Answer:
2x + 6 = 90
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees, so the sum of the angles is 90 degrees. We could let x be the measure of the angle. The other angle is x + 6, so the answer is x + x + 6 = 90, or 2x + 6 = 90
From the given measure whose angle is 6° less than the measure of its complement.
The measure of the two angles is 47° and 43° respectively.
Complementary angles are angles whose sum is equal to 90°. It is usually composed of two angles complementing themselves.
Mathematically;
Let the first angle be a and the second angle be b
∴
a + b = 90° (complemntary angles)
If one of the angles is 6° less than its complement;
i.e.
Let a = 6
SO, the algebraic equation for the value of a is:
a = b - 6
Replacing the value of a to solve the equation, we have:
(b - 6) + b = 90
2b - 6 = 90
2b = 90 - 6
2b = 86
b = 86/2
b = 43°
From a + b = 90°
a = 90° - 43°
a = 47°
Therefore, we can conclude that the measure of each angle is 47° and 43°.
Learn more about complementary angles here:
brainly.com/question/15592900?referrer=searchResults
Find p(4) and p(-2) for each function.
p(x) = x² – 3x + 8
Answer:
p(x)=x2 - 3x + 8
p(4) =(4)2 - 3(4) + 8
= 16 - 12 + 8
= 4+8
= 12
p(-2)= (-2)2 - 3(-2) + 8
= 4+6+8
=18
Given that f(x) = 3x + 1 and g(x) = the quantity of 4x plus 2 divided by 3 , solve for g(f(0)). (5 points) 2 6 8 9
[tex]f(0)=3(0)+1[/tex]
[tex]f(0)=1[/tex]
[tex]g(1)=\frac{4(1)+2}{3}[/tex]
[tex]g(1)=\frac{4+2}{3}[/tex]
[tex]g(1)=\frac{6}{3}[/tex]
[tex]g(1)=2[/tex]
Hope this helps.
頑張って!
Solve for b. 13/b = 8/1 A. b=1.25 B. b=1.26 C. b=16.25 D. b=1.625
Answer: [tex]b=13/8[/tex]
Cross multiply
[tex](13)*(1)=8*b\\13=8b[/tex]
Flip the equation
[tex]8b=13[/tex]
Divide both sides by 8
[tex]8b/8=13/8\\b=13/8[/tex]
Pizzas cost $12 each, tax included. You decide to give the delivery driver a $6 tip.
Find the cost for 3 pizzas.
Answer:
$42
Step-by-step explanation:
12*3=36+6=42
A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile.
5/6(1/2(12)+6)-3(12)
Answer:
-26
Step-by-step explanation:
the answer is -26 hopefully this helps
I’m really confused on how to do this
Answer:
Substitute x with six in the equation and solve as normal.
Step-by-step explanation:
The format here is a bit weird, but it basically means x is six.
What is the upper bound of the function f(x)=4x4−2x3+x−5?
Answer:
(no global maxima found)
Step-by-step explanation:
Find and classify the global extrema of the following function:
f(x) = 4 x^4 - 2 x^3 + x - 5
Hint: | Global extrema of f(x) can occur only at the critical points or the endpoints of the domain.
Find the critical points of f(x):
Compute the critical points of 4 x^4 - 2 x^3 + x - 5
Hint: | To find critical points, find where f'(x) is zero or where f'(x) does not exist. First, find the derivative of 4 x^4 - 2 x^3 + x - 5.
To find all critical points, first compute f'(x):
d/( dx)(4 x^4 - 2 x^3 + x - 5) = 16 x^3 - 6 x^2 + 1:
f'(x) = 16 x^3 - 6 x^2 + 1
Hint: | Find where f'(x) is zero by solving 16 x^3 - 6 x^2 + 1 = 0.
Solving 16 x^3 - 6 x^2 + 1 = 0 yields x≈-0.303504:
x = -0.303504
Hint: | Find where f'(x) = 16 x^3 - 6 x^2 + 1 does not exist.
f'(x) exists everywhere:
16 x^3 - 6 x^2 + 1 exists everywhere
Hint: | Collect results.
The only critical point of 4 x^4 - 2 x^3 + x - 5 is at x = -0.303504:
x = -0.303504
Hint: | Determine the endpoints of the domain of f(x).
The domain of 4 x^4 - 2 x^3 + x - 5 is R:
The endpoints of R are x = -∞ and ∞
Hint: | Evaluate f(x) at the critical points and at the endpoints of the domain, taking limits if necessary.
Evaluate 4 x^4 - 2 x^3 + x - 5 at x = -∞, -0.303504 and ∞:
The open endpoints of the domain are marked in gray
x | f(x)
-∞ | ∞
-0.303504 | -5.21365
∞ | ∞
Hint: | Determine the largest and smallest values that f achieves at these points.
The largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:
The open endpoints of the domain are marked in gray
x | f(x) | extrema type
-∞ | ∞ | global max
-0.303504 | -5.21365 | global min
∞ | ∞ | global max
Hint: | Finally, remove the endpoints of the domain where f(x) is not defined.
Remove the points x = -∞ and ∞ from the table
These cannot be global extrema, as the value of f(x) here is never achieved:
x | f(x) | extrema type
-0.303504 | -5.21365 | global min
Hint: | Summarize the results.
f(x) = 4 x^4 - 2 x^3 + x - 5 has one global minimum:
Answer: f(x) has a global minimum at x = -0.303504
suppose Q is the midpoint of PR. use the information to find the missing value. PQ equals 3x + 14 and QR equals 7X - 10; find X.
Answer:
x=6
Step-by-step explanation:
A midpoint is the middle point of a line segment, therefore it is equal distances from both ends of the segment.
This means that PQ and QR have the same length. So all we have to do is set each value equal to each other, and then solve for X.
[tex]3x+14=7x-10\\3x+24=7x\\24-4x\\x=6[/tex]
Answer:
x=-0.4
Step-by-step explanation:
ok you have to visualize this line
P Q R
O---------------------O-----------------------O
3x+14 7x-10
so to make the equation of PR you would add PQ and QR together.
3x+14+7x-10
add your like terms
10x+4
solve for x
10x+4=0
subtract 4 from each side
10x=-4
divide both sides by 10
x=-2/5 fraction
x=-0.4 decimal
3. Your friend is having trouble deciding which shirt, tie, and pair of pants to wear to
his school's formal dance. He has 4 shirts, 3 pairs of pants, and 4 ties. How many
total possible outfits can be created?
64 outfits
16 outfits
48 outfits
12 outfits
Answer: 4 shirts x 3 pairs of pants x 4 ties = 4 x 3 x 4=48
so there are 48 possibilities (option 3)
Rewrite as a simplified fraction.
\large{2.1\overline{6} = ?}2.1
6
=?
Answer:
Note that
0.16666...is equivalent to 1/6
Step-by-step explanation:
We can use the sum of fractions to write out the decimal:
For this particular question, we can see that
0.16666...is the fraction 1/6, therefore
the given decimal
2.16666...=2+1/6=13/6
The 100 residents are asked if they like to watch basketball and or football. The results are that 98 like to watch basketball, 12 like to watch football, and 2 dislike both. How many like to watch football?
Answer:
12 people like to watch football
Step-by-step explanation:
The results are that 98 like to watch basketball, 12 like to watch football, and 2 dislike both.
Total number of residents = 100
Basketball (B) = 98
Football(F) = 12
Number of residents that like basketball and football = ( B ∩ F)
2 dislike both
n ( B ∪ F) - People that dislike it = n(B) + n ( F ) - n ( B ∩ F)
100 - 2 = 98 + 12 - n ( B ∩ F)
98 = 110 - n ( B ∩ F)
n ( B ∩ F) = 110 - 98
= 12
Therefore, 12 people like both Football and Basketball
How many like to watch football?
From the above question, we can see that the total number of people that like to watch football = 12 people
look at image. reflection across the x-axis
Answer:
H stays G -2,-4 F -5,-3 are the new points
Step-by-step explanation:
A whale swims down 300 feet to feed what is the whales elevation now?
Answer:
-300
Step-by-step explanation:
if the whale is at the serface 0 and it goes 300ft down its -300
What is the rate of change for the points (0,3) and (2,7)
Answer:
2
Step-by-step explanation:
The rate of change in function f(x) from x = a to x = b is (f(b) - f(a))/(b - a).
rate of change = (7 - 3)/(2 - 0) = 4/2 = 2
Answer:
rate of change = 2 unit rise per 1 unit run
Step-by-step explanation:
The rate of change of two points on a graph is represented by the slope of a line connecting the two points.
here we are given the coordinates of the two points, hence we can simply apply the slope formula for a line given two points (see attached)
for points (0,3) and (2,7)
x₁ = 0, y₁ = 3, x₂ = 2, y₂ = 7
substituting these into the formula
rate of change
= slope, m
= (y₂-y₁) / (x₂-x₁)
= (7 - 3) / (2 - 0)
= 4 / 2
= 2
Can I have help I can’t divide decimals
Answer:
1) 5
2) 5.30..... etc
3) 4.65
4) 5
5) 5 this is the answer to all your questions
Answer:
The first, fourth, and fifth one.
-Is ZFDE a possible name for the figure below? Explain.
E
D
F
It’s number 14
Answer: Yes [tex]\angle FDE[/tex] is one possible angle name
Another name is [tex]\angle EDF[/tex]
When it comes to naming an angle this way, all we need to worry about is the vertex point. This is where the angle hinges (think of a door or a pair of scissors). In this case, the hinge or vertex point is at point D. The vertex is always the middle letter of any three-letter sequence. The order of the other two points does not matter.
This is why saying "angle FDE" is the same as "angle EDF".
BC = 12 and AB = 11. Find AC.
Answer:
AC = 23
Step-by-step explanation:
Assuming A, B, and C are on a line with B in the middle...
We know that AB + BC = AC. Travelling from A to C is the same as travelling from A to B, then B to C, as B is on the way between A and C.
Knowing this, we can set up this equation and add the 2 numbers we know:
AC = AB + BC
AC = 11 + 12
AC = 23
3. What is the volume of the triangular
prism?
Answer:
C. 51,84
Step-by-step explanation:
the volume of the triangular prism is 1/2*3.2*5.4*6
Answer:
C
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Al ( A is the area of the triangular end, l is the length )
A = [tex]\frac{1}{2}[/tex] bh ( b is the base, h the perpendicular height )
Here b = 5.4 and h = 3.2 , thus
A = 0.5 × 5.4 × 3.2 = 8.64 cm² , then
V = 8.64 × 6 = 51.84 cm³ → C
What Do You Want To Learn About In Math This Year
Answer:
math
Step-by-step explanation:
Help asap i tried many times please just tell the answers no Need for explaing also if you get it right i will give brainly :)
Answer:
x = 35°, Angle 1 = 145°, Angle 2 = 35°
Step-by-step explanation:
In a trapezoid, the angles on the same leg are supplementary, meaning they add up to 180°. That means Angle 2 plus Angle 1 equals 180°. Therefore:
[tex](4x+5)+x=180^{\circ}\\5x+5=180^{\circ}\\5x=175^{\circ}\\x=35^{\circ}[/tex]
Therefore, x = 35°, Angle 2 = 35°, and Angle 1 =
[tex]4x-5^{\circ}\\4(35^{\circ})+5^{\circ}\\140^{\circ}+5^{\circ}=145^{\circ}[/tex]
To ensure our answers make sense, we verify they equal 180°:
[tex]145^{\circ}+35^{\circ}=180^{\circ}[/tex]
Answe
x = 35°, Angle 1 = 145°, Angle 2 = 35°
Step-by-step explanation:
Step-by-step explanation:
In a trapezoid, the angles on the same leg are supplementary, meaning they add up to 180°. That means Angle 2 plus Angle 1 equals 180°. Therefore:
Therefore, x = 35°, Angle 2 = 35°, and Angle 1 =
To ensure our answers make sense, we verify they equal 180°:
What are the next three numbers in the sequence? 80, 90, 85, 95, 90, 100, 95, 105, _____, _____, _____
Answer:
100, 110, 105
Step-by-step explanation:
Answer:
100,105,110
Step-by-step explanation:
9*9=??????????????????????
Answer:
18
Step-by-step explanation:
9+9=18 bam solved it
How do I solve this ?
Answer:
Step-by-step explanation:
I'm just going to go out on a limb here and assume that those are a set of poorly made parenthesis. This, then, would be your equation:
[tex]x+\frac{x}{7}+\frac{1}{11}(x+\frac{x}{7})=60[/tex]
The first thing to do is distribute through the parenthesis to get:
[tex]x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60[/tex]
Next is to get rid of the denominators by multiplying by the LCM of 77:
[tex]77(x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60)[/tex] which gives you:
77x + 11x + 7x + x = 4620 and
96x = 4620 so
[tex]x=\frac{385}{8}[/tex]
I know it’s a lot but I need help didn’t get the material because I’m doing online classes and my WiFi is trash
Answer: not sure if that is a b but i beleive it is so
bh+hr=25
move all terms to the left side and set equal to 0. then set each factor equal to zero.
h= [tex]\frac{25}{b+r}[/tex]
isolate the variable by dividing each side by factors that dont
contain the variable.
r=[tex]\frac{25}{h}-b[/tex]
x=[tex]\frac{r-h}{y}[/tex]
isolate the variable by dividing each side by factors that dont
contain the variable.
h=-xy+r
solve for r by simplifieng both sides of the equation, then isolating the variable.
r=xy+h
Answer:
1A. h = 25/(b + r)
1B. r = 25/h - b
2A. h = r - xy
2B. r = xy + h
Step-by-step explanation:
1. bh + hr = 25
A. h(b + r) = 25
h = 25/(b + r)
B. h(b + r) = 25
b + r = 25/h
r = 25/h - b
2. x = (r - h)/y
A. xy = r - h
h + xy = r
h = r - xy
B. xy = r - h
r = xy + h
When a car's brakes are applied, it travels 7 feet less in each second than the previous second until it comes to a complete stop. A car goes 28 feet in the first second after the brakes are applied. How many feet does the car travel from the time the brakes are applied to the time the car stops?
Answer:
70feet
Step-by-step explanation:
during the
1st sec it travels 28 ft
2nd sec =28-7=21ft
3rd sec= 21-7=14ft
4th sec= 14-7= 7ft
last sec=7-7=0ft, at this point the car stops.
so altogether it travels 28+21+14+7+0= 70 feet
Evaluate and simplify the following expression for the given values
Answer:
-88
Step-by-step explanation:
-a² + 4ab - b²
Substitute the variables with the numbers given.
-2² + 4(2×-6) - -6²
-2² + 4(-12) - -6²
-4 + 4(-12) - 36
-4 + -48 - 36
-52 - 36 =
-88
(im starting 8th grade tommorow and im doing this cause im bored and i should practice xD)
help solve #12 plz
Answer:
The second: f(-5) = 2Step-by-step explanation:
x = -5
-5 < -4 and if x<-4 then f(x) = - 2x - 8
so:
f(-5) = - 2(-5) - 8 = 10 - 8 = 2
Find the midpoint: (-1, 9), (7, -1)
Answer: (3,4)
Step-by-step explanation:
To find the midpoint, you want to use the formula [tex]m=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]. Since we are given the two points, we can plug them in and solve.
[tex]m=(\frac{-1+7}{2} ,\frac{9+(-1)}{2} )[/tex] [add numerator]
[tex]m=(\frac{6}{2} ,\frac{8}{2} )[/tex] [divide]
[tex]m=(3,4)[/tex]
Now, we know that the midpoint is (3,4).
What term describes the monomial 14xyz?
A. constant
B. linear
C. quadratic
D. cubic
Answer:
c
Step-by-step explanation:
just because sorry, I'm new but please don't rate this bad but I do know the awnser