Answer:
1)x=-6,y=1 2)a=0,b=-8 3)j=8,k=1 4)m=3,n=-6
Step-by-step explanation:
1)x-4y=-10,2x+y=-11
x-4y=-10
x=4y-10
2\left(4y-10\right)+y=-11
8y-20+y=-11
9y-20=-11
9y=9
y=1
x=4-10
x=-6
x=-6,y=1
2)a-3b=24,a+2b=-16
a-3b=24
a=3b+24
3b+24+2b=-16
5b+24=-16
5b=-40
b=-8
a=3\left(-8\right)+24
a=-24+24
a=0
a=0,b=-8
3)k-j=-7
4j-5k=27,-j+k=-7
4j-5k=27
4j=5k+27
j=\frac{1}{4}\left(5k+27\right)
j=\frac{5}{4}k+\frac{27}{4}
-\left(\frac{5}{4}k+\frac{27}{4}\right)+k=-7
-\frac{1}{4}k-\frac{27}{4}=-7
-\frac{1}{4}k=-\frac{1}{4}
k=1
j=\frac{5+27}{4}
j=8
j=8,k=1
4)m+n=-3,m-4n=27
m+n=-3
m=-n-3
-n-3-4n=27
-5n=30
n=-6
m=-\left(-6\right)-3
m=6-3
m=3
m=3,n=-6
If f(x) = -x + 5 and g(x) = x^2, what is (g° (-1)?
Answer:
[tex](g\circ f)(-1)=36[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=-x+5\text{ and } g(x)=x^2[/tex]
And we want to find:
[tex](g\circ f)(-1)[/tex]
This is equivalent to:
[tex]=g(f(-1))[/tex]
So, evaluating f(-1) first, we acquire:
[tex]f(-1)=-(-1)+5=6[/tex]
Then by substitution:
[tex]=g(6)[/tex]
So:
[tex]=(6)^2=36[/tex]
Therefore:
[tex](g\circ f)(-1)=36[/tex]
Your answer is indeed correct.
Answer:
please refer to the above attachment.
36 is the right answer.What is the product of (y + 3) and (7y – 1)?
Answer: =7y^2+20y−3
Step-by-step explanation:
Question 1 (Multiple Choice Worth 1 points)
(01.02 LC)
Solve for x: 3(x + 1) = 2(x - 1)
0-5
O-4
w
0-2
0-1
Help plssss
Answer:
-5
Step-by-step explanation:
we distribute the 3 and 2 on both sides to get:
3x+3=2x-2
we can subtract 3 on both sides to get
3x=2x-5
Now we subtract 2x on both sides to get
x=-5
Hope this helps :)
I NEED HALP ASAP HALP
Answer:
7,350
Step-by-step explanation:
DUE IN 5 MINUTES MATH QUESTION
Answer:
x= -10
Step-by-step explanation:
So because the angle 55 is part of the same line as one of the unknown angles you can do 180-55 to find that first angle at the top, which is 125.
Next add all three angles (125 + x + 35 + x + 40)=180
Combine the x values to get 2x and subtract the three values from 180
Then 2x= -20, x should be equal to -10
You can plug x back into the values and check your work by adding all the values again, making it all equal to 180 degrees again
factor the expression -20x - 15
Answer:
−5(4x+3)
Step-by-step explanation:
Angie wants to make a special cake for her family, but the recipe is in all metric measures. The recipe calls for 708 milliliters (ml) of milk. If 16 cups of milk = 3785.4 ml, how many cups of milk should Angie use for the cake? Round your answer to the nearest cup.
Answer:
theres some balls in my mouth
Step-by-step explanation:
Answer:
3 cups or 2.99254101 cups
Step-by-step explanation:
16 cups = 3785.4 mL
Convert 708 Milliliters to Cups
To calculate 708 Milliliters to the corresponding value in Cups, multiply the quantity in Milliliters by 0.0042267528198649 (conversion factor). In this case we should multiply 708 Milliliters by 0.0042267528198649 to get the equivalent result in Cups:
708 Milliliters x 0.0042267528198649 = 2.9925409964644 Cups
708 Milliliters is equivalent to 2.9925409964644 Cups.
How to convert from Milliliters to Cups
The conversion factor from Milliliters to Cups is 0.0042267528198649. To find out how many Milliliters in Cups, multiply by the conversion factor or use the Volume converter above. Seven hundred eight Milliliters is equivalent to two point nine nine three Cups.
Definition of Milliliter
A milliliter (also written "millilitre", SI symbol ml) is a non-SI metric system unit of volume which is commonly used as liquid unit. It is equal to 1/1000 liter, or one cubic centimeter, therefore, 1ml = 1/1000 L =1 cm3.
Definition of Cup
The cup is an English unit of volume, most commonly associated with cooking and serving sizes. It is traditionally equal to half a liquid pint in either US customary units or the British imperial system but is now separately defined in terms of the metric system at values between 1⁄5 and 1⁄4 of a liter. Because actual drinking cups may differ greatly from the size of this unit, standard measuring cups are usually used instead. In the United States, the customary cup is half of a liquid pint or 8 U.S. customary fluid ounces. One customary cup is equal to 236.5882365 millilitres.
The answer is 2.99254101 cups (rounded to the nearest cup it is 3 cups!)
Hope this helps!! ^^
Which function is the inverse of g(x) = [tex]\frac{(x-1)^{3} }{2} -3[/tex]?
Answer:
third option
Step-by-step explanation:
let g(x)=y
(x-1)³/2-3=y
(x-1)³/2-3/1=y
(x-1)³-6/2=y
(x-1)³-6=2y
(x-1)³=2y+6(find cubic root of both sides)
(x-1)=³√(2y+6)
x=³√(2y+6)+1
Replace y with g for the inverse
g^-1(x)=³√(2x+6)+1
The radius of a circle is 12 centimeters. What is the circle's area?
r=12 cm
Use 3.14 for a
square centimeters
Answer:A=452.16
Step-by-step explanation:
A=π·r²
A=3.14·12²
A=3.14·144
A=452.16
Katie wants to figure out how far her school is from her house. She took out a map and measured the distance to be 4 inches. If the scale factor on the map is 1 inch = 6 miles, how many miles would her house from school be
Answer:
24 miles UwU
Step-by-step explanation: G'day mate!
express the ratio in its simplest form 1\4:1\8:1\16
Answer:
4 : 2: 1
Step-by-step explanation:
[tex] \frac{1}{4} : \frac{1}{8} : \frac{1}{16} \\ \\ multiplying \: throughout \: by \: 16 \\ \\ 16 \times \frac{1}{4} : \:16 \times \frac{1}{8} : \: 16 \times \frac{1}{16} \\ \\ 4 : 2 : 1[/tex]
Does anyone know how to tell if a graph is inverse
Step-by-step explanation:
A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.
you can tell if the graph is inverse if f(x) passes the horizontal line test ( basically if it touches the line that goes across *horizontally* on the graph) and a graph is a one to one function if and ONLY if it touches both vertical and horizontal lines on the graph
12. UZ, VX, and TW are medians of Triangle TUV. If YX = 8, find VY.
Answer:
VY = 16
Step-by-step explanation:
The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertex.In the given figure
∵ TUV is a triangle
∵ UZ, VX, and TW are medians
∵ UZ ∩ VX ∩ TW at point Y
∴ Y is the point of intersection of the 3 medians
→ By using the 2nd rule above
∵ The point Y divide VX at the ratio of 2: 1 from the vertex V
∴ VY: YX = 2: 1
∴ [tex]\frac{VY}{YX}[/tex] = [tex]\frac{2}{1}[/tex]
→ By using cross multiplication
∵ VY × 1 = YX × 2
∴ VY = 2YX
∵ YX = 8
∴ VY = 2(8)
∴ VY = 16
Write an equation that described how many cups of milk, m, would be needed for b cups of blueberries. 6 cups of milk for 2 cups of blueberries
Answer:
6 x 2 = ?
6 x 2 = 1 2
Step-by-step explanation:
6 cups of milk and 2 cups of blueberries multiply them from each other and you get your answer .
Example:
Brigette is putting a border around a scrapbook cover.
The cover is 12 inches tall and 14.5 inches wide. How
much border does Brigette need?
Answer:
53
Step-by-step explanation:
You need the perimeter, which is all sides added together
Answer:
53
Step-by-step explanation:
Perimeter= w+w+h+h
w=width
h=height
w=14.5
h=12
12+12=24
14.5+14.5=29
29+24=53
Which statement about these triangles is true?
In the past month, Heather rented 1 video game and 5 DVDs. The rental price for the video game was $3.30. The rental price for each DVD was$4.80 . What is the total amount that Heather spent on video game and DVD rentals in the past month?
Answer:
$27.30
Step-by-step explanation:
$4.80×5=$24.00+$3.30=$27.30
sum of two rational numbers is - 8 is 3 by 4 find others
Answer:
Step-by-step explanation:
ans is -35/4.
Geometric proofs of segments
Again..
Given: B is the midpoint of AC
C is the midpoint of BD
Prove: AD=3AB
This one hurts to look at
Answer:
The proof is shown below.
Step-by-step explanation:
Given: B is mid point of AC and C is mid-point of BD.
To prove: AD=3AB
It is given that B is mid-point of AC.
⇒ AB = BC ...(1)
Also, C is mid-point of BD.
⇒ BC = CD ...(2)
From (1) and (2),
AB = BC = CD
Now, AD = AB + BC + CD
⇒ AD = AB + AB + AB (∵ AB = BC = CD )
Hence proved.
Can some one help (8 grade math)
Answer:
A
Step-by-step explanation:
V = pie x r*2 x h
Someone help with this please
Answer:
the answer is discrete
this is because Jude's debt is increasing over time, and his debt is increasing because his friend keeps on handing him $5 every weekend
Step-by-step explanation:
Evaluate the expression below at x = 6.
Answer:
64
Step-by-step explanation:
[tex](6+1/3x)^2[/tex]
Lets first substitute x into the equation:
[tex](6+1/3[6])^2[/tex]
1/3 times 6 = 2
[tex](6+2)^{2}[/tex]
[tex]8^{2}[/tex]
Which equals 64
Is this question -true or false- I dont know
Answer: FALSE
Step-by-step explanation:
Does this graph show a function? why or why not?
It is a function because we do not have two or more red points vertically aligned. In other words, we don't have any red points stacked. This graph passes the vertical line test.
The vertical line test is where we try to find a single vertical line passing through more than one red point. No such vertical line exists, so that's why this graph passes. Passing the vertical line test means we therefore have a function.
A function is where any input x leads to exactly one output. For instance, the input x = 9 leads to the single output y = 28. Similar situations happen with the other x values as well. If we had the two points (9,28) and (9,36), then this wouldn't be a function.
PLEASE HELP URGENT!!
An irregular polygon is shown below:
A: 21 Square Inches
B: 22 Square Inches
C: 26 Square Inches
D: 29 Square Inches
Answer:
[tex]26\:\mathrm{in^2}[/tex]
Step-by-step explanation:
The irregular polygon is made of a large rectangle with two smaller rectangles cut out of it. Therefore, we can find the area of the large rectangle and subtract these two smaller rectangles:
[tex]10\cdot 5-2\cdot3\cdot4=50-24=\fbox{$26\:\mathrm{in^2}$}[/tex].
2. Are the triangles shown below similar
not? How do you know? (Explain your reasoning)
Answer:
yes the both have all the same angles
Step-by-step explanation:
180-90=90
90-35=55
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
The value of p and q in the right triangle are as follows:
p ≈ 30.6 units
q ≈ 14.9 units
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the side of a right triangle can be found using trigonometric ratios as follows:
Let's find p and q using the trigonometric ratios.
Hence,
sin 64 = opposite / hypotenuse
opposite side = p
hypotenuse = 34
Therefore,
sin 64 = p / 34
cross multiply
p = 34 sin 64
p = 30.5589975742
p ≈ 30.6 units
Hence,
cos 64 = adjacent / hypotenuse
cos 64 = q / 34
cross multiply
q = 34 cos 64
q = 14.9046189908
q = 14.9 units
Therefore,
p ≈ 30.6 units
q ≈ 14.9 units
learn more on right triangles here: https://brainly.com/question/21633806
#SPJ1
3/5+1/3= ...............................................................................................................
Answer:
Step-by-step explanation:
you add two fractions:
3/5+1/3=
find the common denominator = it is 15 (3*5)
9/15+5/15=14/15
Cory has the marbles shown below. If Cory gives of the marbles to his brother, how many marbles will Cory have left 0 A 3 B5 C 10 D 1o show work
Answer:
Can you give more information so i can answer your question
Step-by-step explanation:
If the lengths of the sides of a
Switzerland flag are 10 ft, what is the area of the flag?