Answers
Answer:
[tex]\huge\boxed{\sf x = \pm \sqrt{7} }[/tex]
Step-by-step explanation:
Given function:
[tex]f(x)=x^2-7[/tex]
We can also write it as:
[tex]y =x^2-7[/tex]
x-intercept is the point where y = 0
Put y = 0 in the above equation
[tex]0=x^2-7\\\\Add \ 7 \ to \ both\ sides\\\\7 = x^2\\\\Take \ sqrt \ on \ both \ sides\\\\\pm \sqrt{7} =x\\\\x = \pm \sqrt{7} \\\\\rule[225]{225}{2}[/tex]
Related Questions
FIND RQ! Show work :)
Answers
RQ= 52/2
RQ=26
Coach Bennet’s high school basketball team has 14 players, consisting of six juniors and eight seniors. Coach Bennet must select three players from the team to participate in a summer basketball clinic.
To choose the three players fairly, Coach Bennet decides to set up a free throw contest. The three players who make the most consecutive free throws will get to go to the summer basketball clinic.
How many different orders of top-three finishers are possible?
Drag the tiles to the correct locations on the equation. Not all tiles will be used.
Answers
Answer:
nCr = 14!/3!11! =364
Step-by-step explanation
If f(x) = 6x-6, find x when f(x) = 36.
Answers
Answer:
x=7
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
given f(x) = 6x - 6 and f(x) = 36 , then equating gives
6x - 6 = 36 ( add 6 to both sides )
6x = 42 ( divide both sides by 6 )
x = 7
If x = -3 and y = -5, what does 3x - 2y equal???
Answers
Step-by-step explanation:
3x-2y
3*(-3)-2*(-5)
-9+10
1
3(-3) - 2(-5)
-9 + 10
1
How much greater is TR(300) than TR(299)
Answers
Answer:
300
Step-by-step explanation:
TR(n)= n*(n+1)
2
TR(300)=300*(300+1)
2
TR(299)=299*(299+1)
2
45150-44850=300
One way to solve is to find TR(300) and TR(299) and then find the difference in between them.
Which number sentence is not true?
A. |-4.5| = 4.5
B. |0| < |-45|
C. |45| > 0
D. |4.5| > |-45|
Answers
Answer:
D is not true.
Step-by-step explanation:
[tex] |4.5| = 4.5[/tex]
[tex] | - 45| = 45[/tex]
[tex]4.5 \leqslant 45[/tex]
(05.01 LC)
NEED HELP ASAP ILL MARK BRAINLIEST IF CORRECT
What is the slope of the line segment?
1/4
-1/4
4
−4
Answers
Answer:
We can tell by looking at the graph that it is a positive slope, so we can eliminate answers b and d.
It is rise over run. from a point, it goes up 4, and over 1.
4/1
which would be 4. The answer is C! Hope this helps!
Step-by-step explanation:
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's consider two points on the line and calculate its Slope ~
(4 , 1)(8 , 2)Slope (m) of a line is :
[tex]\qquad \sf \dashrightarrow \: m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]\qquad \sf \dashrightarrow \:m = \dfrac{2 - 1}{8 - 4} [/tex]
[tex]\qquad \sf \dashrightarrow \:m = \dfrac{1}{4} [/tex]
(9x^2+5x^2+11x)+(-2x^3+9x-8x^2)
Answers
Answer:
First step is to remove those unnecessary brackets :[tex] \longrightarrow\tt \: 9 {x}^{3} + 5 {x}^{2} + 11x - 2 {x}^{3} + 9x - 8 {x}^{2} [/tex]
Combine the like terms :[tex] \longrightarrow \tt \: 9 {x}^{3} - 2 {x}^{3} + 5 {x}^{2} - 8 {x}^{2} + 11x + 9x[/tex]
[tex] \longrightarrow \boxed{\tt \: 7 {x}^{3} - 3 {x}^{2} + 20x}[/tex]
Our final answer is 7x^3 - 3x^2 + 20x .--------- HappY LearninG <3 --------
13. 12, 16, *, 20 Find the missing
Answers
Please help ASAP! Solve for 4
Answers
Explanation: 180-58-61=149
Find the surface area of a right cone with a radius of 3 meters and a slant height of 5 meters.
Answers
The surface area of the right cone with a radius of 3 meters and a slant height of 5 meters is 47.1 m².
What is surface area?
To calculate the surface area of the cone, we use the formula below.
Formula:
A = πrl.............. Equation 1Where:
A = Surface area of the coneπ = Piel = Slight HeightFrom the question,
Given:
l = 5 metersr = 3 metersπ = 3.14Substitute these values into equation 1
A = 3.14×5×3A = 47.1 m²Hence, The surface area of the right cone is 47.1 m².
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what is the surface area of the green shapes there all the same
Answers
Answer:
I believe the answer is 10
Step-by-step explanation:
4x5 is 20 divided by 2 is 10. I hope you find this as helpful and correct, I am sorry if I am wrong.
There are two numbers, and one is 7 more than twice the other. The sum of the numbers is 3. What are the numbers? And what is the equation?
Answers
Answer:
2x + 7 = 3
2x = 3 - 7
2x = -4
2x/2 = -4/2
x= -2
Therefore the numbers are -2 and 7.
Verify (x-2) is a factor
of Q(x)=x²-3x²-4x+12
Answers
Answer:
(x - 2) is not a factor of Q(x)
Step-by-step explanation:
if (x - h) is a factor pf f(x) then f(h) = 0
if (x - 2) is a factor of Q(x) then Q(2) = 0
Q(2) = 2² - 3(2)² - 4(2) + 12
= 4 - 3(4) - 8 + 12
= 4 - 12 + 4
= - 8 + 4
= - 4
since Q(2) ≠ 0 then (x - 2) is not a factor of Q(x)
However , if the polynomial was meant to be
Q(x) = x³ - 3x² - 4x + 12 , then
Q(2) = 2³ - 3(2)² - 4(2) + 12
= 8 - 12 - 8 + 12
= 0
then (x - 2) is a factor of Q(x) = x³ - 3x² - 4x + 12
What is the length of the unknown leg of
the right triangle rounded to the nearest
tenth of a meter?
11 m
?
42.8 m
Answers
Answer:
The length of the unknown leg is 5.66 yards
Step-by-step explanation:
[tex]Hypotenuse^2=opposite^2-adjacent^2[/tex]
[tex]Hyp^2=opp^2+adj^2[/tex]
[tex]Hyp=\sqrt{42.8}[/tex] [tex]yards[/tex]
[tex]Opp=\sqrt{11}[/tex] [tex]yards[/tex]
[tex]Adj=?[/tex]
[tex]Adj^2=Hyp^2-opp^2[/tex]
[tex]=(\sqrt{42.8} )^2-(\sqrt{11} )^2[/tex]
[tex]=42.8-11[/tex]
[tex]=31.8[/tex] → [tex]32[/tex]
[tex]Adj^2=32[/tex]
[tex]Adj=\sqrt{32}[/tex]
= 5.66 yards
Factor using the greatest common factor.
6x^4 + 15x^2 + 24x
show work.
Answers
Answer: [tex]3x(2x^{3} + 5x + 8)[/tex]
Step-by-step explanation:
[tex]6x^{4} + 15x^{2} + 24x[/tex]
↓
[tex]3x(2x^{3} + 5x + 8)[/tex]
The factored expression is 3x(2x³ + 5x + 8).
To factor the expression 6x⁴ + 15x² + 24x using the greatest common factor (GCF), we first need to identify the common terms or factors that can be factored out from each term.
Step 1: Find the GCF of the coefficients (numbers).
The GCF of 6, 15, and 24 is 3.
Step 2: Find the GCF of the variables (x terms).
The GCF of x⁴, x², and x is x.
Step 3: Combine the GCF of the coefficients and variables.
The GCF of the entire expression is 3x.
Now, factor out 3x from each term:
3x * (2x³ + 5x + 8)
The factored expression is 3x(2x³ + 5x + 8).
Learn more about factor here
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Why is Dexter’s claim incorrect? 8-4 Additional practice
Answers
By talking to his baby sister differently from the way he speaks to his teacher, this shows that he is developing an understanding of pragmatics.
What is pragmatics?This can be used to explain the part of linguistics that has to do with the use of language in its given context.
The use of pragmatics comes up in conversations, and implications of what is being said.
Read more on pragmatics here:
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What is the area of the trapezoid shown below?
Answers
Answer:
78 sq. units
Step-by-step explanation:
1/2 × (7+19) × 6 = 78
Subtract 59.05 from 70.00
Answers
Answer:
-10.95 hope it helps so yeah and if it's wrong sorry
Answer:
10.95
Step-by-step explanation:
When solving a problem like this you can just take the decimals then add then back at the end for example. ...
7,000
-
5,905
_______
1,095
Then, add the decimal back in its original spot to give you 10.95
Hope this helps!
Guys what is the volume formula called for this please ?
Answers
Answer:
Total Area = 24830.437[tex]m^{3}[/tex]
Step-by-step explanation:
This will be using different AREA formula to find the inner area amount
The image is color coded to each shape area
Let me know if you have any questions !
Hope this helps :)
write y=x^2-6x+17 in vertex form. step by step
Answers
Step-by-step explanation:
the general vertex form is
y = a(x - h)² + k
with (h, k) being the vertex.
after doing all the multiplications we get
y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k
our original equation is
y = x² - 6x + 17
and now we simply compare the cording parts :
ax² = x²
a = 1
-2ahx = -2hx = -6x
-2h = -6
h = -6/-2 = 3
ah² + k = 17
3² + k = 17
9 + k = 17
k = 8
so the vertex form is
y = (x - 3)² + 8
how do I answer this question
Answers
Answer:
x = 4
Step-by-step explanation:
-x + 6 = 0.5x
1.5x = 6
x = 4
can someone help me?
2x-3y= -1
y=x-1
Answers
Explanation:
Picture
Find x if f(x)=2x-7 and f(x) = 18.
Answers
Answer:
x = 12.5
Step-by-step explanation:
f(18)=2x-7
18+7=2x
25=2x
x=12.5
Give brainiest please!
Hope this helps :)
HURRY ITS URGENT!!!!
9. If the equation (x+a)?=b has non-real solutions where a and b are real
numbers, which of these must be true?
A b-a is not a perfect square
B.
bis not a perfect square
C. b-aco
D. b <0
Answers
need this answered ASAP
type the correct answer in the box.
Mitten crabs are an invasive species in North America. A coastal ecosystem has a population of 320 mitten crabs. The population is predicted to increase by 50% per year. The population will reach an estimated 1,620 crabs in ___ years.
Answers
Answer:
10 1/8 years?
I hope this is right!
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation:
A triangle has vertices v (3, 6), n (8,1), and h (1, -1. click on each blank to select a word or phrase to complete the sentence. triangle vnh is because the lengths of are
Answers
The triangle VNH is an isosceles triangle because the lengths of sides VH and NH are congruent
How to determine the type of triangle?The coordinates are given as:
V = (3,6)
N = (8,1)
H = (1,-1)
Calculate the distance between each point using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]VN = \sqrt{(8 -3)^2 + (1 -6)^2}[/tex]
[tex]VN = \sqrt{50}[/tex]
[tex]VH = \sqrt{(1 -3)^2 + (-1 -6)^2}[/tex]
[tex]VH = \sqrt{53}[/tex]
[tex]NH = \sqrt{(8 -1)^2 + (1 +1)^2}[/tex]
[tex]NH = \sqrt{53}[/tex]
Notice that two sides of the triangle are equal.
Hence, the triangle VNH is an isosceles triangle
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The solution (-4,0) is a solution to which of the following equations? How do you know?
a)3y-x=4
b)10x+1/2y=3
c)-2x-3y=-4
d)-6x+2y=24
Answers
Answer:
Correct option is A)
If the solutions to the equations are 8 and −4, the factored form of the equation is : (x−8)(x+4)=0
Use FOIL to find the quadratic form: x
2
−4x−32=0. Therefore, the correct equation is (A)
Step-by-step explanation:
What do you think?
Don't forget to follow narin ty
In a pet store there are a total of 25 animals 15 of the animals are dogs term is the ratio of animals that are not dogs to the total animals in the store explain the reasoning
for your answer
Answers
Answer:
25.15
Step-by-step explanation:
the 25 comes before the 18 in the sentence. super easy
PLEASE HELP ANSWERING THE QUESTIONS ILL GIVE BRAINLIEST OR WHATEVER
Answers
Answer:answer to 9:$1,025.00 answer to 10:$243.90 answer to 11:$1,025.15
Step-by-step explanation:
explanation to 9:First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 500(1 + (0.07 × 15)) = 1025
A = $1,025.00
The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.00.explanation to 10:First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
P = 500 / ( 1 + (0.07 × 15)) = 243.90243902439
P = $243.90
The principal investment required to get a total amount, principal plus interest, of $500.00 from simple interest at a rate of 7% per year for 15 years is $243.90. explantion to 11:First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 500(1 + (0.07 × 15)) = 1025
A = $1,025.00
The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.25.