Answer:
6y^2+43
Step-by-step explanation:
6y^2+(19+15)
Answer:
(2y+3)(3y+5)
Step-by-step explanation:
6y^2+19y+15
Factor the expression by grouping. First, the expression needs to be rewritten as 6y^2+ay+by+15. To find a and b, set up a system to be solved.
a+b=19
ab=6×15=90
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 90.
1,90
2,45
3,30
5,18
6,15
9,10
Calculate the sum for each pair.
1+90=91
2+45=47
3+30=33
5+18=23
6+15=21
9+10=19
The solution is the pair that gives sum 19.
a=9
b=10
Rewrite 6y^2+19y+15 as (6y^2+9y)+(10y+15).
(6y^2+9y)+(10y+15)
Factor out 3y in the first and 5 in the second group.
3y(2y+3)+5(2y+3)
Factor out common term 2y+3 by using distributive property.
(2y+3)(3y+5)
Clayton needs to reflect the triangle below across the line y = x.
On a coordinate plane, triangle A B C has points (5.5, 7), (6, 2), (4, 4).
Which statements about the reflection are true? Check all that apply.
Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.
Clayton could negate both the x and y values in the points to find the points of the image.
C’ will remain in the same location as C because it is on the line of reflection.
C’ will move because all points move in a reflection.
The image and the pre-image will be congruent triangles.
The image and pre-image will not have the same orientation because reflections flip figures.
Answer:
A. Clayton could use the relationship (x,y)\rightarrow (y,x)(x,y)→(y,x) to find the points of the image.
C. C’ will remain in the same location as C because it is on the line of reflection.
D. The image and the pre-image will be congruent triangles.
Step-by-step explanation:
A. Clayton could use the relationship (x,y)\rightarrow (y,x)(x,y)→(y,x) to find the points of the image.
This option is TRUE. When we reflect a shape in the line y=xy=x , we just have to swap the x and y coordinates.
B. .Clayton could negate both the x and y values in the points to find the points of the image.
False; This is a rotation of 180\degree180° about the origin.
C. C’ will remain in the same location as C because it is on the line of reflection.
This statement is True
C’ will move because all points move in a reflection.
This statement is false because,C(2,2) and C'(2,2) will have the same coordinate.
D. The image and the pre-image will be congruent triangles.
This is TRUE because reflection is a shape preserving transformation(rigid motion).
E. The image and pre-image will not have the same orientation because reflections flip figures.
This is False
Hope this helps :)
Answer:
a,c,e,f
Step-by-step explanation:
Fred's recipe for a smoothie called for 1/3 of an apple, 1/4 of a lemon, and 2/3 of peach to make a single smoothie. A family of 6 arrives and they all want that smoothie.
Answer:
Recipe for 6 smoothies:
2 apples
3/2 of a lemon
4 peaches
Step-by-step explanation:
Recipe for 1 smoothie:
1/3 of an apple
1/4 of a lemon
2/3 of peach
A family of 6 arrives and they all want that smoothie.
Multiply every recipe for 1 smoothie by 6
Recipe for 6 smoothies:
6 × 1/3 of an apple
= 6/3 = 2 apples
6 × 1/4 of a lemon
= 6/4 = 3/2 of a lemon
6 × 2/3 of peach
= 12/3 = 4 peaches
Recipe for 6 smoothies:
2 apples
3/2 of a lemon
4 peaches
Half the number of guesses are
less than what number?
Answer:
C. 74
Step-by-step explanation:
add up all the numbers but not the value so you have 18 numbers. divide that by 2 and get 9. so 74 is between 73 and 78 so it divides the 18 numbers evenly into 9 and 9.
Two different functions are shown below.
1st function:
2nd function: y=3x
Which of the following statements is true?
Both functions have a positive slope
Both functions have a negative slope
Both Functions Are Proportional
Answer:
I think it's C if not D, but more likely C. Hope this helps, sorry if it doesn't.
Step-by-step explanation:
help quick pls im on a test!!!
what kind of function is f(x)=|x+2|
a. linear
b. quadratic
c. absolute value
d. exponential
Lacey pays $15 for each hour of golf lessons and $10 for equipment rental. Is the total cost of Lacey's lesson a function of the number of hours scheduled? Fill in the table with the correct outputs.
Answer:
60
Step-by-step explanation:
15x3=45
5x3=15
15+45=60
-3.4 + 11. 25=
Please help i'm horrible at math
Answer:
7.85
Step-by-step explanation:
You just put it in a calculator
Given the function
g(x)=−3x−2
evaluate
g(−1)
Answer:
1
Step-by-step explanation:
Substitute x with (-1),
(-3) x (-1) = 3
3 - 2 = 1
Have a great day <3 (I'm happy)
An engineering student is drilling two holes
and needs to measure the distance
between them. The student measures the
distance as 3.457 inches. The student's
teacher measures the distance as 2.387
inches. What is the difference between their
measurements?
5811 inches
Write the standard equation of a circle with center (-2, -1) and radius 2.
Answer:
(x+2)^2+(y+1)^2=4
Step-by-step explanation:
(x-h)^2+(y-k)^2=r^2 is the standard equation for a circle
Plug in point at (h,k) Negative points= positive in equation due to (x-h),(y-k) All equal to radius squared
what is the value of 6^3
Answer:
[tex]6 \times 6 \times 6 = 216 \\ = 216[/tex]
Answer:
216 Value
6 times 6 times 6 =216
Express the polynomial as a product of linear factors.
f(x) = 2x2 + 4x2 - 2x - 4
O A. (x-2)(x + 1)(x - 1)
O B. (x-2)(x-2)(x-1)
O c. 2(x + 2)(x + 1)(x-1)
O D. (x-4)(x + 1)(x-1)
The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)
We have,
To express the polynomial f(x) = 2x³ + 4x² - 2x - 4 as a product of linear factors, we can use a technique called factorization by grouping.
First, let's group the first two terms and the last two terms together:
f(x) = (2x³ + 4x²) + (-2x - 4)
Factor out the greatest common factor from each group:
f(x) = 2x²(x + 2) - 2(x + 2)
Notice that we now have a common factor of (x + 2) in both terms.
We can factor it out:
f(x) = (x + 2)(2x² - 2)
Now we can factor the quadratic expression 2x^2 - 2 by factoring out the greatest common factor of 2:
f(x) = (x + 2)2(x² - 1)
Now we can factor the expression x² - 1 as the difference of squares:
f(x) = (x + 2)2(x - 1)(x + 1)
Therefore,
The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)
Learn more about polynomials here:
https://brainly.com/question/20121808
#SPJ7
Laura borrowed $44,000 at 13% for 2 years. what was the total interest?
Answer:
13% of 44,000
Do the math then you’ll get the answer :)
Answer:
$12,183.60
Step-by-step explanation:
(I am assuming this is monthly interest and not continuous interest)
$44,000(1.13)² = $44,000(1.2769) = $56,183.60 - $44,000 = $12,183.60
The graph of linear function f passes through the point (1, -8) and has a slope of 2. What is the zero of f?
The linear function is given by f(x) = 2x - 10 with a zero of -10(y intercept.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope and b is the y intercept.
The line passes through the point (1, -8) and has a slope of 2. Hence:
y - (-8) = 2(x - 1)
y = 2x - 10
f(x) = 2x - 10
f(0) = 2(0) - 10 = -10
The linear function is given by f(x) = 2x - 10 with a zero of -10(y intercept.
Find out more on Linear equation at: https://brainly.com/question/13763238
Solve the following equation by completing the square
2x^2+4x=16
Answer:
x=2,-4
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:(-6.5,-5)
Step-by-step explanation:
P = (3A +1B)/(3+1)
P = (3(-7, -9) +(-5, 7))/4 = (-21-5, -27+7)/4 = (-6.5, -5)
HELP PLSSS
What is the area of the figure?
Answer:
the correct answer is 126 sq. cm
Step-by-step explanation:
Area of square= side = 6cm
Area = s*s = 6*6 = 36sq. cm
Area of rectangle: length = 12cm and breadth = 6cm
Area of rectangle = length * breadth = 12 * 6 = 72sq. cm
Area of triangle: height = 6cm and base = 6cm
Area of triangle = 1/2 * base * height = 1/2 * 6 * 6 = 3* 6 = 18sq. cm
Total area of the given figure = Area of square + Area of rectangle + Area of triangle
= 36 + 72 + 18 = 126sq. cm
5. The graph of a function is a line that
passes through the coordinates (2, 11)
and (8, 14).
Write an equation in the form
y = mx + b for this function.
Answer:
y = 1/2x + 10
Step-by-step explanation:
(y-11)/(14-11) = (x-2)/(8-2)
(y-11)/3 = (x-2)/6
2y-22 = x-2
2y = x + 20
y = 1/2x + 10
Let m = slope of the line.
m = (14 - 11)/(8 - 2)
m = 3/6
m = 1/2
We now have the slope and the slope is 1/2.
We plug the slope and one of the point into the point-slope formula.
Here is the point-slope formula:
y - y_1 = m(x - x/_1)
I will use the point (2, 11).
y - 11 = (1/2)(x - 2)
y - 11 = (1/2)x - 1
Now we solve for y by adding 11 to both sides of the equation.
y = (1/2)x - 1 + 11
Answer: y = (1/2)x + 10
Sam is baking 10 pies for a school bake sale. He uses 21 cups of apples for 6 pies. How many cups of apples will he need to make the 10 pies?
Answer:
35
Step-by-step explanation:
6 pies = 21 cups of apples
1 pie = 3.5 cups of apples
10 pies = 35 cups of apples
Which layer of the Earth is the thickest?
a. crust
b. mantle
c. outer core
d. inner core
I will mark you the brainiest if you answer the question! <3
Answer:
The mantle
Step-by-step explanation:
The Earth can be divided into four main layers: the solid crust on the outside, the mantle, the outer core and the inner core. Out of them, the mantle is the thickest layer, while the crust is the thinnest layer
Solve for X two questions
Answer:
Number 7 is 48
I think number 5 is 49 I'm not for sure about this one.
Step-by-step explanation:
Number 7:
Since it's a 90 degree angle, you just add 19 + 23 which gives you 42. Subtract 42 from 90 and it gives you 48, the value of the variable.
Number 5:
Now I'm not for sure about this one because of the number 12 pointing to the connecting point. So, I'd rather not say how I did this one before I get you confused when you learn about this in the future.
Two small bubbles that each have a radius of 3
centimeters collide and merge into one large bubble. The area of
the large bubble is equal to the sum of the areas of the two small
bubbles. To the nearest centimeter, what is the radius of the large
bubble?
Use 3.14 for Pi
find area of 1 small bub
πr² = 3.14 × 3²
= 28.26 cm
area of 2 small bub
28.26 × 2 = 56.52 cm
area of big bub = area of 2 small bub
= 56.52
find radius by using formula
πr² = 56.52
r² = 56.52 ÷ 3.14
r² = 18
r = √18
r = 4.24 cm
round off to nearest cm
4.24 ≈ 4 cm
143 everyone please everyone answers this
Solve for x:
4.5x = 56.25
1. x = 60.75
2. x = 12.5
3. x = 253.125
Answer:
2. x = 12.5
Step-by-step explanation:
x=56.25÷4.5=12.5
who's seen Haikyuu? Who's your favorite?
Mine: Kozume Kenma
Answer: I also like kenma, also like shoyo
Step-by-step explanation:
Btw great question
Step-by-step explanation:
i think tanaka might be my favorite :)
Solve the system using a matrix.
4x +
2y = 12
3x - y = -16
([?],[ ]
☁️ Answer ☁️
(-2, 10)
Hope it helps.
Have a nice day noona/hyung ￣▽￣
PLEASE HELP I NEED HELO SOO BAD LIKE RIGHT AWAY!
solve the following equation for the value of k. SHOW UR WORK!
Answer:
k = -4
Step-by-step explanation:
First multiply 3 for both sides of the equation:
- 9 = k - 5
Then isolate k to get
k = -4
Answer:
K is equal to -14
Step by step:
3 x 3 = 9
We need 3 wholes.
5 + 9 = 14
14 - 5 = 9
K represents -14
Hope this helps!
Help asap I have to get my work done soon or I will be up all night.
7mp(m + p + x + 2mp)
Answer:
=14m^2p^2+7m^2p+7mp^2+7mpx
I NEED HELP WITH THIS one angle of a triangle measured 145 degrees. The other two angles are in a ratio of 2:3. what are the measures of those two angles?
Answer:
Step-by-step explanation:
A triangle has 180 degrees in total. One of the angles are 145 degrees, so we can subtract and get 35 degrees. Then, it says that the remaining angles are in a ratio 2:3. So, we would have:
[tex]2x:3x = 35 \\2x+3x = 35\\5x=35\\x=7[/tex]
Now that we know what x is, we can multiply that to our ratio:
[tex]2\cdot7=14 \text{ degrees for the first angle}\\3\cdot7=21 \text{ degrees for the second angle }[/tex]
Hope this helps!!!!!!!in a raffle, one ticket will win a $530 prize, four tickets will win a $500 prize, ten tickets will win a $160 ze, and the other tickets will win nothing. There are 1,000 in the raffle. If you have a ticket, what is e expected payoff?