Answer:
[-8, ∞)Step-by-step explanation:
Given function:
f(x)=x² + 8x + 8This is a quadratic function with positive leading coefficient, therefore it is an increasing function with its minimum at vertex. It has no maximum value.
The vertex is at x = -b/2a:
x = -8/2 = -4The minimum value is:
f(-4) = (-4)² + 8(-4) + 8 = 16 - 32 + 8 = -8The range of the function is:
[-8, ∞)f(x)=x^2+8x+8
Find vertex to x[tex]\\ \sf\longmapsto \dfrac{-b}{2a}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-8}{2(1)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-8}{2}[/tex]
[tex]\\ \sf\longmapsto -4[/tex]
Find value of function at -4[tex]\\ \sf\longmapsto f(-4)[/tex]
[tex]\\ \sf\longmapsto (-4)^2+8(-4)+8[/tex]
[tex]\\ \sf\longmapsto 16-32+8[/tex]
[tex]\\ \sf\longmapsto -16+8[/tex]
[tex]\\ \sf\longmapsto -8[/tex]
The range is
[tex]\\ \sf\longmapsto (8,\infty)[/tex]
which of the following is equivalent to 7x+5<-2(4x-3)
x>11
-x<1
15x<-11
15x<1
Answer:
7x+5< -8x+6
=15x<1
The equivalent inequality is 15x<1. Therefore, option D is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is 7x+5<-2(4x-3).
Now, 7x+5<-8x+6
Subtract 5 on both the sides of an inequality, we get
7x<-8x+1
Add 8x on both the sides of an inequality, we get
7x+8x<1
15x<1
Therefore, option D is the correct answer.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
#SPJ2
11. Which of the following equations has NO
solution?
A. a +2=a+2
B. a=-a + 2
C. a + 2 = a-2
D. a + a=2
HEELPP:(
Answer:
a + 2 = a-2
step-by-step explanation
Plz explain step by step
Step-by-step explanation:
a=20⁰ vertically opposite angles are equal
b=160⁰ sum of angles on a straight line add up to 180⁰
(180⁰-20⁰=60⁰)
c=125⁰ sum of angles on a straight line add up to 180⁰
(180⁰-35⁰-20⁰=125⁰)
In the word problem below, what answer or solution are you being asked to
find?
STEP 2: PLAN
The entire school, 250 students, went to the soap
box derby. The Math Club went in 2 vans, and
each van held 6 students. How many students
from the Math Club went to the soap box derby?
O A. 6-2=?
O B. 6 + 2 = ?
O C. 6 x 2 = ?
O D. 6 - 2 = ?
Answer:
the answer is C 6x2 .....................
Will mark as brainliest!
Answer:
[tex]f=12-\frac{t}{20}[/tex]
Step-by-step explanation:
A pole that is 2.8 m tall casts a shadow that is 1.46 m long. At the same time, a nearby building casts a shadow that is 50.25 m long. How tall is the building?
Round your answer to the nearest meter.
Answer:
96 m
Step-by-step explanation:
Create a proportion where x is the height of the building:
[tex]\frac{2.8}{1.46}[/tex] = [tex]\frac{x}{50.25\\}[/tex]
Cross multiply and solve for x:
1.46x = 140.7
x = 96
So, the height of the building is approximately 96 m tall
plesae helpsonnnnn okkkkk
Answer:
the first one at the top left
using the distributive property to expand each expression 10(x+5)
[tex]\boxed{\sf a(b+c)=ab+bc}[/tex]
[tex]\\ \rm\longmapsto 10(x+5)[/tex]
[tex]\\ \rm\longmapsto 10x+10(5)[/tex]
[tex]\\ \rm\longmapsto 10x+50[/tex]
Line R is represented by the equation y=-2x+7 and Line Z is represented by the equation y=3x-3. At what point will line R and line Z intersect?
Answer:
I am confused!
Answer:
you just solve by doing equation 1&2 i guess the answer will come
expand
64 - 16 [tex]a^{2}[/tex]
Step-by-step explanation:
Remember the formula a^2-b^2=(a-b)(a+b)
if 2x°and 3x°are adjacent angles in linear pair and find them
Step-by-step explanation:
2x°+3x°=180°[ sum of adjacent angle]
or,5x°= 180°
or,x°= 180°/5
x°=36°
2x°= 2× 36°= 72°
3x°= 3 × 36°= 108°
what is the unit rate of 1/7 and 1/21 ? this is very confusing?
Answer:
the unit rate of 1/7 is itself (1/7), and for 1/21 is 1/21.
Step-by-step explanation:
this is because these rates/ratios are unit fractions. so if the numerater is 1, theres nothing you can do to simplify it.
you can check with the ceaser method as well, but you're still going to find the same solution.
plus, for example, if it takes 7 grams of sugar to make 1 cake, it wouldnt make sense for 1 gram of sugar to make 7 cakes.
hope this helped clear up your confusion <3
Compare 9/10 or 90percent'
Step-by-step explanation:
9/10
=0.9
90%
=90/100
=0.9
Hence, 9/10 = 90 %
Find the number of faces, edges, and vertices of this shape.
Help ASAP, thanks!
How do the slopes of lines that are perpendicular to each other compare?
Answer:
they create 90* angles on the graph
Use the number line to answer the question. Each tick represents 1 unit.
Describe the location of point K.
four more than M
three more than L
seven less than N
two less than J
Please be fast!!
Answer and Step-by-step explanation:
Essentially, you are describing the position of point K using the location of the other points on the graph.
Let's start listing some descriptions:
K is:
3 more than H
2 more than J
3 less than L
4 less than M
7 less than N
12 less than P
Now look at the answer choices and compare it to what we wrote.
We see that the answer choices A, B, and D are incorrect (based on what we wrote), and that answer choice C is correct.
[C. 7 less than N] is the correct answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Answer: LESS THAN FOUR
Step-by-step explanation:
15) A small rectangular block of land has a perimeter of 100 m and an area of 225 m². Find the dimensions of the block of land.
Answer:
45 and 5 are the dimensions of the block of land.
Step-by-step explanation:
2(x + y) = 100, x + y = 100/2, y = (50 - x)
xy = 225
x (50 — x) = 225
0 = x^2 — 50x + 225
0 = (x — 45) (x -5)
45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.
Devon wants to write an equation for a line that passes
through 2 of the data points he has collected. The points
are (8, 5) and (-12, -9). He writes the equation
7x-10y=3. Is this a
reasoning.
good model? Explain your reasoning.
Answer:
7x-10y=6
Step-by-step explanation:
Firstly, supervise 7x-10y=3 using the coordinates of one from the known points
7*8-10*5=3
6=3 It is not correct, so the equation is uncorect
Find the correct equation
The common equation is y=mx+b
5=8m+b
-9=-12m+b
Both equations are simultaneous.
-9-5= -12m+b- (8m+b)
-14=-20m
m=0.7
b=5-5.6=-0.6
y=0.7x-0.6
0.7x-y=0.6
7x-10y=6- the correct answer
A sandwich costs 3.05 British
pounds: :
If a British pound is worth $1.56 in U.S.
currency, how much does the sandwich
cost in U.S. dollars?
[ill give brainliest if u explain how to work it out :) ]
can you pretty please solve this math equation for me 5+2=4
Truck driver drove 48 miles in 45 minutes , at this rate how many miles can he drive in 1 hour
Answer:
64 miles
Step-by-step explanation:
Find the midpoint of the line segment from (-4,-3) to (3,3)
Answer:
It is (-0.5, 0)
Step-by-step explanation:
Mid-point formular:
[tex]{ \bf{midpoint = (\frac{x_{1} + x _{2} }{2} , \: \frac{y_{1} + y_{2} }{2}) }}[/tex]
x1 is -4
x2 is 3
y1 is -3
y2 is 3
[tex]{ \sf{ = ( \frac{ - 4 + 3}{2} , \: \frac{ - 3 + 3}{2}) }} \\ \\ { \sf{ = ( - \frac{1}{2} , \: \frac{0}{2}) }} \\ \\ = { \sf{( - 0.5, \: 0)}}[/tex]
Find the slope of the line passing through the points (-5, 3) and (7, 9)
Answer:
For any two points (a,b) and (c,d) ,
the slope of the line is (d-b)/(c-a)
plug in your given values, let me know what you get
Step-by-step explanation:
12/5= 3/x
What is the value of x
Answer:
[tex] \frac{12}{5} = \frac{3}{x} \\ 12 \times x = 5 \times 3 \\ 12 x = 15 \\ x = \frac{15}{12} \\ = 1.25[/tex]
i hope it helped U
stay safe stay happy
Pls Help…
11 Alicia buys a car that costs $26610, and she makes a $3140 down payment on it. How much
does she still owe on the car? Give units.
Answer:
$23,470
Step-by-step explanation:
A down payment is how much you pay upfront for a car. So, how much she still owes will be the difference between the total cost and the down payment. Therefore, subtract $3,140 from $26,610; 26610-3140=23470. Then, since you are talking about money the units are dollars, $.
which integer is less than -2
a. -6
b. 0
c. 2
d. 6
Answer:
A
Step-by-step explanation:
-6 its because -6 if you see those numbers 0,2,6 are the great.
913,256 write the digit in the ten thousands place
Answer:
1 is in the ten thousands, also know as 10,000
"the sum of a number and 4."
Answer:
The sum of a number and 4 is
n + 4.
Without the value of n, nothing more can be said
Answer:
n + 4
Step-by-step explanation:
Let the number be n
Then we add ("sum up") n and 4 together.
n + 4
15. x = 27 + 10 P. _; PQ = 12 •R 1 + 18
Answer:
5
Step-by-step explanation:
Solve this problem, and identify the percent, amount, and base.
What percent of
60is15 ?
Answer:
9
Step-by-step explanation:
60 is 15=9