Answer:
Value of k is 9
Step-by-step explanation:
-2x + 8 = -10
-2x = -10 - 8
-2x = -18
x = -18/-2
x = 9
f(x) = f(k)
x = k
9 = k
Hello there!
We are given the function:
[tex] \displaystyle \large{f(x) = - 2x + 8}[/tex]
We want to find the value of k. First, we know that f(k) is -10. We substitute x = k and f(x) = -10.
[tex] \displaystyle \large{f(k) = - 2k + 8} \\ \displaystyle \large{ - 10 = - 2k + 8}[/tex]
Solving the equation. First, we subtract both sides by 8.
[tex] \displaystyle \large{ - 10 - 8 = - 2k +8 - 8} \\ \displaystyle \large{ - 18 = - 2k} \\ [/tex]
Divide both sides by -2.
[tex] \displaystyle \large{ \frac{ - 18}{ - 2} = \frac{ - 2k}{ - 2} } \\ \displaystyle \large{ 9= k}[/tex]
Therefore, k = 9
When we substitute k = 9 in f(k), the value is -10.
Let me know if you have any questions!
Topic: Linear Function
When the fraction below is written as a decimal, how many digits are in the smallest sequence of repeating digits?
A. 0
B. 1
C. 2
D. 3
Answer:
2 repeating digits
Is -15/6 a real number?
A regular square-based pyramid has a surface area of 33 m2. If its triangular faces have an area of 6 m2, what is the length of the base of the pyramid?
Answer:
First we can do 33 time 6
Step-by-step explanation:
The length of the base of the pyramid is 3 meters.
What is a square pyramid?A pyramid is a polyhedron that has a base and 3 or greater triangular faces that meet at a point above the base. A square pyramid is a pyramid with a square base, four triangular sides, five vertices, and eight edges.
For the given situation,
The surface area of the pyramid = 33 m^2
Area of triangular faces = 6 m^2
Let the base of the pyramid be b and the height be h.
The formula of area of triangle is
[tex]A = \frac{1}{2}(b)(h)[/tex]
⇒ [tex]6 = \frac{1}{2}(b)(h)[/tex]
⇒ [tex]6(2) = (b)(h)[/tex]
⇒ [tex]12 = (b)(h)[/tex]
The formula of surface area of square pyramid is
[tex]SA = b^{2}+2bh[/tex]
⇒ [tex]33=b^{2} +2(12)[/tex]
⇒ [tex]33-24=b^{2}[/tex]
⇒ [tex]b=\sqrt{9}[/tex]
⇒ [tex]b=3[/tex]
Hence we can conclude that the length of the base of the pyramid is 3 meters.
Learn more about square pyramid here
https://brainly.com/question/22645991
#SPJ2
Kevin's monthly bank statement showed the following deposits and withdrawals:
$55.40, – $97.14, $105.83, – $50.48, – $29.07
If Kevin's balance in the account was $16.91 at the beginning
of the month, what was the account balance at the end of the
month?
Answer:
$33.64
Step-by-step explanation:
That's the outcome of the math
Can someone help me it’s due today!
Answer:
Y is less than or equal to -1, or negative infinity to -1
Step-by-step explanation:
The range is which y values are included. The line extends forever getting lower in y values, and the highest y value is -1. You can either write it as { y | y[tex]\leq[/tex] -1 } or ( -∞, -1]
helpppppoo lol anyways ♀️♀️♀️♀️
Answer:
Range = 5
Mode = 7
Step-by-step explanation:
To find range we first need to find the highest number and the lowest number
3 , 4 , 4 , 7 , 7 ,7 ,7 7, 8
least number = 3
highest number = 8
now substract the lowest number from the highest to get the range
= 8-3
= 5
range = 5
Mode : the most common number in the list will be our mode
7 is our mode as it came 5 time in the list
which equation represents the relationships between x and y
Answer:
y = x + 3
Hope it helps!!!!
Let y=|x|-2, where the domain is the set of integers from – 4 to 4.
What is the range?
i dont know i wish I could help.
Answer:
-2 to 2
Step-by-step explanation:
see there's the sign of absolute value around x
so even if we put a negative number in place of x we'll get a positive outcome.
for example,
if x = -4|x| = 4
if x = -3|x| = 3
and so on
so the actual domain of |x| reduces to => 0 to 4.
as you'll get the values of |x| in between 0 and 4 throughout -4 to 4.
where the smallest value is 0 and largest is 4.
for range,
I'll just put these smallest and largest values in place of x and solve for domain
at x = 0y= |0| - 2
y = -2
at x = 4y = |4| - 2
y= 4 - 2
y = 2
so, the range of the function becomes -2 to 2.
Solve each inequality.
-6 + 2a ≥ 22 OR 10 + 3a ≤ 22
PLS HELP I'M STUCKKKK! :) WILL MARK BRAINLIEST! :)
Answer:
A
Step-by-step explanation:
Post in a bit
[tex]f(x)=x^{4} -x^{3} -7x^{2} +10+5x[/tex]
1. write in standard form
2. use Descartes rule of sign
3. possible roots
4. first synthetic division
5. reconsider possible roots
6. second synthetic division
7. quadratic equation
8. solution set
for the equation Y= 2(x+4)-3 what ordered pair what are used to start a graphing PLEASEEEE HELP
Answer:
(4,-3)
Step-by-step explanation:
-8<8-4r<8
Solve the compound inequality
Answer:
0<r<4
Step-by-step explanation:
-8<8-4r<8
Subtract 8 from each side
-8-8<8-4r-8<8-8
-16<-4r<0
Divide by -4, remembering to flip the inequality
-16/-4>-4r/-4>0/-4
4>r>0
Rewriting
0<r<4
Are -3/5 and -0.4 equal
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Are -3/5 and -0.4 equal ?[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Okay so, to solve this question we need to convert -3/5 to its decimal form.[tex] \large \sf - \frac{3}{5} = - 0.6 \\ [/tex]We can see that - 3/5 is equal to - 0.6 which is not equal to -0.4.So, - 3/5 & - 0.4 are not equal.Hey there!
Convert the fraction to decimals.
-3/5 = -0.6
-0.6 < -0.4
Hence, -3/5 is not equal to -0.4.
Answer = NO
Hope it helps ya!
Determine whether f(x) = -5x^2+ 3x + 4 has a maximum or minimum.
solve for x
-2^2(-5x+10)=100
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Hi there!
[tex]-2^2(-5x+10)=100[/tex]
Solve -2^2:
[tex]-4(-5x+10)=100[/tex]
Divide both sides by -4:
[tex]\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25[/tex]
Subtract 10 from both sides:
[tex]-5x+10-10=-25-10\\-5x=-35[/tex]
Divide both sides by -5:
[tex]\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7[/tex]
Therefore, x = 7.
I hope this helps!
can u guys help 100pts
Answer:
1 line
Step-by-step explanation:
1 line
Answer:
1 line
Step-by-step explanation:
46°
Х
x
X =
degrees.
Answer:
x = 67 degrees
Step-by-step explanation:
180 = 46 + x + x
180 = 46 + 2x
180 - 46 = (46 - 46) + 2x
134 = 2x
134/2 = 2x/2
x = 67
Answer:
x=67°
Step-by-step explanation:
6300/90???? PLS helpppp
Answer: 70
Step-by-step explanation: 6300/90=70 Brainliest please?
a^15/a^5=a^10 true or false
Answer:
true
Step-by-step explanation:
a^15 ÷ a^5 = a^10
a÷a = a
15- 5 =10
give brainliest please I need it to level up
Answer:
True
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]\frac{a^{15} }{a^{5} }[/tex]
= [tex]a^{(15-5)}[/tex]
= [tex]a^{10}[/tex]
What is the simplest form of 56\92?
28/46
16/27
9/16
14/23
three times the sum of a number and six
3(x=6)
3(x-6)
3(x+6)
3x+6
Answer:
3(x+6)
Step-by-step explanation:
Parenthesis after a number typically means multiply, so 3 times the sum of an unspecified number (x), plus 6 would be 3 (x+6)
Find the perimeter. Simplify your answer.
у
3y-8
y + y + (3y - 8) =
= y + y + 3y - 8 = 5y - 8 ← the end
Answer: 5y-8
Step-by-step explanation: y+y+3y-8= 5y-8
find the measure of the angle and name the angle pair
1.) x+69 and x+121
2.) 8x+2 and 9x-9
solve for x and name the angle pair
3.) 115* and x+125
4.) 120* and x+127
5.) x+106 and 103*
6.) 11x+6 and 50*
7.) 11x+3 and 10+10x
8.) x+105 and 100*
9.) -7+17x and 16x
10.) 18x+2 and 19x-4
Answer:
write in the correct form please!
Jim is 18 years older than Taylor. Andre is twice as old as Taylor. The sum of their ages is
26. How old is Taylor?
Answer:
2
Step-by-step explanation:
Taylor: x
Jim: x + 18
Andre: 2x
Sum: x + (x + 18) + 2x = 26 ↔ x = 2
plzz help Add 4.2+(-0.4)
plot the first addend and then the sum on the number line
Answer:
put a dot on the knot after the 4 that represents 4.2 then place the dot at the knot right before 4 that represents the 3.8. each knot is moving up or down by 2.
Step-by-step explanation:
hopes this helps also branly please
We must create a number line and draw an arrow for each term of the sum.
The procedure is now described:
1) Create a number line with big marks for each unit and small marks for each tenth.
2) Draw an arrow from 0 to 4.2. (Blue arrow in the figure)
3) Create an arrow from 4.2 to 3.8. (Green arrow in the figure)
[tex]x = 4.2 + (-0.4)[/tex]
[tex]x = 3.8[/tex]
A step-by-step representation of the number line is presented in the figure attached below.
We kindly invite to check this question on number lines: https://brainly.com/question/1889174
A line includes the points (1, 1) and (2, 9). What is its equation in slope-intercept form?
Answer:
[tex]y=\frac{8x}{1}-7\\[/tex]
Step-by-step explanation:
(1,1) and (2,9)
[tex]\frac{9-1}{2-1}[/tex] =[tex]\frac{8}{1\\}[/tex]
(2,9) and (x,y)
[tex]\frac{y-9}{x-2} =\frac{8}{1} \\\\1(y-9)=8(x-2)\\\\\frac{1y}{1}-\frac{9}{1}=\frac{8x}{1}-\frac{16}{1}\\\\y=\frac{8x}{1}-16+9\\y=\frac{8x}{1}-7[/tex]
Consider the pattern:2; 5; 8; 11; ......... Write down the next two terms
Describe the rule in your own words
Write down the general rule algebraically. Use your rule to work out the position of term 119 in the pattern.
Answer:
356
Step-by-step explanation:
Next two terms = 11 + 3 = 14
14 + 3
The rule is that the number is increasing by 3 in each term.
n th term = 2 + (n - 1)3
119 term
2 + (119 - 1)3
2 + (118)3
2 + 354
356
Answer:
256Explanation:
plzzzz helppppppppppppppppppppppp
Answer:
42.85 or 43 percent
Step-by-step explanation:
16 + 12 = 28
12/28 = x/100
12(100) = 28x
1200 = 28x
1200/28 = 28x/28
x = 42.85
What is 6*10^-5-4*10^-6
Answer:
0.000056
Step-by-step explanation:
[tex] \\ 6 \times {10}^{ - 5 } - 4 \times {10}^{ - 6} [/tex]
[tex] \\ \longrightarrow6 \times \frac{1}{ {10}^{5} } - 4 \times \frac{1}{ {10}^{6} } [/tex]
[tex] \\ \longmapsto6 \times \frac{1}{ 100000 } - 4 \times \frac{1}{1000000}[/tex]
[tex] \\ \longmapsto0.00006 - 0.000004[/tex]
[tex] \\ \longmapsto0.000056[/tex]
