Write the equation representing the number of children in your family

Is (0,0) a solution of the system y>x and x+y>0?

olga55 [171]

Plug the values (x,y)=(0,0) into the inequalities:

$y\ \textgreater \ x \\
0\ \textgreater \ 0 \\
not \ true \\ \\
x+y\ \textgreater \ 0 \\
0+0\ \textgreater \ 0 \\
0\ \textgreater \ 0 \\
not \ true$

0 isn't greater than 0, no (0,0) is not a solution to either of these inequalities.

The answer is D.

8 0

2 years ago

Choose the correct answer for each of the following questions Find the y-intercept for following equation F(X)=-(X+1)^21- -12- -

devlian [24]

Solution

Find the y-intercept for following equation:

$f(x)=-(x+1)^2$

Using the slope equation formular:

$\begin{gathered} y=mx+c \\ f(x)=-(x+1)^2 \\ f(x)=-x^2-2x-1 \end{gathered}$

The value of y when x = 0

$\begin{gathered} f(0)=-0^2-2(0)-1 \\ y=-1 \end{gathered}$

Hence the answer is - 1

7 0

7 months ago

Find the domain and range of the exponential function h(x) = 125 x

NARA [144]

Domain is all real numbers.
Range is all real numbers geater than 0

8 0

3 years ago

Three angles of a hexagon are congruent. The other three angles are also congruent, each with a measure twice that of the first

Serga [27]

The sum of the interior angles of a hexagon is 720 degrees. If 3 angles are congruent, each with measure x degrees, and the other 3 angles are also congruent to each other, each with measure 2x degrees, then the total sum of all 6 angles would be 3x + 3(2x) = 9x. If this is equal to 720, then x = 80 degrees, while 2x = 160 degrees.
Therefore, there are 3 80-degree angles and 3 160-degree angles.

3 0

2 years ago

Which the slope-intercept form of the equation of each line the slope and y-intercept?

Delvig [45]

SPOTLIGHT DEMYSTIFIED QUIZZES GALLERIES LISTS ON THIS DAY BIOGRAPHIESSEARCH BRITANNICAWhat are you looking for?SearchBROWSE POPULAR TOPICS:Pearl Harbor attack American Revolution Reign of Terror Photosynthesis Las PosadasYou have reached Britannica's public website.For ad-free access to your Britannica School or Library account CLICK HEREChemical compoundWRITTEN BY: Melvyn C. UsselmanRichard O.C. NormanSteven S. ZumdahlCarl R. NollerSee Article HistoryChemical compound, any substance composed of identical moleculesconsisting of atoms of two or more chemical elements.Methane, in which four hydrogen atoms are bound to a single carbon atom, is an example of a basic chemical compound. The structures of chemical compounds are influenced by complex factors, such as bond angles and bond length.Encyclopædia Britannica, Inc.All the matter in the universe is composed of the atoms of more than 100 different chemical elements, which are found both in pure form and combined in chemical compounds. A sample of any given pure element is composed only of the atoms characteristic of that element, and the atoms of each element are unique. For example, the atoms that constitute carbon are different from those that make up iron, which are in turn different from those of gold. Every element is designated by a unique symbol consisting of one, two, or three letters arising from either the current element name or its original (often Latin) name. For example, the symbols for carbon, hydrogen, and oxygen are simply C, H, and O, respectively. The symbol for iron is Fe, from its original Latin name ferrum. The fundamental principle of the science of chemistry is that the atoms of different elements can combine with one another to form chemical compounds. Methane, for example, which is formed from the elements carbon and hydrogen in the ratio four hydrogen atoms for each carbon atom, is known to contain distinct CH4 molecules. The formula of a compound—such as CH4—indicates the types of atoms present, with subscripts representing the relative numbers of atoms (although the numeral 1 is never written).

6 0

2 years ago