Answer:
B. EF
Step-by-step explanation:
The triangle above is a right triangle, these consist of 2 legs and a hypotenuse. The hypotenuse is always the longest side so EF is the answer.
Find all the real zeros
f(x)=-2x^2-6x-1
Answer:
Step-by-step explanation:
real zeros -----> where f(x) = 0
[tex]-2x^{2} - 6x - 1 = 0\\[/tex] * (-1)
[tex]2x^{2} + 6x + 1 = 0\\[/tex]
Δ = [tex]6^{2} - 4 * 2 * 1[/tex] = 36 - 8 = 28
vΔ = 2[tex]\sqrt{7}[/tex]
x' = [tex]\frac{-6 + 2\sqrt{7} }{2 * 2} = \frac{-6 +2\sqrt{7} }4}[/tex]
x'' = [tex]\frac{-6 - 2\sqrt{7} }{2 * 2} = \frac{-6 -2\sqrt{7} }4}[/tex]
please help with question tagged below. thank you
Answer:
13/7, or 1 and 6/7.
Step-by-step explanation:
2 and 3/5=13/5
1 and 2/5=7/5
(13/5)/(7/5)=13/5(5/7)
65/35
13/7
Answer:
1 6/7
Step-by-step explanation:
2 3/5 ÷ 1 2/5
Change to improper fractions
2 3/5 = (5*2 +3)/5 = 13/5
1 2/5 = (5*1 +2)/5 = 7/5
13/5 ÷ 7/5
Copy dot flip
13/5 * 5/7
The 5's cancel
13/7
Change back to a mixed number
7/7 + 6/7
1 6/7
EEEEAAAASSSY LOTS OF POINTS QUICK AND ACCURATE WILL AWARD BRAINLIEST FOR QUICK ANSWER.What is the value of x in the equation 2.5 x + 10 = x minus 0.5? –7 –3 3 7
Answer: x=-7
Step-by-step explanation:
The equation we are given is 2.5x+10=x-0.5. We can use out algebraic properties to solve for x.
2.5x+10=x-0.5 [move like terms into one side by adding and subtracting]
2.5x-x=-0.5-10 [combine like terms]
1.5x=-10.5 [divide both sides by 1.5]
x=-7
a carpenter can make 30 chairs, 25 tables and 15 beds in a month. what proportion of the carpenter's output is bed.
Answer:
3/14
Step-by-step explanation:
Express the beds as a fraction of the total output.
Beds = 15
Total output = 30 + 25 + 15 = 70
Proportion that is beds = 15/70
15/70 = 3/14
What are the solutions of x^2+6x-6=10
Answer:
x=2 and x= -8
In a village the number of houses and the number of flats are in the ration9:5 the number of flats and the number pf bungalows are in the ratio 10:3 there are 30 bungalows in the village. How many houses are there in the village?
Answer: 180 houses
Step-by-step explanation:
From the question, we are informed that in a village the number of houses and the number of flats are in the ratio 9:5 while the number of flats and the number of bungalows are in the ratio 10:3 and that there are 30 bungalows in the village.
Since the ratio of the number of flats and the number of bungalows are in the ratio 10:3 and there are 30 bungalows in the village, the number of flats will be:
= 10/3 × 30
= 10 × 10
= 100 flats
Since we are told that the ratio of the number of houses to the number of flats are in the ratio 9:5 and we've gotten the number of flats as 100, then the number of houses will be:
= 9/5 × 100
= 9 × 20
= 180 houses
Prove that the sum of 3 consecutive numbers is always a multiple of 3
Proof:
3 consecutive integers are x, x+1 , x+2.
Add these values.
x+x+1+x+2
3x+3
3×(x+1)
3(x+1) is the multiple of 3 for any integer value of x.
Answer: We have proved that the sum of 3 consecutive numbers is always a multiple of 3.
Let us assume: 3 consecutive integers are x, x+1 , x+2.
Then add these values.
[tex]x+x+1+x+2\\=3x+3\\=3(x+1)[/tex]
It is the multiple of 3 for any integer value of x.
Learn more: https://brainly.com/question/12049968
Help plzz!! Can you explain how you got to the answer also & Thank you!!
Answer:
x = 4
Step-by-step explanation:
M is the midpoint of segment VW. Hence, we have MV = MW
As we can see from the picture: MV = 4x - 1 and MW = 3x + 3.
Therefore, we have an equation as below:
4x - 1 = 3x + 3
Let's move all the x-components to the left and other numbers to the right for working out x. The new equation is presented as:
4x - 3x = 1 + 3
We notice that the sign of 3x has been changed from + to -, and the sign of 1 has been changed from - to + (this is the rule used to change the sign of a number in an equation when you move that number from one side to the other side)
Now we perform the subtraction on the left side and the addition on the right side to simplify the equation. We finally get:
x = 4
This is the final answer.
I hope this helps!
f(x) = x2. What is g(x)?
f(x)
g(x)
(2.2)
15
Answer:
the answer is g (x)=2x2
Answer:g(x)= -1/2x2
Step-by-step explanation:
This is the correct answer just took the quiz
The graph of function f(x) =3x-6 is shown below.
What is the zero of the function?
A) 3
B) 2
C) -2
D) -6
Answer:
B) 2
Step-by-step explanation:
f(x) = 3x - 6
0 = 3x - 6
3x = 6
x = 2
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2. (please i need help on this)
Answer:
.
Step-by-step explanation:
Work out the area of this semicircle.Take pie to be 3.142 and give your answer to 2 decimal places 10cm
Answer:
The area of the semi circle [tex]A = 157.1 cm^2[/tex]
Step-by-step explanation:
Explanation:-
Given radius of circle 'r' = 10 cm
The area of the circle formula
[tex]A = \pi (r)^{2}[/tex]
The area of the semi circle formula
[tex]A = \frac{\pi (r)^{2} }{2}[/tex]
taking π =3.142
[tex]A = 3.142 X \frac{(10)^2}{2}[/tex]
On calculation , we get
[tex]A = 157.1 cm^2[/tex]
Final answer:-
The area of the semi circle [tex]A = 157.1 cm^2[/tex]
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
The answer is < RQO and < STV
Hope it helps
Good luck on your assignment ..
3x+4=3x+4
what is x?
All real numbers because any value of x works
i think of a number, multiply it by itself and then add 6 to the result
Answer:
x²+6
Step-by-step explanation:
Let the number be x
⇒ Multiplying it by itself makes x × x = x²
⇒ Adding 6 makes it x²+6
Answer:
[tex] {x}^{2} + 6[/tex]
Step-by-step explanation:
thinked number = x
multiply by itself = x *x
[tex]x \times x \\ = {x}^{2} [/tex]
add 6 =+6
[tex] {x}^{2} + 6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
can someone help me asap please
Answer:
- 3 ≤ x < 2
Step-by-step explanation:
The line extends from - 3 to 2
The closed circle at - 3 means x can equal - 3
The open circle at 2 means that x cannot equal 2, thus
- 3 ≤ x < 2
5
.
John, Peter and Mary shared a sum of
money in the ratio 2:4:9. John and Peter
together received $360. How much money
in all was shared?
(A) $480
(B) $540
(C) $600
(D) $900
Answer:
D
Step-by-step explanation:
Here, we want to know the total amount of money shared
Total ratio is 2 + 4 + 9 = 15
Now, John and Peter with ratios 2 and 4 equals $360
If we combine their ratios, what we have would be
6:9
Let the amount shared be x
Now, mathematically
6/15 * x = 360
6x = 15 * 360
x = (15 * 360)/6
x = $900
In the triangle below x=? Round to the nearest tenth.
Answer:
Third angle = 70 degrees
tan (70) = 10 / x
x = 10 / tan (70)
x = 10 / 2.7475
x = 3.6396724295
x = 3.6 cm (rounded)
Step-by-step explanation:
Angle EMG is equal to 120 degrees. The measure of angle EMF is 60 degrees.
What is the measure of angle FMG?
Trapezoid EFGH is given. M is the midpoint of side GH. Points E and F are joined to M to form 3 equal triangles EHM, EMF and MFG.
Answer:
[tex]\angle FMG=60^{\circ}[/tex]
Step-by-step explanation:
Given: [tex]\angle EMG=120^{\circ}\,,\,\angle EMF=60^{\circ}[/tex]
To find: [tex]\angle FMG[/tex]
Solution:
A trapezoid is a quadrilateral in which one pair of opposite sides is parallel. A trapezoid in which opposite angles are supplementary is known as an isosceles trapezoid. In any isosceles trapezoid, two opposite sides are parallel, and the two other sides are equal to each other.
Consider the figure:
[tex]\angle FMG=\angle EMG-\angle EMF\\=120^{\circ}-60^{\circ}\\=60^{\circ}[/tex]
Bill has to figure out the area of his square yard.he knows that one side of his yard is equal to the length of his garage. The dimensions of his rectangular garage are 17 by 10 what is the area of the yard ? Help!
Answer:
Area of square yard is 289 square units.
Step-by-step explanation:
Problem: find the area of yard
Given
side measure of yard is equal to length of garage.
Dimension of rectangular garage : 17 by 10
we know that rectangle consist of 4 sides with opposite of equal length.
Additionally in rectangle value of length is always greater than measure than width of rectangle.
Thus, in the given dimension 17 by 10, 17 is greater than 10.
hence length of garage is 17
this length is equal to side of square yard.
Thus, measure of yard = 17
we know area of square is given by = [tex]side^2[/tex]
thus, area of square yard = [tex]17^2[/tex] = 289
Area of square yard is 289 square units.
A force of 76 N is applied to an area of 490 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer.
Answer:
Given
Hope it helps
Step-by-step explanation:
Pressure is the force per unit perpendicular area over which the force is applied
p=F/A
Where f is force and a is area
So P
= F/A
= 76N / 0.049m2
= (76/0.049) Nm2
= 76000/49
= 1551.02
Or 1551 N/m2
Point s is not on line k. How many different planes contain both point s and line k?
[tex]the \: answer \: is \: one \\ explanation \\ there \: is \: only \: one \: such \: plane \: which \: \\ will \: have \: these \: two \: points. \: these \\ two \: points \: will \: satisfy \: only \: one \: pl - \\ ane \: equation \: because \: they \: doesnot \\ lie \: in \: a \: single \: line. \\ hope \: it \: helps[/tex]
Answer:
c
Step-by-step explanation:
one
PLEASE HELP ILL MARK YOU BRAINLIEST
Part A: Create a fourth-degree polynomial with three terms in standard form. How do you know it is in standard form?
Part B: Explain the closure property as it relates to addition of polynomials. Give an example.
Answer:
Part A: x⁴ + x³ + x²
Part B: (4·x + 2) + (-5·x + 6) = -x + 8
Step-by-step explanation:
Part A:
We note that standard form means that the terms of the polynomial are arranged in order starting from the the largest exponential of the polynomial to the smallest exponent
Therefore, we have
x⁴ + x³ + x² is a fourth-degree polynomial with three terms in standard form
It is known that the above polynomial is in standard form based on its ordered arrangement from the largest exponential to the smallest exponential
Part B:
Polynomial are closed under addition, that is when two polynomials are added only the coefficients change as the exponents and variables remain unchanged as follows;
(4·x + 2) + (-5·x + 6)
= 4·x + 2 - 5·x + 6
= 4·x - 5·x + 2 + 6
= -x + 8 which is a polynomial with the same variable and exponent.
For f(x) = 2x + 1 and g(x) = x^2- 7, find (f - g)(x). ?
Answer:
(f-g)(x)=-x^(2)+2x+8
the solutions are:
x=4 or x=-2
Step-by-step explanation:
(f-g)(x)=2x+1-(x^(2)-7)
(f-g)(x)=-x^(2)+2x+1+7
(f-g)(x)=-x^(2)+2x+8
does this help or should I solve for the zeros/solutions of this quadratic equation?
then:
-x^(2)+2x+8=0
-(x^(2)-2x-8)=0
x^(2)-2x-8=0
(x-4)(x+2)=0
x=4 or x=-2
Answer:
The required answer is: -x^2+2x+8
Step-by-step explanation:
We have been given the two function:
f(x)=2x+1
And g(x)=x^2-7
We have to find (f-g)(x):
(f-g)(x)=f(x)-g(x)
(2x+1)-(x^2-7)
2x+1-x^2+7
-x^2+2x+8
Hence, the required answer is: -x^2+2x+8
someone figure this one out
Answer:
c
Step-by-step explanation:
We see that for x≤2 y = x + 2 so the answer is C.
How to solve.
34x-21x=9+85
Answer:
7 3/13
Step-by-step explanation:
34x-21x= 9+85
13x=94
x= 94/13
x=7 3/13
i really hate maths at the moment
Answer:
80 kg
Step-by-step explanation:
[tex]x \times (1+10/100)=88[/tex]
[tex]1.1x=88[/tex]
[tex]x=88/1.1[/tex]
[tex]x=80[/tex]
Please help!
Find the product AB, if possible. Explain if it's not possible.
Answer: c
Step-by-step explanation:
When multiplying matrices, multiply ACROSS with the left matrix and DOWN with the right matrix.
[tex]\text{Example}:\left[\begin{array}{cc}a&b\\c&d\end{array}\right] \times \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}ax+by\\cx+dy\\\end{array}\right][/tex]
[tex]\left[\begin{array}{cc}5&2\\3&-1\end{array}\right] \times \left[\begin{array}{c}2\\3\end{array}\right] =\left[\begin{array}{c}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right] = \left[\begin{array}{c}16\\3\end{array}\right][/tex]
A sales girl is paid a basic wage of $225 per week. In addition she is paid a commission of 5% on the value of goods she sells. How much commission will she be paid on sales amounting to $1,525 and what is her gross wage for the week?
Answer:
Commission = $76.25
Gross wage = $301.25
Step-by-step explanation:
First, we know her commission is 5% of her sales which means the commission she will receive is;
5% * $1525
[tex]\frac{5}{100} * 1525[/tex]
= $76.25
∴ Her total wage for the week will be;
$225 + $76.25
= $301.25
If F(x)=3x^2-2 find (-3) x f (x)
Answer:
-9x²+6
Step-by-step explanation:
f(x)=3x^2-2
g(x)=(-3) x f (x)
g(x)= -3*3x²-3*(-2)= -9x²+6g(x)= -9x²+6