Answer:
-4Step-by-step explanation:
Given the function f(x)=(x+4)², the x intercept occurs at f(x) = 0, substituting f(x) = 0 into the given equation to get the value of x we have;
[tex]0 = (x+4)^{2} \\[/tex]
Taking the square root of both sides
[tex]\sqrt{(x+4})^{2} = \sqrt{0}\\ x+4 = 0\\[/tex]
Subtracting 4 from both sides of the equation
[tex]x+4-4 = 0-4\\x = -4[/tex]
Therefore the x intercept of the equation is -4
Simplify (10–2) 4. A) 10^-8 B)10^-6 C)-10^-6 D)-10^8
Answer:
A
Step-by-step explanation:
[tex](10^{-2})^{4}[/tex]
Apply the law of exponents.
[tex]10^{-2 \times 4}[/tex]
[tex]=10^{-8}[/tex]
Answer:
[tex] = {10}^{ - 8} \\ [/tex]
Answer A is correct.
Step-by-step explanation:
[tex] {( {10}^{ - 2}) }^{4} \\ {10}^{ - 2 \times 4} \\ = {10}^{ - 8} [/tex]
If the temperature is 3 °C and it drops by 12 °C. What is the new temperature?
Answer:
-9 degrees
Step-by-step explanation:
According to integer rules, the question involving subtraction. We form the statement: 3 - 12
Here, to make it simply, we do normal subtraction (12 - 3) and we add a negative sign.
Hope it helps and please mark as the brainliest
Is the following graph a linear function, a nonlinear function, and/or a relation
Answer: Option C.
Step-by-step explanation:
Ok, first, a linear function is something of the shape of:
y = a*x + b.
And the graph of those functions is a line, as the name implies, so we can discard that option.
So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.
Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.
Then the correct option is C, nonlinear, and a relationship.
Simplify -{2x-[3-(4-3x)]+6x}.
Step-by-step explanation:
_2x _3x+3+64-4=
_5x+63
Can some one help with the following please…???
Answer:
5. 8
6. 18
Step-by-step explanation:
5.
a(a^2 + a - 1) + 7 =
= a^3 + a^2 - a + 7
For a = -1,
= (-1)^3 + (-1)^2 - (-1) + 7
= -1 + 1 + 1 + 7
= 8
6.
2ab(a + b) - 3ab(a - b) =
= 2a^2b + 2ab^2 - 3a^2b + 3ab^2
= -a^2b + 5ab^2
For a = 1 and b = 2,
= -(1)^2(2) + 5(1)(2)^2
= -1(2) + 5(4)
= - 2 + 20
= 18
Answer:
Step-by-step explanation:
a(a^2 + a -1) +7
a^3+a^2-a+7
f(-1)=(-1)^3+(-1)^2-(-1)+7
f(-1)=-1+1+1+7
f(-1)=0+1+7
f(-1)=8
2ab(a+b)-3ab(a-b)
2a^2*b+2ab^2-3a^2*b+3ab^2
−a^2*b+5ab^2
when a=1 and b=2
−a^2*b+5ab^2
−(1)^2*2+5*1*2^2
-1*2+5*1*4
-2+5*4
-2+20
18
25 points !!! 3 1/3 x 52
Answer:
Irrational
Step-by-step explanation:
3 1/3 × √52
= 10/3 × √52
= 20/3√13
= 24.037009
Irrational, the product cannot be written in the form p/q as a fraction.
Answer:
irrational
Step-by-step explanation:
3 1/3 * sqrt(52)
Changing to an improper fraction
10/3 * sqrt(52)
10 /3 * sqrt( 4*13)
10/3 * sqrt(4) sqrt(13)
10/3 * 2 sqrt(13)
20/3 sqrt(13)
Since sqrt(13) is irrational the product is irrational
I’m confused. Thanks
Step-by-step explanation:
Angle XBC = 55 degrees because it is a corresponding angle with Angle AXC
and corresponding angles are equal or congruent.
Ok so angle XBC = 55 degrees and since this an isosceles triangle
XBC = XCB which means XCB = 55 degrees
Now to find angle BXC we know that all angles of a triangle add up to 180 degrees.
Angle XBC + Angle XCB + Angle BXC = 180 degrees
Let x represent angle BXC
55 + 55 + x = 180
110 + x = 180
x = 180 - 110
x = 70
∴ Angle BXC = 70 degrees
What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to 0 all real numbers greater than or equal to –2 all real numbers greater than or equal to –3
Explanation:
The left-most point is at (-3,-2). The x coordinate is all we're concerned with here. The x coordinate for this point is x = -3. This is the smallest x value possible as an input. We cannot have x = -4 as that is nowhere on the blue curve.
So the domain is the set of real numbers x such that x is -4 or larger
In set builder notation, that would look like [tex]\{x|x\in\mathbb{R}, \ x \ge -3\}[/tex]
In interval notation, we would say [tex][-3, \infty)[/tex] to indicate to the reader "have an interval from -3 to positive infinity; include the endpoint -3"
Answer:
the answer will be
all real numbers greater than or equal to -3
which is d
Step-by-step explanation:
plz give me a Brainliest
thank you
hope it helped:)
What is m
E
45°
125°/F
80°
A
45°
D
125°
135°
B
Answer:
45° is the answer as to me check it ok
In the figure below, find the values of the angles given in the first column
Answer:
Angle 1 = 110 degrees
Angle 2 = 70 degrees
Angle 3 = 100 degrees
Angle 4 = 80 degrees
Step-by-step explanation:
We will first of all search for the pieces of information given in the question that can help us to solve the problem.
From the diagram, we can see that angle 3 and angle 4 are already given as
Angle 3 = 100 degrees
Angle 4 = 80 degrees
The value of angle 1 has already been supplied as 110 degrees. This leaves us with angle 2 to find.
Recall that the angles in a straight line all sum up to 180 degrees. angle 1 and 2 are on the same straight line, hence angle 2 can be found by solving 180 - 110 = 70 degrees
Angle 2 = 70 degrees
in 1975 the population of the village was 900 it increased by 30% the following year what was the population of the year 1976
Answer:
1170
Step-by-step explanation:
Total Population = 900
Annual rate of increase = 30 % of 900
=> [tex]\frac{30}{100}*900[/tex]
=> 30 * 9
=> 270
Population next Year = 900+270
=> 1170
Because you are working a late shift, you will get an increase in your wage. You will get and additional 10% per hour from 6:00pm to 12:00 am and additional 15% from 12:00 am to 1:00 am
CHECK THE COMPLETE QUESTION BELOW:
Supervisor: "Because you are working a late shift, you will get an increase in your wage. You will get an additional 10% per hour from 6:00 PM to 12:00 AM and additional 15% from 12:00 AM to 1:00 AM." Employee: "I am working from 2:00 PM to 12:00 AM. Between 2:00 PM and 6:00 PM, I will make $12.00 per hour. Between 6:00 PM and 12:00 AM, I will make __________ per hour
Answer:
I will make $13.2 per hour
Explanation:
It can be deducted from the question that that the money Employee gets money for Working from 2.00 PM to 6.00 PM = $12per hour
Also the Employee gets additional 10% of money for working from 6.00 PM to 12.00 AM which implies that
10% = (10/100)*$12per hour
=$1.2per hour
Again, Employee gets additional 15% of the money for working from 12.00 AM to 01.00 AM which can be calculated as:
15% = (15/100)*$12per hour
=$1.8 per hour
which means that Employee gets additional $1.8 per hour
of the money for working from 12.00 AM to 01.00 AM
Therefore, if Employee works from 2.00 PM to 12.00 AM,
Employee will gets money for Working from 2.00 PM to 6.00 PM as well as the 10\% extra wage which
= $12 + $1.2 = $13.2
= \$ 12 + \$ 1.2 = \$ 13.2
In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side c?
Answer:
c = 730 cm
Step-by-step explanation:
To solve this question we just need to use the law of sines:
The ratio between a side in the triangle and its opposite angle is always the same.
So we have that:
[tex]a / sin(A) = c / sin(C)[/tex]
[tex]714 / sin(78) = c / sin(90)[/tex]
sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:
[tex]714 / 0.9781 = c / 1[/tex]
[tex]c = 714 / 0.9781 = 730\ cm[/tex]
Can someone please help me with this I don’t get it please help me
Answer:
13.3
Step-by-step explanation:
The triangles are similar so we can use ratios to solve
AM AN
---------- = ------------
AM+AB AC
6 8
---------- = ------------
6+4 AC
Using cross products
6AC = 8 * 10
6AC = 80
Divide by 6
AC = 80/6
AC =13 1/3
AC = 13.33333
Answer:
11
Step-by-step explanation:
add
10. The diagram on the right shows the growth of a type of cell. nx4
It is given that on the first day, there are four cells. On the
second day, each cell produces three cells. On the following n
day, each new cell produces another three new cells. The
process of producing new cells repeats at the same rate.
(b)calculate the total number of cells on the fifth day
i would answer you're question. i'm trying to work it out but i'm not really understanding it. :(
Jamal traveled 80 miles in 1 1/4 hours. Which expression gives Jamal's speed in miles per hour?
Answer:
64 mph
Step-by-step explanation:
80 divided by 1.25 equals 64
1.25 is the decimal version of 1 and 1/4
Answer:
80/ 1 1/4
Step-by-step explanation:
Also CALM DOWN JAMAL DONT PULL OUT THE 9
what is the point slope form of a line with slope -4 that contains the point (-2,3)
Answer:
y -3 = -4(x+2)
Step-by-step explanation:
The point slope form of a line is
(y-y1) = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y -3 = -4(x- -2)
y -3 = -4(x+2)
2 less than a number times 6
Find the distance between the points (-5,-2) and (7,3).
Answer:
Step-by-step explanation:
please help you don’t need to explain this just tell me the right answer
Answer:the SAS similarity theorem
Step-by-step explanation:
Angles A and B are the acute angles of a right triangle. If the tangent of A is 2.1445, the angle B measures
Answer:
Answer is 25°
Step-by-step explanation:
let me know if you got it correct
A cone shaped container can hold 340.2 in cubed. If the radius of the opening is 5in what is the height of the cone? Round to the nearest in.
Answer:
about 128 inches
Step-by-step explanation:
Since it's talking about how much the container is holding, this means we have to use the formula for the volume of a cone, which is [tex]V=\pi r^{2} \frac{h}{3}[/tex]
Plug in the given values into the formula and solve for h:
[tex]340.2=\pi (5)^{2} \frac{h}{3}[/tex]
[tex]340.2=\pi (25)\frac{h}{3}[/tex]
[tex]\frac{340.2}{25\pi } = \frac{25\pi\frac{h}{3} }{25\pi }[/tex]
[tex]42.75=\frac{h}{3}[/tex]
[tex]42.75(3)=\frac{h}{3} (3)[/tex]
[tex]128=h[/tex]
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. A square labeled 16 x squared minus 40 x + 25 What is the side length, in inches, of the pet shop sign?
Answer:
length of side of square = (4x - 5) inches
Step-by-step explanation:
We are given;
Area of square = 16x² – 40x + 25
Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a
Thus;
x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)
x = [40 ± √(1600 - 1600)]/32
x = (40 ± 0)/32
x = 40/32
x = 5/4
Thus, the factors of the polynomial are;
(4x - 5)²
So,
Area = 16x² – 40x + 25 = (4x - 5)²
Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches
Use the multiplier method to increase £88 by 14%
Answer:
£100.32
Step-by-step explanation:
£88 + 14% × £88 = £88
= 1.14×£88
= £100.32
Answer:
£100.32Step-by-step explanation:
[tex]88 \times \frac{14}{100} = 12.32[/tex]
so,
[tex]88 + 12.32 = 100.32[/tex]
hope this helps you
A square has a side that measures 5.5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3.14 for π, and round your answer to the nearest hundredth. 38.47 units2 94.99 units2 153.86 units2 379.94 units2
Answer:
Answer choice A) About 38.47 square units
Step-by-step explanation:
Since all four sides of a square have the same length, the perimeter of a square is just 4 times one of the side lengths. The perimeter of the square and therefore the circumference of the circle is 5.5*4=22. The circumference of a circle is 2 times the radius multiplied by pi. The radius of this circle is therefore:
[tex]\dfrac{22}{2\pi}\approx 3.503[/tex]
Since the area of a circle is [tex]\pi r^2[/tex], the area of this circle is:
[tex]\pi \cdot 3.503^2= 3.14\cdot 12.271\approx 38.47[/tex]
Hope this helps!
The area of a circle with a circumference that equals the perimeter of the square is about 38.47 square units
Since all four sides of a square have the same length, the perimeter of a square is just 4 times one of the side lengths.
The perimeter of the square and therefore the circumference of the circle is [tex]5.5*4=22.[/tex]
The circumference of a circle is 2 times the radius multiplied by pi. The radius of this circle is, therefore
[tex]22/2\pi=3.503[/tex]
What is the area of the circle?The area of a circle is [tex]\pi r^2[/tex],
the area of this circle is:
=[tex]\pi \times 3.305^2[/tex]
[tex]=3.14(12.27)[/tex]
=38.47 unit^2
Thus, The area of a circle with a circumference that equals the perimeter of the square is about 38.47 square units.
To learn more about the circle visit:
https://brainly.com/question/24375372
#SPJ2
Work out the range of these numbers : -8, 6, -5, 2.5 thanks!
Answer:
14
Step-by-step explanation:
The range of a given set of values is the lowest value deducted from the highest value.
Lowest value is -8 and highest value is 6.
Therefore,
[tex]Range = Highest value - Lowest value \\ = 6 - ( - 8) \\ = 6 + 8 \\ = 14[/tex]
Hope it helps!
find hcf using division algorithm 867and 255
Answer :
By using EDL
a=bq+r
where a is > b
so a =867 and b=255
867=255×3+102
here r≠0 so a=255 and b=102
255=102×2+51
here r≠0 so a=102 and b=51
102=51×2+0
here r=0
so, Hcf of (867,255) is =51
Step-by-step explanation:
Hope it works out!!
Answer:
[tex]51[/tex]
Step-by-step explanation:
[tex]a=bq+r[/tex]
Where [tex]a > b[/tex]
[tex]867=255 \times 3+102[/tex]
[tex]255=102 \times 2+51[/tex]
[tex]102=51 \times 2+0[/tex]
Hcf of 867,255 is 51
The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).
What is an equivalent equation solved for y2?
Answer:
y2 = m(x2-x1)+y1
Step-by-step explanation:
Given the formula for finding the slope of a linear equation to be;
m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)
To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:
m = y2-y1/x2-x1
Cross multiplying
m(x2-x1) = y2-y1
mx2-mx1 = y2-y1
Adding y1 to both sides of the equation we have;
mx2-mx1 + y1= y2-y1+y1
y2 = mx2-mx1 + y1
y2 = m(x2-x1)+y1
This gives the resulting equation to solve for y2
Answer:
c
Step-by-step explanation:
edg
What is the area of the triangle given below? 2 and 6
Answer:
6 sq. units
Step-by-step explanation:
The area of a triangle is base times height divided by 2.
[tex]\frac{bh}{2}[/tex]
[tex]\frac{6 \times 2}{2}[/tex]
[tex]\frac{12}{2} =6[/tex]
Answer:
D. 6
Step-by-step explanation:
The formula for the area of a triangle is A=1/2bh. In this case, the base is 6 and the height is 2. The work is below:
A=1/2bh
A=1/2(6)(2)
A=1/2(12)
A=6
Hope this helps!!! PLZ MARK BRAINLIEST!!!
I'd greatly appreciate the help-
Answer:
The 3rd option
Step-by-step explanation:
To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.
This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent
We know that m<D=m<E
We also know that m<DCA=m<ECB because they are vertical angles.
Vertical angles are always congruent.
Therefore, the triangles are similar.
The correct similarity statement would be 1, since <D corresponds with <E.
Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.
A pair of alternate interior angles would be <D and B or or <E and <A
There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.
Hence, the correct choice would be 1 only.