First you substitute.
[tex]4x+3(x+3)=16\\4x+3x+9=16\\7x=7\\x=1\\y=4[/tex]
Answer:
x = 1 and y = 4
Step-by-step explanation:
Because y = x + 3 we can substitute 3y with 3(x + 3)
4x + 3(x + 3) = 16
4x + 3x + 9 = 16
7x + 9 = 16
7x + 9 - 9 = 16 - 9
7x = 16 - 9
7x = 7
7x ÷ 7 = 7 ÷ 7
x = 7 ÷ 7
x = 1
Since y = x + 3 and x = 1 y = 4.
1 + 3 = 4
x = 1 and y = 4
Check:
x = 1 and y = 4
1 x 4 + 3 x 4 = 16
4 + 12 = 16
Please help I will give brainliest
Answer:
A.
Step-by-step explanation:
Rectangle: Length * Width
—> 12 * 2 = 24
Triangle: Base * Height * 1/2
—> 12 * 2 * 1/2 = 12
Matches answer A.
PLEASE PLEASE HELP!!
Answer:
m <1 = 64
m<2= 26
Step-by-step explanation:
the angle is 90 degree
therefore, <1 + <2 = 90
(x+51) + (2x) = 90
3x +51 = 90
3x = 39
x = 13
hey so i need help on my khan so please please please help
Answer:
Step-by-step explanation:
Which equation is true for the value x = 15?
Answer:
2x-15=15
where x=15
2(15)-15=15
30-15=15
Answer:
2x-15=15
where x=15
2(15)-15=15
30-15=15
A carpenter is measuring a cabinet to
ensure the sides create a right angle.
Determine whether the triangle is a right
triangle
Answer:
It is a right angle triangle.
Step-by-step explanation:
Use the pythagoras theorem. c^2 = a^2 + b^2.
5^2 = 4^2 + 3^2
25 = 16 + 9
25 = 25
7. A garden contains 284 flowers, each of which is either red or yellow. There
are 5 beds of yellow flowers and 4 beds of red flowers. There are 40 yellow
flowers in each yellow flower bed. If r represents the number of red flowers in
each red flower bed, what equation could you use to represent the number of
red and yellow flowers?
Answer:
284=5(40)+4r
Step-by-step explanation:
WILL MARK! Please help:)
Find x so that this quadrilateral is a parallelogram.
Answer:
46
Step-by-step explanation:
Answer:
46 bc the angles across from each other are the same in a parallelogram
The diagram shows a parallelogram ABCD and an equilateral triangle BDE.
CDE is a straight line.
(a) Work out angle BDE
Give a reason for your answer.
(b) Work out angle CDB
Give a reason for your answer.
Answer:
a) ∠BDE is 60° because ΔBDE is an equilateral triangle with all three angles = 60°.
b) ∠CDB = 120° because 180° - 60° = 120°
Step-by-step explanation:
h(x) = -3x + 1 g(x) = 4x + 3 Find h(g(x))
Answer:
-12x -8
Step-by-step explanation:
Substitute g(x) into h(x) so h(4x + 3) = -3(4x +3) + 1 = -12x - 9 + 1 = -12x -8
Plz tell me if I am correct
Answer:
Yep good job!!!
What is the correct order of operations? *
PEMDAS
O MDPASE
ASPEMD
PASEMD
HELPPPPPPP
Answer:
PAMDAS
Step-by-step explanation:
PEMDAS
hope it helps !
What are the measures of ∠1 and ∠2? PLEASE ANSWER
m∠1 = 58.2°, m∠2 = 75.5°
m∠1 = 67.4°, m∠2 = 104.5°
m∠1 = 75.5°, m∠2 = 67.4°
m∠1 = 104.5°, m∠2 = 58.2°
9514 1404 393
Answer:
(b) m∠1 = 67.4°, m∠2 = 104.5°
Step-by-step explanation:
It is easiest to find angle 2 first, then make your answer selection based on that.
The exterior angle 121.8° is the sum of the remote interior angles 17.3° and angle 2. Then ...
angle 2 = 121.8° -17.3° = 104.5° . . . . . . . matches the second choice
__
Angle 2 is an exterior angle of the top triangle. It, too, is the sum of the remote interior angles:
104.5° = angle 1 + 37.1°
angle 1 = 104.5° -37.1° = 67.4°
Answer:
C!
Step-by-step explanation:
m∠1 = 75.5°, m∠2 = 67.4°
Find the value of k that makes the function continuous
Answer:
13/3
OR
4.33333
Step-by-step explanation:
For this function to be continuous, the second function must have the value of the limit as x approaches 3 of the first function.
To find [tex]\lim_{x \to 3} \frac{2x^2-3-15}{x-3}[/tex] we have to factor the top of the fraction
2x^2 - 3 -15
2x^2 - 18
2* (x^2 - 9)
2 * (x + 3) (x - 3)
this is perfect because this cancels out the x - 3 on the bottom
so the function become f(x) = 2 * (x + 3)
When 3 is plugged in it becomes 2 * (3 + 3) = 2 * 6 = 12
Now if you plug in 3 to the second function and make it equal to 12, you can find the value of k.
k*(3) - 1 = 12
k*3 = 13
k = 13/3
k = 4.33
Add the two expressions.
7.4w−5 and −3.7w+3
Enter your answer, in simplified form, in the box.
EXPLAIN HOW TO DO IT.
Answer:
3.7w - 2
Step-by-step explanation:
7.4w − 5 −3.7w + 3 Combine like-terms
7.4w - 3.7w + 3 - 5
3.7w - 2
Answer:
3.7w-2
Step-by-step explanation:
7.4w-5+-3.7w+3
(combine like terms)
7.4w-3.7w=
7.4-3=
4.4-.7= 3.7w
-5+3=-2
3.7w-2
I hope this helps..
Please find the square root. Round your answer to the nearest tenth.
√81.4 =
0Answer: 9.0
Step-by-step explanation:
.
URGENT PLZ HELP
Solve for x. Assume that lines which appear to be diameters are actual diameters.
Answer:
Step-by-step explanation:
This is a central angel so the degree of the angle is equal to the degree of the arc which is 111.
X+114=111
add negative -114 to each side to get X alone.
-114+X+114= 111+-114
X=-3 . Answer negative 3
Check all that apply?
Answer:
B AND D
Step-by-step explanation:
5 1/3 + (2 2/3 + 1 1/3)
nicholas wants to buy a cd for $200 that earns 3% apr and is compounded quarterly. the cd matures in 5 years. his interest earned will not be reinvested in the cd.what will nicholas total interest be at the date of maturation?
Answer: 30
Step-by-step explanation:
Answer:
the correct answer is $1.50 for me
Step-by-step explanation:
st took the quiz and got this question correct, hope this helps!
In the figure, m∠4=74° and m∠3=43° . Find m∠1 and m∠2 .
The measure of the angle m∠1 is 31 degree and the measure of the angle m∠2 is 106 degree.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have:
m∠4=74° and m∠3=43°
m∠4 + m∠2 = 180
74 + m∠2 = 180
m∠2 = 106 degree
m∠3 + m∠2 + m∠1 = 180 (sum of angles in triangle is 180 degree)
43 + 106 + m∠1 = 180
m∠1 = 31 degree
Thus, the measure of the angle m∠1 is 31 degree and the measure of the angle m∠2 is 106 degree.
Learn more about the angle here:
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Point 2 is 106°
Point 1 is 31°
Bit by bit clarification:
every triangle's total angle is 180
first you 180 - 74 = 106 for angle 2
angle 2 you had to use the angle two total then you add it with angle three like this 106 + 43 = 149 then you do 180 - 149 = 31 will give you your angle one
hope it help mark brainliset please
lol please help !!!!!!!
There were 58 birds in a tree.B of the Birds flew away.Choose the expression that shows how many birds are in the pond now.
A. B + 58
B. 58 - b
C. b - 58
D. 58 + b
Answer:
B. 58 - b
Step-by-step explanation:
58 goes in the front, since that is how many birds were there at the start. If B birds flew away, then some are leaving which means the equation would be subtracting by B.
I NEED HELP NOW!! PLEASE
Answer:
320 cubic inches
Step-by-step explanation:
if I remember correctly you have to multiply the given numbers and then divide by that answer by 3 which gives you 320
Answer:
Volume of a rectangular pyramid = (length x width x height) /3 cubic units.
where W = 8 in, h = 12 in, L = 10 in.
Step-by-step explanation:
Volume = ( 10 x 8 x 12 ) /3 = 320 cubic inches.
I hope it help. Have a nice day.
WILL GIVE BRAINLEST This list gives the areas of different garden plots in square meters.
5.5, 6.5, 6.0, 6.0, 6.5, 6.0, 6.5, 7.0, 5.5, 6.5, 5.5, 6.0, 7.0, 5.5, 5.5, 6.5, 6.0, 6.5, 6.5, 6.0, 7.0
Create a line plot to display the data.
To create a line plot, hover over each number on the number line. Then, click and drag up to plot the data.
Answer:
Step-by-step explanation: Let me help
Answer:
i go k 12 i im taking the test rn
Step-by-step explanation:
5.5 6.0 6.5 7.0
3
7
6
5
Conrad paid $52.26 for a pair of shoes. Michelle paid $3.89 more for a pair of shoes than Conrad paid for his.
Answer:
$60.30
Step-by-step explanation:
Answer:
The answer is $52.26 this is a trick question if you were finding how much Michael pay it will be $56.15
brainliest?
What is the product?
(**(3x2-2) (4x2 +5x)
.
O 12x + 15x8 - 8x8 - 10x5
O
12x24 + 15x12 - 8x8 - 10x4
O 12x9-10x5
O 12x24 - 10x4
The product of the expression (3x² - 2) (4x² + 5x) is 12x⁴ + 15x³ - 8x² - 10x.
What is Multiplication?
Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given expression is (3x² - 2) (4x² + 5x).
This can be written as,
(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)
We have to use distributive property here.
a(b + c) = ab + ac for any three numbers or expressions, a, b and c.
(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)
= (12x⁴ + 15x³) - (8x² + 10x)
= 12x⁴ + 15x³ - 8x² - 10x
Hence the product is 12x⁴ + 15x³ - 8x² - 10x.
To learn more about Multiplication of Expressions, click :
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{(-3,2),(0,4),(2,0)}*{(-2,2),(1,2),(2,-5),(5,0)}
Answer:
Not sure what your asking but theirs a repeating domain so THIS IS NOT A FUNCTION
The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long. Any washers that do not meet this requirement must be discarded. What percentage of washers will the factory have to discard
Answer:
32%
Step-by-step explanation:
Let x be the mean of the values and σ their standard deviation.
Since the minimum value of the diameter of the washers is 1.53 mm, then
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+
x + σ = 1.65 mm
2x = 3.18
x = 3.18/2
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
-
x + σ = 1.65 mm
-2σ = -0.12
σ = -0.12/-2
σ = 0.06 mm
Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%
This question is based on the percentage. Thus, 32% of washers will the factory have to discard.
Given:
The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.
We need to determined the percentage of washers will the factory have to discard.
According to question,
Let x be the mean and σ be their standard deviation.
The minimum value of the diameter of the washers is 1.53 mm.
Then,
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+ x + σ = 1.65 mm
⇒ 2x = 3.18
We get,
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
- x + σ = 1.65 mm
⇒ -2σ = -0.12
We get,
σ = 0.06 mm
Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.
And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.
Thus, 32% of washers will the factory have to discard.
For more details, prefer this link:
https://brainly.com/question/13703753
Help math eh at t were rhehh
(7x^2- 3y)^2 simplify
Answer:
49x^4-42x^2 y+9y^2
Step-by-step explanation:
Answer:
49x^4-42x^2 y+9y^2
Step-by-step explanation: