(a+3)(a-2)
a^2-2a+3a-6
a^2+a-6
Answer is a^2+a-6
You must FOIL (first, outside, inside, last)
First (The first number/variable of each parentheses must be multiplied together)
(a + 3)(a - 2)
[tex]a^{2}[/tex]
Outside (The outside number/variable of each parentheses must be multiplied together)
(a + 3)( a - 2)
-2a
Inside (The inside number/variable of each parentheses must be multiplied together)
(a + 3)(a - 2)
3a
Last (The last number/variable of each parentheses must be multiplied together)
(a + 3)( a - 2)
-6
Now add/subtract each FOIL answer according to its sign
[tex]a^{2}[/tex] - 2a + 3a - 6
Combine like terms
[tex]a^{2}[/tex] + a - 6
Hope this helped!
~Just a girl in love with Shawn Mendes
A trapezoid has a base of two and six and an area of 24 square units. What is the height?
[tex]\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=&\stackrel{bases}{parallel}\\ &sides\\ h=&height\\ \cline{1-2} a=&2\\ b=&6\\ A=&24 \end{cases}\implies 24=\cfrac{h(2+6)}{2}\implies 24=\cfrac{h(8)}{2} \\\\\\ 24=4h\implies \cfrac{24}{4}=h\implies 6=h[/tex]
Leonardo put a $600 ring on layaway by making a 10% down payment and agreeing to pay $65 a week. How many weeks will it take your nardo to pay off the ring?
Answer: 9 weeks
Step-by-step explanation:
Final answer:
Leonardo will take 9 weeks to fully pay off the $600 ring after making a 10% down payment and weekly payments of $65.
Explanation:
The question is asking how many weeks it will take Leonardo to pay off a ring valued at $600 with a 10% down payment and subsequent weekly payments of $65.
First, calculate the down payment Leonardo makes: 10% of $600 equals $60. Subtract the down payment from the original price to find out the remaining amount Leonardo has to pay, which is $600 - $60 = $540.
Next, divide the remaining amount by the weekly payment: $540 divided by $65 per week equals approximately 8.31, which rounds up to 9 weeks since you can't make a fraction of a payment.
Therefore, it will take Leonardo 9 full weeks to pay off the ring.
Add (7x^2-3x) + (5x-6)
A. 7x^3 +2x -6
B. 4x^2 -x
C. 7x^2 -2x-6
D. 7x^2- 8x-6
Answer:
Let's simplify step-by-step.
7x^2−3x+5x−6
=7x^2+−3x+5x+−6
Combine Like Terms:
=7x^2+−3x+5x+−6
=(7x^2+2x+−6 )
Answer:
=7x^2+2x−6
Final answer:
The sum of (7x² - 3x) and (5x - 6) is found by combining like terms, resulting in 7x² + 2x - 6, which is option C.
Explanation:
To solve the algebraic addition (7x²-3x) + (5x-6), you need to combine like terms.
First, identify and group like terms from both expressions. Like terms are those that have the same variable raised to the same power.
Combine the coefficients (numerical values) for each group of like terms.
Now, let's go through each step:
For the x2 terms: 7x2 (from the first polynomial) has no like term in the second polynomial, so it remains as is.
For the x terms: -3x (from the first polynomial) and +5x (from the second polynomial) combine to give 2x.
Lastly, the constant terms: -6 (from the second polynomial) also has no like term in the first polynomial, so it remains as is.
By combining these, the result is 7x² + 2x - 6, which corresponds to option C.
Which matrix is the product of a 3 × 3 identity matrix and the scalar 3?
Answer:
[tex]\left[\begin{array}{ccc}3&0&0\\0&3&0\\0&0&3\end{array}\right][/tex]
Step-by-step explanation:
In order to find out the resulting matrix, we will have to multiply the identity matric and the scalar 3:
The 3x3 identity matrix is:
[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]
Multiplying with scalar 3:
[tex]3\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]
The scalar will be multiplied by each element of the matrix.
Multiplying zeros with scalar 3 will give us zero. So the resulting matrix will be:
[tex]\left[\begin{array}{ccc}3*1&0&0\\0&3*1&0\\0&0&3*1\end{array}\right] = \left[\begin{array}{ccc}3&0&0\\0&3&0\\0&0&3\end{array}\right][/tex]
So the resultant matrix will be a scalar matrix with 3 at diagonal positions..
Answer:
it's D on edge
Step-by-step explanation:
Linear function A and linear function B both have the same input values as shown below. Why will the output values for linear function A always be different than the corresponding output values for linear function B? The initial values of the two functions are different, and the rates of change of the two functions are also different. The initial values of the two functions are different, and the rates of change of the two functions are the same. The initial values of the two functions are the same, and the rates of change of the two functions are different. The initial values of the two functions are the same, and the rates of change of the two functions are also the same.
Answer:The initial values of the two functions are different, and the rates of change of the two functions are the same.
Step-by-step explanation:
The values will start out different. When you apply the rate of change, because they have the same rate of change, you don't risk them coming out with the same value if the values ended up being just right, they will always remain different.
The differences in the output values for linear function A and function B are a result of varying y-intercepts and slopes in each function. When plotted on a graph, these differences become apparent.
Explanation:The output values for linear function A and function B will differ because of variations in their respective initial values (or y-intercepts) and their rates of change (or slopes). When you plot these output values against the shared input values as a graph of y as a function of x, these differences can be seen visually. For instance, consider the linear equation y = mx + b, where m represents the slope of the line and b is the y-intercept. If function A and B have different y-intercepts or slopes, the output values will differ for the same set of input values.
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PLEASE CAN SOMEONE HELP FAST BEG U
SIMULTANEOUS EQUATION
P/2 + Q/3 =6
P/3 + Q/3 =0
Answer:
{Q = -(3 P)/2, Q = -6 P}
Step-by
-step explanation:
plz help I need the answer plz
If the equation is
[tex] \frac 5 2 s = \frac 3 2 s + s[/tex]
that's true for all s, since 3/2+1=5/2
So all of them result in true statements
Answer: All of the above
Let's just do one for yuks, s=5.
(5/2) s = 25/2
(3/2)s + s = 15/2 + 5 = 15/2 + 10/2 = 25/2
That checks.
Ms. Carson's art class made a large rectangular mural. The length of the mural is 8 feet, and it's area is 56 square feet. What is the width of the mural?
Answer:
7
Step-by-step explanation:
all u do is divide the area by the length
56/8
You do 56/8 the answer is 7
Convert 13pi/18 to degrees
Answer:
130°
Step-by-step explanation:
to do this conversion, multiply 13π/18 by the conversion factor 180°/π rad:
13 · 180°
13π/18 · 180°/π rad = ------------- = 130°
18
Which of the values will NOT make 3x < 45 true?
12
11
16
-8 im being timed
Answer:
16
Step-by-step explanation:
3 times 16 is 48
hope this helps :)
Final answer:
The value that will not make the inequality 3x < 45 true is 16, as any value greater than or equal to 15 does not satisfy the inequality.
Explanation:
To determine which values will not make the inequality 3x < 45 true, we first solve the inequality for x by dividing both sides by 3.
Dividing 45 by 3 gives us:
45 / 3 = 15
So the inequality becomes:
< 15
Any value for x that is 15 or greater will not satisfy the inequality. Looking at the provided options (12, 11, 16, -8), the number 16 is the only value that is greater than 15, and hence, will not make the inequality true.
If x = 4, what is the value of the following expression?
12x + 9x - 2x
A.76
B.19
C.4
D.92
Answer:
Option A, 76
Step-by-step explanation:
Substitute x by 4 to the following expression :
12(4) + 9(4) - 2(4)
48 + 36 - 8
84 - 8
= 76
The function p(x) = 2(x-9)2 + 100 is used to determines the profit on T-shirts sold for x dollars. What would the profit from sales be if the proce of the T-shirts were $15 a piece?
Answer:
the profit will be $172
Step-by-step explanation:
The function given is:
p(x) = 2(x-9)^2 + 100
Where x is the price of the each shirt.
if each shirt is sold for $15, hen x = 15.
the profit will be:
p(15) = 2(15-9)^2 + 100
p(15) = 2(6)^2 + 100
p(15) = 2(36) + 100
p(15) = 72 + 100
p(15) = 172
So, the profit will be $172
Symmetry is an important component of photography. Photographers often use reflection in water to
create symmetry in photos. Which of the following types of symmetry are created from the above
photo? Select all that apply
a rotational
b horizontal
c vertical
d diagonal
e translational
Answer:
Horizontal
Explanation:
There are many types of symmetry presented at school time. Many of the symmetry we used during photo shop. The simple picture can be symmetrical by putting a mirror seeing an image in the mirror.
There has been seen half of the original image and half of the mirror reflection. It can be said that the original picture is symmetric with the help of the mirror. It is also called reflective symmetry.
The mirror symmetry also called a one-line symmetry. The horizontal line of symmetry cuts the picture in two left and right parts.
what is $630,000 divide by 24
$26,250. 630,000 ÷ 24 =26250
Answer: 630,000 / 24= 26250
If you were, for example, to divide $630,000 evenly between you and 24 of your coworkers, you'd each get $26,250.
Hope this helps,
LaciaMelodii :)
help me with this please
what do you mean 2<_ 10?
If x<_10,
a) 1,2,5,10
b) 4
c) 6
Answer:
see explanation
Step-by-step explanation:
Given x ∈ { 2, 3, 4, 5, 6, 7, 8, 9, 10 }
Factors of 10 are 1, 2, 5, 10, thus
P = { 2, 5, 10 } ← 1 is not a member of the universal set
and the number of elements in P , that is n(P) = 3
The complement of P is the elements not in P but in the universal set
P' = { 3, 4, 6,7,8,9 }
y varies inversely with x
k= 1.25
What is the value of y when x is 5?
Answer:
The value of y is 0.25
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
For x=5
Find the value of y
k=1.25
substitute in the equation
[tex]y=k/x[/tex] -----> [tex]y=1.25/5=0.25[/tex]
The IPhone 7 costs about $220 for Apple to make, but they cost about $700 in stores. What is the markup percentage of the IPhone 7? (Round to the nearest
Answer:
The markup percentage of the IPhone 7 is $218.18%.
Step-by-step explanation:
The IPhone 7 costs for Apple to make = $220
The cost in stores = $700
The difference between costing price and selling price = 700 -220 = $480
The markup percentage of the IPhone 7 = [tex]\frac{480}{220}[/tex] × 100
= $218.18
The markup percentage of the IPhone 7 is $218.18%.
The markup percentage of an iPhone 7 is calculated by finding the difference between the selling and cost price, dividing this by the cost price and then multiplying by 100. According to these steps, the markup percentage of the iPhone 7 is approximately 218%.
Explanation:The markup percentage indicates how much an item's price has increased from its original cost to make. It is calculated by finding the difference between the selling price and the cost to make, then dividing that by the cost to make, and then multiplying it by 100 to get the percentage.
To calculate the markup percentage of the iPhone 7:
Determine the difference between the selling price and the cost price. In this case, $700 (selling price) - $220 (cost price) = $480. Now divide the difference by the cost to make. $480 / $220 = 2.18. Finally, multiply by 100 to get the percentage. 2.18 * 100 = 218% (rounded to the nearest whole number).
Therefore, the markup percentage of the iPhone 7 is 218%.
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Godfrey is planning to make muffins for the community bake sale. He only has 1 3/4 cup of sugar. If one batch requires him to use 1/2 cup of sugar, how many batches can he make? Include partial batches (fractions) in your answer if there are any.
Answer:
3 1/2 Batches.
Step-by-step explanation:
1 3/4 (or 1.75) divided by 1/2 (or 0.5) equals 3.5
Find the graph of the inequality y>-1/6x+1
what we do is, we simply draw the graph for its EQUALITY counterpart, namely [tex]\bf y=-\cfrac{1}{6}x+1[/tex].
then we check the regions on both sides of the graph, in this case we can check say the point (0,0) for simplicity, and
[tex]\bf y>-\cfrac{1}{6}x+1\qquad (0,0)~~ \begin{cases} x=0\\ y=0 \end{cases}\implies 0>-\cfrac{1}{6}(0)+1\implies 0>1[/tex]
now, is 0 > 1? is 0 really greater than 1? nope, is smaller, thus the area where the point (0, 0) is at is the false region, so that's the area we do NOT shade, thus the other region must be the true region and that's the one we shade.
the ">" sign means, that "y" is greater than, NOT equals to but greater, thus the values at the borderline are not included, and thus is a dashed line.
Check the picture below.
reactant
→
product
If there are 4 grams of reactant, how many grams of product are produced by the chemical reaction?
Question 9 options:
0 grams
2 grams
4 grams
8 grams
Answer:
4 grams
Step-by-step explanation:
Mass is conserved, so if you start with 4 grams, you end with 4 grams.
What is the area of parallelogram ABCD?
Answer:
15
Step-by-step explanation:
12(x-2)+3x=1/2(x+6)+2
You can use photo math that helps to
Answer: x=2 you have to simplify both sides and isolate the variable
If m 1 = 90°, what is m ACB?
90
180
270
Answer:
270
Step-by-step explanation:
m q =90
so remaining angle for a circle is 270
Answer:
270
Step-by-step explanation:
ca is 180 since it is a straight line plus the 90 from section 1
Write V64 - V-289 as a complex number in the form of a + bi.
A.8+17i
B. 17 + 8i
C. 8-17i
D.-17 - 8i
The correct answer is C. 8 - 17i
What are complex numbers?Complex numbers are numbers that consist of two parts — a real number and an imaginary number.
How to write the given expression in the form of a +ib?
√64 - √-289
= 8 - √-289
= 8 - 17i ( since (17i)² gives -289)
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On a regular 6 sided number cube and a spinner with 3 equal sections labeled 1, 2 & 3, what is the probability of rolling a four and then spinning a 3?
On a number cube, rolling any number is a 1/6 probability ( 1 out of 6 numbers).
On the spinner the probability of getting 3 is 1/3 ( 1 out of 3 numbers).
The probability of getting both a 4 and then a 3 is 1/6 x 1/3 = 1/18
La figura muestra la matriz de un dado de 6 caras en cuyas caras opuestas estan numeros opuestos
Si se lanza el dado y se suman los valores de sus caras, sin incluir el valor de la cara oculta, ¿Qué sumas se pueden obtener?
Si se lanza el dado y se multiplican los valores de sus caras, sin incluir el valor de la cara que esta oculta ¿Que productos se obtienen?
Solve the quadratic equation by factoring 9x2+24+20=4
Answer:
Final answer is [tex]x=-\frac{4}{3}[/tex] and [tex]x=-\frac{4}{3}[/tex].
Step-by-step explanation:
Given equation is [tex]9x^2+24x+20=4[/tex].
Now we need to solve that by factoring.
[tex]9x^2+24x+20=4[/tex]
[tex]9x^2+24x+20-4=0[/tex]
[tex]9x^2+24x+16=0[/tex]
[tex]9x^2+12x+12x+16=0[/tex]
[tex]3x(3x+4)+4(3x+4)=0[/tex]
[tex](3x+4)(3x+4)=0[/tex]
[tex](3x+4)=0[/tex], [tex](3x+4)=0[/tex]
[tex]3x+4=0[/tex], [tex]3x+4=0[/tex]
[tex]3x=-4[/tex], [tex]3x=-4[/tex]
[tex]x=-\frac{4}{3}[/tex], [tex]x=-\frac{4}{3}[/tex]
Hence final answer is [tex]x=-\frac{4}{3}[/tex] and [tex]x=-\frac{4}{3}[/tex].
The output with the y being -4
For this case we have a function of the form [tex]y = f (x)[/tex], where [tex]f (x) = - 4x[/tex]. We must find the values of "and" according to the following function:[tex]y = -4x[/tex]
So:
[tex]f (-6) = - 4 (-6) = 24\\f (-2) = - 4 (-2) = 8\\f (3) = - 4 (3) = - 12[/tex]
Thus, the values are:
24,8, -12
Answer:
24,8, -12
1/2x= 3/(x+5)
What is the value of x that makes the statement true
Answer:
.5x = 3x + 15
-2.5 x = 15
x = -6
Step-by-step explanation:
What is the measure of the missing angle
The sum of the angles of any quadrilateral is 360 degrees. This means that you can make a formula like the one bellow and solve for x:
72 + 107 + x + 91 = 360
270 + x = 360
(270 - 270) + x = 360 - 270
x = 90
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
x = 90°
Step-by-step explanation:
Angles in a quadrilateral add up to 360°
We are given the following angles : 107°, 72° and 91°
Wee need to find x so,
x + 107° + 72° + 91° = 360°
( Simplify )
x + 270° = 360°
( Minus 270° from both sides to isolate x )
x = 90°