Step-by-step explanation: If you're asked to solve a quadratic equation by the method of your choice, you should always check to see if the quadratic factors before you try any other method.
In this case, we have a trinomial that
factors as the product of two binomials.
In the first position for each binomial, we will use
our factors of 6x² which are either 6x · x or 3x · 2x.
It's a good idea to try less extreme extreme factors.
That means choose factors a little closer together.
So 3x and 2x would be first on our list.
We do the same for the factors of -35.
Since our constant term is negative, it will factor
as the product of a positive times a negative.
So the factors of -35 are +7 · -5, -5 · +7, -7 · +5, +5 · -7.
Remember to reverse the order of the
factors is your lead coefficient is not 1.
The factors that work in this case are -5 and +7.
So we have (3x - 5)(2x + 7).
To check, take the product of the outer terms and inner terms.
So we have -21x + 10x which is our middle term.
Now set it equal to 0.
So we have (3x - 5)(2x + 7) = 0.
Now use the zero product property.
So either 3x - 5 = 0 or 2x + 7 = 0.
Solving each equation from here, we have x = 5/3 or x = -7/2.
36 is 0.9% of what number
(not urgent
Answer: 4000
Step-by-step explanation:
If for example 5 is 1% of what number, you would multiply that by 100/1 and multiply that by 5.
For 36 is 0.9% of what number, you would multiply the 36 by 100/0.9 and multiply that by 36.
100/0.9 is 111.11 and 111.11 x 36 is 4000, so 4000 would be your answer.
Determine the value of x in each diagram
answer is 45 ( x = 45 ) yes or no
What operation should be done first to solve 5x + 3 = 28?
Multiply by 5
Add 3
Subtract 3
Divide by 5
Answer:
Subtract 3
Step-by-step explanation:
The first operation that should be done first in the expression 5x + 3 = 28 is subtracting 3 from both sides.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, 5x + 3 = 28.
The first operation that should be done first is subtracting 3 to both the side of the equation to separate the variable x and the constant term.
∴ 5x + 3 - 3 = 28 - 3.
5x = 25.
x = 5.
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The distance around a triangle is 30 centimeters. if two sides are equal and the length of the third side is 8 centimeters, what is the length of each of the other two sides?
Answer: 11 cm
Step-by-step explanation:
Polygon ABCDE is reflected across the line x = −2. Graph and label the image A’B’C’D’E’. Is m∠A = m∠A’? Explain. Construct the line of reflection and then construct the image. Select a point to add a label.
Answer: See graph and proof below
Step-by-step explanation:
Under the reflection about the line x=-2
[tex]\begin{aligned}&A(-4,4) \longrightarrow A^{\prime}(0,4) \\&B(-3,3) \longrightarrow B^{\prime}(-1,3) \\&C(-3,2) \longrightarrow C^{\prime}(-1,2) \\&D(-5,1) \longrightarrow D^{\prime}(1,1) \\&E(-5,3) \longrightarrow E^{\prime}(1,3) \\&m < A=m < A^{\prime} \text { is true. }\end{aligned}[/tex]
A lake has a 30-km long shoreline. 6% of it is sandy beach. What percentage of the shoreline is not sandy beach?
Find the length (in km) of the shoreline that is sandy beach
Answer:
94% not sandy beach
1.8km is sandy beach
Step-by-step explanation:
30 = 100%
÷ 100 both sides
0.3 = 1%
× 6 both sides
1.8 = 6%
What is the square root of -1?
Answer:
i
I hope this helps!
What value for a would make the equation true? Type in only the numerical answer or value.
Answer:
a = 3
Step-by-step explanation:
Here you can use the cross multiplication strategy or whatever it's called. That's where you multiply the diagonals together. Its kinda long to explain, but you can google it for details.
In either case, you get the following equation:
8(2a-1) = 4(a+7)
Open the parenthesis
16a - 8 = 4a + 28
Subtract 4a from both sides
12a - 8 = 28
Add 8 to both sides
12a = 36
Divide both sides by 12
a = 3
Sorry for weird formatting I'm on an ipad.
Answer:
Your answer is: A = 3
Solve for a by cross multiplying.
Step-by-step explanation:
Hope this helped : )
What is the volume of a rectangular prism with a length of 1. 4 meters, a width of 0. 5 meter, and a height of 1. 8 meters? 7. 52 m³ 3. 7 m³ 2. 02 m³ 1. 26 m³.
The volume of the rectangular prism will be [tex]V=1.26m^{3}[/tex]
What will be the volume of the rectangular prism ?Given that
[tex]\rm Lenth \ of \ the \ rectangular \ prism =1.4\ m[/tex]
[tex]\rm width\ of \ prism=0.5\ m[/tex]
[tex]\rm Height \ of \ prism=1.8\ m[/tex]
[tex]\rm Volume \ of \ the \ Rectangular \ Prism= L\times W\times H[/tex]
[tex]V=1.4\times 0.5\times1.8=1.26 \ m^{3}[/tex]
Thus the volume of the rectangular prism will be [tex]V=1.26m^{3}[/tex]
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You are given a triangle that has sides 5 7 ad 10 how large is the smallest angle of the triangle
Answer:
Step-by-step explanation:
Comment
This uses the cosine Law for line length.
Formula
a^2 = b^2 + c^2 - 2*b*c*sin(A)
Givens
a = 5
b = 7
c = 10
Solution
5^2 = 7^2 + 10^2 - 2*7*10*cos(A)
25 = 49 + 100 - 140*cos(A) Combine the right side
25 = 149 - 140 * cos(A) Subtract 149 from both sides
25 - 149 = - 140*cos(A)
-124 = -140 * cos(A) Divide both sides by -140
-124/-140 = cos(A)
Cos(A) = 0.8857 Take the inverse Cos of both sides
A = cos-1(0.8857)
Answer
A = 27.66 degrees
Tangle ABC is dilated to create triangle ABC using
point as the center of cilation
What is the scale factor of the dilation?
9
3
B
Answer:
scale factor = 4
Step-by-step explanation:
The scale factor is the ratio of OA' to OA , that is
scale factor = [tex]\frac{OA'}{OA}[/tex] = [tex]\frac{3+9}{3}[/tex] = [tex]\frac{12}{3}[/tex] = 4
all sets that pi belong to
Answer:
irrational numbers
pi belongs to the set of irrational numbers
Colleen compared the ratios 3:8 and One-half. Her work is shown below. Write the ratios as fractions: Three-eighths and One-half The common denominator is 8. Write each fraction using the common denominator: Three-eighths and One-eighth Compare the numerators: 3 > 1 Write the correct statement: Three-eighths > One-half Where did Colleen make her first mistake?
This question is Incomplete
Complete Question
Colleen compared the ratios 3:8 and 1/2.
Her work is shown below.
Write the ratios as fractions: 3/8 and 1/8 Compare the numerators: 3 > 1 Write the correct statement: 3/8 > 1/2
Where did Colleen make her first mistake?
A. The common denominator should be 4 rather than 8
B. The numerators are compared incorrectly.
C. The fraction 1/2 should have been rewritten as 6/8
D. The fraction 1/2 should have been rewritten as 4/8.
Answer:
D. The fraction 1/2 should have been rewritten as 4/8.
Step-by-step explanation:
Colleen compared the ratios 3:8 and 1/2.
Step 1
Write the ratios as fractions: 3/8 and 1/2
Step 2
Compare the numerators: 3 > 1
Step 3
Compare the denominators 8 >2
Write the correct statement:
3/8 > 4/8
Therefore, D. The fraction 1/2 should have been rewritten as 4/8.
An endowment fund is set up with a donation of $110,000. If it earns 4.1% compounded monthly, fir how long will it sustain end of month withdrawals of $1300? Endowment for ________ years(s) and ________ months(s)
Sharon asks Alana to describe her goals and current spending habits. Does Alana respond in the following way?
Answer:
Step-by-step explanation:
Which ways?
(2, 4); perpendicular to y=1/2x+1
Step-by-step explanation:
use the respective formula and solve according to the image
How does a 180-degree rotation about the origin change the coordinates of a shape?
Step-by-step explanation:
The Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). ...I think.. Hope it is right...;3
Answer:
180 Degree Rotation
When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y).
Step-by-step explanation:
Describe the shape of the data set (symmetrical, skewed, etc.) (statistic)
Answer:
Skewed left
Step-by-step explanation:
The outlier extends the curve making it skewed left is what i think
Select all the correct answers.
martha works at a small jewelry store. she designs 2 rings in the first hour. every additional hour, she designs 3 new rings.
select all the functions that can be used to find the number of rings, r(n), she designs in n hours.
Answer:
26
Step-by-step explanation:
If n means 9 then 26 is the correct answer because 9hr. - 1hr. = 8hr. x 3 = 24 rings + 2 rings = 26.
Anyone know how to do??
Answer:
x = 1
Step-by-step explanation:
...................
Answer:
1
Step-by-step explanation:
Step 1:
3x + 11 = 5x + 9 Sum of a line
Step 2:
11 = 2x + 9 Subtract 3x on both sides
Step 3:
2 = 2x Subtract 9 on both sides
Answer:
x = 1 Divide
Hope This Helps :)
help me pls pls pls pls pls pls pls
In the top row, first column the answer is D) Ray RQ and Ray RS. Opposite rays point in complete opposite directions. When joined, opposite rays form a line.
-----------
In the top row, second column, the answer is B) S, T, U. We're naming three points that all fall on the same line.
===============================================
In the bottom row, first column, the answer is A) Point. An example of this is the diagram in the bottom right corner. The lines WV and XZ intersect at the point Y.
-----------
Finally, in the bottom row, second column, the answer is D) Ray YW and Ray YV. Like with the first problem, we're listing two rays that when joined, form a straight line. They point in complete opposite directions. The order matters when it comes to naming a ray. The first letter tells us the endpoint and the second letter tells us where the ray points and goes on forever.
Can someone help me with this?
it's C since it also has 4 elements
On average, what percentage of infants born to 45-year-old mothers have Down syndrome? 1% 3% 8% 10% 30%
Well knowing that around
at age 40 giving birth to a child with down syndrome is about 46% or 47%
but at age 45 I'm pretty sure it's 3%
Hope this helps!
The sum of two numbers is 65 and the difference of those two numbers is -18
Answer:
41.5
23.5
Step-by-step explanation:
Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is -18. In other words, x minus y equals -18 and can be written as equation B:
x - y = -18
Now solve equation B for x to get the revised equation B:
x = -18 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
-18+y+y=65
-18 + 2y = 65
2y = 83
y = 41.5
Now we know y is 41.5. Which means that we can substitute y for 41.5 in equation A and solve for x:
x + y = 65
x + 41.5= 65
X = 23.5
DIfference : 23.5 - 41.5 = 18
Sum: 41.5 +23.5 = 65
Hence, The two number are 23.5 and 41.5
[RevyBreeze]
What is the slope of a line perpendicular to the line whose equation is 4x – y = 9
Answer:
- [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
4x - y = 9 ( subtract 4x from both sides )
- y = - 4x + 9 ( multiply through by - 1 )
y = 4x - 9 ← in slope- intercept form
with slope m = 4
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]
What is the area of the figure below?
Answer:
Your answer is 27
Step-by-step explanation:
4 x 3 = 12
5 x 3 = 15
12 + 15 = 27
makayla has 90 minutes to answer 36 questions on a school survey. how many mins per question does she have
Answer:
2.5 minutes per question
Step-by-step explanation:
90 mins/ 36 questions equals 2.5 mins per question
What is the PERIMETER of a square with side length 3 cm?
Answer:
12
Step-by-step explanation:
Perimeter is using addition and if its a square, all of the sides are the same.
If one side = 3 cm, then 3cm + 3cm + 3cm + 3cm=12 cm
Answer:
12
Step-by-step explanation:
A square with 3cm long side
Area = 2 sides multiplied
Perimeter = All sides added
3 + 3 + 3 + 3 = 12cm
or
3 × 4 = 12cm
Need help please will mark the right answer
Answer:
its the second one
Step-by-step explanation:
Can you find the missing polynomial side length and type the correct code? Please remember to type in ALL CAPS with no spaces. 1: ? 2x2 + 8x - 10 3(x - 1) 2(x + 5) answer choices 2: A: B: C: X-3 X + 5 X-1 D: E: F: 3x2 + 15x - 18|||x + 1 x + 3x + 6 H: I: 3: x + 2x - 6x-5 4: Type the 4- 2x2 - 8x - 10 letter code into the answer 2(x + 1) box. All CAPS, no spaces. Puzzle-#2
The side lengths that make the area of rectangles as modelled are -
{ 1 } - (x + 2)
{ 2 } - (x - 5)
{ 3 } - (x + 3)
{ 4 } - (x - 1)
What is function?A function is a elation between a dependent and independent variable.
Given is to identify the correct side lengths of the figures.
We can write the side lengths as -
{ 1 } - (x + 2)
{ 2 } - (x - 5)
{ 3 } - (x + 3)
{ 4 } - (x - 1)
Therefore, the side lengths that make the area of rectangles as modelled are -
{ 1 } - (x + 2)
{ 2 } - (x - 5)
{ 3 } - (x + 3)
{ 4 } - (x - 1)
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