Answer:
2af+bf = 2af+bf
Step-by-step explanation
f(x) = 4x2 – 3x. = x(4x−3)
Please help! I’ll give brainliest to anybody who answers correctly!
Factor the expression
x^2 − 14x + 45 completely.
Answer:
(x+5) (x+9)
Step-by-step explanation:
In order to the trinomial
x
2
+
14
x
+
45
Begin by finding the factors for the first term
x
2
=
x
⋅
x
Place those factors as the first term in each parenthesis
(
x
_
)
(
x
_
)
Since both signs of the trinomial are positive you will be adding the factors and both signs will be positive.
(
x
+
_
)
(
x
+
_
)
Now determine the factors of the third term
45
=
1
⋅
45
,
3
⋅
15
,
5
⋅
9
We need the factors that will add up to the middle term
14
=
5
+
9
Place these factors as the second term in each of the parenthesis.
(
x
+
5
)
(
x
+
9
)
(x-5)(x-9) is the factored form of the expression x²-14x+45
The given expression is x²-14x+45
x is the variable in the expression
x square minus forteen times of x plus forty five
Plus and minus are operators in the expression
x²-9x-5x+45
Now let factor out the expression
x(x-9)-5(x-9)
(x-5)(x-9)
Hence, the factored form of the expression is (x-5)(x-9)
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5 ice cream cones cost $7.25. At this rate, how much do
3 ice cream cones cost? Plus what is the cost per ice cream cone
Answer:
i
Step-by-step explanation:
. 7.25 divided by 3 is 2.416666666 on the calulater. and the cost per cone is 1.45. so each cone is 1.45 per each and the cost per cone of 3 is 2.416666666 for the calulater. I hoped I helped if I didn't I'm sorry
The polynomial p(x)=x^3+7x^2-36p(x)=x 3 +7x 2 −36p, left parenthesis, x, right parenthesis, equals, x, cubed, plus, 7, x, squared, minus, 36 has a known factor of (x+3)(x+3)left parenthesis, x, plus, 3, right parenthesis. Rewrite p(x)p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p(x)=
Answer:
(x-2)(x+3)(x+6)
Step-by-step explanation:
Given the polynomial function p(x)=x^3+7x^2-36
We are to write it as a product of its linear factor
Assuming the value of x that will make the polynomial p(x) to be zero
Let x = 2
P(2) = 2³+7(2)²-36
P(2) = 8+7(4)-36
P(2) = 8+28-36
P(2) = 0
Since p(2) = 0 hence x-2 is one of the linear factors
Also assume x = -3
P(-3) = (-3)³+7(-3)²-36
P(-3) = -27+7(9)-36
P(-3) = -27+63-36
P(-3) = 36-36
P(-3) = 0
Since p(-3) = 0, hence x+3 is also a factor
The two linear pair are (x-2)(x+3)
(x-2)(x+3) = x²+3x-2x-6
(x-2)(x+3) = x²+x-6
To get the third linear function, we will divide x^3+7x^2-36 by x²+x-6 as shown in the attachment.
x^3+7x^2-36/x²+x-6 = x+6
Hence the third linear factor is x+6
x^3+7x^2-36 = (x-2)(x+3)(x+6)
Answer:
x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)
Step-by-step explanation:
Here we want to rewrite the polynomial
P(x) = x^3 + 7x^2 - 36
As a product of linear factors given that we have one of the roots already as (x + 3)
What we shall do here is to divide the polynomial by x + 3
Please check attachment for long polynomial division
From the division, the other factor is x^2 + 4x -12
So we can rewrite the polynomial as;
x^3 + 7x^2 -36 = (x + 3)(x^2 + 4x -12)
So let’s now write x^2 + 4x -12 as a product of its linear factors
x^2 + 4x -12 = x^2 + 6x -2x -12
= x(x + 6)-2(x + 6)
so we have;
(x -2)(x + 6)
Therefore;
x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)
Evaluate the expression for x=5, y=-3 and z=7 *
7 – 3y – 3z
Answer:
-5
Step-by-step explanation:
i tried my best but this is the result
Solve for x.
–2(x - 1) - x + 3 = -1
Anyone wanna help?
Answer:
-2(x-1) - x + 3 = -1
First if all, we operate the parenthesis knowing that [tex]a(b+c) = ab + ac[/tex]:
-2(x-1) - x + 3 = -1 ---->.-2x -2*(-1) - x + 3 = -1
Now, we operate:
.-2x -2*(-1) - x + 3 = -1 ----> -2x + 2 - x + 3 = -1
Now we operate another time to put all the x together and the independent terms too:
-2x + 2 - x + 3 = -1 ----> -3x + 5 = -1
We substract 5 at both sides to have only the x at one side:
-3x + 5 = -1 ----> -3x + 5 - 5 = -1 - 5 ----> -3x = -6
As both sides have a minus (-) we can eliminate it:
-3x = -6 ----> 3x = 6
We divide both sides by 3 to have only a x:
3x = 6 ----> 3x/3 = 6/3 ----> x = 2
Now, we know that x=2. We can also verify it by replacing it on the first equation:
-2(x-1) - x + 3 = -1 ---> -2(2-1) - 3 + 3 = -1 ---> -2(1) - 2 + 3 = -1 ---> -2 - 2 + 3 = -1
Now we know it's true, as we have replaced it and we got he answer.
Examine the diagram. It is not drawn to scale.
In the diagram shown, mZ1 = 30° and m25 = 120°.
What is the sum of the measures of 24, 25, and 26?
4
1
2
5
on
degrees
Identify the following angle measures.
m22= v degrees
m24 =
v degrees
3
3
m26 =
v degrees
6
Answer:
Examine the diagram. It is not drawn to scale.
A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6.
In the diagram shown, m∠1 = 30° and m∠5 = 120°.
What is the sum of the measures of ∠4, ∠5, and ∠6?
✔ 360
degrees
Identify the following angle measures.
m∠2 =
✔ 60
degrees
m∠4 =
✔ 150
degrees
m∠6 =
✔ 90
degrees
Step-by-step explanation:
Examine the diagram. It is not drawn to scale.
In the diagram shown, mZ1 = 30° and m25 = 120°.
What is the sum of the measures of 24, 25, and 26?
4
1
2
5
on
degrees
Identify the following angle measures.
m22= v degrees
m24 =
v degrees
3
3
m26 =
v degrees
6
I HOPE YOU GET IT RIGHT IK ITS THE ANSWERS I ALWAYS DO IT!!!!!!❤
The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.
What is an angle?An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.
From the diagram:
m∠1 + m∠4 = 180° (sum of angles in a straight line)
30 + m∠4 = 180°
m∠4 = 150°
m∠2 + m∠5 = 180° (sum of angles in a straight line)
120 + m∠2 = 180°
m∠2 = 60°
m∠1 + m∠2 + m∠3 = 180° (sum of angles in a triangle)
30 + 60 + m∠3 = 180°
m∠3 = 90
m∠3 + m∠6 = 180° (sum of angles in a straight line)
90 + m∠6 = 180°
m∠6 = 90°
The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.
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Plz help me
Find the rational approximation of square root 7 to the nearest tenth.
Answer:
2.6
Step-by-step explanation:
Evaluate the function for x = 3 * f(x) = x2 – 2x + 6 O x=9 O x = 6 O x=21 O x = 4
Answer:
When you input values for x, you can determine a single output for y. ... f(x)= 4x + 1 is written in function notation and is read “f of x equals 4x plus 1. ... perimeter, P = 4s, as the function p(x) = 4x, and the formula for area, A = x2, as a(x) = x2. ... in both cases, you substitute 2 for x, multiply it by 4 and add 1, simplifying to get 9
Step-by-step explanation:
got it off of google
Find the vertex and the axis of symmetry of the graph of y=-6(x+4)^2 – 3.
Answer:
vertex = (- 4, - 3 ), equation is x = - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 6(x + 4)² - 3 ← is in vertex form
with (h, k ) = (- 4, 3 ) ← vertex
The equation of the axis of symmetry is a vertical line passing through the vertex, with equation
x = - 4
A local clothing store sells t-shirts for $8 each, sweaters for $12 each, jeans for $15 each. Let x represent the number of t-shirts sold, y represents the number of sweaters sold, and z represent the number of jeans sold. Write an expression to represent the total amount of sales from t-shirts, sweaters, and jeans
Answer:
8x + 12y + 15z
Step-by-step explanation:
Given the sales rate of three items: 8$ for t-shirts, 12$ for sweaters, and 15$ for jeans. It also states that these rates are represented by the corresponding variables being x for t-shirts, y for sweaters, and z for jeans.
To complete the expression, just combine the rate with the corresponding variables. i.e 8$ for t-shirts, and x for shirts = 8x, 12$ for sweaters and y for sweaters = 12y, 15$ for jeans, and z for jeans = 15z. Finally, sum them together.
8x + 12y + 15z
i need help with this geometry
(5x10₃) x (9x10₇)
answered in standard form
Answer:
5x9x10^10
Step-by-step explanation:
your question is incomplete
1.(02.01)
Solve -4(x + 1) – 3 = -3(x – 4). (1 point)
O
-19
19
2.
Answer:
x = -19
Step-by-step explanation:
hope this help :)
Answer:
[tex]\boxed {x = -19}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]-4(x + 1) - 3 = -3(x - 4)[/tex]
-Use Distributive Property to both sides of the equation:
[tex]-4(x + 1) - 3 = -3(x - 4)[/tex]
[tex]-4x - 4 - 3 = -3x + 12[/tex]
-Combine like terms:
[tex]-4x - 4 - 3 = -3x + 12[/tex]
[tex]-4x - 7 = -3x + 12[/tex]
-Take [tex]-3x[/tex] and add it to [tex]-4x[/tex]:
[tex]-4x - 7 + 3x = -3x + 3x + 12[/tex]
[tex]-x - 7 = 12[/tex]
-Add both sides by [tex]7[/tex]:
[tex]-x - 7 + 7 = 12 + 7[/tex]
[tex]-x = 19[/tex]
-To make the variable [tex]x[/tex] positive, divide both sides by [tex]-1[/tex]:
[tex]\frac{-x}{-1} = \frac{19}{-1}[/tex]
[tex]\boxed {x = -19}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]-19[/tex].
Find the distance between the pair of points, round to the nearest tenth if necessary.
Step-by-step explanation:
distance between the two points is given by formula
d=
[tex] \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } = \sqrt{( - 2 - 4)^{2} + {( - 3 - 0)}^{2} } = \sqrt{( - 6)^{2} + ( - 3)^{2} } = \sqrt{36 + 9} = \sqrt{45} = \sqrt{9 \times 5} = 3 \sqrt{5} [/tex]
NEED HELP!! ILL MARK YOURE ANSWER BRAINLIST.
1) In 2005 the number of seniors at Falcon decreased by 63 students over the 9 month school year. If the decrease was the same over the entire 9 months, write the monthly decrease as a quotient of integers and find the monthly decrease. please show you're work.
Answer
9
Step-by-step explanation:
Divide 63 by 9 months
7 students per month
63 / 9 = 7
HELP!! please explain how you got the answer too.
Determine whether cach point lies on the graph of the line y = 4.6x -7.
H(0, -7)
Answer:
Point H does lie on the graph y = 4.6x - 7
Step-by-step explanation:
Step 1: Define
y = 4.6x - 7
H(0, -7)
Step 2: Substitute, Evaluate, and Check
-7 = 4.6(0) - 7
-7 = 0 - 7
-7 = -7
Answer:
H(0,-7) does lie on the graph of line y = 4.6x - 7
Step-by-step explanation:
All you have to do is simply plug in the x and y values.
From the point H (0,-7) we can say that
x = 0
y = -7
Now just plug it into the equation.
y = 4.6x - 7
(-7) = 4.6(0) - 7
-7 = -7
Since -7 does equal -7, the point H is on the line of y = 4.6x - 7.
Find the value of x so that the function has the given value
f(3) = 3x + 2
f(3) = 8
x=
Answer:
f(3) =3(2)+2
Step-by-step explanation:
Therefore, x = 2
Which expressions are equivalent to 9+h+ (j+k)? Check all that apply.
9+(n+}) +
(9+1) +jk
(9+h) +j+k
9+(hj)+k
gh+jk
g(h+)
9+h[j+k)
Answer:According to the associative property of equality: (a + b) + c = a + (b + c) we can see that the parenthesis do not mean anything when we are only doing addition.
So answers 1. and 3. are correct
Answer:
1,3
Step-by-step explanation:
Is this equation an example of a literal equation? Why?
Answer:
yes this is...,.,.,.....
0.72...0.702 put < or > between the numbers in each pair
Answer:
0.72>0.702
Step-by-step explanation:
Find the distance from P(6,-9) to the origin.
Please helppp
Answer:
10 units
Step-by-step explanation:
Distance from P(6, -9) to O ( 0, 0 ) PO
Let
X1 = 6 X2 = 0
Y1 = -9 Y2 = 0
Formula of Distance
[tex]\sqrt{(x2 - x 1) + (y2 - y1)}[/tex]
[tex]\sqrt{6^{2} +(-9^{2}) }[/tex]
[tex]\sqrt{100}[/tex]
10 units
Costumers can pick their own blueberries at Blueberry Hill. They pay $5 to enter the patch and $4 per pound for the blueberries they pick. Write an equation to model the total cost, y, fo x pounds of blueberries.
Answer:
c. y = 4x + 5
Step-by-step explanation:
you are paying a one time fee of $5 to get in and $4per x number of pounds.
Answer:
B
Step-by-step explanation:
Firstly you pay 4 dollars to enter BH
If x is the number of pounds of blueberries, then the amount spent is going to be 5x as each pound is 5 dollars. Then you add the costs together, so it would be 5x+4 which is B
HELP pleaseee i’m beggingggg
Answer:
35 1/3°54 2/3°Step-by-step explanation:
Angle AOB and BOC create a complementary angle. This means when two angles sum up to 90°. We can write an equation for this problem;
(x + 8) + 2x = 90
~Remove parenthesis
x + 8 + 2x = 90
~Combine like terms
3x + 8 = 90
~Subtract 8 to both sides
3x = 82
~Divide 3 to both sides
x = 82/3 or x = 27 1/3
Use what have for x to solve for the angle measures.
Angle AOB:
x + 8
(27 1/3) + 8
35 1/3°
Angle BOC:
2x
2(27 1/3)
54 2/3°
Check.
35 1/3 + 54 2/3 = 90°
Best of Luck!
Plz help me I’ll give brainliest!!
Answer:
k = 1
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (4, 1 )
with k = 1
Ryan shaded 70 squares on his hundredths grid. Sarah shaded 80 squares on her hundredths grid Part A Which value is greater than Ryan's decimal and less than Sarah's decimal A.70/100+4/100 B. 60/100+5/100 C. 80/100 D. 80/100+15/100
Answer:
A
Step-by-step explanation:
Here, we want to select which of the options is greater than Ryan’s decimal but less than Sarah’s
Ryan shades 70 out of 100 so his decimal will be 70/100 = 0.7
Sarah shades 80 out of 100, so his decimal will be 80/100 = 0.8
So we want a decimal greater than Ryan’s but less than Sarah’s
Let’s take a look at the options
The first option would be 70/100 = 0.7 + 4/100 = 0.7 + 0.04 = 0.74
We can see that this is greater than 0.7 but less than 0.8
So, this is our answer
=-09i8u9yh8guvyh bcnvjhulygtfrdsezawDFxcghjiuhygtfyhvbjkliouyggvbjhkio;uytfrderswaqwszedrtfyguhiiio
A pack of 8 pairs costs 9:80. What is the cost of one pair of socks?
Answer:
1 1/2
Step-by-step explanation:
Answer:
$1.26
Step-by-step explanation:
9.80/8 = 1.22500
1.22500 rounded up = 1.26
Fill in the blanks by creating the line perpendicular to y=1/3x-3 that goes through (-1, -4) in slope intercept form.
Answer:
y = -3x - 7
Step-by-step explanation:
To find the slope of this perpendicular line, you'll have to keep in mind that a perpendicular line will have an opposite reciprocal of the slope of the line you are given. Here's what I mean:
Given Line: y = 1/3x - 3
Slope of Perpendicular Line: m = -3/1 = -3
Now, you'll have to find the y-intercept. But, to make sure your line passes through the given points, (-1, -4), you'll have to plug in the x and y values:
y = mx + b
-4 = (-3) (-1) + b
-4 = 3 + b
b = -7
Now just plug in your y-intercept and slope into the slope-intercept formula:
y = -3x - 7
1/3 multiplied by 1 1/2
Answer:
0.5
Step-by-step explanation:
What’s 5 divided by 6.2
Answer:
8
Step-by-step explanation:
Because you need to round 0.8064516129 to the nearest tenth