2 - 5 \sqrt7} = \frac{2 + 5 \sqrt7}{2 - 5 \sqrt7} \times \frac{2 + 5 \sqrt7}{2 + 5 \sqrt7}[/tex] [tex][ \ rationalize \ the \ denominator \ ][/tex]
[tex]=\frac{(2 + 5 \sqrt7)^2}{(2)^2 -( 5 \sqrt7)^2}[/tex] [tex][ \ (a - b)(a+b) = a^2 - b^2 \ ][/tex]
[tex]=\frac{4 + 25(7) + 20 \sqrt7}{4 - 25(7)}\\\\= \frac{4 + 175 + 20 \sqrt7}{4 - 175} \\\\= \frac{179 + 20 \sqrt7}{- 171} \\\\= \frac{179}{ -171} + \frac{20 \sqrt7}{-171}\\\\= - \frac{179}{ 171} - \frac{20 \sqrt7}{171}\\\\[/tex]
Name the marked angle in 2 different ways.
1) angle HJI
2) angle IJH
Name a geometric figure that could be the height of a tree
Answer:
Triangle
Step-by-step explanation:
h = Tan A x d, where h is the tree height, d is the distance from tree, and A is the angle to the top of the tree.
Basically you want to solve for the hypotenuse by using basic trig
How do you solve x^2+5x-14=0
Answer:
x = -7 , x = 2
Step-by-step explanation:
[tex]x^2 + 5x -1 4= 0\\\\x^2 + 7x -2x - 14 = 0\\\\x(x + 7) -2(x + 7) = 0\\\\(x+7)(x-2) = 0\\\\x+ 7 = 0 , \ x - 2 = 0 \\\\x = - 7 , \ x = 2[/tex]
Answer:
x = - 7, x = 2
Step-by-step explanation:
Solve by factoring , that is
x² + 5x - 14 = 0
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2 , since
7 × - 2 = - 14 and 7 - 2 = + 5 , then
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and one-third cups of flour. How many loaves did Dianna make?
Answer:
5 loaves
Step-by-step explanation:
13 1/3 divided by 2 2/3 is 5 so the answer is 5 loaves.
Rewrite the fractions as improper fractions then divide the total amount used by the amount per loaf:
13 1/3 = 40/3
2 2/3 = 8/3
40/3 / 8/3
When dividing by a fraction flip the fraction over and multiply
40/3 x 3/8 = (40 x3) /( 3 x 8) = 120/24 = 5
She made 5 loaves of bread.
Which expression is equivalent to 96?
Answer:
[tex]4\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{96}[/tex]
[tex]\sqrt{2*2*2*2*2*3}[/tex]
[tex]2*2\sqrt{2*3}[/tex]
[tex]4\sqrt{6}[/tex]